Document:

<PAGE>
                                                                    EXHIBIT 4.13

THIS WARRANT AND THE SHARES ISSUABLE HEREUNDER HAVE NOT BEEN REGISTERED UNDER
THE SECURITIES ACT OF 1933, AS AMENDED OR ANY APPLICABLE STATE SECURITIES LAW,
AND MAY NOT BE SOLD, PLEDGED, OR OTHERWISE TRANSFERRED WITHOUT AN EFFECTIVE
REGISTRATION THEREOF UNDER SUCH ACT OR PURSUANT TO RULE 144 AND REGISTRATION
UNDER OR AN EXEMPTION FROM APPLICABLE STATE SECURITIES LAW OR AN OPINION OF
COUNSEL REASONABLY SATISFACTORY TO THE CORPORATION AND ITS COUNSEL THAT SUCH
REGISTRATION IS NOT REQUIRED.

THE SECURITIES REPRESENTED BY THIS WARRANT ARE SUBJECT TO CERTAIN RESTRICTIONS
ON TRANSFER AND VOTING AGREEMENTS CONTAINED IN THE AMENDED AND RESTATED
STOCKHOLDERS' AGREEMENT DATED AS OF NOVEMBER 21, 2001, A COPY OF WHICH IS ON
FILE AT THE PRINCIPAL OFFICE OF THE COMPANY.

                       WARRANT TO PURCHASE PREFERRED STOCK

Corporation: Stereotaxis, Inc., a Delaware corporation
Number of Shares: 36,868
Class of Stock: Series D-1 Preferred
Initial Exercise Price: $2.17 per share
Issue Date: March 19, 2002
Expiration Date: March 19, 2007

         THIS WARRANT CERTIFIES THAT, for the agreed upon value of $1.00 and for
other good and valuable consideration, SILICON VALLEY BANK ("Holder") is
entitled to purchase the number of fully paid and nonassessable shares of the
class of securities (the "Shares") of the corporation (the "Company") at the
initial exercise price per Share (the "Warrant Price") all as set forth above
and as adjusted pursuant to Article 2 of this Warrant, subject to the provisions
and upon the terms and conditions set forth in this Warrant.

ARTICLE 1. EXERCISE.

         1.1      Method of Exercise. Holder may exercise this Warrant by
delivering a duly executed Notice of Exercise in substantially the form attached
as Appendix 1 to the principal office of the Company. Unless Holder is
exercising the conversion right set forth in Section 1.2, Holder shall also
deliver to the Company a cashier's check for the aggregate Warrant Price for the
Shares being purchased.

         1.2      Conversion Right In lieu of exercising this Warrant as
specified in Section 1.1, Holder may from time to time convert this Warrant, in
whole or in part, into a number of Shares determined by dividing (a) the
aggregate fair market value of the Shares or other securities otherwise issuable
upon exercise of this Warrant minus the aggregate Warrant Price of such Shares
by (b) the fair market value of one Share. The fair market value of the Shares
shall be determined pursuant to Section 1.3.

         1.3      Fair Market Value. If the Shares are traded in a public
market, the fair market value of the Shares shall be the closing price of the
Shares (or the closing price of the Company's stock into which the Shares are
convertible) reported for the business day immediately before Holder delivers
its Notice of Exercise to the Company. If the Shares are not traded in a public
market, the Board of Directors of the Company shall determine fair market value
in its reasonable good faith judgment.

<PAGE>

         1.4      Delivery of Certificate and New Warrant. Promptly after Holder
exercises or converts this Warrant, the Company shall deliver to Holder
certificates for the Shares acquired and, if this Warrant has not been fully
exercised or converted and has not expired, a new Warrant representing the
Shares not so acquired.

         1.5      Replacement of Warrants. On receipt of evidence reasonably
satisfactory to the Company of the loss, theft, destruction or mutilation of
this Warrant and, in the case of toss, theft or destruction, on delivery of an
indemnity agreement reasonably satisfactory in form and amount to the Company
or, in the case of mutilation, or surrender and cancellation of this Warrant,
the Company shall execute and deliver, in lieu of this Warrant, a new warrant of
like tenor.

         1.6      Assumption on Sale, Merger, or Consolidation of the Company.

                  1.6.1    "Acquisition". For the purpose of this Warrant,
"Acquisition" means any sale, license, or other disposition of all or
substantially all of the assets of the Company, or any reorganization,
consolidation, or merger of the Company where the holders of the Company's
securities before the transaction beneficially own less than 50% of the
outstanding voting securities of the surviving entity after the transaction.

                  1.6.2    Assumption of Warrant. Upon the closing of any
Acquisition, the successor entity shall assume the obligations of this Warrant,
and this Warrant shall be exercisable for the same securities, cash, and
property as would be payable for the Shares issuable upon exercise of the
unexercised portion of this Warrant as if such Shares were outstanding on the
record date for the Acquisition and subsequent closing. The Initial Exercise
Price and/or number of Shares shall be adjusted accordingly.

ARTICLE 2. ADJUSTMENTS TO THE SHARES.

         2.1      Stock Dividends, Splits, Etc. If the Company declares or pays
a dividend on its common stock (or the Shares if the Shares are securities other
than common stock) payable in common stock, or other securities, subdivides the
outstanding common stock into a greater amount of common stock, or, if the
Shares are securities other than common stock, subdivides the Shares in a
transaction that increases the amount of common stock into which the Shares are
convertible, then upon exercise of this Warrant, for each Share acquired, Holder
shall receive, without cost to Holder, the total number and kind of securities
to which Holder would have been entitled had Holder owned the Shares of record
as of the date the dividend or subdivision occurred. If the outstanding shares
are combined or consolidated, by reclassification or otherwise, into a lesser
number of shares, the Initial Exercise Price shall be proportionately increased.

         2.2      Reclassification, Exchange, Combinations or Substitution. Upon
any reclassification, exchange, substitution, or other event that results in a
change of the number and/or class of the securities issuable upon exercise or
conversion of this Warrant, Holder shall be entitled to receive, upon exercise
or conversion of this Warrant, the number and kind of securities and property
that Holder would have received for the Shares if this Warrant had been
exercised immediately before such reclassification, exchange, substitution, or
other event. Such an event shall include any automatic conversion of the
outstanding or issuable securities of the Company of the same class or series as
the Shares to common stock pursuant to the terms of the Company's Certificate of
Incorporation upon the closing of a registered public offering of the Company's
common stock. The Company or its successor shall promptly issue to Holder a new
Warrant for such new securities or other property. The new Warrant shall provide
for adjustments which shall be as nearly equivalent as may be practicable to the
adjustments provided for in this Article 2 including, without limitation,
adjustments to the Initial Exercise Price and to the number of securities or
property issuable upon exercise of the new Warrant. The provisions of this
Section 2.2 shall similarly apply to successive reclassifications, exchanges,
substitutions, or other events.

                                       2
<PAGE>

         2.3      No Impairment. The Company shall not, by amendment of its
Certificate of Incorporation or through a reorganization, transfer of assets,
consolidation, merger, dissolution, issue, or sale of securities or any other
voluntary action, avoid or seek to avoid the observance or performance of any of
the terms to be observed or performed under this Warrant by the Company, but
shall at all times in good faith assist in carrying out of all the provisions of
this Article 2 and in taking all such action as may be necessary or appropriate
to protect Holder's rights under this Article against impairment.

         2.4      Fractional Shares. No fractional Shares shall be issuable upon
exercise or conversion of the Warrant and the number of Shares to be issued
shall be rounded down to the nearest whole Share. If a fractional share interest
arises upon any exercise or conversion of the Warrant, the Company shall
eliminate such fractional share interest by paying Holder the amount computed
by multiplying the fractional interest by the fair market value of a full Share.

         2.5      Certificate as to Adjustments. Upon each adjustment of the
Warrant Price, the Company shall promptly notify Holder in writing, and, at the
Company's expense, promptly compute such adjustment, and furnish Holder with a
certificate of its Chief Financial Officer setting forth such adjustment and the
facts upon which such adjustment is based. The Company shall, upon written
request, furnish Holder a certificate setting forth the Warrant Price in effect
upon the date thereof and the series of adjustments leading to such Warrant
Price.

ARTICLE 3. REPRESENTATIONS AND COVENANTS OF THE COMPANY.

         3.1      Representations and Warranties. The Company represents and
warrants to the Holder as follows:

                  (a)      The initial Warrant Price referenced on the first
page of this Warrant is not greater than (i) the price per share at which the
Shares were last issued in an arms-length transaction in which at least $500,000
of the Shares were sold and (ii) the fair market value of the Shares (or such
preferred stock) as of the date of this Warrant.

                  (b)      All Shares which may be issued upon the exercise of
the purchase right represented by this Warrant, and all securities, if any,
issuable upon conversion of the Shares, shall, upon issuance against full
payment of the Warrant Price therefor, be duly authorized, validly issued, fully
paid and nonassessable, and free of any liens and encumbrances except for
restrictions on transfer provided for herein, placed thereon by Holder or
arising under applicable federal and state securities laws.

                  (c)      The Capitalization Table previously provided to
Holder remains substantially true and complete as of the Issue Date.

         3.2      Notice of Certain Events. If the Company proposes at any time
(a) to declare any dividend or distribution upon its common stock, whether in
cash, property, stock, or other securities and whether or not a regular cash
dividend; (b) to offer for subscription pro rata to the holders of any class or
series of its stock any additional shares of stock of any class or series or
other rights; (c) to effect any reclassification or recapitalization of common
stock; (d) to merge or consolidate with or into any other corporation, or sell,
lease, license, or convey all or substantially all of its assets, or to
liquidate, dissolve or wind up; or (e) offer holders of registration rights the
opportunity to participate in an underwritten public offering of the company's
securities for cash, then, in connection with each such event, the Company shall
give Holder (1) at least 10 days prior written notice of the date on which a
record will be taken for such dividend, distribution, or subscription rights
(and specifying the date on which the holders of common stock will be entitled
thereto) or for determining rights to vote, if any, in respect of the matters
referred to in (c) and (d) above; (2) in the case of the matters referred to in
(c) and (d) above at least 10 days prior written notice of the date when the
same will take place (and specifying the date on which the holders of common
stock will be entitled to exchange their common stock for securities or other
property deliverable upon the occurrence of such event); and (3) in the case of
the matter referred to in (e) above, the same notice as is given to the holders
of such registration rights.

                                       3
<PAGE>

         3.3      Registration Under Securities Act of 1933. as amended. The
Company agrees that the Shares or, if the Shares are convertible into common
stock of the Company, such common stock, shall be subject to the so-called "S-3"
registration rights set forth in Section 4 1.9 of the Company's Third Amended
and Restated Investor Rights Agreement dated November 21, 2001 (the
"Registration Rights Agreement"), so long as the Company shall be eligible to
utilize Form S-3 under the 1933 Act. The provisions set forth in the
Registration Rights Agreement relating to the above in effect as of the Issue
Date may not be amended, modified or waived without the prior written consent of
Holder unless such amendment, modification or waiver affects Holder in the same
manner as they affect all other shareholders with S-3 registration rights of the
same type granted to the Holder.

ARTICLE 4. REPRESENTATIONS, WARRANTIES OF THE HOLDER. The Holder represents and
warrants to the Company as follows:

         4.1      Purchase for Own Account. Except for transfers to Holder's
affiliates, this Warrant and the securities, to be acquired upon exercise of
this Warrant by the Holder will be acquired for investment for the Holder's
account, not as a nominee or agent, and not with a view to the public resale or
distribution within the meaning of the 1933 Act, and the Holder has no present
intention of selling, granting any participation in, or otherwise distributing
the same. If not an individual, the Holder also represents that the Holder has
not been formed for the specific purpose of acquiring this Warrant or the
Shares.

         4.2      Disclosure of Information. The Holder has received or has had
full access to all the information it considers necessary or appropriate to make
an informed investment decision with respect to the acquisition of this Warrant
and its underlying securities. The Holder further has had an opportunity to ask
questions and receive answers from the Company regarding the terms and
conditions of the offering of this Warrant and its underlying securities and to
obtain additional information (to the extent the Company possessed such
information or could acquire it without unreasonable effort or expense)
necessary to verify any information furnished to the Holder or to which the
Holder has access.

         4.3      Investment Experience. The Holder understands that the
purchase of this Warrant and its underlying securities involves substantial
risk. The Holder: (i) has experience as an investor in securities of companies
in the development stage and acknowledges that the Holder is able to fend for
itself, can bear the economic risk of such Holder's investment in this Warrant
and its underlying securities and has such knowledge and experience in financial
or business matters that the Holder is capable of evaluating the merits and
risks of its investment in this Warrant and its underlying securities and/or
(ii) has a preexisting personal or business relationship with the Company and
certain of its officers, directors or controlling persons of a nature and
duration that enables the Holder to be aware of the character, business acumen
and financial circumstances of such persons.

         4.4      Accredited Investor Status. The Holder is an "accredited
investor" within the meaning of Regulation D promulgated under the 1933 Act.

         4.5      Stockholders Agreement. The Holder acknowledges and agrees
that upon exercise or conversion of this Warrant into Shares, that the Holder
shall be subject to the terms and conditions of the Amended and Restated
Stockholders' Agreement dated November 21, 2001, as such agreement may be
amended from time to time, and as such agreement applies to holders of common
stock of the Company.

ARTICLE 5. MISCELLANEOUS.

         5.1      Term. This Warrant is exercisable in whole or in part at any
time and from time to time on or before the Expiration Date.

         5.2      Legends. This Warrant and the Shares (and the securities
issuable, directly or indirectly, upon conversion of the Shares, if any) shall
be imprinted with a legend in substantially the following form:

                                       4
<PAGE>

         THIS SECURITY AND ANY SECURITY ISSUABLE HEREUNDER HAVE NOT BEEN
         REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED OR UNDER ANY
         APPLICABLE STATE LAWS, AND MAY NOT BE SOLD, PLEDGED OR OTHERWISE
         TRANSFERRED WITHOUT AN EFFECTIVE REGISTRATION THEREOF UNDER SUCH ACT,
         AN EXEMPTION UNDER SUCH ACT OR PURSUANT TO RULE 144 AND REGISTRATION
         UNDER OR AN EXEMPTION FROM APPLICABLE STATE SECURITIES LAW OR AN
         OPINION OF COUNSEL REASONABLY SATISFACTORY TO THE CORPORATION AND ITS
         COUNSEL THAT SUCH REGISTRATION IS NOT REQUIRED.

         THIS SECURITY IS SUBJECT TO CERTAIN RESTRICTIONS ON TRANSFER AND
         VOTING, INCLUDING THOSE CONTAINED IN THE AMENDED AND RESTATED
         STOCKHOLDERS' AGREEMENT DATED AS OF NOVEMBER 21, 2001, A COPY OF WHICH
         IS ON FILE AT THE PRINCIPAL OFFICE OF THE COMPANY.

         5.3      Compliance with Securities Laws on Transfer. This Warrant and
the Shares issuable upon exercise of this Warrant (and the securities issuable,
directly or indirectly, upon conversion of the Shares, if any) may not be
transferred or assigned in whole or in part without compliance with applicable
federal and state securities laws by the transferor and the transferee
(including, without limitation, the delivery of investment representation
letters and legal opinions reasonably satisfactory to the Company, as reasonably
requested by the Company). The Company shall not require Holder to provide an
opinion of counsel if the transfer is to an affiliate of Holder or if there is
no material question as to the availability of current information as referenced
in Rule 144(c), Holder represents that it has complied with Rule 144(d) and (e)
in reasonable detail, the selling broker represents that it has complied with
Rule 144(f), and the Company is provided with a copy of Holder's notice of
proposed sale.

         5.4      Transfer Procedure. Subject to the provisions of Section 5.3,
Holder may transfer all or part of this Warrant or the Shares issuable upon
exercise of this Warrant (or the securities issuable, directly or indirectly,
upon conversion of the Shares, if any) to Silicon Valley Bancshares or The
Silicon Valley Bank Foundation, or to any affiliate of Holder at any time
without prior notice to Company; provided, however, if Holder transfers this
warrant to any other transferee, Holder will give the Company notice of the
portion of the Warrant being transferred with the name, address and taxpayer
identification number of the transferee and surrendering this Warrant to the
Company for reissuance to the transferee(s) (and Holder if applicable). The
Company may refuse to transfer this Warrant (or the securities issuable,
directly or indirectly, upon conversion of the Shares, if any) (a) to any person
who competes with the Company unless the Company's stock is publicly traded and
(b) in any manner or under any circumstances where a transfer of Series D
Preferred Stock by the existing holders of such Stock would be prohibited or
restricted under existing agreements with the Company.

         5.5      Notices. All notices and other communications from the Company
to the Holder, or vice versa, shall be deemed delivered and effective when given
personally or mailed by first-class registered or certified mail, postage
prepaid, or by nationally-recognized overnight carrier, at such address as may
have been furnished to the Company or the Holder, as the case may be, in writing
by the Company or such holder from time to time. All notices to the Holder shall
be addressed as follows:

                  Silicon Valley Bank
                  Attn: Treasury Department
                  3003 Tasman Drive, HG 110
                  Santa Clara, CA 95054

         5.6      Waiver. This Warrant and any term hereof may be changed,
waived, discharged or terminated only by an instrument in writing signed by the
party against which enforcement of such change, waiver, discharge or termination
is sought.

                                       5
<PAGE>

         5.7      Attorney's Fees. In the event of any dispute between the
parties concerning the terms and provisions of this Warrant, the party
prevailing in such dispute shall be entitled to collect from the other party all
costs incurred in such dispute, including reasonable attorney's fees.

         5.8      Automatic Conversion upon Expiration. In the event that, upon
the Expiration Date, the fair market value of one share of the Shares (or other
security issuable upon the exercise hereof) as determined in accordance with
Section 1.3 above is greater than the Exercise Price in effect on such date,
then this Warrant shall automatically be deemed on and as of such date to be
converted pursuant to Section 1.2 above as to all applicable Shares (or such
other securities) for which it shall not previously have been exercised or
converted, and the Company shall promptly deliver a certificate representing the
Shares (or such other securities) issued upon such conversion to the Holder.

         5.9      Governing Law. This Warrant shall be governed by and construed
in accordance with the laws of the State of Delaware, without giving effect to
its principles regarding conflicts of law.

         5.10     No Stockholder Rights. This Warrant shall not entitle its
Holder to any of the rights of a stockholder of the Company until the Holder has
exercised this Warrant.

                                             "COMPANY"
                                             STEREOTAXIS, INC.

                                             By: /s/ Nicola Young
                                                 ------------------------------
                                             Name: NICOLA YOUNG
                                                   ----------------------------
                                             Title: CFO
                                                    ---------------------------

                                             "HOLDER"
                                             Silicon Valley Bank

                                             By: /s/ Dan Wallace
                                                -------------------------------
                                             Name: DAN WALLACE
                                                   ----------------------------
                                             Title: VICE PRESIDENT
                                                    ---------------------------

                                       6
<PAGE>

                                   APPENDIX 1
                              NOTICE OF EXERCISE:

         1.       The undersigned hereby elects to purchase _______________
shares of the Series D-1 Preferred Stock of Stereotaxis Inc. pursuant to the
terms of the attached Warrant, and tenders herewith payment of the purchase
price of such shares in full.

or

         I.       The undersigned hereby elects to convert the attached Warrant
into Shares in the manner specified in the Warrant. This conversion is exercised
with respect to of the Shares covered by the Warrant.

         2.       Please issue a certificate or certificates representing said
shares in the name of the undersigned or in such other name as is specified
below:

                           -------------------------
                                     (Name)

                           -------------------------

                           -------------------------
                                    (Address)

         3.       The undersigned represents it is acquiring the shares solely
for its own account and not as a nominee for any other party and not with a view
toward the resale or distribution thereof except in compliance with applicable
securities laws and that all representations and warranties made by it in
Article 4 of the Warrant are true as if made on the date hereof.

                                             ----------------------------------
                                                         (Signature)

--------------------
       (Date)

                                       7<PAGE>
                                                                   EXHIBIT 4.14

                           WARRANT TO PURCHASE STOCK

THIS WARRANT AND THE SHARES ISSUABLE HEREUNDER HAVE NOT BEEN REGISTERED UNDER
THE SECURITIES ACT OF 1933, AS AMENDED (THE "ACT"), OR THE SECURITIES LAWS OF
ANY STATE AND, EXCEPT AND PURSUANT TO THE PROVISIONS OF ARTICLE 5 BELOW, MAY
NOT BE OFFERED, SOLD OR OTHERWISE TRANSFERRED, PLEDGED OR HYPOTHECATED UNLESS
AND UNTIL REGISTERED UNDER SAID ACT AND APPLICABLE STATE SECURITIES LAW OR, IN
THE OPINION OF LEGAL COUNSEL IN FORM AND SUBSTANCE SATISFACTORY TO THE ISSUER
OF THESE SECURITIES, SUCH OFFER, SALE OR TRANSFER, PLEDGE OR HYPOTHECATION IS
EXEMPT FROM REGISTRATION.

THE SECURITIES REPRESENTED BY THIS WARRANT ARE SUBJECT TO CERTAIN RESTRICTIONS
ON TRANSFER AND VOTING AGREEMENTS CONTAINED IN THE AMENDED AND RESTATED
STOCKHOLDERS' AGREEMENT DATED AS OF NOVEMBER 21, 2001, A COPY OF WHICH IS ON
FILE AT THE PRINCIPAL OFFICE OF THE COMPANY.

                           WARRANT TO PURCHASE STOCK

Company: Stereotaxis, Inc., a Delaware corporation
Number of Shares: 18,000
Class of Stock: Series D-1 Preferred
Warrant Price: $2.17 per share
Issue Date: September 30, 2002
Expiration Date: September 30, 2007

         THIS WARRANT CERTIFIES THAT, for the agreed upon value of $1.00 and
for other good and valuable consideration, SILICON VALLEY BANK ("Holder") is
entitled to purchase the number of fully paid and nonassessable shares of the
class of securities (the "Shares") of the company (the "Company") at the
Warrant Price, all as set forth above and as adjusted pursuant to Article 2 of
this Warrant, subject to the provisions and upon the terms and conditions set
forth in this Warrant.

 ARTICLE 1. EXERCISE.

             1.1 Method of Exercise. Holder may exercise this Warrant by
delivering a duly executed Notice of Exercise in substantially the form
attached as Appendix 1 to the principal office of the Company. Unless Holder is
exercising the conversion right set forth in Article 1.2, Holder shall also
deliver to the Company a check, wire transfer (to an account designated by the
Company), or other form of payment acceptable to the Company for the aggregate
Warrant Price for the Shares being purchased.

<PAGE>

             1.2 Conversion Right. In lieu of exercising this Warrant as
specified in Article 1.1, Holder may from time to time convert this Warrant, in
whole or in part, into a number of Shares determined by dividing (a) the
aggregate fair market value of the Shares or other securities otherwise
issuable upon exercise of this Warrant minus the aggregate Warrant Price of
such Shares by (b) the fair market value of one Share. The fair market value of
the Shares shall be determined pursuant to Article 1.3.

             1.3 Fair Market Value. If the Company's common stock is traded in
a public market and the shares are common stock, the fair market value of each
Share shall be the closing price of a Share reported for the business day
immediately before Holder delivers its Notice of Exercise to the Company (or in
the instance where the Warrant is exercised immediately prior to the
effectiveness of the Company's initial public offering, the "price to public"
per share price specified in the final prospectus relating to such offering).
If the Company's common stock is traded in a public market and the Shares are
preferred stock, the fair market value of a Share shall be the closing price of
a share of the Company's common stock reported for the business day immediately
before Holder delivers its Notice of Exercise to the Company (or, in the
instance where the Warrant is exercised immediately prior to the effectiveness
of the Company's initial public offering, the initial "price to public" per
share price specified in the final prospectus relating to such offering), in
both cases, multiplied by the number of shares of the Company's common stock
into which a Share is convertible. If the Company's common stock is not traded
in a public market, the Board of Directors of the Company shall determine fair
market value in its reasonable good faith judgment.

             1.4 Delivery of Certificate and New Warrant. Promptly after Holder
exercises or converts this Warrant and, if applicable, the Company receives
payment of the aggregate Warrant Price, the Company shall deliver to Holder
certificates for the Shares acquired and, if this Warrant has not been fully
exercised or converted and has not expired, a new Warrant representing the
Shares not so acquired.

             1.5 Replacement of Warrants. On receipt of evidence reasonably
satisfactory to the Company of the loss, theft, destruction or mutilation of
this Warrant and, in the case of loss, theft or destruction, on delivery of an
indemnity agreement reasonably satisfactory in form and amount to the Company
or, in the case of mutilation, or surrender and cancellation of this Warrant,
the Company shall execute and deliver, in lieu of this Warrant, a new warrant
of like tenor.

             1.6 Treatment of Warrant Upon Acquisition of Company.

                 1.6.1 "Acquisition". For the purpose of this Warrant,
"Acquisition" means any sale, license, or other disposition of all or
substantially all of the assets of the Company, or any reorganization,
consolidation, or merger of the Company where the holders of the Company's
securities before the transaction beneficially own less than 50% of the
outstanding voting securities of the surviving entity after the transaction.

                 1.6.2 Treatment of Warrant at Acquisition.

A) Upon the written request of the Company, Holder agrees that, in the event of
an Acquisition in which the sole consideration is cash, either (a) Holder shall
exercise its conversion or purchase right under this Warrant and such exercise
will be deemed

<PAGE>

effective immediately prior to the consummation of such Acquisition or (b) if
Holder elects not to exercise the Warrant, this Warrant will expire upon the
consummation of such Acquisition. The Company shall provide the Holder with
written notice of its request relating to the foregoing (together with such
reasonable information as the Holder may request in connection with such
contemplated Acquisition giving rise to such notice), which is to be delivered
to Holder not less than ten (10) days prior to the closing of the proposed
Acquisition.

B) Upon the written request of the Company, Holder agrees that, in the event of
an Acquisition that is an "arms length" sale of all or substantially all of the
Company's assets (and only its assets) to a third party that is not an
Affiliate (as defined below) of the Company (a "True Asset Sale"), either (a)
Holder shall exercise its conversion or purchase right under this Warrant and
such exercise will be deemed effective immediately prior to the consummation of
such Acquisition or (b) if Holder elects not to exercise the Warrant, this
Warrant will continue until the Expiration Date if the Company continues as a
going concern following the closing of any such True Asset Sale. The Company
shall provide the Holder with written notice of its request relating to the
foregoing (together with such reasonable information as the Holder may request
in connection with such contemplated Acquisition giving rise to such notice),
which is to be delivered to Holder not less than ten (10) days prior to the
closing of the proposed Acquisition.

C) Upon the closing of any Acquisition other than those particularly described
in subsections (A) and (B) above, the successor entity shall assume the
obligations of this Warrant, and this Warrant shall be exercisable for the same
securities, cash, and property as would be payable for the Shares issuable upon
exercise of the unexercised portion of this Warrant as if such Shares were
outstanding on the record date for the Acquisition and subsequent closing. The
Warrant Price and/or number of Shares shall be adjusted accordingly.

As used herein "Affiliate" shall mean any person or entity that owns or
controls directly or indirectly ten (10) percent or more of the stock of
Company, any person or entity that controls or is controlled by or is under
common control with such persons or entities, and each of such person's or
entity's officers, directors, joint venturers or partners, as applicable.

ARTICLE 2. ADJUSTMENTS TO THE SHARES.

             2.1 Stock Dividends, Splits, Etc. If the Company declares or pays
a dividend on the Shares payable in common stock, or other securities, then
upon exercise of this Warrant, for each Share acquired, Holder shall receive,
without cost to Holder, the total number and kind of securities to which Holder
would have been entitled had Holder owned the Shares of record as of the date
the dividend occurred. If the Company subdivides the Shares by reclassification
or otherwise into a greater number of shares or takes any other action which
increase the amount of stock into which the Shares are convertible, the number
of shares purchasable hereunder shall be proportionately increased and the
Warrant Price shall be proportionately decreased. If

<PAGE>

the outstanding shares are combined or consolidated, by classification or
otherwise, into a lesser number of shares, the Warrant Price shall be
proportionately increased and the number of Shares shall be proportionately
decreased.

             2.2 Reclassification, Exchange, Combinations or Substitution. Upon
any reclassification, exchange, substitution, or other event that results in a
change of the number and/or class of the securities issuable upon exercise or
conversion of this Warrant, Holder shall be entitled to receive, upon exercise
or conversion of this Warrant, the number and kind of securities and property
that Holder would have received for the Shares if this Warrant had been
exercised immediately before such reclassification, exchange, substitution, or
other event. Such an event shall include any automatic conversion of the
outstanding or issuable securities of the Company of the same class or series
as the Shares to common stock pursuant to the terms of the Company's Articles
or Certificate (as applicable) of Incorporation upon the closing of a
registered public offering of the Company's common stock. The Company or its
successor shall promptly issue to Holder an amendment to this Warrant setting
forth the number and kind of such new securities or other property issuable
upon exercise or conversion of this Warrant as a result of such
reclassification, exchange, substitution or other event that results in a
change of the number and/or class of securities issuable upon exercise or
conversion of this Warrant. The amendment to this Warrant shall provide for
adjustments which shall be as nearly equivalent as may be practicable to the
adjustments provided for in this Article 2 including, without limitation,
adjustments to the Warrant Price and to the number of securities or property
issuable upon exercise of the new Warrant. The provisions of this Article 2.2
shall similarly apply to successive reclassifications, exchanges, substitutions,
or other events.

             2.3 Adjustments for Diluting Issuances. The Warrant Price and the
number of Shares issuable upon exercise of this Warrant or, if the Shares are
Preferred Stock, the number of shares of common stock issuable upon conversion
of the Shares, shall be subject to adjustment, from time to time in the manner
set forth in the Company's Articles or Certificate of Incorporation as if the
Shares were issued and outstanding on and as of the date of any such required
adjustment. The provisions set forth for the Shares in the Company's Articles or
Certificate (as applicable) of Incorporation relating to the above in effect as
of the Issue Date may not be amended, modified or waived, without the prior
written consent of Holder unless such amendment, modification or waiver affects
the rights associated with the Shares in the same manner as such amendment,
modification or waiver affects the rights associated with all other shares of
the same series and class as the Shares granted to the Holder.

             2.4 No Impairment. The Company shall not, by amendment of its
Articles or Certificate (as applicable) of Incorporation or through a
reorganization, transfer of assets, consolidation, merger, dissolution, issue,
or sale of securities or any other voluntary action, avoid or seek to avoid the
observance or performance of any of the terms to be observed or performed under
this Warrant by the Company, but shall at all times in good faith assist in
carrying out of all the provisions of this Article 2 and in taking all such
action as may be necessary or appropriate to protect Holder's rights under this
Article against impairment.

             2.5 Fractional Shares. No fractional Shares shall be issuable upon
exercise or conversion of the Warrant and the number of Shares to be issued
shall be rounded down to the nearest whole Share. If a fractional share
interest arises upon any

<PAGE>

exercise or conversion of the Warrant, the Company shall eliminate such
fractional share interest by paying Holder the amount computed by multiplying
the fractional interest by the fair market value of a full Share.

             2.6 Certificate as to Adjustments. Upon each adjustment of the
Warrant Price, the Company shall promptly notify Holder in writing, and, at the
Company's expense, promptly compute such adjustment, and furnish Holder with a
certificate of its Chief Financial Officer setting forth such adjustment and
the facts upon which such adjustment is based. The Company shall, upon written
request, furnish Holder a certificate setting forth the Warrant Price in effect
upon the date thereof and the series of adjustments leading to such Warrant
Price.

ARTICLE 3. REPRESENTATIONS AND COVENANTS OF THE COMPANY.

             3.1 Representations and Warranties. The Company represents and
warrants to the Holder as follows:

                 (a) The initial Warrant Price referenced on the first page of
this Warrant is not greater than (i) the price per share at which the Shares
were last issued in an arms-length transaction in which at least $500,000 of
the Shares were sold and (ii) the fair market value of the Shares as of the
date of this Warrant.

                 (b) All Shares which may be issued upon the exercise of the
purchase right represented by this Warrant, and all securities, if any,
issuable upon conversion of the Shares, shall, upon issuance against full
payment of the Warrant Price therefor, be duly authorized, validly issued,
fully paid and nonassessable, and free of any liens and encumbrances except for
restrictions on transfer provided for herein or under applicable federal and
state securities laws.

                 (c) The Capitalization Table previously provided to Holder
remains substantially true and complete as of the Issue Date.

         3.2     Notice of Certain Events. If the Company proposes at any time
(a) to declare any dividend or distribution upon any of its stock, whether in
cash, property, stock, or other securities and whether or not a regular cash
dividend; (b) to offer for subscription pro rata to the holders of any class or
series of its stock any additional shares of any class or series of the
Company's stock; (c) to effect any reclassification or recapitalization of any
of its stock; (d) to merge or consolidate with or into any other corporation,
or sell, lease, license, or convey all or substantially all of its assets, or
to liquidate, dissolve or wind up; or (e) offer holders of registration rights
the opportunity to participate in an underwritten public offering of the
company's securities for cash, then, in connection with each such event, the
Company shall give Holder: (1) at least 10 days prior written notice of the
date on which a record will be taken for such dividend, distribution, or
subscription rights (and specifying the date on which the holders of common
stock will be entitled thereto) or for determining rights to vote, if any, in
respect of the matters referred to in (c) and (d) above; (2) in the case of the
matters referred to in (c) and (d) above at least 10 days prior written notice
of the date when the same will take place (and specifying the date on which the
holders of common stock will be entitled to exchange their common stock for
securities or other property deliverable

<PAGE>

upon the occurrence of such event); and (3) in the case of the matter referred
to in (e) above, the same notice as is given to the holders of such
registration rights.

         3.3     Registration Under Securities Act of 1933, as amended. The
Company agrees that the common stock issuable upon conversion of the Shares
shall be subject to the so-called "S-3" registration rights set forth in
Section 4 1.9 of the Company's Third Amended and Restated Investor Rights
Agreement dated November 21, 2001 (the "Registration Rights Agreement"), so long
as the Company shall be eligible to utilize Form S-3 under the 1933 Act. The
provisions set forth in the Registration Rights Agreement relating to the above
in effect as of the Issue Date may not be amended, modified or waived without
the prior written consent of Holder unless such amendment, modification or
waiver affects the rights associated with the Shares in the same manner as such
amendment, modification, or waiver affects the rights associated with all other
shares of the same series and class as the Shares granted to the Holder.

         3.4     No Shareholder Rights. Except as provided in this Warrant, the
Holder will not have any rights as a shareholder of the Company until the
exercise of this Warrant.

ARTICLE 4. REPRESENTATIONS, WARRANTIES OF THE HOLDER. The Holder represents and
warrants to the Company as follows:

         4.1     Purchase for Own Account. This Warrant and the securities to be
acquired upon exercise of this Warrant by the Holder will be acquired for
investment for the Holder's account, not as a nominee or agent, and not with a
view to the public resale or distribution within the meaning of the Act. Holder
also represents that the Holder has not been formed for the specific purpose of
acquiring this Warrant or the Shares.

         4.2     Disclosure of Information. The Holder has received or has had
full access to all the information it considers necessary or appropriate to
make an informed investment decision with respect to the acquisition of this
Warrant and its underlying securities. The Holder further has had an
opportunity to ask questions and receive answers from the Company regarding the
terms and conditions of the offering of this Warrant and its underlying
securities and to obtain additional information (to the extent the Company
possessed such information or could acquire it without unreasonable effort or
expense) necessary to verify any information furnished to the Holder or to
which the Holder has access.

         4.3     Investment Experience. The Holder understands that the purchase
of this Warrant and its underlying securities involves substantial risk. The
Holder has experience as an investor in securities of companies in the
development stage and acknowledges that the Holder can bear the economic risk
of such Holder's investment in this Warrant and its underlying securities and
has such knowledge and experience in financial or business matters that the
Holder is capable of evaluating the merits and risks of its investment in this
Warrant and its underlying securities and/or has a preexisting personal or
business relationship with the Company and certain of its officers, directors
or controlling persons of a nature and duration that enables the Holder

<PAGE>

to be aware of the character, business acumen and financial circumstances of
such persons.

         4.4     Accredited Investor Status. The Holder is an "accredited
investor" within the meaning of Regulation D promulgated under the Act.

         4.5     The Act. The Holder understands that this Warrant and the
Shares issuable upon exercise or conversion hereof have not been registered
under the Act in reliance upon a specific exemption therefrom, which exemption
depends upon, among other things, the bona fide nature of the Holder's
investment intent as expressed herein. The Holder understands that this Warrant
and the Shares issued upon any exercise or conversion hereof must be held
indefinitely unless subsequently registered under the 1933 Act and qualified
under applicable state securities laws, or unless exemption from such
registration and qualification are otherwise available.

         4.6     Stockholders Agreement. The Holder acknowledges and agrees that
upon exercise or conversion of this Warrant into Shares, that the Holder shall
be subject to the terms and conditions of the Amended and Restated
Stockholders' Agreement dated November 21, 2001, as such agreement may be
amended from time to time, and as such agreement applies to holders of common
stock of the Company.

ARTICLE 5. MISCELLANEOUS.

         5.1     Term: This Warrant is exercisable in whole or in part at any
time and from time to time on or before the Expiration Date.

         5.2     Legends. This Warrant and the Shares (and the securities
issuable, directly or indirectly, upon conversion of the Shares, if any) shall
be imprinted with a legend in substantially the following form:

         THIS WARRANT AND THE SHARES ISSUABLE HEREUNDER HAVE NOT BEEN
         REGISTERED UNDER THE ACT, OR THE SECURITIES LAWS OF ANY STATE AND,
         EXCEPT AND PURSUANT TO THE PROVISIONS OF ARTICLE 5 BELOW, MAY NOT BE
         OFFERED, SOLD OR OTHERWISE TRANSFERRED, PLEDGED OR HYPOTHECATED UNLESS
         AND UNTIL REGISTERED UNDER SAID ACT AND APPLICABLE STATE SECURITIES
         LAW OR, IN THE OPINION OF LEGAL COUNSEL IN FORM AND SUBSTANCE
         SATISFACTORY TO THE ISSUER OF THESE SECURITIES, SUCH OFFER, SALE OR
         TRANSFER, PLEDGE OR HYPOTHECATION IS EXEMPT FROM REGISTRATION.

         THIS SECURITY IS SUBJECT TO CERTAIN RESTRICTIONS ON TRANSFER AND
         VOTING, INCLUDING THOSE CONTAINED IN THE AMENDED AND RESTATED
         STOCKHOLDERS' AGREEMENT DATED AS OF NOVEMBER 21, 2001, A COPY OF WHICH
         IS ON FILE AT THE PRINCIPAL

<PAGE>

         OFFICE OF THE COMPANY.

         5.3     Compliance with Securities Laws on Transfer. This Warrant and
the Shares issuable upon exercise of this Warrant (and the securities issuable,
directly or indirectly, upon conversion of the Shares, if any) may not be
transferred or assigned in whole or in part without compliance with applicable
federal and state securities laws by the transferor and the transferee
(including, without limitation, the delivery of investment representation
letters and legal opinions reasonably satisfactory to the Company, as
reasonably requested by the Company). The Company shall not require Holder to
provide an opinion of counsel if the transfer is to Silicon Valley Bancshares
(Holder's parent company) or any other affiliate of Holder. Additionally, the
Company shall also not require an opinion of counsel if there is no material
question as to the availability of current information as referenced in Rule
144(c), Holder represents that it has complied with Rule 144(d) and (e) in
reasonable detail, the selling broker represents that it has complied with Rule
144(f), and the Company is provided with a copy of Holder's notice of proposed
sale.

         5.4     Transfer Procedure. Upon receipt by Holder of the executed
Warrant, Holder will transfer all of this Warrant to Silicon Valley Bancshares,
Holder's parent company, by execution of an Assignment substantially in the
form of Appendix 2. Subject to the provisions of Article 5.3 and upon providing
Company with written notice, Silicon Valley Bancshares and any subsequent
Holder may transfer all or part of this Warrant or the Shares issuable upon
exercise of this Warrant (or the Shares issuable directly or indirectly, upon
conversion of the Shares, if any) to any transferee, provided, however, in
connection with any such transfer, Silicon Valley Bancshares or any subsequent
Holder will give the Company notice of the portion of the Warrant being
transferred with the name, address and taxpayer identification number of the
transferee and Holder will surrender this Warrant to the Company for reissuance
to the transferee(s) (and Holder if applicable). The Company may refuse to
transfer this Warrant or the Shares (a) to any person who directly competes
with the Company, unless, in either case, the stock of the Company is publicly
traded and (b) in any manner or under any circumstances where a transfer of
Series D-1 Preferred Stock by the existing holders of such Stock would be
prohibited or restricted under existing agreements with the Company.

         5.5     Notices. All notices and other communications from the Company
to the Holder, or vice versa, shall be deemed delivered and effective when
given personally or mailed by first-class registered or certified mail, postage
prepaid, at such address as may have been furnished to the Company or the
Holder, as the case may (or on the first business day after transmission by
facsimile) be, in writing by the Company or such holder from time to time.
Effective upon receipt of the fully executed Warrant and the initial transfer
described in Article 5.4 above, all notices to the Holder shall be addressed as
follows until the Company receives notice of a change of address in connection
with a transfer or otherwise:

                 Silicon Valley Bancshares
                 Attn: Treasury Department
                 3003 Tasman Drive, HA 200
                 Santa Clara, CA 95054
                 Telephone: 408-654-7400
                 Facsimile: 408-496-2405

<PAGE>

         Notice to the Company shall be addressed as follows until the Holder
receives notice of a change in address:

                            Stereotaxis, Inc.

                            Attn: Chief Financial Officer
                                 ---------------------------
                            4041 Forest Park Ave.
                            St. Louis, MO 63108
                            Telephone: 314-615-6940
                            Facsimile: 314-615-69__

         5.6     Waiver. This Warrant and any term hereof may be changed,
waived, discharged or terminated only by an instrument in writing signed by the
party against which enforcement of such change, waiver, discharge or termination
is sought.

         5.7     Attorney's Fees. In the event of any dispute between the
parties concerning the terms and provisions of this Warrant, the party
prevailing in such dispute shall be entitled to collect from the other party
all costs incurred in such dispute, including reasonable attorney's fees.

         5.8     Automatic Conversion upon Expiration. In the event that, upon
the Expiration Date, the fair market value of one Share (or other security
issuable upon the exercise hereof) as determined in accordance with Section 1.3
above is greater than the Exercise Price in effect on such date, then this
Warrant shall automatically be deemed on and as of such date to be converted
pursuant to Section 1.2 above as to all Shares (or such other securities) for
which it shall not previously have been exercised or converted, and the Company
shall promptly deliver a certificate representing the Shares (or such other
securities) issued upon such conversion to the Holder.

         5.9     Counterparts. This Warrant may be executed in counterparts, all
of which together shall constitute one and the same agreement.

         5.10    Governing Law. This Warrant shall be governed by and construed
in accordance with the laws of the State of Delaware, without giving effect to
its principles regarding conflicts of law.

         5.11    No Stockholder Right. This Warrant shall not entitle its Holder
to any of the rights of a stockholder of the Company until the Holder has
exercised this Warrant.

<PAGE>

"COMPANY"

STEREOTAXIS, INC.

By: /s/ NICOLA YOUNG
    --------------------------------
Name: Nicola Young
     -------------------------------
     (Print)
Title: Chief Financial Officer
      ------------------------------

"HOLDER"

SILICON VALLEY BANK

By: /s/ DAN WALLACE
    --------------------------------
Name: Dan Wallace
     -------------------------------
     (Print)
Title: Vice President
      ------------------------------

<PAGE>

                                   APPENDIX 1

                              NOTICE OF EXERCISE

         1. Holder elects to purchase __________ shares of the Series D-1
Preferred Stock of Stereotaxis, Inc. pursuant to the terms of the attached
Warrant, and tenders payment of the purchase price of the shares in full.

            [or]

         1. Holder elects to convert the attached Warrant into Shares/cash
[strike one] in the manner specified in the Warrant. This conversion is
exercised for _____________________________________________of the Shares
covered by the Warrant.

         2. Please issue a certificate or certificates representing the shares
in the name specified below:

                                        -----------------------------------
                                                Holders Name

                                        -----------------------------------

                                        -----------------------------------
                                                (Address)

         3. By its execution below and for the benefit of the Company, Holder
hereby restates each of the representations and warranties in Article 4 of the
Warrant as the date hereof.

                                                  HOLDER:

                                                  By:
                                                     ---------------------------

                                                  Name:
                                                       -------------------------
                                                  Title:
                                                        ------------------------
                                                  (Date):
                                                         -----------------------

<PAGE>

                                   APPENDIX 2

                                   ASSIGNMENT

         FOR VALUE RECEIVED, SILICON VALLEY BANK HEREBY SELLS, ASSIGNS AND
TRANSFERS UNTO

               NAME:      SILICON VALLEY BANCSHARES
               ADDRESS:   3003 TASMAN DRIVE (HA-200)
                          SANTA CLARA, CA 95054

               TAX ID:    91-1962278

THAT CERTAIN WARRANT TO PURCHASE STOCK ISSUED BY STEREOTAXIS, INC. (THE
"COMPANY"), ON SEPTEMBER 30, 2002 (THE "WARRANT") TOGETHER WITH ALL RIGHTS,
TITLE AND INTEREST THEREIN.

                                            SILICON VALLEY BANK

                                            By:
                                               ---------------------------------
                                            Name:
                                                 -------------------------------
                                            Title:
                                                  ------------------------------

Date: [insert Issue Date]
                         ------------------

By its execution below, and for the benefit of the Company, Silicon Valley
Bancshares makes each of the representations and warranties set forth in Article
4 of the Warrant as of the date hereof.

                                            SILICON VALLEY BANCSHARES

                                           By:
                                              ----------------------------------
                                            Name:
                                                 -------------------------------
                                            Title:
                                                  ------------------------------

Source: [{"source": "alea-institute/alea-institute/kl3m-data-edgar-agreements/train-00065-of-00352.parquet"}, [{"source": "alea-institute/alea-institute/kl3m-data-edgar-agreements/train-00065-of-00352.parquet"}]]