Document:

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                                                                   Exhibit 10.31

Warrant No. CA-[WarrantNo]/2000

                                         Warrant to Purchase [NoofShares] Shares

                             SHARE PURCHASE WARRANT

             To Purchase Shares of Common Stock (par value $0.001)

                                       of

                                 Cardima, Inc.
                            (a Delaware corporation)

                           Expires February 25, 2005
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NEITHER THIS WARRANT NOR THE SHARES ISSUABLE UPON EXERCISE HEREOF MAY BE
TRANSFERRED EXCEPT IN A TRANSACTION REGISTERED UNDER THE SECURITIES ACT OF 1933,
AS AMENDED, OR WHICH IS EXEMPT FROM THE REGISTRATION REQUIREMENTS OF THAT ACT.

            VOID AFTER 5:00 P.M. NEW YORK TIME, ON FEBRUARY 25, 2005

                                 CARDIMA, INC.

                   WARRANT TO PURCHASE SHARES OF COMMON STOCK

                                            [NoofShares1] Shares of Common Stock

          THIS CERTIFIES that, for good and valuable consideration received,
[NameofHolder] (the "Holder"), is entitled to subscribe for and purchase from
                     ------
Cardima, Inc., a Delaware corporation (the "Company"), upon the terms and
                                            -------
conditions set forth herein, at any time or from time to time until 5:00 P.M.
New York City time on February 25, 2005 (the "Expiration Date"), all or any
                                              ---------------
portion of [NoofShares2] shares of common stock of the Company, par value $0.001
per share, subject to adjustment as provided herein (the "Warrant Shares"), at a
                                                          --------------
price of $2.48 per share, subject to adjustment as provided herein (as so
adjusted, the "Exercise Price"). This Warrant shall not be redeemable by the
               --------------
Company. The term "Shares" as used herein shall mean the Company's Common Stock,
                   ------
par value $0.001 per share. This Warrant is the Warrant or one of the Warrants
(collectively, including any Warrant issued upon the exercise or transfer of any
such Warrant, in whole or in part, the "Warrants") issued pursuant to various
                                        --------
subscription agreements between the Company and the subscribers party thereto
entered into in connection with the offering (the "Offering") by the Company of
                                                   --------
up to 4,666,666 Shares, together with Warrants to purchase one Share for each
five Shares purchased in the Offering .  As used herein, the term "this Warrant"
shall mean and include this Warrant and any Warrant or Warrants hereafter issued
as a consequence of the exercise or transfer of this Warrant in whole or in
part.  No sale, transfer, assignment or hypothecation of this Warrant, or of the
Warrant Shares, will be permitted unless (a) a registration statement under the
Securities Act of 1933, as amended (the "Act"), with respect thereto has become
                                         ---
effective and appropriate qualification or other action has been taken under
state securities laws, or (b) there is presented to the Company notice of the
proposed transfer and a legal opinion reasonably satisfactory to the Company
that such registration and qualification or other action is not required.

          1.  Method of Exercise.  This Warrant may be exercised at any time
              ------------------
prior to the Expiration Date, as to the whole or any lesser number of Warrant
Shares, by the surrender of this Warrant accompanied by a duly completed and
executed Notice of Exercise (in the form attached hereto) to the Company at its
office at 47266 Benicia Street, Freemont, California 94538, or at such other
place as may be designated in writing by the Company, together with a certified
or bank cashier's check payable to the order of the Company in an amount equal
to the Exercise Price multiplied by the number of Warrant

                                      -2-
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Shares for which this Warrant is being exercised. In lieu of the payment of the
Exercise Price, the Holder shall have the right (but not the obligation), during
the Exercise Period, to require the Company to convert this Warrant, in whole or
in part, into Warrant Shares as provided for in this Section 1 (the "Conversion
                                                     ---------       ----------
Right"). Upon exercise of the Conversion Right, the Company shall deliver to the
Holder (without payment by the Holder of the Exercise Price) that number of
Shares equal to the product of (i) the number of Warrant Shares issuable upon
exercise of the portion of the Warrant being converted, multiplied by (ii) the
quotient obtained by dividing (x) the value of the Warrant (on a per Warrant
Share basis immediately prior to the exercise of the Conversion Right) at the
time the Conversion Right is exercised (determined by subtracting the Exercise
Price from the "Conversion Market Price" (as defined below)) by (y) the
Conversion Market Price of one Share immediately prior to the exercise of the
Conversion Right. The Conversion Rights provided under this Section 1 may be
                                                            ---------
exercised in whole or in part and at any time and from time to time while any
Warrants remain outstanding. In order to exercise the Conversion Right, the
Holder shall surrender to the Company, at its offices, this Warrant accompanied
by a duly completed and executed Conversion Notice (in the form attached
hereto). The presentation and surrender shall be deemed a waiver of the Holder's
obligation to pay all or any portion of the aggregate purchase price payable for
the Warrant Shares being issued upon such exercise of this Warrant. This Warrant
(or so much thereof as shall have been surrendered for exercise or conversion)
shall be deemed to have been exercised or converted, as the case may be,
immediately prior to the close of business on the day of surrender of this
Warrant for exercise or conversion in accordance with the foregoing provisions.
As promptly as practicable on or after the exercise or conversion date, as the
case may be, the Company shall issue and shall deliver to the Holder (i) a
certificate or certificates representing the largest number of whole Warrant
Shares which the Holder shall be entitled as a result of the exercise or
conversion, and (ii) if such Warrant is being exercised or converted in part
only, a new Warrant exercisable for the number of Warrant Shares equal to the
unconverted portion of the Warrant. Upon any exercise or conversion of this
Warrant, in lieu of any fractional Warrant Shares to which the Holder shall be
entitled, the Company shall pay to the Holder cash in accordance with the
provisions of Section 5(f) hereof.  For purposes hereof, the term "Conversion
                                                                   ----------
Market Price" shall be the per share closing price of the Shares on the last
trading day immediately prior to the date on which the Conversion Right is
exercised, determined in accordance with the procedures set forth in the last
two sentences of Section 5(f).
                 ------------

          2.  Issuance of Certificates.  Upon each exercise of the Holder's
              ------------------------
rights to purchase Warrant Shares, the Holder shall be deemed to be the holder
of record of the Warrant Shares issuable upon such exercise, notwithstanding
that the transfer books of the Company shall then be closed or certificates
representing such Warrant Shares shall not then have been actually delivered to
the Holder. As soon as practicable after each such exercise of this Warrant, the
Company shall issue and deliver to the Holder a certificate or certificates for
the Warrant Shares issuable upon such exercise, registered in the name of the
Holder or its designee. If this Warrant shall be exercised in part only, upon
surrender of this Warrant for cancellation, the Company shall execute and
deliver a new Warrant evidencing the right of the Holder to purchase the balance
of the Warrant Shares subject to purchase hereunder.

          3.  Recording of Transfer.  Any Warrants issued upon the transfer or
              ---------------------
exercise in part of this Warrant shall be numbered and shall be registered in a
Warrant

                                      -3-
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Register as they are issued. The Company shall be entitled to treat the
registered holder of any Warrant on the Warrant Register as the owner in fact
thereof for all purposes and shall not be bound to recognize any equitable or
other claim to or interest in such Warrant on the part of any other person, and
shall not be liable for any registration or transfer of Warrants which are
registered or to be registered in the name of a fiduciary or the nominee of a
fiduciary unless made with the actual knowledge that a fiduciary or nominee is
committing a breach of trust in requesting such registration or transfer, or
with the knowledge of such facts that its participation therein amounts to bad
faith. This Warrant shall be transferable only on the books of the Company upon
delivery thereof duly endorsed by the Holder or by the Holder's duly authorized
attorney or representative, or accompanied by proper evidence of succession,
assignment or authority to transfer. In all cases of transfer by an attorney,
executor, administrator, guardian or other legal representative, duly
authenticated evidence of his or its authority shall be produced. Upon any
registration of transfer, the Company shall deliver a new Warrant or Warrants to
the person entitled thereto. This Warrant may be exchanged, at the option of the
Holder hereof, for another Warrant, or other Warrants of different
denominations, of like tenor and representing in the aggregate the right to
purchase a like number of Warrant Shares, upon surrender to the Company or its
duly authorized agent. Notwithstanding the foregoing, the Company shall have no
obligation to cause this Warrant to be transferred on its books to any person
if, in the written opinion of counsel to the Company, such transfer does not
comply with the provisions of the Act and the rules and regulations thereunder.

          4.  Reservation of Shares.  The Company shall at all times reserve and
              ---------------------
keep available out of its authorized and unissued Shares, solely for the purpose
of providing for the exercise of this Warrant, such number of shares of Shares
as shall, from time to time, be sufficient therefor. The Company covenants that
all Shares issuable upon exercise of this Warrant, upon receipt by the Company
of the full payment therefor, shall be validly issued, fully paid, nonassessable
and free of preemptive rights.

          5.  Exercise Price and Number of Warrant Shares Adjustments.  Subject
              -------------------------------------------------------
to the provisions of this Section 5, the Exercise Price in effect from time to
                          ---------
time and the number of Warrant Shares purchasable upon the exercise of this
Warrant shall be subject to adjustment, as follows:

          (a) In case the Company shall at any time after the date hereof (i)
declare a dividend or make a distribution on the outstanding Shares payable in
shares of its capital stock or securities convertible into or exchangeable for
capital stock, (ii) subdivide the outstanding Shares, (iii) combine the
outstanding Shares into a smaller number of shares, or (iv) issue any shares by
reclassification of the Shares (other than a change in par value, or from par
value to no par value, or from no par value to par value, but including any such
reclassification in connection with the consolidation or merger of the Company
with or into another corporation (other than a merger in which the Company is
the continuing corporation and which does not result in any reclassification or
change of the then outstanding Shares or other shares issuable upon exercise of
the Warrants)), then, in each case, the Exercise Price in effect, and the number
                ----
of Shares issuable upon exercise of the Warrants outstanding, at the time of the
record date for such dividend or at the effective date of such subdivision,
combination or reclassification, shall be proportionately adjusted so that the
holders of the Warrants after such time shall be entitled to receive the
aggregate

                                      -4-
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number and kind of Shares which, if such Warrants had been exercised immediately
prior to such time, such holders would have owned upon such exercise and
immediately thereafter been entitled to receive by virtue of such dividend,
subdivision, combination or reclassification. Such adjustment shall be made
successively whenever any event listed above shall occur.

          (b) In case the Company shall distribute to all holders of Shares
(including any such distribution made to the stockholders of the Company in
connection with a consolidation or merger in which the Company is the surviving
or continuing corporation) evidences of its indebtedness, cash or assets (other
than distributions and dividends payable in Shares), or rights, options or
warrants to subscribe for or purchase Shares or securities convertible into or
exchangeable for Shares, then, in each case, the Exercise Price shall be
                         ----
adjusted by multiplying the Exercise Price in effect immediately prior to the
record date for the determination of shareholders entitled to receive such
distribution by a fraction, the numerator of which shall be the Current Market
Price per Share (as determined pursuant to Section 5(f) hereof) on such record
                                           ------------
date, less the fair market value (as determined pursuant in good faith by the
Board of Directors of the Company, whose determination shall be conclusive
absent manifest error) of the portion of the evidences of indebtedness or assets
so to be distributed, or of such rights, options or warrants or convertible or
exchangeable securities, or the amount of such cash, applicable to one Share,
and the denominator of which shall be such Current Market Price per Share.  Such
adjustment shall become effective at the close of business on such record date.

          (c)  (i)  In the event that the Company shall sell or issue at any
time after the date hereof Shares (other than Excluded Stock, as defined below)
at a consideration per share less than the Exercise Price in effect immediately
prior to the time of such sale or issuance, then, upon such sale or issuance,
                                            ----
the Exercise Price shall be reduced to an adjusted price (calculated to the
nearest cent) determined by dividing (i) the sum of (A) the total number of
shares of Stock Outstanding (as defined below) immediately prior to such sale or
issuance multiplied by the then-existing Exercise Price, plus (B) the aggregate
of the amount of all consideration, if any, received by the Company upon such
sale or issuance, by (ii) the total number of shares of Stock Outstanding
immediately after such sale or issuance.

In no event shall any such adjustment be made if it would increase the Exercise
Price  in effect immediately prior to such adjustment, except as provided in
Section 5(c)(iv) and 5(c)(v) below.
----------------     -------

               (ii) For purposes of this Section 5(c), the following definitions
shall apply:                             ------------

          (A) "Convertible Securities" shall mean any indebtedness or equity
               ----------------------
securities convertible into or exchangeable for Shares.

          (B) "Options" shall mean any rights, warrants or options to subscribe
               -------
for or purchase Shares or Convertible Securities.

                                      -5-
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          (C) "Stock Outstanding" shall mean the aggregate of all Shares
               -----------------
outstanding and all Shares issuable upon exercise of all outstanding Options and
conversion of all outstanding Convertible Securities.

          (iii)  For the purposes of this Section 5(c), the following provisions
                                          ------------
shall also be applicable:

          (A) Cash Consideration.  In case of the sale or issuance (otherwise
              -------------------
than conversion or exchange of Convertible Securities) of additional Shares,
Options or Convertible Securities for cash, the consideration received by the
Company therefor shall be deemed to be the amount of cash received by the
Company for such Shares (or, if such Shares are offered by the Company for
subscription, the subscription price, or, if such Shares are sold to
underwriters or dealers for public offering without a subscription offering, the
public offering price), without deducting therefrom any compensation or discount
paid or allowed to underwriters or dealers or others performing similar services
or for any expenses incurred in connection therewith.

          (B) Non-Cash Consideration.  In case of the sale or issuance
              ----------------------
(otherwise than upon conversion or exchange of Convertible Securities) of
additional Shares, Options or Convertible Securities for a consideration other
than cash or a consideration a part of which shall be other than cash, the fair
value of such consideration as determined by the Board of Directors of the
Company in the good faith exercise of its business judgment, irrespective of the
accounting treatment thereof, shall be deemed to be the value, for purposes of
this Section 5(c), of the consideration other than cash received by the Company
     ------------
for such securities.

          (C) Options and Convertible Securities.  In case the Company shall in
              ----------------------------------
any manner issue or grant any Options or any Convertible Securities, the total
maximum number of Shares issuable upon the exercise of such Options or upon
conversion or exchange of the total maximum amount of such Convertible
Securities at the time such Convertible Securities first become convertible or
exchangeable shall (as of the date of issue or grant of such Options or, in the
case of the sale or issue of Convertible Securities (other than where the same
are issuable upon the exercise of Options), as of the date of such sale or
issue) be deemed to be issued and to be outstanding for the purpose of this

Section 5(c) and to have been issued for the sum of the amount (if any) paid for
------------
such Options or Convertible Securities and the amount (if any) payable upon the
exercise of such Options or upon conversion or exchange of such Convertible
Securities at the time such Convertible Securities first become convertible or
exchangeable; provided that, subject to the provisions of Section 5(c)(iv), no
              --------                                    ----------------
further adjustment of the Exercise Price  shall be made upon the actual issuance
of any such Shares or Convertible Securities or upon the conversion or exchange
of any such Convertible Securities.

          (iv) In the event that the purchase price provided for in any Option
referred to in subsection 5(c)(iii)(C) or the rate at which any Convertible
               -----------------------
Securities referred to in subsection 5(c)(iii)(C) are convertible into or
                          -----------------------
exchangeable for Shares shall change at any time or any additional consideration
shall be payable in connection with the exercise of any Option or the conversion
or exchange of any Convertible Securities (other than under or by reason of
provisions designed to protect against dilution upon the

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occurrence of events of the type described in this Section 5), then, for
                                                   ---------   ----
purposes of any adjustment required by Section 5(c), the Exercise Price in
                                       ------------
effect at the time of such event shall forthwith be readjusted to the Exercise
Price that would have been in effect at such time had such Options or
Convertible Securities still outstanding provided for such changed purchase
price, conversion rate or additional consideration, as the case may be, at the
time initially granted, issued or sold; provided, that if such readjustment is
                                        --------
an increase in the Exercise Price, such readjustment shall not exceed the amount
(as adjusted by Sections 5(a), 5(b) or 5(c)) by which the Exercise Price was
                -------------  ----    ----
decreased pursuant to Section 5(c) upon the issuance of the Option or
Convertible Securities.

          (v) In the event of the termination or expiration of any right to
purchase Shares under any Option granted after the date of this Warrant or of
any right to convert or exchange Convertible Securities issued after the date of
this Warrant, the Exercise Price  shall, upon such termination, be readjusted to
the Exercise Price  that would have been in effect at the time of such
expiration or termination had such Option or Convertible Securities, to the
extent outstanding immediately prior to such expiration or termination, never
been issued, and the Shares issuable thereunder shall no longer be deemed to be
Stock Outstanding; provided, that if such readjustment is an increase in the
                   --------
Exercise Price, such readjustment shall not exceed the amount (as adjusted by
Sections 5(a), 5(b) or 5(c)) by which the Exercise Price was decreased pursuant
-------------  ----    ----
to Section 5(c) upon the issuance of the Option or Convertible Securities.  The
   ------------
termination or expiration of any right to purchase Shares under any Option
granted prior to the date of this Warrant or of any right to convert or exchange
Convertible Securities issued prior to the date of this Warrant shall not
trigger any adjustment to the Exercise Price, but the shares of Stock issuable
under such Options or Convertible Securities shall no longer be counted in
determining the number of shares of Stock Outstanding on the date of issuance of
this Warrant for purposes of subsequent calculations under this Section 5(c).
                                                                ------------

          (vi) Notwithstanding anything herein to the contrary, the Exercise
Price  shall not be adjusted pursuant to this Section 5(c) by virtue of the
                                              ------------
issuance and/or sale of "Excluded Stock," which shall mean the following:  (a)
                         --------------
Shares, Options or Convertible Securities to be issued and/or sold to employees,
advisors, directors, or officers of, or consultants to, the Company or any of
its subsidiaries pursuant to a stock grant, stock option plan, restricted stock
agreements, stock purchase plan, pension or profit sharing plan or other stock
agreement or arrangement; (b) Shares, Options and/or Convertible Securities to
be issued pursuant to Options and/or Convertible Securities outstanding as of
the date of this Warrant; and (c) Shares and Warrants to be issued in connection
with the Offering.  For all purposes of this Section 5(c), all shares of
                                             ------------
Excluded Stock shall be deemed to have been issued for an amount of
consideration per share equal to the initial Exercise Price (subject to
adjustment in the manner set forth in Section 5(a) and 5(b)).
                                      ------------     ----

          (d) Whenever there shall be an adjustment as provided in this Section
                                                                        -------
5, the Company shall within 15 days thereafter cause written notice thereof to
-
be sent by registered mail, postage prepaid, to the Holder, at its address as it
shall appear in the Warrant Register, which notice shall be accompanied by an
officer's certificate setting forth the adjusted number of Warrant Shares
issuable hereunder and the exercise price thereof after such adjustment and
setting forth a brief statement of the facts requiring such

                                      -7-
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adjustment and the computation thereof, which officer's certificate shall be
conclusive evidence of the correctness of any such adjustment absent manifest
error.

          (e) The Company shall not be required to issue fractions of Shares or
other shares of the Company upon the exercise of this Warrant.  If any fraction
of a share would be issuable upon the exercise of this Warrant (or specified
portions thereof), the Company may issue a whole share in lieu of such fraction
or the Company may purchase such fraction for an amount in cash equal to the
same fraction of the Current Market Price of such Shares on the date of exercise
of this Warrant.

          (f) The "Current Market Price" per Share on any date shall be deemed
                   --------------------
to be the average of the daily closing prices for the Shares for the five (5)
consecutive trading days immediately preceding the date in question.  The
closing price for each day shall be the last reported sales price regular way
or, in case no such reported sale takes place on such day, the average of the
closing bid and asked prices regular way, in either case on the principal
national securities exchange on which the Shares are listed or admitted to
trading or, if the Shares are not listed or admitted to trading on any national
securities exchange, the highest reported bid price for the Shares as furnished
by the National Association of Securities Dealers, Inc. through NASDAQ or a
similar organization if NASDAQ is no longer reporting such information.  If on
any such date the Shares are not listed or admitted to trading on any national
securities exchange and are not quoted by NASDAQ or any similar organization,
the Current Market Price per Share shall be the fair value of a Share on such
date, as determined in good faith by the Board of Directors of the Company,
whose determination shall be conclusive absent manifest error.

          (g) No adjustment in the Exercise Price shall be required if such
adjustment is less than $0.05; provided, however, that any adjustments which by
                               --------  -------
reason of this Section 5(g) are not required to be made shall be carried forward
               ------------
and taken into account in any subsequent adjustment.  All calculations under
this Section 5 shall be made to the nearest cent or to the nearest thousandth of
     ---------
a share, as the case may be.

          (h) Upon each adjustment of the Exercise Price as a result of the
calculations made in this Section 5, the Warrants shall thereafter evidence the
                          ---------
right to purchase, at the adjusted Exercise Price, that number of Shares
(calculated to the nearest hundredth) obtained by dividing (i) the product
obtained by multiplying the number of Shares purchasable upon exercise of the
Warrants prior to adjustment of the number of Shares by the Exercise Price in
effect prior to adjustment of the Exercise Price by (ii) the Exercise Price in
effect after such adjustment of the Exercise Price.

     6.  Consolidations and Mergers.  (a)  In case of any consolidation with or
         --------------------------
merger of the Company with or into another corporation (other than a merger or
consolidation in which the Company is the surviving or continuing corporation
and which does not result in any reclassification of the outstanding Shares or
the conversion of such outstanding Shares into shares of other stock or other
securities or property), or in case of any sale, lease or conveyance to another
corporation of the property and assets of any nature of the Company as an
entirety or substantially as an entirety (such actions being hereinafter
collectively referred to as "Reorganization s"), there shall thereafter be
                             ---------------
deliverable upon exercise of this Warrant (in lieu of the number of Shares
theretofore deliverable) the kind

                                      -8-
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and amount of shares of stock or other securities, cash or other property which
would otherwise have been deliverable, upon such Reorganization, to a holder of
the number of Shares upon the exercise of this Warrant if this Warrant had been
exercised in full immediately prior to such Reorganization. In case of any
Reorganization, appropriate adjustment, as determined in good faith by the Board
of Directors of the Company, shall be made in the application of the provisions
herein set forth with respect to the rights and interests of the Holder so that
the provisions set forth herein shall thereafter be applicable, as nearly as
possible, in relation to any shares or other property thereafter deliverable
upon exercise of this Warrant. Notwithstanding the foregoing, the Company shall
not effect any such Reorganization unless upon or prior to the consummation
thereof the successor corporation, or, if the Company shall be the surviving
corporation in any such Reorganization and is not the issuer of the shares of
stock or other securities or property to be delivered to holders of Shares
outstanding at the effective time thereof, then such issuer, shall assume by
written instrument the obligation to deliver to the Holder such shares of stock,
securities, cash or other property as the Holder shall be entitled to purchase
in accordance with the foregoing provisions.

          (b) In case of any reclassification or change of the Shares issuable
upon exercise of this Warrant (other than a change in par value or from no par
value to a specified par value, or as a result of a subdivision or combination,
but including any change in the Shares into two or more classes or series of
shares), or in case of any consolidation or merger of another corporation into
the Company in which the Company is the continuing corporation and in which
there is a reclassification or change (including a change to the right to
receive cash or other property) of the Shares (other than a change in par value,
or from no par value to a specified par value, or as a result of a subdivision
or combination, but including any change in the Shares into two or more classes
or series of shares), the Holder shall have the right thereafter to receive upon
exercise of this Warrant solely the kind and amount of shares of stock and other
securities, property, cash or any combination thereof receivable upon such
reclassification, change, consolidation or merger by a holder of the number of
Shares for which this Warrant might have been exercised immediately prior to
such reclassification, change, consolidation or merger. Thereafter, appropriate
provision shall be made for adjustments which shall be as nearly equivalent as
practicable to the adjustments in Section 5.
                                  ---------

          (c) The above provisions of this Section 6 shall similarly apply to
                                           ---------
successive Reorganizations, reclassifications and changes of Shares and to
successive consolidations, mergers, sales, leases, or conveyances.

      7.  Notice of Certain Events.  In case at any time any of the following
          ------------------------
occur:

          (a) The Company shall take a record of the holders of its Shares for
the purpose of entitling them to receive a dividend or distribution payable
otherwise than in cash, or a cash dividend or distribution payable otherwise
than out of current or retained earnings, as indicated by the accounting
treatment of such dividend or distribution on the books of the Company; or

                                      -9-
<PAGE>

          (b) The Company shall offer to all the holders of its Shares any
additional shares of capital stock of the Company or securities convertible into
or exchangeable for shares of capital stock of the Company, or any option, right
or warrant to subscribe therefor; or

          (c) The Company shall take any action to effect any Reorganization,
reclassification or change of outstanding Shares or any consolidation, merger,
sale, lease or conveyance of property, in each case as described in Section 6;
                                                                    ---------
or

          (d) The Company shall take any action to effect any liquidation,
dissolution or winding-up of the Company or a sale of all or substantially all
of its property, assets and business;

then, and in any one or more of such cases, the Company shall give written
----
notice thereof, by registered mail, postage prepaid, to the Holder at the
Holder's address as it shall appear in the Warrant Register, mailed at least
fifteen (15) days prior to (i) the date as of which the holders of record of
Shares to be entitled to receive any such dividend, distribution, rights,
warrants or other securities are to be determined, (ii) the date on which any
such offer to holders of Shares is made, or (iii) the date on which any such
Reorganization, reclassification, change of outstanding Shares, consolidation,
merger, sale, lease, conveyance of property, liquidation, dissolution or
winding-up is expected to become effective and the date as of which it is
expected that holders of record of Shares shall be entitled to exchange their
shares for securities or other property, if any, deliverable upon such
reclassification, change of outstanding shares, consolidation, merger, sale,
lease, conveyance of property, liquidation, dissolution or winding-up.

       8.  Taxes.  The issuance of any Warrant Shares or other securities
           -----
upon the exercise of this Warrant and the delivery of certificates or other
instruments representing such Warrant Shares or other securities shall be made
without charge to the Holder for any tax or other charge in respect of such
issuance. The Company shall not, however, be required to pay any tax which may
be payable in respect of any transfer involved in the issue and delivery of any
certificate in a name other than that of the Holder (except for any tax that is
payable in respect of any such transfer and any related exercise of this Warrant
and that would be payable pursuant to the first sentence of this Section 8 were
                                                                 ---------
such certificate to be issued in the name of the Holder) and the Company shall
not be required to issue or deliver any such certificate unless and until the
person or persons requesting the issue thereof shall have paid to the Company
the amount of such tax or shall have established to the satisfaction of the
Company that such tax has been paid.

       9.  Legend.  The certificate or certificates evidencing the Warrant
           ------
Shares shall bear the following legend (until such time as the applicable
Warrant Shares are sold under an effective registration statement or pursuant to
Rule 144 under the Act):

               "THE SHARES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN
               REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED, OR STATE
               SECURITIES LAWS, BUT HAVE BEEN

                                      -10-
<PAGE>

               ISSUED OR TRANSFERRED PURSUANT TO AN EXEMPTION FROM THE
               REGISTRATION REQUIREMENTS OF THE ACT. SUCH SHARES MAY NOT BE
               OFFERED OR SOLD EXCEPT PURSUANT TO (i) A REGISTRATION STATEMENT
               UNDER SUCH ACT, OR (ii) AN EXEMPTION FROM REGISTRATION UNDER SUCH
               ACT."

      10.  Replacement of Warrants.  Upon receipt of evidence satisfactory to
           -----------------------
the Company of the loss, theft, destruction or mutilation of any Warrant (and
upon surrender of any Warrant if mutilated), and upon reimbursement of the
Company's reasonable incidental expenses, the Company shall execute and deliver
to the Holder thereof a new Warrant of like date, tenor and denomination.

      11.  No Rights as Stockholder.  The Holder of any Warrant shall not have,
           ------------------------
solely on account of such status, any rights of a stockholder of the Company,
either at law or in equity, or to any notice of meetings of stockholders or of
any other proceedings of the Company, except as provided in this Warrant.

      12.  Notices.  All notices, requests, consents and other communications
           -------
hereunder shall be in writing and shall be deemed to have been duly made when
delivered, or mailed by registered or certified mail, return receipt requested:

           (a) If to the registered Holder of this Warrant, to the address of
such Holder as shown on the Warrant Register; or

           (b) If to the Company, to the address set forth on the first page of
this Warrant or to such other address as the Company may designate by notice to
the Holder.

      13.  Successors.  All the covenants, agreements, representations and
           ----------
warranties contained in this Warrant shall bind the parties hereto and their
respective heirs, executors, administrators, distributees, successors and
assigns.

      14.  Headings.  The Article and Section headings in this Warrant are
           --------
inserted for purposes of convenience only and shall have no substantive effect.

      15.  Governing Law.  This Warrant shall be construed in accordance with
           -------------
the laws of the State of New York applicable to contracts made and performed
within such State, without regard to principles of conflicts of law.

      16.  Modification of Agreement.  This Warrant shall not otherwise be
           -------------------------
modified, supplemented or amended in any respect unless such modification,
supplement or amendment is in writing and signed by the Company and the Holder
of this Warrant and Holders of any portion of the Warrant subsequently assigned
or transferred in accordance with the terms of this Warrant.

                                      -11-
<PAGE>

     17.  Consent to Jurisdiction.  The Company and the Holder irrevocably
          -----------------------
consent to the jurisdiction of the courts of the State of New York and of any
federal court located in such State in connection with any action or proceeding
arising out of or relating to this Warrant, any document or instrument delivered
pursuant to, in connection with or simultaneously with this Warrant, or a breach
of this Warrant or any such document or instrument. In any such action or
proceeding, the Company waives personal service of any summons, complaint or
other process and agrees that service thereof may be made in accordance with
Section 14 hereof.
----------

          IN WITNESS WHEREOF, the undersigned has executed this instrument as of
the date set forth below.

Dated:  As of February 25, 2000                 CARDIMA, INC.

                              By: _______________________________________

                              Name: _____________________________________

                              Title: ____________________________________

                                      -12-
<PAGE>

                               FORM OF ASSIGNMENT

          (To be executed by the registered holder if such holder desires to
transfer the Warrant)

     FOR VALUE RECEIVED, _____________________________________________________
hereby sells, assigns, and transfers unto ____________________, having an
address at , the attached Warrant to the extent of the right to purchase shares
of Common Stock, par value $0.001 per share, of Cardima, Inc., (the "Company"),
                                                                     -------
together with all right, title, and interest therein, and does hereby
irrevocably constitute and appoint as attorney to transfer such Warrant on the
books of the Company, with full power of substitution.

Dated: _____________, _____________

       _________________________________________ Print name of holder of Warrant

     By:________________________________________ Name:
                                                 Title:

                                     NOTICE

          The signature on the foregoing Assignment must correspond to the name
as written upon the face of this Warrant in every particular, without alteration
or enlargement or any change whatsoever.

                                      -13-
<PAGE>

                               NOTICE OF EXERCISE

          The undersigned hereby exercises its rights to purchase
____________________ Warrant Shares covered by the within Warrant and tenders
payment herewith in the amount of $____________________________ in accordance
with the terms thereof, and requests that certificates for such securities be
issued in the name of, and delivered to:

                    (Print Name, Address and Social Security
                         or Tax Identification Number)

and, if such number of Warrant Shares shall not be all the Warrant Shares
covered by the within Warrant, that a new Warrant for the balance of the Warrant
Shares covered by the within Warrant be registered in the name of, and delivered
to, the undersigned at the address stated below.

Dated: _________________________________  Name:_______________________________

                                                 (Print)

       ---------------------------------                (Signature)
                                               (Signature must conform to the
                                               name of the warrant Holder
                                               specified on the face of the
                                               Warrant)
Address:

                                      -14-
<PAGE>

                               CONVERSION NOTICE

          The undersigned hereby exercises its Conversion Rights to receive
____________________ Warrant Shares covered by the within Warrant.  Based upon a
Conversion Market Price of $___________ per Share, the undersigned hereby
requests that a certificate for such Warrant Shares be issued in the name of,
and delivered to:

                    (Print Name, Address and Social Security
                         or Tax Identification Number)

and, if such number of Warrant Shares shall not be all the Warrant Shares
covered by the within Warrant, that a new Warrant for the balance of the Warrant
Shares covered by the within Warrant be registered in the name of, and delivered
to, the undersigned at the address stated below.

Dated: _____________________________  Name:_____________________________________

                                                (Print)

       ----------------------------
                                                     (Signature)
                                         (Signature must conform to the name of
                                         the warrant Holder specified on the
                                         face of the Warrant)
Address:

                                      -15-<PAGE>

                                                                   EXHIBIT 10.32

                                 CARDIMA, INC.

                    A minimum of 2,666,666 ($6,000,000) and
                      a maximum of 4,666,666 ($10,500,000)
                            Shares of Common Stock,
                 and a detachable Warrant (as described below)

                             SALES AGENCY AGREEMENT
                             ----------------------

                                    As of February __, 2000

Sunrise Securities Corp.
135 E. 57th Street
New York, New York 10022

Dear Sirs:

          Cardima, Inc., a Delaware corporation (the "Company"), proposes to
                                                      -------
offer for sale in a private offering (the "Offering"), pursuant to Rule 506 of
                                           --------
Regulation D ("Regulation D") under the Securities Act of 1933, as amended (the
               ------------
"Act"), a minimum of 2,666,666 (including "Affiliate Shares," and "Insider
 ---
Shares", each as hereinafter defined, if any) and a maximum of 4,666,666 shares
(the "Shares") of the Company's common stock, par value $0.001 per share (the
      ------
"Common Stock"), together with a detachable warrant to purchase one share of
-------------
Common Stock for each five Shares purchased in the Offering (the "Warrants" and
                                                                  --------
together with the Shares, the "Units").  This Offering is being made solely to
                               -----
"accredited investors" as defined in Regulation D.  This is to confirm our
agreement concerning your acting as our exclusive placement agent (the

"Placement Agent") in connection with the Offering.
----------------

          The Company has furnished or made available to the Placement Agent the
Company's Annual Report on Form 10-K for the fiscal year ended December 31,
1998, (the "Form 10-K"), quarterly report on Form 10-Q for the quarter ended
            ---------
March 31, 1999, quarterly report on Form 10-Q for the quarter ended June 30,
1999, quarterly report on Form 10-Q for the quarter ended September 30, 1999
(the "Most Recent 10-Q") and any other reports filed by the Company pursuant to
      ----------------
the Securities Exchange Act of 1934, as amended (the "Exchange Act") or the
                                                      ------------
rules and regulations promulgated thereunder, prior to Closing (collectively,
the "SEC Filings"), in each case as filed with the Securities and Exchange
     -----------
Commission (the "Commission").
                 ----------

          1.  Appointment of Placement Agent.  On the basis of the
              ------------------------------
representations and warranties contained herein, and subject to the terms and
conditions set forth herein, the Company hereby appoints you as its Placement
Agent and grants to you the exclusive right to offer, as its agent, the Units
pursuant to the terms of this Agreement.  On the basis of such representations
and warranties, and subject to such conditions, you hereby
<PAGE>

accept such appointment and agree to use your best efforts to secure
subscriptions to purchase a minimum of 2,666,666 ($6,000,000) and a maximum of
4,666,666 ($10,500,000) Shares and accompanying Warrants pursuant to the terms
of this Agreement. The agency created hereby is not terminable by the Company
except upon termination of the Offering or upon expiration of the Offering
Period (as hereinafter defined) in accordance with the terms of this Agreement.

          2.  Terms of the Offering.
              ---------------------

          (a) A minimum of 2,666,666, ($6,000,000) and a maximum of 4,666,666
($10,500,000) Shares and accompanying Warrants shall be offered for sale to
prospective investors in the Offering ("Prospective Investors") at a purchase
                                        ---------------------
price equal to $2.25 per Share and accompanying Warrant (the "Purchase Price").
                                                              --------------
The first closing of the Offering shall be conditioned on a simultaneous closing
of a $3,000,000 investment (the "St. Jude Investment") in the Company by St.
                                 -------------------
Jude Medical, Inc.  Certain of the Shares and accompanying Warrants offered for
sale may be sold to certain of the Company's current institutional investors
(the "Insider Shares").  In addition, officers, directors and employees of the
      --------------
Company and the Placement Agent may purchase Shares and accompanying Warrants
for their own accounts on the same terms and conditions as other investors (the
"Affiliate Shares").  The Affiliate Shares and Insider Shares shall be included
 ----------------
in determining whether the minimum and maximum number of Shares and accompanying
Warrants have been subscribed for, and all references herein to subscriptions
from Prospective Investors shall be deemed to include the Affiliate Shares and
the Insider Shares.

          (b) The Offering shall expire at 5:00 P.M., New York time, on April
10, 2000, unless extended from time to time for periods of up to an aggregate of
30 days by mutual agreement of the Company and the Placement Agent.  Such
period, as the same may be so extended, shall hereinafter be referred to as the
"Offering Period."
 ---------------

          (c) Each Prospective Investor who desires to purchase Shares and
accompanying Warrants shall be required to deliver to the Placement Agent one
copy of a subscription agreement in the form annexed hereto as Exhibit A,
                                                               ---------
including the investor questionnaire (the "Subscription Agreement"), and payment
                                           ----------------------
in the amount necessary to purchase the number of Shares and accompanying
Warrants such Prospective Investor desires to purchase.  The Placement Agent
shall not have any obligation to independently verify the accuracy or
completeness of any information contained in any Subscription Agreement or the
authenticity, sufficiency or validity of any check or other form of payment
delivered by any Prospective Investor in payment for Shares and accompanying
Warrants.

          (d) Pursuant to an Escrow Agreement, dated as of February __, 2000
(the "Escrow Agreement"), the Placement Agent has established a special account
      ----------------
with the United States Trust Company of New York (the "Escrow Agent") entitled
                                                       ------------
"Cardima, Inc. - Escrow Account" (the "Escrow Account").  The Placement Agent
                                       --------------
shall deliver each check received from a Prospective Investor to the Escrow
Agent for deposit in the Escrow Account and shall deliver the executed copy of
the Subscription Agreement received from such Prospective Investor to the
Company. The Company shall notify the Placement Agent promptly of the acceptance
or rejection of any subscription.  The Company and/or the

                                      -2-
<PAGE>

Placement Agent may reject any subscription. The funds in respect of the St.
Jude Investment shall be delivered to the Escrow Agent for deposit in the Escrow
Account.

          (e) If subscriptions to purchase 2,666,666 Shares and accompanying
Warrants ($6,000,000) are not received from Prospective Investors and the funds
in respect of the St. Jude Investment are not received from St. Jude and
accepted by the Company prior to the expiration of the Offering Period, the
Offering shall be canceled, all funds received by the Escrow Agent on behalf of
the Company shall be refunded in full without interest, and this Agreement and
the agency created hereby shall be terminated without any further obligation on
the part of either party, except as provided in Section 10 hereof.
                                                ----------

          (f) We agree that within 45 business days following completion of the
Offering (the "Final Closing"), the Company will file a registration statement
               -------------
(the "Registration Statement") under the Act covering the resale of the Shares.
      ----------------------
In the event the Registration Statement is not filed by the end of such 45
business-day period (the "Filing Deadline"), the Company agrees to issue to each
                          ---------------
purchaser of Shares an additional number of shares equal to 1.0% of the number
of Shares purchased for each 30 days or part thereof the filing is delayed until
60 days after the Filing Deadline, plus an additional 2% of the number of Shares
so purchased for each 30 days thereafter, until the Registration Statement is
filed.  In addition, in the event the Company shall fail to cause the
Registration Statement to be declared effective within 150 business days after
the Final Closing (the "Effectiveness Deadline"), the Company agrees to issue to
                        ----------------------
each purchaser of Shares an additional number of shares equal to 1.0% of the
number of Shares purchased for each 30 days or part thereof the effectiveness of
the Registration Statement is delayed until 60 days after the Effectiveness
Deadline, plus an additional 2% of the number of Shares so purchased for each 30
days thereafter, until the Registration Statement is declared effective.
Notwithstanding anything contained herein to the contrary, the Company shall not
be required to issue such additional shares of Common Stock in either instance
of failure to timely file or failure to timely cause effectiveness of the
Registration Statement, if such failure has been caused by (a) the failure of
the holders of the Shares to be registered to provide information in connection
with the Registration Statement or (b) the occurrence of a material event not in
the ordinary course which may delay the filing of the Registration Statement
pending public disclosure, which disclosure shall be promptly made.  We further
agree that the Company will use its reasonable best efforts to cause the
Registration Statement (A) to become effective under the Act as promptly as
practicable, and (B) to remain effective until such time as all Shares purchased
in the Offering become eligible for resale pursuant to Rule 144 under the Act.

          (g) The Company may at any time refuse to permit holders of the Shares
to resell any Shares pursuant to the Registration Statement upon delivery to
such holders of a written certificate to the effect that withdrawal of the
Registration Statement is necessary because a sale thereunder in then current
form would constitute a violation of federal securities laws.  In the event of a
withdrawal, the Company shall use its best efforts to amend the Registration
Statement and/or take all other necessary actions to again permit sales in
compliance with the federal securities laws.

                                      -3-
<PAGE>

          3.  Closing.
              -------

          (a) Subject to the conditions set forth in Section 8 hereof, if
                                                     ---------
subscriptions to purchase at least 2,666,666 Shares and accompanying Warrants
(including Insider Shares and Affiliate Shares) and funds in respect of the St.
Jude Investment have been received prior to the expiration of the Offering
Period and accepted by the Company, the initial closing under this Agreement
(the "Closing") shall be held at the offices of Piper Marbury Rudnick & Wolfe
      -------
LLP, 1251 Avenue of the Americas, New York, New York, at 10:00 A.M., New York
time, on the third business day following the date upon which the Placement
Agent receives notice from the Company that subscriptions to purchase at least
2,666,666 Shares and accompanying Warrants (including Insider Shares and
Affiliate Shares) and the funds in respect of the St. Jude Investment have been
so accepted or at such other place, time and/or date as the Company and the
Placement Agent shall agree upon.  The Company shall provide the notice required
by the preceding sentence as promptly as practicable.  The date upon which the
Closing is held shall hereinafter be referred to as the "Closing Date."
                                                         ------------

          (b) Subject to the conditions set forth in Section 8 hereof, if,
                                                     ---------
subsequent to the date the subscriptions referred to in Section 3(a) hereof are
                                                        -------------------
received and accepted and prior to the expiration of the Offering Period,
additional subscriptions to purchase Shares and accompanying Warrants are
received from Prospective Investors, which subscriptions are accepted by the
Company, one or more additional closings under this Agreement (each, an

"Additional Closing") shall be held at the offices of Piper Marbury Rudnick &
-------------------
Wolfe LLP, 1251 Avenue of the Americas at 10:00 A.M., New York time, on the
third business day following the date upon which the Placement Agent receives
notice from the Company that additional subscriptions have been so accepted, or
at such other place, time or date as the Company and the Placement Agent shall
agree upon.  The Company shall notify the Placement Agent as promptly as
practicable whether any additional subscriptions so received have been accepted.
The date upon which any Additional Closing is held shall hereinafter be referred
to as an "Additional Closing Date."
          -----------------------

          Notwithstanding anything contained herein to the contrary, in no event
shall the Company accept subscriptions to purchase in excess of 4,666,666 Shares
and accompanying Warrants (including Insider Shares and Affiliate Shares).

          (c) At the Closing or an Additional Closing, as the case may be, the
Company shall instruct the Escrow Agent to pay to the Placement Agent at the
Closing or an Additional Closing, from the funds deposited in the applicable
Escrow Account in payment for the Units, the cash amounts payable to the
Placement Agent pursuant to Section 4 of this Agreement.  Promptly after the
                            ---------
Closing Date or an Additional Closing Date, as the case may be, the Company
shall deliver to the purchasers of Shares certificates representing the Shares
and a warrant agreement representing the Warrants (the "Warrant Agreement") to
                                                        -----------------
which they are entitled.

          4.  Compensation.
              ------------

          (a) If subscriptions to purchase 2,666,666 Shares and accompanying
Warrants (including Insider Shares and Affiliate Shares) are received from
Prospective Investors prior to the expiration of the Offering Period and
accepted by the Company, you

                                      -4-
<PAGE>

shall be entitled to receive from the Company, as compensation for your services
as Placement Agent under this Agreement, an aggregate amount equal to 7.0% of
the gross proceeds received by the Company from the sales of the Shares and
accompanying Warrants (the "Commission"), provided that no commission will be
A                           ----------
due to the Placement Agent with respect to the sale of the Insider Shares or the
Compensatory Shares (as defined below). At the sole option of the Placement
Agent, some or all of the Commission may be paid by the issuance of additional
Shares of the Company's Common Stock and accompanying Warrants (the
"Compensatory Shares"), which Compensatory Shares will be valued at $2.25 per
 -------------------
share and accompanying Warrant; provided, that at least 50% of the Commission
due to the Placement Agent hereunder shall be paid by the issuance of such
Compensatory Shares as provided herein. The Compensatory Shares and the shares
of Common Stock issuable upon exercise of the accompanying Warrants will be
entitled to the same registration rights afforded the Shares as set forth in the
Subscription Agreement. All of the foregoing compensation is payable by the
Company on the Closing Date or Additional Closing Date, as the case may be, with
respect to the Units sold on such date.

          (b) If subscriptions to purchase 2,666,666 Shares and accompanying
Warrants (including Insider Shares and Affiliate Shares) are received from
Prospective Investors prior to the expiration of the Offering Period and
accepted by the Company, the Company shall sell to you or, at your discretion,
your designees, in addition to the amounts set forth in Section 4(a) above, and
                                                        ------------
you (or your designees) may buy warrants (individually, a "Placement Agent
                                                           ---------------
Warrant" and collectively, the "Placement Agent Warrants") to purchase that
-------                         ------------------------
number of shares of the Company's Common Stock and Warrants (the "Warrant
                                                                  -------
Shares") equal to 7% of the aggregate number of Shares and Warrants issued in
the Offering (including Compensatory Shares), provided that no Placement Agent
                                              --------
Warrants will be due the Placement Agent with respect to the sale of the Insider
Shares.  Each Warrant will entitle the holder thereof, for a five year period
from the later of the Closing Date or the last Additional Closing Date (if any),
to purchase one Warrant Share at an exercise price equal to $2.48 per Warrant
Share.  The Warrant Shares will be entitled to the same registration rights
afforded the Shares (and the shares of Common Stock issuable upon exercise of
the accompanying Warrants) as set forth in the Subscription Agreement.  The
Placement Agent Warrants shall be purchasable pursuant to share purchase
agreements (the "Share Purchase Warrants") in the form attached hereto as
                 -----------------------
Exhibit B.
----------

          (c) If the Offering is terminated by the Company (i) during the
Offering Period (provided you are actively pursuing the Offering during such
period), (ii) during any 30 day extension period (provided you are actively
pursuing the Offering during such period), or (iii) at the completion of the
Offering (provided that you shall have obtained offers to purchase at least the
required minimum), and the Placement Agent is not then in default hereunder or
has not breached the terms herein, and within six months after termination the
Company completes the sale of any of its equity securities (including securities
convertible into equity securities) for cash to any person or entity who was
introduced to the Company by the Placement Agent, in connection with the
Offering or otherwise, then in any such case, the Company shall pay to you 8.0%
                       ----
of the gross sales price of such securities, and shall sell to you, on the terms
set forth in this Section 4, Warrants to purchase 10% of the securities so sold.
                  ---------

          5.  Representations and Warranties.
              ------------------------------

                                      -5-
<PAGE>

          (a) Representations and Warranties of the Company.  The Company
              ---------------------------------------------
represents and warrants to, and agrees with, the Placement that:

          (i)  The Company has furnished, or made available through the EDGAR
Internet web site of the Commission, to the undersigned true and complete copies
of the SEC Filings.  As of their respective filing dates, the SEC Filings
complied in all material respects with the applicable requirements of the
Exchange Act, and the Act and the rules and regulations promulgated under the
Exchange Act and the Act.  The SEC Filings do not as of their respective dates
contain any untrue statement of a material fact or omit to state a material fact
required to be stated therein or necessary in order to make the statements made
therein, in the light of circumstances under which they were made, not
misleading.  Each contract, agreement, instrument, lease, license or other
document described in the SEC Filings has been accurately described therein in
all material respects.

          (ii)  No document provided by the Company to Prospective Investors
pursuant to Section 6(a)(vii) hereof, and no oral information provided by the
            -----------------
Company to Prospective Investors, contained any untrue statement of a material
fact or omitted to state any material fact required to be stated therein or
necessary to make the statements therein not misleading.  Contracts to which the
Company is a party provided by the Company to Prospective Investors shall not be
deemed to contain any untrue statement of a material fact or to omit to state
any material fact if the contract so provided is a true, correct and complete
copy of such contract, as amended or modified through the date it is so
provided.

          (iii)  The Company has not solicited any offer to buy or offered to
sell any Shares or any other securities of the Company during the twelve-month
period ending on the date hereof, except as may be described in the SEC Filings
or which would not be integrated with the sale of the Shares in a manner that
would require the registration of the Offering pursuant to the Act; and the
Company has no present intention to solicit any offer to buy or offer to sell
any Shares or any other securities of the Company other than pursuant to this
Agreement or pursuant to a registered public offering of the Company's
securities which may be commenced after the completion of the Offering.

          (iv)  The Company is a corporation duly organized, validly existing
and in good standing under the laws of the State of Delaware, with full power
and authority and all necessary consents, authorizations, approvals, orders,
licenses, certificates and permits of and from, and declarations and filings
with (collectively, "Consents") all federal, state, local, foreign and other
                     --------
governmental authorities and all courts and other tribunals, to own, lease,
license and use its properties and assets and to carry on its business in the
manner described in the Executive Summary, except where the failure to have
obtained such Consents would not have a material adverse effect on the Company
and except that the Company is not qualified in  Tennessee, Massachusetts,
Virginia and Ohio; and the Company has not received any notice of proceedings
relating to the revocation or modification of any such Consent which, singly or
in the aggregate, if the subject of an unfavorable decision, ruling or finding
would result in a material adverse change in the financial condition, results of
operations, business, properties, assets, liabilities or future prospects of the
Company.  The Company is duly qualified to do business and is in good standing
in every jurisdiction in which its ownership, leasing, licensing or use of
property and assets or the conduct of its business makes such qualification
necessary, except where such failure to qualify would not

                                      -6-
<PAGE>

have a material adverse effect upon the business of the Company. The Company
does not have any operating subsidiaries.

          (v)  The Company has, as of the date hereof and subject to the
exercise of any outstanding Common Stock purchase rights, an authorized and
outstanding capitalization as set forth in the Most Recent 10-Q.  Each
outstanding share of capital stock of the Company is duly authorized, validly
issued, fully paid and nonassessable and has not been issued and is not owned or
held in violation of any preemptive rights set forth in the Company's
Certificate of Incorporation or By-Laws, each as amended to date, or any
agreement to which the Company is a party.  The shares of Common Stock issuable
upon exercise of the Warrants and the Placement Agent Warrants have been
reserved for issuance upon the exercise of such warrants and when issued in
accordance with the terms thereof will be duly and validly authorized, validly
issued, fully paid and nonassessable and free of preemptive rights and no
personal liability will attach to the ownership thereof.  There is no
commitment, plan or arrangement to issue, and no outstanding option, warrant or
other right calling for the issuance of, any share of capital stock of the
Company or any security or other instrument which by its terms is convertible
into, exercisable for or exchangeable for shares of capital stock of the
Company, except as may be described in the SEC Filings and except as
contemplated hereby.  There is outstanding no security or other instrument which
by its terms is convertible into or exchangeable for any class of share of
capital stock of the Company, except as may be described in the SEC Filings and
except as contemplated hereby.  The capital stock of the Company conforms to the
description thereof contained in the SEC Filings.

          (vi)  The financial statements of the Company included in the SEC
Filings (by incorporation, by reference or otherwise) fairly present, in all
material respects, the financial position, the results of operations, cash flows
and the other information purported to be shown therein at the respective dates
and for the respective periods to which they apply.  Such financial statements
have been prepared in accordance with generally accepted accounting principles
consistently applied throughout the periods involved, are correct and complete,
in all material respects, and are in accordance with the books and records of
the Company.  Except as previously disclosed to the Placement Agent, there has
at no time been a material adverse change in the financial condition, results of
operations, business, properties, assets, liabilities or future prospects of the
Company from the latest information set forth in the SEC Filings, except as may
be described in the SEC Filings as having occurred.

          (vii)  Ernst & Young LLP, who have audited certain financial
statements of the Company and performed certain procedures relating to financial
statement schedules and other financial information concerning the Company,
included in the SEC Filings, are independent public accountants as required by
the Act and the applicable rules and regulations thereunder.

          (viii)  There is no litigation, arbitration, governmental or other
proceeding (formal or informal) or claim or investigation pending or, to the
knowledge of the Company, threatened with respect to the Company or any of its
operations, businesses, properties or assets, except as may be described in the
SEC Filings or such as individually or in the aggregate do not now have and will
not in the future have a material adverse effect

                                      -7-
<PAGE>

upon the operations, business, properties or assets of the Company. The Company
is not in violation of, or in default with respect to, any law, rule,
regulation, order, judgment or decree, except as may be described in the SEC
Filings or such as in the aggregate do not now have and will not in the future
have a material adverse effect upon the operations, business, properties, assets
or future prospects of the Company.

          (ix)  Except as described in the SEC Filings, any real property and
buildings held under lease by the Company are held by it under valid, subsisting
and enforceable leases with such exceptions as in the aggregate are not
material.  Except as described in the SEC Filings, the Company enjoys peaceful
and undisturbed possession under all real property leases under which it is
operating.

          (x)  Except as previously disclosed to the Placement Agent, neither
the Company, nor, to the knowledge of the Company, any other party, is in
violation or breach of or in default with respect to, complying with any
material provision of any contract, agreement, instrument, lease, license,
arrangement or understanding which is material to the Company, and each such
contract, agreement, instrument, lease, license, arrangement and understanding
is in full force and effect and is the legal, valid and binding obligation of
the parties thereto enforceable as to them in accordance with its terms (subject
to applicable bankruptcy, insolvency and other laws affecting the enforceability
of creditors' rights generally and to general equitable principles).  The
Company is not in violation or breach of, or in default with respect to, any
term of its Certificate of Incorporation or By-Laws, each as amended to date.

          (xi)  There is no right under any patent, patent application,
trademark, trademark application, trade name, service mark, copyright, franchise
or other intangible property or asset (all of the foregoing being herein called
"Intangibles") necessary to the business of the Company as presently conducted
 -----------
or as the SEC Filings or the Executive Summary indicates it contemplates
conducting, except as may be so designated in the SEC Filings or the Executive
Summary and which the Company has the right or license to use as necessary.  To
the Company's knowledge, except as described in the SEC Filings, the Company has
not infringed nor is it infringing with respect to Intangibles of others, and
the Company has not received notice of infringement with respect to asserted
Intangibles of others, which infringement may have a material adverse effect on
the Company's business.  Except as described in the SEC Filings, to the
Company's knowledge there is no Intangible of others which has had or may in the
future have a materially adverse effect on the financial condition, results of
operations, business, properties, assets, liabilities or future prospects of the
Company.

          (xii)  The Company has all requisite corporate power and authority to
execute, deliver and perform this Agreement, the Share Purchase Warrants, the
Subscription Agreement, the Warrant Agreements and the Escrow Agreement
(collectively, the "Operative Agreements") and to consummate the transactions
                    --------------------
contemplated by the Operative Agreements.  All necessary corporate proceedings
of the Company have been duly taken to authorize the execution, delivery and
performance by the Company of the Operative Agreements.  This Agreement and the
Escrow Agreement have been duly authorized, executed and delivered by the
Company, are the legal, valid and binding obligations of the Company and are
enforceable as to the Company in accordance with their

                                      -8-
<PAGE>

terms (subject to applicable bankruptcy, insolvency and other laws affecting the
enforceability of creditors' rights generally and to general equitable
principles). The Share Purchase Warrants , Subscription Agreements and Warrant
Agreements have been duly authorized by the Company and, when executed and
delivered by the Company, will be the legal, valid and binding obligations of
the Company enforceable against it in accordance with their respective terms
(subject to applicable bankruptcy, insolvency and other laws affecting the
enforceability of creditors' rights generally and to general equitable
principles). No consent, authorization, approval, order, license, certificate or
permit of or from, or registration, qualification, declaration or filing with,
any federal, state, local, foreign or other governmental authority or any court
or other tribunal is required by the Company for the execution, delivery or
performance by the Company of the Operative Agreements or the consummation of
the transactions contemplated by the Operative Agreements, except (A) the filing
of a Notice of Sales of Securities on Form D pursuant to Regulation D, (B) such
consents, authorizations, approvals, registrations and qualifications as may be
required under securities or "blue sky" laws in connection with the issuance,
sale and delivery of the Shares, Warrants, Compensatory Shares and Placement
Agent Warrants pursuant to this Agreement, and (C) the filing of the
Registration Statement. No consent of any party to any contract, agreement,
instrument, lease, license, arrangement or understanding to which the Company is
a party or to which any of its properties or assets are subject is required for
the execution, delivery or performance of the Operative Agreements or the
consummation of the transactions contemplated by the Operative Agreements, which
has not been or will not be obtained prior to the Closing or any Additional
Closings; and the execution, delivery and performance of the Operative
Agreements, and the consummation of the transactions contemplated by the
Operative Agreements, will not violate, result in a material breach of, conflict
with or (with or without the giving of notice or the passage of time or both)
entitle any party to terminate or call a default under any such contract,
agreement, instrument, lease, license, arrangement or understanding (except for
any such violation, breach or conflict which has been properly waived
thereunder), violate or result in a material breach of any term of the Company's
Certificate of Incorporation or By-Laws, each as amended to date, or violate,
result in a material breach of or conflict with any law, rule, regulation,
order, judgment or decree binding on the Company, or to which any of its
operations, businesses, properties or assets are subject.

          (xiii)  The Shares, when issued and delivered to the subscribers
therefor, pursuant to the terms of this Agreement and the Subscription
Agreements, the Warrant Shares, when issued and delivered pursuant to the terms
of the Warrants and Placement Agent Warrants, as the case may be, and the
Compensatory Shares shall be duly authorized, validly issued, fully paid and
nonassessable and shall not have been issued in violation of any preemptive
rights set forth in the Company's Certificate of Incorporation or By-Laws, each
as amended to date, or any agreement to which the Company is a party.

          (xiv)  Subsequent to the dates as of which information is given in the
SEC Filings, and except as may otherwise be described on Schedule 5(a)(xiv), (A)
                                                         ------------------
the Company has not, except in the ordinary course of business, incurred any
liability or obligation, primary or contingent, for borrowed money, (B) there
has not been any material adverse change in the capital stock, short-term debt
or long-term debt of the Company, (C) the Company has not entered into any
transaction not in the ordinary course of business, (D) the Company has not
purchased any of its outstanding capital stock nor declared or paid

                                      -9-
<PAGE>

any dividend or distribution of any kind on its capital stock, (E) the Company
has not sustained any material loss or interference with its businesses or
properties from fire, flood, hurricane, accident or other calamity, whether or
not covered by insurance, or from any labor dispute or any legal or governmental
proceeding, and (F) there has not been any material adverse change or any
development which the Company reasonably believes could result in a prospective
material adverse change, in the financial condition results of operations,
business, properties, assets, liabilities or future prospects of the Company.

          (xv)  Neither the Company nor, to the knowledge of the Company, any of
its affiliates has, directly or through any agent, sold, offered for sale or
solicited offers to buy, any security of the Company, as defined in the Act,
which is or will be integrated with the sale of the Shares, the Warrants or the
Warrant Shares in a manner that would require the registration, pursuant to the
Act, of the Offering.

          (xvi)  Except as described in or contemplated by the SEC Filings, the
Company has good and marketable title to all real and personal property owned by
it, in each case free and clear of any security interests, liens, encumbrances,
equities, claims and other defects, except such as do not materially and
adversely affect the value of such property and do not interfere with the use
made or proposed to be made of such property by the Company.

          (xvii)  No labor dispute with the employees of the Company exists or
is threatened or imminent that could result in a material adverse change in the
financial condition, results of operations, business, properties, assets,
liabilities or future prospects of the Company, except as described in or
contemplated by the SEC Filings.

          (xviii)  The Company is insured by insurers of recognized financial
responsibility against such losses and risks and in such amounts as are prudent
and customary in the businesses in which they are engaged; the Company has not
been refused any insurance coverage sought or applied for; and the Company has
no reason to believe that it will not be able to renew its existing insurance
coverage as and when such coverage expires or to obtain similar coverage from
insurers of recognized financial responsibility as may be necessary to continue
its business at a cost that would not materially and adversely affect the
financial condition results of operations, business, properties, assets,
liabilities or future prospects of the Company, except as described in or
contemplated by the SEC Filings.

          (xix)  The Company has filed all foreign, federal, state and local tax
returns that are required to be filed or has requested extensions thereof
(except in any case in which the failure so to file would not have a material
adverse effect on the Company), and has paid all taxes required to be paid by it
and any other assessment, fine or penalty levied against it to the extent that
any of the foregoing is due and payable, except for any such assessment, fine or
penalty that is currently being contested in good faith or as described in the
SEC Filings.

          (xx)  The Company is not in violation of any law or regulation
relating to occupational safety and health or to the storage, handling or
transportation of hazardous or toxic materials and the Company has received all
permits, licenses or other approvals

                                      -10-
<PAGE>

required of it under applicable occupational safety and health and environmental
laws and regulations to conduct its business, and the Company is in compliance
with all terms and conditions of any such permit, license or approval, except
any such violation of law or regulation, failure to receive required permits,
licenses or other approvals or failure to comply with the terms and conditions
of such permits, licenses or approvals which would not, singly or in the
aggregate, result in a material adverse change in the financial condition,
results of operations, business, properties, assets, liabilities or future
prospects of the Company, except as described in or contemplated by the SEC
Filings.

          (xxi)  The Company maintains a system of internal accounting controls
sufficient to provide reasonable assurance that (i) transactions are executed in
accordance with management's general or specific authorizations; (ii)
transactions are recorded as necessary to permit preparation of financial
statements in conformity with generally accepted accounting principles and to
maintain asset accountability; (iii) access to assets is permitted only in
accordance with management's general or specific authorization; and (iv) the
recorded accountability for assets is compared with the existing assets at
reasonable intervals and appropriate action is taken with respect to any
differences.

          (xxii)  The Common Stock is registered pursuant to Section 12(g) of
the Exchange Act.  The Company (a) has been subject to the requirements of
Section 12 or 15(d) of the Exchange Act and has filed all the material required
to be filed pursuant to Section 13, 14, or 15(d) for a period of at least 12
months immediately preceding the date hereof; and (b) has filed in a timely
manner all reports required to be filed during 12 months and any portion of a
month immediately preceding the date hereof and, if the Company has used (during
the 12 months and any portion of a month immediately preceding the date hereof)
Rule 12b-25(b) under the Exchange Act with respect to a report or a portion of a
report, that report or portion thereof has actually been filed within the time
period prescribed by the rule.

          (b) Representations and Warranties of the Placement Agent.  The
              -----------------------------------------------------
Placement Agent hereby represents and warrants to, and agrees with, the Company
and each other as to themselves only as follows:

              (i)  The Placement Agent will not offer or sell any Shares and
accompanying Warrants to any investor which the Placement Agent does not have
reasonable grounds to believe is an "accredited investor."

              (ii)  The Placement Agent will not offer or sell any Shares and
accompanying Warrants by means of any form of general solicitation or general
advertising, including, without limitation, the following:

                  (A) any advertisement, article, notice or other communication
published in any newspaper, magazine or similar medium or broadcast over
television or radio; and

                  (B) any seminar or meeting whose attendees have been invited
by any general solicitation or general advertising.

                                      -11-
<PAGE>

          (iii)  The Placement Agent is a member in good standing of the
National Association of Securities Dealers, Inc. or a registered representative
thereof.

          (iv) The Placement Agent will (A) offer and sell the Shares and
accompanying Warrants only in jurisdictions in which the Shares and accompanying
Warrants have been registered or are exempt from registration, and (B) not offer
or sell Shares and accompanying Warrants in any jurisdiction in which the
Placement Agent is not qualified to do so.

          (v) This Agreement has been duly authorized by all necessary action on
the part of the Placement Agent and constitutes the legal, valid and binding
obligations of the Placement Agent, enforceable against it in accordance with
the terms hereof (subject to applicable bankruptcy, insolvency and other laws
affecting the enforceability of creditors' rights generally and to general
equitable principles).  The execution, delivery and performance by the Placement
Agent of its obligations hereunder will not result in a violation or material
breach of any agreement to which the Placement Agent is a party or any law,
rule, regulation, order, judgment or decree binding on the Placement Agent.

          6.  Covenants.
              ---------

          (a) Covenants of the Company.  The Company covenants to the Placement
              ------------------------
Agent that it will:

              (i)  Notify you immediately, and confirm such notice promptly in
writing, (A) when any event shall have occurred during the period commencing on
the date hereof and ending on the later of the Closing Date and the last
Additional Closing Date (if any) as a result of which the SEC Filings or
Executive Summary would include any untrue statement of a material fact or omit
to state any material fact required to be stated therein or necessary to make
the statements therein not misleading, and (B) of the receipt of any
notification with respect to the modification, rescission, withdrawal or
suspension of the qualification or registration of the Shares or of an exemption
from such registration or qualification in any jurisdiction.  The Company will
use its best efforts to prevent the issuance of any such modification,
rescission, withdrawal or suspension and, if any such modification, rescission,
withdrawal or suspension is issued and you so request, to obtain the lifting
thereof as promptly as possible.

              (ii)  If, at any time during the period commencing on the date
hereof and ending on the later of the Closing Date and the last Additional
Closing Date (if any), any event shall have occurred as a result of which the
SEC Filings contains any untrue statement of a material fact or omits to state
any material fact required to be stated therein or necessary to make the
statements therein not misleading, or if, in the opinion of counsel to the
Company or counsel to the Placement Agent, it is necessary at any time to
supplement or amend the SEC Filings to comply with the Act, Regulation D or any
applicable securities or "blue sky" laws, the Company will promptly prepare an
appropriate supplement or amendment which will correct such statement or
omission or which will effect such compliance.

                                      -12-
<PAGE>

          (iii)  In this Offering, not, directly or indirectly, solicit any
offer to buy from, or offer to sell to, any person any Shares and accompanying
Warrants except through the Placement Agent.

          (iv)  Not solicit any offer to buy or offer to sell Shares and
accompanying Warrants by any form of general solicitation or advertising,
including, without limitation, any advertisement, article, notice or other
communication published in any newspaper, magazine or similar medium or
broadcast over television or radio or any seminar or meeting whose attendees
have been invited by any general solicitation or advertising.

          (vi)  Use its best efforts to qualify or register the Shares and
accompanying Warrants for offering and sale under, or establish an exemption
from such qualification or registration under, the securities or "blue sky" laws
of such jurisdictions as you may reasonably request.  The Company will not
consummate any sale of Shares and accompanying Warrants in any jurisdiction or
in any manner in which such sale may not be lawfully made.

          (vii)  At all times during the period commencing on the date hereof
and ending on the later of the Closing Date and the last Additional Closing Date
(if any), provide to each Prospective Investor or his purchaser representative,
if any, on request, such information concerning the Offering, the Company and
any other relevant matters as it possesses or can acquire without unreasonable
effort or expense and extend to each Prospective Investor the opportunity to ask
questions of, and receive answers from, the Company concerning the terms and
conditions of the Offering and the business of the Company and to obtain any
other additional information, to the extent it possesses the same or can acquire
it without unreasonable effort or expense, as such Prospective Investor may
consider necessary in making an informed investment decision or in order to
verify the accuracy of the information furnished to such Prospective Investor or
purchaser representative, as the case may be.

          (viii)  Before accepting any subscription to purchase Shares and
accompanying Warrants from, or making any sale to, any Prospective Investor,
have reasonable grounds to believe and actually believe that such Prospective
Investor (A) meets the suitability requirements for investing in the Shares and
accompanying Warrants set forth in the Subscription Agreement, and (B) is an
accredited investor; provided, however, that the Company shall not be required
                     --------  -------
to confirm the accuracy of any subscription and may rely upon the information
provided by each Prospective Investor in the relevant subscription.

          (ix)  Notify you promptly of the acceptance or rejection of any
subscription.

          (x)  File five (5) copies of a Notice of Sales of Securities on Form D
with the Securities and Exchange Commission (the "Commission") no later than 15
                                                  ----------
days after the first sale of the Shares and accompanying Warrants.  The Company
shall file promptly such amendments to such Notices on Form D as shall become
necessary and shall also comply with any filing requirement imposed by the laws
of any state or jurisdiction in which offers and sales are made.  The Company
shall furnish you with copies of all such filings.

                                      -13-
<PAGE>

          (xi)  Place the following legend on all certificates representing the
Shares, the Warrants, the Compensatory Shares and the Placement Agent Warrants:

               "THE SECURITIES REPRESENTED HEREBY HAVE NOT BEEN REGISTERED UNDER
          THE SECURITIES ACT OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE
          SECURITIES LAWS AND NEITHER THE SECURITIES NOR ANY INTEREST THEREIN
          MAY BE OFFERED, SOLD, TRANSFERRED, PLEDGED OR OTHERWISE DISPOSED OF
          EXCEPT PURSUANT TO AN EFFECTIVE REGISTRATION STATEMENT UNDER SUCH ACT
          OR SUCH LAWS OR AN EXEMPTION FROM REGISTRATION UNDER SUCH ACT AND SUCH
          LAWS WHICH, IN THE OPINION OF COUNSEL FOR THE HOLDER, WHICH COUNSEL
          AND OPINION ARE REASONABLY SATISFACTORY TO COUNSEL FOR THIS
          CORPORATION, IS AVAILABLE."

          (xii)  Not, directly or indirectly, engage in any act or activity
which may jeopardize the status of the offering and sale of the Shares and
accompanying Warrants as exempt transactions under the Act or under the
securities or "blue sky" laws of any jurisdiction in which the Offering may be
made.  Without limiting the generality of the foregoing, and notwithstanding
anything contained herein to the contrary, the Company shall not, during the six
(6) months following completion of the Offering, (A) directly or indirectly,
engage in any offering of securities which, if integrated with the Offering in
the manner prescribed by Rule 502(a) of Regulation D and applicable releases of
the Commission, may jeopardize the status of the Offering and sale of the Shares
and accompanying Warrants as exempt transactions under Regulation D, or (B)
engage in any offering of securities, without the opinion of counsel reasonably
satisfactory to the Placement Agent, to the effect that such offering would not
result in integration with this Offering, or if integration would so result,
that such integration would not jeopardize the status of this Offering as an
exempt transaction under Regulation D.

               (xiii)  [Intentionally omitted].

               (xiv)  Not, during the period commencing on the date hereof and
ending on the later of the Closing Date and the last Additional Closing Date (if
any), issue any press release or other communication or hold any press
conference with respect to the Offering, without your prior written consent,
which consent will not be unreasonably withheld.

               (xv)  Provided that at least 2,666,666 Shares and accompanying
Warrants are sold in the Offering, not, for a period of 12 months after the date
of the Final Closing, without your prior written consent, offer, issue, sell,
contract to sell, grant any option for the sale of or otherwise dispose of,
directly or indirectly, any shares of Common Stock (or any security or other
instrument which by its terms is convertible into, exercisable for, or
exchangeable for shares of Common Stock), without first obtaining the written
consent of the Placement Agent.  Notwithstanding the foregoing, the Company may
sell,

                                      -14-
<PAGE>

transfer or dispose of securities in accordance with the terms of the Company's
stock option plan and other similar plans disclosed in the SEC Filings, provided
that, with respect to options granted to the persons described in Section 8(b)
                                                                  ---------
below, the underlying shares are subject to a similar lock-up arrangement as set
forth in Section 8(b) below.
         ---------

        (xvi)  For a period of five years after the date hereof, furnish you,
without charge, the following:

          (A) as soon as practicable after they are filed with the Commission,
three (3) copies of financial statements certified by independent certified
public accountants, including a balance sheet, statement of income and statement
of cash flows of the Company and its then existing subsidiaries, with supporting
schedules, prepared in accordance with generally accepted accounting principles,
as at the end of such fiscal year and for the 12 months then ended, which may be
on a consolidated basis, and three (3) copies of unaudited interim financial
statements, as at the end of each fiscal quarter and for the three (3) months
then ended, copies of all of which financial statements shall also be furnished
to the purchasers in this Offering;

          (B) as soon as practicable after they have been sent to stockholders
of the Company or filed with the Commission, three (3) copies of each annual and
interim financial and other report or communication sent by the Company to its
stockholders or filed with the Commission; and

          (C) as soon as practicable, two copies of every press release and
every material news item and article in respect of the Company or its affairs
which was released by the Company.

        (xvii)  Comply in all respects with its obligations under the Operative
Agreements.

        (xviii)  Not, prior to the completion of the Offering, bid for,
purchase, attempt to induce others to purchase, or sell, directly or indirectly,
any Shares or any other securities of the Company of the same class and series
as the Shares in violation of the provisions of Regulation M under the Exchange
Act.

          (b) Covenants of the Placement Agent.
              --------------------------------

              (i)  The Placement Agent will not accept the subscription of any
person unless immediately before accepting such subscription the Placement Agent
has reasonable grounds to believe that (A) such person is an "accredited
investor," and (B) all representations made and information furnished by such
person in the Subscription Agreement and related documents are true and correct
in all material respects.  The Placement Agent agrees to notify the Company
promptly if the Placement Agent shall, at any time during the period after
delivery of the documents furnished by such person to the Company in connection
with subscription for Shares and accompanying Warrants and immediately before
the sale of Shares and accompanying Warrants to such person, no longer
reasonably believes one or more of the foregoing matters with respect to such
person.

                                      -15-
<PAGE>

          (ii)  The Placement Agent will not solicit purchasers of Shares and
accompanying Warrants other than in the jurisdictions in which such solicitation
may, upon the advice of counsel, be made under applicable securities or "blue
sky" laws and in which the Placement Agent is qualified so to act.

          (iii)  The Placement Agent will not sell any Shares and accompanying
Warrants to any investor unless a Subscription Agreement is furnished to such
investor within a reasonable time prior thereto.

          (iv)  Upon notice from the Company that the SEC Filings is to be
amended or supplemented (which the Company will promptly give upon becoming
aware of any untrue statement of a material fact stated in the SEC Filings or
omission to state a material fact necessary in order to make the statements
therein, in light of the circumstances under which they were made, not
misleading), the Placement Agent will immediately cease use of the SEC Filings
until the Placement Agent has received such amendment or supplement and the
Placement Agent will deliver a copy of such amendment or supplement to each
Prospective Investor to whom a copy of the SEC Filings had previously been
delivered (and who had not returned such copy) and whose subscription had not
been rejected.

          (v) The Placement Agent will not make any representations or other
statements concerning the Company or the Offering that are not contained in the
SEC Filings.

          (vi) The Placement Agent will not offer or sell any Shares and
accompanying Warrants by means of any form of general solicitation or general
advertising, including, without limitation, (A) any advertisement, article,
notice or other communication published in any newspaper, magazine or similar
medium, or broadcast over television or radio; or (B) any seminar or meeting
whose attendees have been invited by general solicitation or general
advertising.

          7.  Payment of Expenses.
              -------------------

          The Company hereby agrees to pay all fees, charges and expenses
incident to the performance by each of the Company and the Placement Agent of
its respective obligations hereunder (other than the fees and expenses of
counsel to the Placement Agent), including, without limitation, all fees,
charges, and expenses in connection with (i) the preparation, printing,
reproduction, filing, distribution and mailing of the Subscription Agreements,
Warrant Agreements and related documents (including, to the extent requested by
a Prospective Investor, copies of the SEC Filings), the Operative Agreements and
all other documents relating to the offering, purchase, sale and delivery of the
Shares and accompanying Warrants, and any supplements or amendments thereto,
including the fees and expenses of counsel to the Company, and the cost of all
copies thereof, (ii) the issuance, sale, transfer and delivery of the Shares and
accompanying Warrants, the Warrant Shares, the Compensatory Shares and the
Placement Agent Warrants, including any transfer or other taxes payable thereon
and the fees of any Transfer Agent, Warrant Agent or Registrar, (iii) the
registration or qualification of the Shares or the securing of an exemption
therefrom under state or foreign "blue sky" or securities laws, including,
without limitation, filing fees

                                      -16-
<PAGE>

payable in the jurisdictions in which such registration or qualification or
exemption therefrom is sought, the costs of preparing preliminary, supplemental
and final "Blue Sky Surveys" relating to the offer and sale of the Shares and
the fees and disbursements of counsel to the Placement Agent in connection with
such "blue sky" matters, (iv) the filing fees, if any, payable to the
Commission, and (v) the retention of the Escrow Agent, including the fees and
expenses of the Escrow Agent for serving as such and the fees and expenses of
its counsel; provided, however, that the Company shall reimburse the Placement
Agent for its expenses hereunder up to a maximum of $30,000.

          8.  Conditions of Placement Agent's Obligations.  The obligations of
              -------------------------------------------
the Placement Agent pursuant to this Agreement shall be subject, in its
discretion, to the continuing accuracy of the representations and warranties of
the Company contained herein and in each certificate and document contemplated
under this Agreement to be delivered to the Placement Agent, as of the date
hereof and as of the Closing Date (and, if applicable, each Additional Closing
Date), to the performance by the Company of its obligations hereunder, and to
the following conditions:

          (a) At the Closing and each Additional Closing, as the case may be,
the Placement Agent shall have received the favorable opinions of counsel for
the Company, in substantially the form of Exhibit C hereto.
                                          ---------

          (b) On or prior to the Closing Date and each Additional Closing Date,
as the case may be, the Placement Agent shall have been furnished such
information, documents and certificates as it may reasonably require for the
purpose of enabling it to review the matters referred to in this Section 8 and
                                                                 ---------
in order to evidence the accuracy, completeness or satisfaction of any of the
representations, warranties, covenants, agreements or conditions herein
contained, or as it may otherwise reasonably request.

          (c) At the Closing and each Additional Closing, as the case may be,
the Placement Agent shall have received a certificate of the chief executive
officer of the Company, dated the Closing Date or such Additional Closing Date,
as the case may be, to the effect that, as of the date of this Agreement and as
of the Closing Date or such Additional Closing Date, as the case may be, the
representations and warranties of the Company contained herein were and are
accurate, and that as of the Closing Date or such Additional Closing Date, as
the case may be, the obligations to be performed by the Company hereunder on or
prior thereto have been fully performed.

          (d) All proceedings taken in connection with the issuance, sale and
delivery of the Shares shall be reasonably satisfactory in form and substance to
you and your counsel.

          (e) There shall not have occurred, at any time prior to the Closing
or, if applicable, an Additional Closing, as the case may be, (i) any domestic
or international event, act or occurrence which has materially disrupted, or in
your reasonable opinion will in the immediate future materially disrupt, the
securities markets; (ii) a general suspension of, or a general limitation on
prices for, trading in securities on the New York Stock Exchange or the American
Stock Exchange or in the over-the-counter market; (iii) any outbreak of major
hostilities or other national or international calamity affecting securities
markets in the

                                      -17-
<PAGE>

United States; (iv) any banking moratorium declared by a state or federal
authority; (v) any moratorium declared in foreign exchange trading by major
international banks or other persons; (vi) any material interruption in the mail
service or other means of communication within the United States; (vii) any
material adverse change in the business, properties, assets, results of
operations or financial condition of the Company; or (viii) any change in the
market for securities in general or in political, financial or economic
conditions which, in your reasonable business judgment, makes it inadvisable to
proceed with the offering, sale and delivery of the Shares.

          Any certificate or other document signed by any officer of the Company
and delivered to you or to your counsel as required hereunder shall be deemed a
representation and warranty by the Company hereunder as to the statements made
therein.  If any condition to your obligations hereunder has not been fulfilled
as and when required to be so fulfilled, you may terminate this Agreement or, if
you so elect, in writing waive any such conditions which have not been fulfilled
or extend the time for their fulfillment.  In the event that you elect to
terminate this Agreement, you shall notify the Company of such election in
writing. Upon such termination, neither party shall have any further liability
or obligation to the other except as provided in Section 10 hereof.
                                                 ----------

          9.  Indemnification and Contribution.
              --------------------------------

          (a) The Company agrees to indemnify and hold harmless the Placement
Agent, its respective officers, directors, stockholders, employees, agents,
advisors, consultants and counsel, and each person, if any, who controls the
Placement Agent within the meaning of Section 15 of the Act or Section 20(a) of
the Exchange Act, against any and all loss, liability, claim, damage and expense
(which shall include, for all purposes of this Section 9, without limitation,
                                               ---------
reasonable attorneys' fees and any and all expenses incurred in investigating,
preparing or defending against any litigation, commenced or threatened, or any
claim and any and all amounts paid in settlement of any claim or litigation) as
and when incurred arising out of, based upon or in connection with (i) any
untrue statement or alleged untrue statement of a material fact contained in (A)
the SEC Filings, the Executive Summary or in any document delivered or statement
made pursuant to Section 6(a)(vii), (B) the Registration Statement or any
                 -----------------
amendment or supplement thereto, or (C) in any application or other document or
communication (in this Section 9 collectively called an "application") executed
                       ---------                         -----------
by or on behalf of the Company or based upon written information furnished by or
on behalf of the Company filed in any jurisdiction in order to register or
qualify the Shares or the Compensatory Shares under the "blue sky" or securities
laws thereof or in order to secure an exemption from such registration or
qualification or filed with the Commission, or any omission or alleged omission
to state a material fact required to be stated in the items listed in clauses
(A), (B) or (C) or necessary to make the statements therein, in light of the
circumstances in which made, not misleading (unless such statement or omission
was made in reliance upon and in conformity with written information furnished
to the Company by or on behalf of the Placement Agent with respect to the
Compensatory Shares); or (ii) any breach of any representation, warranty,
covenant or agreement of the Company contained in the Operative Agreements.  The
foregoing agreement to indemnify shall be in addition to any liability the
Company may otherwise have, including liabilities arising under this Agreement.

                                      -18-
<PAGE>

          If any action is brought against the Placement Agent or any of its
officers, directors, stockholders, employees, agents, advisors, consultants and
counsel, or any controlling persons of the Placement Agent (an "indemnified
                                                                -----------
party"), in respect of which indemnity may be sought against the Company
-----
pursuant to the foregoing paragraph, such indemnified party or parties shall
promptly notify the Company (the "indemnifying party") in writing of the
                                  ------------------
institution of such action (but the failure so to notify shall not relieve the
indemnifying party from any liability it may have other than pursuant to this

Section 9(a) unless such failure materially prejudices the indemnifying party),
------------
and the indemnifying party shall promptly assume the defense of such action,
including the employment of counsel (reasonably satisfactory to such indemnified
party or parties) and payment of expenses.  Such indemnified party shall have
the right to employ its own counsel in any such case, but the fees and expenses
of such counsel shall be at the expense of such indemnified party unless the
employment of such counsel shall have been authorized in writing by the
indemnifying party in connection with the defense of such action or the
indemnifying party shall not have promptly employed counsel reasonably
satisfactory to such indemnified party or parties to have charge of the defense
of such action or such indemnified party or parties shall have reasonably
concluded that there may be one or more legal defenses available to it or them
or to other indemnified parties which are different from or additional to those
available to one or more of the indemnifying parties and it would be
inappropriate for the same counsel to represent both parties due to actual or
potential differing interests between them, in any of which events such
reasonable fees and expenses shall be borne by the indemnifying party and the
indemnifying party shall not have the right to direct the defense of such action
on behalf of the indemnified party or parties.  Anything in this paragraph to
the contrary notwithstanding, the indemnifying party shall not be liable for any
settlement of any such claim or action effected without its written consent.
The Company agrees promptly to notify the Placement Agent of the commencement of
any litigation or proceedings against the Company or any of its officers or
directors in connection with the sale of the Shares, the Executive Summary or
any application.

          (b) The Placement Agent agrees to indemnify and hold harmless the
Company, its officers, directors, employees, agents and counsel, and each other
person, if any, who controls the Company within the meaning of Section 15 of the
Act or Section 20(a) of the Exchange Act, to the same extent as the foregoing
indemnity from the Company to the Placement Agent in Section 9(a), with respect
                                                     ------------
to (i) any untrue statement or alleged untrue statement of a material fact, or
any omission or alleged omission to state a material fact required to be stated
or necessary to make the statements, in light of the circumstances in which they
were made, not misleading, but only with respect to statements or omissions in
the Registration Statement or any amendment or supplement thereto in reliance
upon and in conformity with written information furnished to the Company by or
on behalf of the Placement Agent with respect to the Compensatory Shares; or
(ii) any breach of any representation, warranty, covenant or agreement of the
Placement Agency in the Operative Agreements.  If any action shall be brought
against the Company or any other person so indemnified in respect of which
indemnity may be sought against the Placement Agent pursuant to this Section
                                                                     -------
9(b), the Placement Agent shall have the rights and duties given to the
----
indemnifying party, and the Company and each other person so indemnified shall
have the rights and duties given to the indemnified parties, by the provisions
of Section 9(a).  The foregoing agreement to indemnify shall be in addition to
   ------------
any liability the Placement Agent may otherwise have, including liabilities
arising under this Agreement.

                                      -19-
<PAGE>

          (c) To provide for just and equitable contribution, if (i) an
indemnified party makes a claim for indemnification pursuant to Section 9(a) or
                                                                ------------
9(b) but it is found in a final judicial determination, not subject to further
----
appeal, that such indemnification may not be enforced in such case, even though
this Agreement expressly provides for indemnification in such case, or (ii) any
indemnified or indemnifying party seeks contribution under the Act, the Exchange
Act, or otherwise, then the Company (including for this purpose any contribution
made by or on behalf of any officer, director, employee, agent or counsel of the
Company or any controlling person of the Company), on the one hand, and the
Placement Agent (including for this purpose any contribution by or on behalf of
an indemnified party), on the other hand, shall contribute to the losses,
liabilities, claims, damages and expenses whatsoever to which any of them may be
subject, in such proportions as are appropriate to reflect the relative benefits
received by the Company, on the one hand, and the Placement Agent, on the other
hand; provided, however, that if applicable law does not permit such allocation,
then other relevant equitable considerations such as the relative fault of the
Company and the Placement Agent in connection with the facts which resulted in
such losses, liabilities, claims, damages and expenses shall also be considered.
The relative benefits received by the Company, on the one hand, and the
Placement Agent, on the other hand, shall be deemed to be in the same proportion
as (x) the total proceeds from the Offering (net of compensation payable to the
Placement Agent pursuant to Section 4 hereof but before deducting expenses)
                            ---------
received by the Company, bears to (y) the compensation received by the Placement
Agent pursuant to Section 4 hereof.
                  ---------

          The relative fault, in the case of an untrue statement, alleged untrue
statement, omission or alleged omission, shall be determined by, among other
things, whether such statement, alleged statement, omission or alleged omission
relates to information supplied by the Company or by the Placement Agent and the
parties' relative intent, knowledge, access to information and opportunity to
correct or prevent such statement, alleged statement, omission or alleged
omission.  The Company and the Placement Agent agree that it would be unjust and
inequitable if the respective obligations of the Company and the Placement Agent
for contribution were determined by pro rata or per capita allocation of the
aggregate losses, liabilities, claims, damages and expenses or by any other
method of allocation that does not reflect the equitable considerations referred
to in this Section 9(c).  In no case shall the Placement Agent be responsible
           ------------
for a portion of the contribution obligation in excess of the compensation
received by it pursuant to Section 4 hereof less the aggregate amount of any
                           ---------
damages that the Placement Agent has otherwise been required to pay in respect
of the same or any substantially similar claim.  No person guilty of a
fraudulent misrepresentation (within the meaning of Section 11(f) of the Act)
shall be entitled to contribution from any person who is not guilty of such
fraudulent misrepresentation.  For purposes of this Section 9(c), each person,
                                                    ------------
if any, who controls the Placement Agent within the meaning of Section 15 of the
Act or Section 20(a) of the Exchange Act and each officer, director,
stockholder, employee, agent and counsel of the Placement Agent shall have the
same rights to contribution as the Placement Agent, and each person, if any, who
controls the Company within the meaning of Section 15 of the Act or Section
20(a) of the Exchange Act and each officer, director, employee, agent and
counsel of the Company shall have the same rights to contribution as the
Company, subject in each case to the provisions of this Section 9(c). Anything
                                                        ------------
in this Section 9(c) to the contrary notwithstanding, no party shall be liable
        ------------
for contribution with respect to the settlement of any claim or action effected
without its

                                      -20-
<PAGE>

written consent. This Section 9(c) is intended to supersede any right to
                      ------------
contribution under the Act, the Exchange Act or otherwise.

          10.  Representations and Agreements to Survive Delivery.  All
               --------------------------------------------------
representations, warranties, covenants and agreements contained in this
Agreement shall be deemed to be representations, warranties, covenants and
agreements at the Closing Date and, if applicable, each Additional Closing Date,
and such representations, warranties, covenants and agreements, including the
indemnity and contribution agreements contained in Section 9, shall remain
                                                   ---------
operative and in full force and effect regardless of any investigation made by
or on behalf of the Placement Agent or any indemnified person, or by or on
behalf of the Company or any person or entity which is entitled to be
indemnified under Section 9(b), and shall survive termination of this Agreement
                  ------------
or the issuance, sale and delivery of the Shares. In addition, notwithstanding
any election hereunder or any termination of this Agreement, and whether or not
the terms of this Agreement are otherwise carried out, the provisions of

Sections 6(a)(x), 6(a)(xvii), 7, 9, 10 and 12 shall survive termination of this
----------------  ----------  -  -  --     --
Agreement and shall not be affected in any way by such election or termination
or failure to carry out the terms of this Agreement or any part thereof.

          11.  Notices.  All communications hereunder, except as may be
               -------
otherwise specifically provided herein, shall be in writing and, if sent to the
Placement Agent, shall be mailed, delivered or telexed or telegraphed and
confirmed by letter, to the address set forth above, or if sent to the Company,
shall be mailed, delivered or telexed or telegraphed and confirmed by letter, to
Cardima, Inc., 47266 Benicia Street, Fremont, California 94538, Attention:
President.  All notices hereunder shall be effective upon receipt by the party
to which it is addressed.

          12.  Assignment.  This Agreement shall not be assigned by any party
               ----------
hereto without the prior written consent of the other parties hereto.

          13.  Parties.  This Agreement shall inure solely to the benefit of,
               -------
and shall be binding upon, the Placement Agent and the Company and the persons
and entities referred to in Section 9 who are entitled to indemnification or
                            ---------
contribution and their respective successors, legal representatives and assigns
(which shall not include any purchaser, as such, of Shares), and no other person
shall have or be construed to have any legal or equitable right, remedy or claim
under or in respect of or by virtue of this Agreement or any provision herein
contained.

          14.  Construction.  This Agreement shall be construed in accordance
               ------------
with the laws of the State of New York, without giving effect to conflict of
laws.

                           [INTENTIONALLY LEFT BLANK]

                                      -21-
<PAGE>

          15.  Counterparts.  This Agreement may be executed in counterparts,
               ------------
each of which shall constitute an original and all of which, when taken
together, shall constitute one agreement.

          If the foregoing correctly sets forth the understanding between us,
please so indicate in the space provided below for that purpose, whereupon this
letter shall constitute a binding agreement among us.

                              Very truly yours,

                              CARDIMA, INC.

                              By:_______________________________________________
                              Name:
                              Title:

Accepted as of the date first above written.
New York, New York

SUNRISE SECURITIES CORP.

By:_______________________________________
Name:
Title:

                                      -22-
<PAGE>

                                   EXHIBIT A
                                   ---------

                   Subscription Agreement; Warrant Agreement

                                      -23-
<PAGE>

                                   EXHIBIT B
                                   ---------

                     Placement Agent Share Purchase Warrant

                                      -24-
<PAGE>

                                   EXHIBIT C
                                   ---------

                       Opinion of Counsel to the Company

                                      -25-
<PAGE>

                               SCHEDULE 5(a)(xiv)
                              -------------------

                                      None

                                      -26-

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