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                                                                     Exhibit 4.4

                         REGISTRATION RIGHTS AGREEMENT


     REGISTRATION RIGHTS AGREEMENT (this "Agreement"), dated as of June 8, 2000,
by and among Aastrom Biosciences, Inc., a Michigan corporation, with its
headquarters located at 24 Frank Lloyd Wright Drive, Ann Arbor, Michigan 48106
(the "Company"), and each of the undersigned (together with their respective
affiliates and any assignee or transferee of all of their respective rights
hereunder, the "Initial Investors").

     WHEREAS:

     A.   In connection with the Securities Purchase Agreement by and among the
parties hereto of even date herewith (the "Securities Purchase Agreement"), the
Company has agreed, upon the terms and subject to the conditions contained
therein, to issue and sell to the Initial Investors (i) 2,810,305 shares of the
Company's common stock, no par value (the "Common Stock"), and (ii) up to
3,348,915 warrants (the "Warrants"), each Warrant to acquire one (1) share of
Common Stock, upon the terms and subject to the limitations and conditions set
forth in the Warrants dated as of June 8, 2000; and

     B.   To induce the Initial Investors to execute and deliver the Securities
Purchase Agreement, the Company has agreed to provide certain registration
rights under the Securities Act of 1933, as amended, and the rules and
regulations thereunder, or any similar successor statute (collectively, the
"1933 Act"), and applicable state securities laws;

     NOW, THEREFORE, in consideration of the premises and the mutual covenants
contained herein and other good and valuable consideration, the receipt and
sufficiency of which are hereby acknowledged, the Company and each of the
Initial Investors hereby agree as follows:

     1.   DEFINITIONS.
          -----------

          (a)   As used in this Agreement, the following terms shall have the
following meanings:

               (i)   "Investors" means the Initial Investors and any transferee
or assignee who agrees to become bound by the provisions of this Agreement in
accordance with Section 9 hereof.

               (ii)  "register," "registered," and "registration" refer to a
registration effected by preparing and filing a Registration Statement or
Statements in compliance with the 1933 Act and pursuant to Rule 415 under the
1933 Act or any successor rule providing for offering
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securities on a continuous basis ("Rule 415"), and the declaration or ordering
of effectiveness of such Registration Statement by the United States Securities
and Exchange Commission (the "SEC").

               (iii) "Registrable Securities" means (A) the Common Shares issued
pursuant to the Securities Purchase Agreement, (B) the Warrant Shares issued or
issuable (up to the maximum number of Warrant Shares issuable pursuant to the
Warrants) upon exercise of or otherwise pursuant to the Warrants, and (C) any
shares of capital stock issued or issuable as a dividend on or in exchange for
or otherwise with respect to any of the foregoing (including, without
limitation, any shares of Common Stock issued or issuable pursuant to Section
2(c) hereof).

               (iv) "Registration Statement(s)" means a registration
statement(s) of the Company under the 1933 Act.

          (b)  Capitalized terms used herein and not otherwise defined herein
shall have the respective meanings set forth in the Securities Purchase
Agreement.

     2.   REGISTRATION.
          ------------

          (a)  Mandatory Registration.  The Company shall prepare, and, on or
               ----------------------
prior to the date which is twenty (20) days after the date of the Closing under
the Securities Purchase Agreement (the "Closing Date"), file with the SEC a
Registration Statement on Form S-3 (or, if Form S-3 is not then available, on
such form of Registration Statement as is then available to effect a
registration of the Registrable Securities, subject to the consent of the
Initial Investors, which consent will not be unreasonably withheld) covering the
resale of the Registrable Securities, which Registration Statement, to the
extent allowable under the 1933 Act and the rules and regulations promulgated
thereunder (including Rule 416), shall state that such Registration Statement
also covers such indeterminate number of additional shares of Common Stock as
may become issuable upon exercise of or otherwise pursuant to the Warrants to
prevent dilution resulting from stock splits, stock dividends or similar
transactions.  The number of shares of Common Stock initially included in such
Registration Statement shall be no less than the sum of (x) the aggregate number
of Common Shares issued pursuant to the Securities Purchase Agreement and (y)
the maximum number of Warrant Shares that could be issued upon exercise of or
otherwise pursuant to the Warrants, without regard to any limitation on the
Investor's ability to exercise the Warrants.  The Company acknowledges that the
number of shares initially included in the Registration Statement represents the
Common Shares plus a good faith estimate of the maximum number of shares
issuable upon exercise of the Warrants.

          (b)  Underwritten Offering.  If any offering pursuant to a
               ---------------------
Registration Statement pursuant to Section 2(a) hereof involves an underwritten
offering, the Investors who hold a majority in interest of the Registrable
Securities subject to such underwritten offering, with the consent of a
majority-in-interest of the Initial Investors, shall have the right to select
one legal counsel and an investment banker or bankers and manager or managers to
administer the offering, which investment banker or bankers or manager or
managers shall be reasonably satisfactory to the Company.

                                      -2-
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          (c)  Issuance of Additional Common Stock by the Company.  The Company
               --------------------------------------------------
shall use its best efforts to obtain effectiveness of the Registration Statement
as soon as practicable.  If (i) the Registration Statement covering the
Registrable Securities required to be filed by the Company pursuant to Section
2(a) hereof is not declared effective by the SEC within one hundred twenty (120)
days after the Closing Date or if, after the Registration Statement has been
declared effective by the SEC, sales of all of the Registrable Securities cannot
be made pursuant to the Registration Statement, or (ii) the Common Stock is not
listed or included for quotation on the Nasdaq National Market ("Nasdaq"), the
Nasdaq SmallCap Market ("Nasdaq SmallCap"), the New York Stock Exchange (the
"NYSE") or the American Stock Exchange (the "AMEX") after being so listed or
included for quotation, then the Company will issue additional shares of Common
Stock or pay, at the election of the Company, to the Investors in such amounts
and at such times as shall be determined pursuant to this Section 2(c) as
partial relief for the damages to the Investors by reason of any such delay in
or reduction of their ability to sell the Registrable Securities (which remedy
shall not be exclusive of any other remedies available at law or in equity).
Without limiting the generality of the preceding sentence, the Company shall
issue or pay, at the election of the Company, to each holder of Registrable
Securities an amount of Common Stock equal in value, or cash, as applicable,
equal to (x) the aggregate purchase price paid by such holder pursuant to the
Securities Purchase Agreement for the Common Shares and Warrant Shares held by
such holder at the time of an event specified in clause (i) or (ii) above (the
"Aggregate Purchase Price"), multiplied by the Applicable Percentage (as defined
below), multiplied by (y) the sum of:  (i) the number of months (prorated for
partial months) after the end of such 120-day period and prior to the date the
Registration Statement required to be filed pursuant to Section 2(a) is declared
effective by the SEC; provided, however, that there shall be excluded from such
                      --------  -------
period any delays which are solely attributable to changes required by the
Investors in the Registration Statement with respect to information relating to
the Investors, including, without limitation, changes to the plan of
distribution, or to the failure of the Investors to conduct their review of the
Registration Statement pursuant to Section 3(h) below in a reasonably prompt
manner; (ii) the number of months (prorated for partial months) during the
Registration Period (as defined below) that sales of all of the Registrable
Securities cannot be made pursuant to the Registration Statement after the
Registration Statement has been declared effective (including, without
limitation, when sales cannot be made by reason of the Company's failure to
properly supplement or amend the prospectus included therein in accordance with
the terms of this Agreement (including Section 3(b) hereof or otherwise), but
excluding any days during an Allowed Delay (as defined in Section 3(f)); and
(iii) the number of months (prorated for partial months) that the Common Stock
is not listed or included for quotation on the Nasdaq, Nasdaq SmallCap, NYSE or
AMEX or that trading thereon is halted after the Registration Statement has been
declared effective.  The term "Applicable Percentage" means 0.015.  (For
example, if the Registration Statement becomes effective one (1) month after the
end of such 120-day period, the Company would issue or pay, at the election of
the Company, $15,000 worth of Common Stock or $15,000 cash, as applicable, for
each $1,000,000 of Aggregate Purchase Price applicable to the shares of Common
Stock and Warrants then held.  If thereafter, and after excluding an Allowed
Delay, sales could not be made pursuant to the Registration Statement for an
additional period of one (1) month, the Company would issue or pay, at the
election of the Company, an additional $15,000 worth of Common Stock or $15,000
cash, as applicable, for each $1,000,000 of Aggregate Purchase Price

                                      -3-
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applicable to the shares of Common Stock and Warrants then held.) Shares of
Common Stock issued pursuant to this Section will be valued at 85% of the
average of the Closing Bid Prices (as defined in the Warrant) of such shares for
the five (5) consecutive Trading Days (as defined in the Warrant) ending on the
Trading Day immediately preceding the date of issuance (which shares of Common
Stock shall be Registrable Securities (but do not necessarily need to be
registered at the time of issuance)). The Company shall deliver such shares of
Common Stock or such cash, as applicable, not later than two (2) days after the
end of each period that gives rise to such obligation, provided that, if any
such period extends for more than thirty (30) days, interim payments shall be
made for each such thirty (30) day period. Notwithstanding the foregoing, in the
event the total number of Common Shares and Warrant Shares issued upon exercise
of otherwise pursuant to the Warrants (including any shares of capital stock or
rights to acquire shares of capital stock issued by the Company which are
aggregated or integrated with the Common Shares and Warrant Shares issued or
issuable upon exercise of or otherwise pursuant to the Warrants), exceeds the
Maximum Share Amount (as defined in the Securities Purchase Agreement) and the
Company has not obtained the Stockholder Approval (as defined in the Securities
Purchase Agreement), so long as no Event of Default then exists under the
Securities Purchase Agreement and the Company has complied with its obligations
pursuant to Section 4(n) of the Securities Purchase Agreement, the Company shall
make the payments described herein in cash and, solely with respect to such
payments, the Applicable Percentage shall equal to 0.0125.

          (d)  Piggy-Back Registrations.  Subject to the last sentence of this
               ------------------------
Section 2(d), if at any time prior to the expiration of the Registration Period
(as hereinafter defined) the Company shall determine to file with the SEC a
Registration Statement relating to an offering for its own account or the
account of others under the 1933 Act of any of its equity securities (other than
on Form S-4 or Form S-8 or their then equivalents relating to equity securities
to be issued solely in connection with any acquisition of any entity or business
or equity securities issuable in connection with stock option or other employee
benefit plans), the Company shall send to each Investor who is entitled to
registration rights under this Section 2(d) written notice of such determination
and, if within fifteen (15) days after the effective date of such notice, such
Investor shall so request in writing, the Company shall include in such
Registration Statement all or any part of the Registrable Securities such
Investor requests to be registered, except that if, in connection with any
underwritten public offering for the account of the Company the managing
underwriter(s) thereof shall impose a limitation on the number of shares of
Common Stock which may be included in the Registration Statement because, in
such underwriter(s)' judgment, marketing or other factors dictate such
limitation is necessary to facilitate public distribution, then the Company
shall be obligated to include in such Registration Statement only such limited
portion of the Registrable Securities with respect to which such Investor has
requested inclusion hereunder as the underwriter shall permit.  Any exclusion of
Registrable Securities shall be made pro rata among the Investors seeking to
include Registrable Securities in proportion to the number of Registrable
Securities sought to be included by such Investors; provided, however, that the
                                                    --------  -------
Company shall not exclude any Registrable Securities unless the Company has
first excluded all outstanding securities, the holders of which are not entitled
to inclusion of such securities in such Registration Statement or are not
entitled to pro rata inclusion with the Registrable Securities; and provided,
                                                                    --------
further, however, that, after giving effect
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                                      -4-
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to the immediately preceding proviso, any exclusion of Registrable Securities
shall be made pro rata with holders of other securities having the right to
include such securities in the Registration Statement other than holders of
securities entitled to inclusion of their securities in such Registration
Statement by reason of demand registration rights. No right to registration of
Registrable Securities under this Section 2(d) shall be construed to limit any
registration required under Section 2(a) hereof. If an offering in connection
with which an Investor is entitled to registration under this Section 2(d) is an
underwritten offering, then each Investor whose Registrable Securities are
included in such Registration Statement shall, unless otherwise agreed by the
Company, offer and sell such Registrable Securities in an underwritten offering
using the same underwriter or underwriters and, subject to the provisions of
this Agreement, on the same terms and conditions as other shares of Common Stock
included in such underwritten offering. Notwithstanding anything to the contrary
set forth herein, the registration rights of the Investors pursuant to this
Section 2(d) shall only be available in the event the Company fails to timely
file, obtain effectiveness or maintain effectiveness of any Registration
Statement to be filed pursuant to Section 2(a) in accordance with the terms of
this Agreement.

          (e)  Eligibility for Form S-3.  The Company represents and warrants
               ------------------------
that it meets the registrant eligibility and transaction requirements for the
use of Form S-3 for registration of the sale by the Initial Investors and any
other Investors of the Registrable Securities and the Company shall file all
reports required to be filed by the Company with the SEC in a timely manner so
as to maintain such eligibility for the use of Form S-3.

     3.   OBLIGATIONS OF THE COMPANY.  In connection with the registration of
          --------------------------
the Registrable Securities, the Company shall have the following obligations:

          (a)  The Company shall prepare promptly, and file with the SEC not
later than twenty (20) days after the Closing Date, a Registration Statement
with respect to the number of Registrable Securities provided in Section 2(a),
and thereafter use its best efforts to cause such Registration Statement
relating to Registrable Securities to become effective as soon as possible after
such filing (but in no event later than one hundred twenty (120) days after the
Closing Date), and keep the Registration Statement effective pursuant to Rule
415 at all times until such date as is the earlier of (i) the date on which all
of the Registrable Securities have been sold and (ii) the date on which the
Registrable Securities (in the opinion of counsel to the Company, reasonably
satisfactory in form and substance to the Initial Investors) may be immediately
sold to the public without registration or restriction (including without
limitation as to volume by each holder thereof) (the "Registration Period"),
which Registration Statement (including any amendments or supplements thereto
and prospectuses contained therein) shall not contain any untrue statement of a
material fact or omit to state a material fact required to be stated therein, or
necessary to make the statements therein not misleading.

          (b)  The Company shall prepare and file with the SEC such amendments
(including post-effective amendments) and supplements to the Registration
Statements and the prospectus used in connection with the Registration
Statements as may be necessary to keep the

                                      -5-
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Registration Statements effective at all times during the Registration Period,
and, during such period, comply with the provisions of the 1933 Act with respect
to the disposition of all Registrable Securities of the Company covered by the
Registration Statements until such time as all of such Registrable Securities
have been disposed of in accordance with the intended methods of disposition by
the seller or sellers thereof as set forth in the Registration Statements. In
the event that on any Trading Day (as defined below) (such Trading Day being a
"Registration Trigger Date") the number of shares available under a Registration
Statement filed pursuant to this Agreement is insufficient to cover all of the
Registrable Securities (based on the number of Common Shares then held by
Investors and the number of Warrant Shares issued or issuable upon exercise of
or otherwise pursuant to the Warrants, without giving effect to any limitations
on the Investors' ability to exercise the Warrants), the Company shall amend the
Registration Statement, or file a new Registration Statement (on the short form
available therefor, if applicable), or both, so as to cover the maximum number
of Registrable Securities so issued or issuable (without giving effect to any
limitations on exercise contained in the Warrants and assuming the maximum
number of Warrant Shares will be issued upon exercise of or otherwise pursuant
to the Warrants) as of the Registration Trigger Date, in each case, as soon as
practicable, but in any event within twenty (20) business days after the
necessity therefor arises (based on the market price of the Common Stock and
other relevant factors on which the Company reasonably elects to rely). The
Company shall use its best efforts to cause such amendment and/or new
Registration Statement to become effective as soon as practicable following the
filing thereof but in any event within one hundred twenty (120) days. The
provisions of Section 2(c) above shall be applicable with respect to the
Company's obligations under this Section 3(b).

          (c)  The Company shall furnish to each Investor whose Registrable
Securities are included in a Registration Statement and its legal counsel (i)
promptly after the same is prepared and publicly distributed, filed with the
SEC, or received by the Company, one copy of each Registration Statement and any
amendment thereto, each preliminary prospectus and prospectus and each amendment
or supplement thereto, and, in the case of the Registration Statement referred
to in Section 2(a), each letter written by or on behalf of the Company to the
SEC or the staff of the SEC, and each item of correspondence from the SEC or the
staff of the SEC, in each case relating to such Registration Statement (other
than any portion of any thereof which contains information for which the Company
has sought confidential treatment), and (ii) such number of copies of a
prospectus, including a preliminary prospectus, and all amendments and
supplements thereto and such other documents as such Investor may reasonably
request in order to facilitate the disposition of the Registrable Securities
owned by such Investor.  The Company will immediately notify each Investor by
facsimile of the effectiveness of each Registration Statement or any post-
effective amendment.  The Company will promptly respond to any and all comments
received from the SEC, with a view towards causing each Registration Statement
or any amendment thereto to be declared effective by the SEC as soon as
practicable and shall file an acceleration request as soon as practicable
following the resolution or clearance of all SEC comments or, if applicable,
following notification by the SEC that any such Registration Statement or any
amendment thereto will not be subject to review.

                                      -6-
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          (d)  The Company shall use reasonable efforts, to the extent required,
to (i) register and qualify the Registrable Securities covered by the
Registration Statements under such other securities or "blue sky" laws of such
jurisdictions in the United States as the Investors who hold a majority in
interest of the Registrable Securities being offered reasonably request, (ii)
prepare and file in those jurisdictions such amendments (including post-
effective amendments) and supplements to such registrations and qualifications
as may be necessary to maintain the effectiveness thereof during the
Registration Period, (iii) take such other actions as may be necessary to
maintain such registrations and qualifications in effect at all times during the
Registration Period, and (iv) take all other actions reasonably necessary or
advisable to qualify the Registrable Securities for sale in such jurisdictions;
provided, however, that the Company shall not be required in connection
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therewith or as a condition thereto to (a) qualify to do business in any
jurisdiction where it would not otherwise be required to qualify but for this
Section 3(d), (b) subject itself to general taxation in any such jurisdiction,
(c) file a general consent to service of process in any such jurisdiction, (d)
provide any undertakings that cause the Company undue expense or burden, or (e)
make any change in its charter or bylaws, which in each case the Board of
Directors of the Company determines to be contrary to the best interests of the
Company and its stockholders.

          (e)  In the event Investors who hold a majority-in-interest of the
Registrable Securities being offered in the offering  (with the approval of a
majority-in-interest of the Initial Investors) select underwriters for the
offering, the Company shall enter into and perform its obligations under an
underwriting agreement, in usual and customary form, including, without
limitation, customary indemnification and contribution obligations, with the
underwriters of such offering.

          (f)  As promptly as practicable after becoming aware of such event,
the Company shall notify each Investor of the happening of any event, of which
the Company has knowledge, as a result of which the prospectus included in any
Registration Statement, as then in effect, includes an untrue statement of a
material fact or omission to state a material fact required to be stated therein
or necessary to make the statements therein not misleading, and use its best
efforts promptly to prepare a supplement or amendment to any Registration
Statement to correct such untrue statement or omission, and deliver such number
of copies of such supplement or amendment to each Investor as such Investor may
reasonably request; provided that, for not more than twenty (20) consecutive
Trading Days (or a total of not more than forty (40) Trading Days in any twelve
(12) month period), the Company may delay the disclosure of material non-public
information concerning the Company (as well as prospectus or Registration
Statement updating) the disclosure of which at the time is not, in the good
faith opinion of the Company, in the best interests of the Company (an "Allowed
Delay"); provided, further, that the Company shall promptly (i) notify the
Investors in writing of the existence of (but in no event, without the prior
written consent of an Investor, shall the Company disclose to such Investor any
of the facts or circumstances regarding) material non-public information giving
rise to an Allowed Delay and (ii) advise the Investors in writing to cease all
sales under such Registration Statement until the end of the Allowed Delay. Upon
expiration of the Allowed Delay, the Company shall again be bound by the first
sentence of this Section 3(f) with respect to the information giving rise
thereto.

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          (g) The Company shall use its best efforts to prevent the issuance of
any stop order or other suspension of effectiveness of any Registration
Statement, and, if such an order is issued, to obtain the withdrawal of such
order at the earliest possible moment and to notify each Investor who holds
Registrable Securities being sold (or, in the event of an underwritten offering,
the managing underwriters) of the issuance of such order and the resolution
thereof.

          (h) The Company shall permit a single firm of counsel designated by
the Initial Investors to review such Registration Statement and all amendments
and supplements thereto (as well as all requests for acceleration of
effectiveness thereof) a reasonable period of time prior to their filing with
the SEC, and not file any document in a form to which such counsel reasonably
objects and will not request acceleration of such Registration Statement without
prior notice to such counsel.  The sections of such Registration Statement
covering information with respect to the Investors, the Investor's beneficial
ownership of securities of the Company or the Investors intended method of
disposition of Registrable Securities shall conform to the information provided
to the Company by each of the Investors.

          (i) The Company shall make generally available to its security holders
as soon as practicable, but not later than ninety (90) days after the close of
the period covered thereby, an earnings statement (in form complying with the
provisions of Rule 158 under the 1933 Act) covering a twelve-month period
beginning not later than the first day of the Company's fiscal quarter next
following the effective date of the Registration Statement.

          (j) At the request of any Investor, the Company shall furnish, on the
date that Registrable Securities are delivered to an underwriter, if any, for
sale in connection with any Registration Statement (i) an opinion, dated as of
such date, from counsel representing the Company for purposes of such
Registration Statement, in form, scope and substance as is customarily given in
an underwritten public offering, addressed to the underwriters, if any, and the
Investors and (ii) a letter, dated such date, from the Company's independent
certified public accountants in form and substance as is customarily given by
independent certified public accountants to underwriters in an underwritten
public offering, addressed to the underwriters, if any, and the Investors.

          (k) The Company shall make available for inspection by (i) any
Investor, (ii) any underwriter participating in any disposition pursuant to a
Registration Statement, (iii) one firm of attorneys and one firm of accountants
or other agents retained by the Initial Investors, (iv) one firm of attorneys
and one firm of accountants or other agents retained by all other Investors, and
(v) one firm of attorneys retained by all such underwriters (collectively, the
"Inspectors") all pertinent financial and other records, and pertinent corporate
documents and properties of the Company (collectively, the "Records"), as shall
be reasonably deemed necessary by each Inspector to enable each Inspector to
exercise its due diligence responsibility, and cause the Company's officers,
directors and employees to supply all information which any Inspector may
reasonably request for purposes of such due diligence; provided, however, that
                                                       --------  -------
each Inspector shall hold in confidence and shall not make any disclosure
(except to an Investor) of any Record or other information which the Company
determines in good faith to be confidential, and of which determination the
Inspectors are

                                      -8-
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so notified, unless (a) the disclosure of such Records is necessary to avoid or
correct a misstatement or omission in any Registration Statement, (b) the
release of such Records is ordered pursuant to a subpoena or other order from a
court or government body of competent jurisdiction, or (c) the information in
such Records has been made generally available to the public other than by
disclosure in violation of this or any other agreement. The Company shall not be
required to disclose any confidential information in such Records to any
Inspector until and unless such Inspector shall have entered into
confidentiality agreements (in form and substance satisfactory to the Company)
with the Company with respect thereto, substantially in the form of this Section
3(k). Each Investor agrees that it shall, upon learning that disclosure of such
Records is sought in or by a court or governmental body of competent
jurisdiction or through other means, give prompt notice to the Company and allow
the Company, at its expense, to undertake appropriate action to prevent
disclosure of, or to obtain a protective order for, the Records deemed
confidential. Nothing herein (or in any other confidentiality agreement between
the Company and any Investor) shall be deemed to limit the Investors' ability to
sell Registrable Securities in a manner which is otherwise consistent with
applicable laws and regulations.

          (l)  The Company shall hold in confidence and not make any disclosure
of information concerning an Investor provided to the Company unless (i)
disclosure of such information is necessary to comply with federal or state
securities laws, (ii) the disclosure of such information is necessary to avoid
or correct a misstatement or omission in any Registration Statement, (iii) the
release of such information is ordered pursuant to a subpoena or other order
from a court or governmental body of competent jurisdiction, or (iv) such
information has been made generally available to the public other than by
disclosure in violation of this or any other agreement.  The Company agrees that
it shall, upon learning that disclosure of such information concerning an
Investor is sought in or by a court or governmental body of competent
jurisdiction or through other means, give prompt notice to such Investor prior
to making such disclosure, and allow the Investor, at its expense, to undertake
appropriate action to prevent disclosure of, or to obtain a protective order
for, such information.

          (m)  The Company shall use its best efforts to (i) cause all the
Registrable Securities covered by the Registration Statement to be listed on
each national securities exchange on which securities of the same class or
series issued by the Company are then listed, if any, if the listing of such
Registrable Securities is then permitted under the rules of such exchange, or
(ii) to the extent the securities of the same class or series are not then
listed on a national securities exchange, secure the designation and quotation,
of all the Registrable Securities covered by the Registration Statement on the
Nasdaq or, if not eligible for the Nasdaq, on the Nasdaq SmallCap and, without
limiting the generality of the foregoing, to arrange for at least two market
makers to register with the National Association of Securities Dealers, Inc.
("NASD") as such with respect to such Registrable Securities.

          (n)  The Company shall provide a transfer agent and registrar, which
may be a single entity, for the Registrable Securities not later than the
effective date of the Registration Statement.

                                      -9-
<PAGE>

          (o)  The Company shall cooperate with the Investors who hold
Registrable Securities being offered and the managing underwriter or
underwriters, if any, to facilitate the timely preparation and delivery of
certificates (not bearing any restrictive legends) representing Registrable
Securities to be offered pursuant to such Registration Statement and enable such
certificates to be in such denominations or amounts, as the case may be, as the
managing underwriter or underwriters, if any, or the Investors may reasonably
request and registered in such names as the managing underwriter or
underwriters, if any, or the Investors may reasonably request, and, within three
(3) business days after a Registration Statement which includes Registrable
Securities is ordered effective by the SEC, the Company shall deliver, and shall
cause legal counsel selected by the Company to deliver, to the transfer agent
for the Registrable Securities (with copies to the Investors whose Registrable
Securities are included in such Registration Statement) an instruction in the
form attached hereto as Exhibit 1 and an opinion of such counsel in the form
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attached hereto as Exhibit 2.
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          (p)  At the request of the holders of a majority-in-interest of the
Registrable Securities, the Company shall prepare and file with the SEC such
amendments (including post-effective amendments) and supplements to a
Registration Statement and the prospectus used in connection with the
Registration Statement as may be necessary in order to change the plan of
distribution set forth in such Registration Statement.

          (q)  From and after the date of this Agreement, the Company shall not,
and shall not agree to, allow the holders of any securities of the Company to
include any of their securities in any Registration Statement under Section 2(a)
hereof or any amendment or supplement thereto under Section 3(b) hereof without
the consent of the holders of a majority-in-interest of the Registrable
Securities.  In addition, the Company shall not offer any securities for its own
account or the account of others in any Registration Statement under Section
2(a) hereof or any amendment or supplement thereto under Section 3(b) hereof
without the consent of the holders of a majority-in-interest of the Registrable
Securities.

          (r)  The Company shall take all other reasonable actions necessary to
expedite and facilitate disposition by the Investors of Registrable Securities
following their transfer pursuant to the Registration Statement.

     4.   OBLIGATIONS OF THE INVESTORS.  In connection with the registration of
          ----------------------------
the Registrable Securities, the Investors shall have the following obligations:

          (a)  It shall be a condition precedent to the obligations of the
Company to complete the registration pursuant to this Agreement with respect to
the Registrable Securities of a particular Investor that such Investor shall
furnish to the Company such information regarding itself, the Registrable
Securities held by it and the intended method of disposition of the Registrable
Securities held by it as shall be reasonably required to effect the registration
of such Registrable Securities and shall execute such documents in connection
with such registration as the Company may reasonably request.  At least three
(3) business days prior to the first anticipated filing date of

                                      -10-
<PAGE>

the Registration Statement, the Company shall notify each Investor of the
information the Company requires from each such Investor.

          (b)  Each Investor, by such Investor's acceptance of the Registrable
Securities, agrees to cooperate with the Company as reasonably requested by the
Company in connection with the preparation and filing of the Registration
Statements hereunder, unless such Investor has notified the Company in writing
of such Investor's election to exclude all of such Investor's Registrable
Securities from the Registration Statement.

          (c)  In the event Investors holding a majority-in-interest of the
Registrable Securities being registered (with the approval of the Initial
Investors) determine to engage the services of an underwriter, each Investor
agrees to enter into and perform such Investor's obligations under an
underwriting agreement, in usual and customary form, including, without
limitation, customary indemnification and contribution obligations, with the
managing underwriter of such offering and take such other actions as are
reasonably required in order to expedite or facilitate the disposition of the
Registrable Securities, unless such Investor has notified the Company in writing
of such Investor's election to exclude all of such Investor's Registrable
Securities from such Registration Statement.

          (d)  Each Investor agrees that, upon receipt of any notice from the
Company of the happening of any event of the kind described in Section 3(f) or
3(g), such Investor will immediately discontinue disposition of Registrable
Securities pursuant to the Registration Statement covering such Registrable
Securities until such Investor's receipt of the copies of the supplemented or
amended prospectus contemplated by Section 3(f) or 3(g) and, if so directed by
the Company, such Investor shall deliver to the Company (at the expense of the
Company) or destroy (and deliver to the Company a certificate of destruction)
all copies in such Investor's possession, of the prospectus covering such
Registrable Securities current at the time of receipt of such notice.

          (e)  No Investor may participate in any underwritten registration
hereunder unless such Investor (i) agrees to sell such Investor's Registrable
Securities on the basis provided in any underwriting arrangements in usual and
customary form entered into by the Company, (ii) completes and executes all
questionnaires, powers of attorney, indemnities, underwriting agreements and
other documents reasonably required under the terms of such underwriting
arrangements, and (iii) agrees to pay its pro rata share of all underwriting
discounts and commissions and any expenses in excess of those payable by the
Company pursuant to Section 5 below.

          (f)  The underwriters in connection with any firm commitment public
offering of the Company's common stock resulting in gross proceeds of at least
$20,000,000 led by at least one underwriter of nationally recognized reputation,
shall have the right to require that the Investors enter into an agreement
restricting the Investors from selling Common Stock pursuant to the Registration
Statement held by such Investors in any public sale for a period not to exceed
ninety (90) days following the closing of such underwriting, if they deem this
to be reasonably necessary to effect such underwritten public offering; provided
that all executive officers and directors shall have also

                                      -11-
<PAGE>

agreed to identical (or more restrictive) restrictions. The Investors shall be
subject to no more than one such restriction during the Registration Period.

     5.   EXPENSES OF REGISTRATION.  All reasonable expenses, other than
          ------------------------
underwriting discounts and commissions, incurred in connection with
registrations, filings or qualifications pursuant to Sections 2 and 3,
including, without limitation, all registration, listing and qualification fees,
printers and accounting fees, the fees and disbursements of counsel for the
Company, and subject to Section 4(f) of the Purchase Agreement, the reasonable
fees and disbursements of one counsel selected by the Initial Investors pursuant
to Sections 2(b) and 3(h) hereof shall be borne by the Company.

     6.   INDEMNIFICATION.  In the event any Registrable Securities are included
          ---------------
in a Registration Statement under this Agreement:

          (a) To the extent permitted by law, the Company will indemnify, hold
harmless and defend (i) each Investor who holds such Registrable Securities,
(ii) the directors, officers, partners, employees, agents and each person who
controls any Investor within the meaning of the 1933 Act or the Securities
Exchange Act of 1934, as amended (the "1934 Act"), if any, (iii) any underwriter
(as defined in the 1933 Act) for the Investors, and (iv) the directors,
officers, partners, employees and each person who controls any such underwriter
within the meaning of the 1933 Act or the 1934 Act, if any (each, an
"Indemnified Person"), against any joint or several losses, claims, damages,
liabilities or expenses (collectively, together with actions, proceedings or
inquiries by any regulatory or self-regulatory organization, whether commenced
or threatened, in respect thereof, "Claims") to which any of them may become
subject insofar as such Claims arise out of or are based upon: (i) any untrue
statement or alleged untrue statement of a material fact in a Registration
Statement or the omission or alleged omission to state therein a material fact
required to be stated or necessary to make the statements therein not
misleading; (ii) any untrue statement or alleged untrue statement of a material
fact contained in any preliminary prospectus if used prior to the effective date
of such Registration Statement, or contained in the final prospectus (as amended
or supplemented, if the Company files any amendment thereof or supplement
thereto with the SEC) or the omission or alleged omission to state therein any
material fact necessary to make the statements made therein, in light of the
circumstances under which the statements therein were made, not misleading; or
(iii) any violation or alleged violation by the Company of the 1933 Act, the
1934 Act, any other law, including, without limitation, any state securities
law, or any rule or regulation thereunder relating to the offer or sale of the
Registrable Securities (the matters in the foregoing clauses (i) through (iii)
being, collectively, "Violations").  Subject to the restrictions set forth in
Section 6(c) with respect to the number of legal counsel, the Company shall
reimburse the Indemnified Person, promptly as such expenses are incurred and are
due and payable, for any reasonable legal fees or other reasonable expenses
incurred by them in connection with investigating or defending any such Claim.
Notwithstanding anything to the contrary contained herein, the indemnification
agreement contained in this Section 6(a): (i) shall not apply to a Claim arising
out of or based upon a Violation which occurs in reliance upon and in conformity
with information furnished in writing to the Company by any Indemnified Person
or underwriter for such Indemnified

                                      -12-
<PAGE>

Person expressly for use in connection with the preparation of such Registration
Statement or any such amendment thereof or supplement thereto; (ii) shall not
apply to amounts paid in settlement of any Claim if such settlement is effected
without the prior written consent of the Company, which consent shall not be
unreasonably withheld; and (iii) with respect to any preliminary prospectus,
shall not inure to the benefit of any Indemnified Person if the untrue statement
or omission of material fact contained in the preliminary prospectus was
corrected on a timely basis in the prospectus, as then amended or supplemented,
such corrected prospectus was timely made available by the Company pursuant to
Section 3(c) hereof, and the Indemnified Person was promptly advised in writing
not to use the incorrect prospectus prior to the use giving rise to a Violation
and such Indemnified Person, notwithstanding such advice, used it. Such
indemnity shall remain in full force and effect regardless of any investigation
made by or on behalf of the Indemnified Person and shall survive the transfer of
the Registrable Securities by the Investors pursuant to Section 9.

          (b)  In connection with any Registration Statement in which an
Investor is participating, each such Investor agrees severally and not jointly
to indemnify, hold harmless and defend, to the same extent and in the same
manner set forth in Section 6(a), the Company, each of its directors, each of
its officers who signs the Registration Statement, each person, if any, who
controls the Company within the meaning of the 1933 Act or the 1934 Act, any
underwriter and any other stockholder selling securities pursuant to the
Registration Statement or any of its directors or officers or any person who
controls such stockholder or underwriter within the meaning of the 1933 Act or
the 1934 Act (collectively and together with an Indemnified Person, an
"Indemnified Party"), against any Claim to which any of them may become subject,
under the 1933 Act, the 1934 Act or otherwise, insofar as such Claim arises out
of or is based upon any Violation by such Investor, in each case to the extent
(and only to the extent) that such Violation occurs in reliance upon and in
conformity with written information furnished to the Company by such Investor
expressly for use in connection with such Registration Statement; and subject to
Section 6(c) such Investor will reimburse any legal or other expenses (promptly
as such expenses are incurred and are due and payable) reasonably incurred by
them in connection with investigating or defending any such Claim; provided,
                                                                   -------
however, that the indemnity agreement contained in this Section 6(b) shall not
-------
apply to amounts paid in settlement of any Claim if such settlement is effected
without the prior written consent of such Investor, which consent shall not be
unreasonably withheld; provided, further, however, that the Investor shall be
                       --------  -------  -------
liable under this Agreement (including this Section 6(b) and Section 7) for only
that amount as does not exceed the net proceeds to such Investor as a result of
the sale of Registrable Securities pursuant to such Registration Statement. Such
indemnity shall remain in full force and effect regardless of any investigation
made by or on behalf of such Indemnified Party and shall survive the transfer of
the Registrable Securities by the Investors pursuant to Section 9.
Notwithstanding anything to the contrary contained herein, the indemnification
agreement contained in this Section 6(b) with respect to any preliminary
prospectus shall not inure to the benefit of any Indemnified Party if the untrue
statement or omission of material fact contained in the preliminary prospectus
was corrected on a timely basis in the prospectus, as then amended or
supplemented.

                                      -13-
<PAGE>

          (c)  Promptly after receipt by an Indemnified Person or Indemnified
Party under this Section 6 of notice of the commencement of any action
(including any governmental action), such Indemnified Person or Indemnified
Party shall, if a Claim in respect thereof is to be made against any
indemnifying party under this Section 6, deliver to the indemnifying party a
written notice of the commencement thereof, and the indemnifying party shall
have the right to participate in, and, to the extent the indemnifying party so
desires, jointly with any other indemnifying party similarly noticed, to assume
control of the defense thereof with counsel mutually satisfactory to the
indemnifying party and the Indemnified Person or the Indemnified Party, as the
case may be; provided, however, that an Indemnified Person or Indemnified Party
             --------  -------
shall have the right to retain its own counsel with the fees and expenses to be
paid by the indemnifying party, if, in the reasonable opinion of counsel
retained by the indemnifying party, the representation by such counsel of the
Indemnified Person or Indemnified Party and the indemnifying party would be
inappropriate due to actual or potential differing interests between such
Indemnified Person or Indemnified Party and any other party represented by such
counsel in such proceeding.  The indemnifying party shall pay for only one
separate legal counsel for  the Indemnified Persons or the Indemnified Parties,
as applicable, and such legal counsel shall be selected by Investors holding a
majority-in-interest of the  Registrable Securities included in the Registration
Statement to which the Claim relates (with the approval of a majority-in-
interest of the Initial Investors), if the Investors are entitled to
indemnification hereunder, or the Company, if the Company is entitled to
indemnification hereunder, as applicable.  The failure to deliver written notice
to the indemnifying party within a reasonable time of the commencement of any
such action shall not relieve such indemnifying party of any liability to the
Indemnified Person or Indemnified Party under this Section 6, except to the
extent that the indemnifying party is actually prejudiced in its ability to
defend such action.  The indemnification required by this Section 6 shall be
made by periodic payments of the amount thereof during the course of the
investigation or defense, as such expense, loss, damage or liability is incurred
and is due and payable.

     7    CONTRIBUTION.  To the extent any indemnification by an indemnifying
          ------------
party is prohibited or limited by law, the indemnifying party agrees to make the
maximum contribution with respect to any amounts for which it would otherwise be
liable under Section 6 to the fullest extent permitted by law; provided,
                                                               --------
however, that (i) no contribution shall be made under circumstances where the
-------
maker would not have been liable for indemnification under the fault standards
set forth in Section 6, (ii) no seller of Registrable Securities guilty of
fraudulent misrepresentation (within the meaning of Section 11(f) of the 1933
Act) shall be entitled to contribution from any seller of Registrable Securities
who was not guilty of such fraudulent misrepresentation, and (iii) contribution
(together with any indemnification or other obligations under this Agreement) by
any seller of Registrable Securities shall be limited in amount to the net
amount of proceeds received by such seller from the sale of such Registrable
Securities.

     8    REPORTS UNDER THE 1934 ACT.  With a view to making available to the
          --------------------------
Investors the benefits of Rule 144 promulgated under the 1933 Act or any other
similar rule or regulation of the SEC that may at any time permit the investors
to sell securities of the Company to the public without registration ("Rule
144"), the Company agrees to:

                                      -14-
<PAGE>

          (a)  make and keep public information available, as those terms are
understood and defined in Rule 144;

          (b)  file with the SEC in a timely manner all reports and other
documents required of the Company under the 1933 Act and the 1934 Act so long as
the Company remains subject to such requirements (it being understood that
nothing herein shall limit the Company's obligations under Section 4(c) of the
Securities Purchase Agreement) and the filing of such reports and other
documents is required for the applicable provisions of Rule 144; and

          (c)  furnish to each Investor so long as such Investor owns
Registrable Securities, promptly upon request, (i) a written statement by the
Company that it has complied with the reporting requirements of Rule 144, the
1933 Act and the 1934 Act, (ii) a copy of the most recent annual or quarterly
report of the Company and such other reports and documents so filed by the
Company, and (iii) such other information as may be reasonably requested to
permit the Investors to sell such securities pursuant to Rule 144 without
registration.

     9    ASSIGNMENT OF REGISTRATION RIGHTS.  The rights under this Agreement
          ---------------------------------
shall be automatically assignable by the Investors to any transferee of all or
any portion of Registrable Securities if: (i) the Investor agrees in writing
with the transferee or assignee to assign such rights, and a copy of such
agreement is furnished to the Company within a reasonable time after such
assignment, (ii) the Company is, within a reasonable time after such transfer or
assignment, furnished with written notice of (a) the name and address of such
transferee or assignee, and (b) the securities with respect to which such
registration rights are being transferred or assigned, (iii) following such
transfer or assignment, the further disposition of such securities by the
transferee or assignee is restricted under the 1933 Act and applicable state
securities laws, (iv) at or before the time the Company receives the written
notice contemplated by clause (ii) of this sentence, the transferee or assignee
agrees in writing with the Company to be bound by all of the provisions
contained herein, (v) such transfer shall have been made in accordance with the
applicable requirements of the Securities Purchase Agreement, and (vi) such
transferee shall be an "accredited investor" as that term defined in Rule 501 of
Regulation D promulgated under the 1933 Act.

     10   AMENDMENT OF REGISTRATION RIGHTS.  Provisions of this Agreement may be
          --------------------------------
amended and the observance thereof may be waived (either generally or in a
particular instance and either retroactively or prospectively), only with
written consent of the Company, each of the Initial Investors (to the extent
such Initial Investor still owns Registrable Securities) and Investors who hold
a majority interest of the Registrable Securities.  Any amendment or waiver
effected in accordance with this Section 10 shall be binding upon each Investor
and the Company.

     11   MISCELLANEOUS.
          -------------

                                      -15-
<PAGE>

          (a)  A person or entity is deemed to be a holder of Registrable
Securities whenever such person or entity owns of record such Registrable
Securities. If the Company receives conflicting instructions, notices or
elections from two or more persons or entities with respect to the same
Registrable Securities, the Company shall act upon the basis of instructions,
notice or election received from the registered owner of such Registrable
Securities.

          (b)  Any notices required or permitted to be given under the terms
hereof shall be sent by certified or registered mail (return receipt requested)
or delivered personally or by courier (including a recognized overnight delivery
service) or by facsimile and shall be effective five days after being placed in
the mail, if mailed by regular United States mail, or upon receipt, if delivered
personally or by courier (including a recognized overnight delivery service) or
by facsimile, in each case addressed to a party.  The addresses for such
communications shall be:

               If to the Company:

               Aastrom Biosciences, Inc.
               24 Frank Lloyd Wright Drive
               P.O. Box 376
               Ann Arbor, Michigan 48106
               Attention:  R. Douglas Armstrong
                           President & Chief Executive Officer
               Facsimile:  734-930-5546

               With copy to:

               Gray Cary Ware & Freidenrich LLP
               4365 Executive Drive, Suite 1600
               San Diego, CA 92121-2189
               Attention:  Douglas J. Rein
               Facsimile:  858-677-1477

If to an Investor: to the address set forth immediately below such Investor's
name on the signature pages to the Securities Purchase Agreement.

          (c)  Failure of any party to exercise any right or remedy under this
Agreement or otherwise, or delay by a party in exercising such right or remedy,
shall not operate as a waiver thereof.

          (d)  This Agreement shall be governed by and construed in accordance
with the laws of the State of Michigan applicable to agreements made and to be
performed in the State of Michigan (without regard to principles of conflict of
laws).  Both parties irrevocably consent to the jurisdiction of the United
States federal courts and the state courts located in Delaware with respect to
any suit or proceeding based on or arising under this Agreement, the agreements
entered into in

                                      -16-
<PAGE>

connection herewith or the transactions contemplated hereby or thereby and
irrevocably agree that all claims in respect of such suit or proceeding may be
determined in such courts. Both parties irrevocably waive the defense of an
inconvenient forum to the maintenance of such suit or proceeding. Both parties
further agree that service of process upon a party mailed by first class mail
shall be deemed in every respect effective service of process upon the party in
any such suit or proceeding. Nothing herein shall affect either party's right to
serve process in any other manner permitted by law. Both parties agree that a
final non-appealable judgment in any such suit or proceeding shall be conclusive
and may be enforced in other jurisdictions by suit on such judgment or in any
other lawful manner.

          (e)  This Agreement, the Securities Purchase Agreement and the
Warrants (including all schedules and exhibits thereto) constitute the entire
agreement among the parties hereto with respect to the subject matter hereof and
thereof. There are no restrictions, promises, warranties or undertakings, other
than those set forth or referred to herein and therein. This Agreement, the
Securities Purchase Agreement and the Warrants supersede all prior agreements
and understandings among the parties hereto with respect to the subject matter
hereof and thereof.

          (f)  Subject to the requirements of Section 9 hereof, this Agreement
shall inure to the benefit of and be binding upon the successors and assigns of
each of the parties hereto.

          (g)  The headings in this Agreement are for convenience of reference
only and shall not limit or otherwise affect the meaning hereof.

          (h)  This Agreement may be executed in two or more counterparts, each
of which shall be deemed an original but all of which shall constitute one and
the same agreement.  This Agreement, once executed by a party, may be delivered
to the other party hereto by facsimile transmission of a copy of this Agreement
bearing the signature of the party so delivering this Agreement.

          (i)  Each party shall do and perform, or cause to be done and
performed, all such further acts and things, and shall execute and deliver all
such other agreements, certificates, instruments and documents, as the other
party may reasonably request in order to carry out the intent and accomplish the
purposes of this Agreement and the consummation of the transactions contemplated
hereby.

          (j)  Except as otherwise provided herein, all consents and other
determinations to be made by the Investors pursuant to this Agreement shall be
made by Investors holding a majority of the Registrable Securities, determined
as if the all of the Warrants then outstanding have been exercised for
Registrable Securities.

          (k)  The language used in this Agreement will be deemed to be the
language chosen by the parties to express their mutual intent, and no rules of
strict construction will be applied against any party.

                                      -17-
<PAGE>

          (l)  The Company acknowledges that a breach by it of its obligations
hereunder will cause irreparable harm to each Investor by vitiating the intent
and purpose of the transactions contemplated hereby.  Accordingly, the Company
acknowledges that the remedy at law for breach of its obligations hereunder will
be inadequate and agrees, in the event of a breach or threatened breach by the
Company of any of the provisions hereunder, that each Investor shall be
entitled, in addition to all other available remedies in law or in equity, to an
injunction or injunctions to prevent or cure breaches of the provisions of this
Agreement and to enforce specifically the terms and provisions hereof, without
the necessity of showing economic loss and without any bond or other security
being required.

          (m)  In the event that any provision of this Agreement is invalid or
unenforceable under any applicable statute or rule of law, then such provision
shall be deemed inoperative to the extent that it may conflict therewith and
shall be deemed modified to conform with such statute or rule of law.  Any
provision hereof which may prove invalid or unenforceable under any law shall
not affect the validity or enforceability of any other provision hereof.

          (n)  The initial number of Registrable Securities included in any
Registration Statement and each increase to the number of Registrable Securities
included therein shall be allocated pro rata among the Investors based on the
number of Registrable Securities held by each Investor at the time of such
establishment or increase, as the case may be.  In the event an Investor shall
sell or otherwise transfer any of such holder's Registrable Securities, each
transferee shall be allocated a pro rata portion of the number of Registrable
Securities included in a Registration Statement for such transferor.  Any shares
of Common Stock included in a Registration Statement and which remain allocated
to any person or entity which does not hold any Registrable Securities shall be
allocated to the remaining Investors, pro rata based on the number of shares of
Registrable Securities then held by such Investors.  For the avoidance of doubt,
the number of Registrable Securities held by an Investor shall be determined as
if all Warrants then outstanding and held by an Investor were exercised for
Registrable Securities.

                                      -18-
<PAGE>

     IN WITNESS WHEREOF, the Company and the undersigned Initial Investors have
caused this Registration Rights Agreement to be duly executed as of the date
first above written.


AASTROM BIOSCIENCES, INC.


By:  _________________________________________
     R. Douglas Armstrong, Ph.D.,
     President & Chief Executive Officer


RGC INTERNATIONAL INVESTORS, LDC

By:  Rose Glen Capital Management, L.P., Investment Manager
By:  RGC General Partner Corp., as General Partner

     By:  _______________________________________
          Wayne D. Bloch, Managing Director

                                      -19-