Exhibit 10.2


 


REGISTRATION RIGHTS AGREEMENT


 


THIS REGISTRATION RIGHTS
AGREEMENT (this “Agreement”), dated as of November 17, 2022, is entered into by and between PAXMEDICA, INC.,
a Delaware corporation (the “Company”), and LINCOLN PARK CAPITAL FUND, LLC, an Illinois limited liability company
(together with its permitted assigns, the “Investor”). Capitalized terms used herein and not otherwise defined
herein shall have the respective meanings set forth in the Purchase Agreement by and between the parties hereto, dated as of the date
hereof (as amended, restated, supplemented or otherwise modified from time to time, the “Purchase Agreement”).


 


WHEREAS:


 


A.            Upon the terms and subject to the conditions of the Purchase Agreement, (i) the Company has agreed to issue to the Investor,
and the Investor has agreed to purchase, up to Twenty Million Dollars ($20,000,000) of the Company's common stock, par value $0.0001
per share (the “Common Stock”), pursuant to the Purchase Agreement (such shares, the “Purchase Shares”),
and (ii) the Company has agreed to issue to the Investor such number of shares of Common Stock as is required pursuant to the Purchase
Agreement (the “Commitment Shares”); and


 


B.             To induce the Investor to enter into the 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
 “Securities Act”), and applicable state securities laws.


 


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


 


		1.	DEFINITIONS.



 


For purposes of this Agreement,
the following terms shall have the following meanings:


 


(a)           “Register,” “Registered,” and “Registration” refer to a registration effected
by preparing and filing one or more registration statements of the Company in compliance with the Securities Act and pursuant to Rule
415 under the Securities Act or any successor rule providing for offering securities on a continuous basis (“Rule 415”), and
the declaration or ordering of effectiveness of such registration statement(s) by the U.S. Securities and Exchange Commission (the “SEC”).


 


(b)           “Registrable Securities” means the Purchase Shares that may from time to time be issued or issuable to the Investor
upon purchases of the Available Amount (as defined in the Purchase Agreement) under the Purchase Agreement (without regard to any limitation
or restriction on purchases), the Commitment Shares issued or issuable to the Investor, and any Common Stock issued or issuable with respect
to the Purchase Shares, the Commitment Shares or the Purchase Agreement as a result of any stock split, stock dividend, recapitalization,
exchange or similar event, without regard to any limitation on purchases under the Purchase Agreement.


 






    


     


    

 


(c)           “Registration Statement” means one or more registration statements of the Company covering only the resale of
the Registrable Securities, including for the avoidance of doubt, any New Registration Statement (as defined below).


 


		2.	REGISTRATION.



 


(a)           Mandatory Registration. The Company shall as soon as
reasonably practicable, an in any event within twenty (20) Business Days of the date of this Agreement file with the SEC, an initial Registration
Statement on Form S-1 covering the maximum number of Registrable Securities as shall be permitted to be included thereon in accordance
with applicable SEC rules, regulations and interpretations so as to permit the resale of such Registrable Securities by the Investor under
Rule 415 under the Securities Act at then prevailing market prices (and not fixed prices), as mutually determined by both the Company
and the Investor in consultation with their respective legal counsel, subject to the aggregate number of authorized shares of the Company’s
Common Stock then available for issuance in its Charter and the Exchange Cap (each as defined in the Purchase Agreement), provided, however,
that the Company may delay filing or suspend the use of any Registration Statement if the Company determines, upon advice of legal counsel,
that in order for the registration statement to not contain a material misstatement or omission, an amendment thereto would be needed,
or if the Company’s Board of Directors, upon advice of legal counsel, reasonably believes that such filing or use could materially
affect a bona fide business or financing transaction of the Company or would require premature disclosure of information that could materially
adversely affect the Company. The initial Registration Statement shall register only the Registrable Securities. The Investor and its
counsel acknowledges that it will be identified in the initial Registration Statement as an underwriter within the meaning of 2(a)(11)
of the Securities Act and shall have a reasonable opportunity to review and comment upon such Registration Statement and any amendment
or supplement to such Registration Statement and any Prospectus (as defined below) prior to its filing with the SEC, and the Company shall
give due consideration to all such comments. The Investor shall furnish all information reasonably requested by the Company for inclusion
therein. The Company shall use its commercially reasonable efforts to have the Registration Statement and any amendment declared effective
by the SEC at the earliest practicable date. The Company shall use commercially reasonable efforts to keep the Registration Statement
effective pursuant to Rule 415 promulgated under the Securities Act and available for the resale by the Investor of all of the Registrable
Securities covered thereby at all times until the earlier of (i) the date on which the Investor shall have resold all the Registrable
Securities covered thereby and no Available Amount remains under the Purchase Agreement, (ii) all of the Registrable Securities may be
sold by the Investor without Registration pursuant to Rule 144 without limitation as to volume and manner of sale restrictions and no
Available Amount remains under the Purchase Agreement, (iii) six months after the termination of the Purchase Agreement, and (iv) one
year after the date on which no Available Amount remains under the Purchase Agreement (the “Registration Period”).
The 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, in light of the circumstances in which they were made, not misleading.


 


(b)           Rule 424 Prospectus.
The Company shall, as required by applicable securities regulations, from time to time file with the SEC, pursuant to Rule 424 promulgated
under the Securities Act, the prospectus and prospectus supplements (any such prospectus or prospectus supplement being referred to herein
as a “Prospectus”) to be used in connection with sales of the Registrable Securities under the Registration Statement
and shall provide that the Registration Statement on Form S-1 filed hereunder shall incorporate documents by reference (including by way
of forward incorporation by reference) to the maximum extent possible.1 Without limiting
the foregoing, so long as the Registration Statement is on Form S-1, at any time the Company files a Quarterly Report on Form 10-Q or
Current Report on Form 8-K containing material information (other than Current Reports on Form 8-K furnished under Item 2.02 or Item 7.01
of Form 8-K and exhibits filed on such form that are related to such items), the Company shall file a Prospectus to update the Registration
Statement to include such material information, and shall file a post-effective amendment to the Registration Statement at the time of
the filing by the Company of any Annual Report on Form 10-K. Except in the case of a Prospectus filed solely as required by the immediately
preceding sentence, the Investor and its counsel shall have a reasonable opportunity to review and comment upon any such Prospectus prior
to its filing with the SEC, and the Company shall give due consideration to all such comments. The Investor shall use its commercially
reasonable efforts to comment upon any such Prospectus within one (1) Business Day from the date the Investor receives the substantially
final pre-filing version of such Prospectus.


 


 





 






1 NOTE: Dechert
 – This language is meant to require the company to forward incorporate by reference once it is able to.


 






    


     


    

 


(b)           Sufficient Number of Shares Registered. In the event
the number of shares available under the Registration Statement at any time is insufficient to cover the Registrable Securities, the Company
shall, to the extent necessary and permissible, amend the Registration Statement or file a new registration statement (together with any
Prospectuses thereunder, a “New Registration Statement”), so as to cover all of such Registrable Securities (subject
to the limitations set forth in Section 2(a)) as soon as reasonably practicable, but in any event not later than ten (10) Business Days
after the necessity therefor arises, subject to any limits that may be imposed by the SEC pursuant to Rule 415. The Company shall
use its reasonable best efforts to have such amendment and/or New Registration Statement become effective as soon as reasonably practicable
following the filing thereof.    


 


(c)           Offering. If the SEC seeks to characterize any offering
pursuant to a Registration Statement filed pursuant to this Agreement as constituting an offering of securities that does not permit such
Registration Statement to become effective and be used by the Investor under Rule 415 at then-prevailing market prices (and not fixed
prices), or if after the filing of the initial Registration Statement with the SEC pursuant to Section 2(a), the Company is otherwise
required by the Staff or the SEC to reduce the number of Registrable Securities included in such initial Registration Statement, then
the Company shall reduce the number of Registrable Securities to be included in such initial Registration Statement (with the prior consent,
which shall not be unreasonably withheld, of the Investor and its legal counsel as to the specific Registrable Securities to be removed
therefrom) until such time as the SEC shall so permit such Registration Statement to become effective and be used as aforesaid. In the
event of any reduction in Registrable Securities pursuant to this paragraph, the Company shall file one or more New Registration Statements
until such time as all Registrable Securities have been included in Registration Statements that have been declared effective and the
Prospectuses contained therein are available for use by the Investor.


 


(d)           Form S-3. The Company shall use its commercially reasonable efforts to become (and thereafter remain) eligible to use Form
S-3 pursuant to General Instruction I.B.1 thereof to register the Registrable Securities for resale on August 25, 2023 (or as soon thereafter
as reasonably possible) (the first date on which the Company becomes so eligible pursuant to such General Instruction, the “Qualification
Date”). So long as Registrable Securities remain outstanding, promptly following the Qualification Date, but in no event more
than thirty (30) days after the Qualification Date (the “Qualification Deadline”), the Company shall file a registration
statement on Form S-3 covering the Registrable Securities (or a post-effective amendment on Form S-3 to a registration statement on Form
S-1) (a “Form S-3 Registration Statement,” which shall constitute a New Registration Statement) and shall use commercially
reasonable efforts to cause such Form S-3 Registration Statement to be declared effective as promptly as practicable thereafter; provided
that the Company shall maintain the effectiveness of the Registration Statement then in effect until such time as a Form S-3 Registration
Statement covering the Registrable Securities has been declared effective by the SEC.


 






    


     


    

 


		3.	RELATED OBLIGATIONS.



 


With respect to the Registration
Statement and whenever any Registrable Securities are to be Registered pursuant to Section 2, including on the initial Registration
Statement or on any New Registration Statement, the Company shall use its reasonable best efforts to effect the registration of the Registrable
Securities in accordance with the intended method of disposition thereof and, pursuant thereto, the Company shall have the following obligations:


 


(a)           Notifications. The Company will notify the Investor promptly
of the time when any subsequent amendment to the initial Registration Statement or any New Registration Statement, other than documents
incorporated by reference, has been filed with the SEC and/or has become effective or where a receipt has been issued therefor or any
subsequent supplement to a Prospectus has been filed and of any request by the SEC for any amendment or supplement to the Registration
Statement, any New Registration Statement or any Prospectus or for additional information.


 


(b)           Amendments. The Company will prepare and file with the SEC
such amendments or supplements to the initial Registration Statement, any New Registration Statement and any Prospectus, as applicable,
as may be necessary to keep the Registration Statement or any New Registration Statement effective at all times during the Registration
Period, and, during such period, comply with the provisions of the Securities Act in connection with the offer, issuance and sale of the
Registrable Securities.


 


(c)           Investor Review. The Company will not file any amendment
or supplement to the Registration Statement, any New Registration Statement or any Prospectus, other than documents incorporated by reference,
relating to the Investor, the Registrable Securities or the transactions contemplated hereby unless (A) the Investor shall have been advised
and afforded the opportunity to review and comment thereon at least two (2) Business Days prior to filing with the SEC, (B) the Company
shall have given due consideration to any comments thereon received from the Investor or its counsel, and (C) the Investor has not reasonably
objected thereto (provided, however, that the failure of the Investor to make such objection shall not relieve the Company of any obligation
or liability hereunder), and the Company will furnish to the Investor at the time of filing thereof a copy of any document that upon filing
is deemed to be incorporated by reference into the Registration Statement or any Prospectus, except for those documents available via
EDGAR.


 


(d)           Form
S-3. Following the Company’s filing of the Form S-3 Registration Statement in accordance with Section 2(d), the Company will
cause each amendment or supplement to the Prospectus, other than documents incorporated by reference, to be filed with the SEC as required
pursuant to the rules of Form S-3. 


 


(e)           Copies Available.  The
Company shall furnish to the Investor, (i) promptly after the same is prepared and filed with the SEC, at least one copy of such
Registration Statement and any amendment(s) thereto, including financial statements and schedules, all documents incorporated therein
by reference and all exhibits, (ii) upon the effectiveness of any Registration Statement, a copy of the Prospectus included in such
Registration Statement and all amendments and supplements thereto (or such other number of copies as the Investor may reasonably request)
and (iii) such other documents, including copies of any preliminary or final Prospectus, as the Investor may reasonably request from
time to time in order to facilitate the disposition of the Registrable Securities owned by the Investor. For the avoidance of doubt, any
filing available to the Investor via the SEC’s live EDGAR system shall be deemed “furnished to the Investor” hereunder.


 


(f)            Qualification. The Company shall take all such action, if
any, as is reasonably necessary in order to obtain an exemption for or to qualify (i) the issuance of the Commitment Shares and the sale
of the Purchase Shares to the Investor under this Agreement and (ii) any subsequent resale of all Commitment Shares and all Purchase Shares
by the Investor, in each case, under applicable securities or “Blue Sky” laws of the states of the United States in such states
as is reasonably requested by the Investor during the Registration Period, and shall provide evidence of any such action so taken to the
Investor. During the Registration Period, the Company shall promptly notify the Investor of the receipt by the Company of any notification
with respect to the suspension of the registration or qualification of any of the Registrable Securities for sale under the securities
or “blue sky” laws of any jurisdiction in the United States or its receipt of actual notice of the initiation or threat of
any proceeding for such purpose.


 






    


     


    

 


(g)           Notification of Stop Orders; Material Changes. The Company
shall advise the Investor promptly (but in no event later than 24 hours) and shall confirm such advice in writing, in each case: (i) of
the Company’s receipt of notice of any request by the SEC or any other federal or state governmental authority for amendment of
or a supplement to the Registration Statement or any Prospectus or for any additional information; (ii) of the Company’s receipt
of notice of the issuance by the SEC or any other federal or state governmental authority of any stop order suspending the effectiveness
of the Registration Statement or prohibiting or suspending the use of any Prospectus, or any New Registration Statement, or of the Company’s
receipt of any notification of the suspension of qualification of the Registrable Securities for offering or sale in any jurisdiction
or the initiation or contemplated initiation of any proceeding for such purpose; and (iii) of the Company becoming aware of the happening
of any event, which makes any statement of a material fact made in the Registration Statement or any Prospectus untrue or which requires
the making of any additions to or changes to the statements then made in the Registration Statement or any Prospectus in order to state
a material fact required by the Securities Act to be stated therein or necessary in order to make the statements then made therein (in
the case of any Prospectus, in light of the circumstances under which they were made) not misleading, or of the necessity to amend the
Registration Statement or any Prospectus to comply with the Securities Act or any other law. The Company shall not be required to disclose
to the Investor the substance or specific reasons of any of the events set forth in clause (i) through (iii) of the immediately preceding
sentence, but rather, shall only be required to disclose that the event has occurred. If at any time the SEC, or any other federal or
state governmental authority shall issue any stop order suspending the effectiveness of the Registration Statement or prohibiting or suspending
the use of any Prospectus, the Company shall use its reasonable best efforts to obtain the withdrawal of such order at the earliest practicable
time. The Company shall furnish to the Investor, without charge and upon request, a copy of any correspondence from the SEC or the staff
of the SEC, or any other federal or state governmental authority to the Company or its representatives relating to the Registration Statement,
any New Registration Statement or any Prospectus as the case may be. The Company shall not deliver to the Investor any Regular Purchase
Notice, Accelerated Purchase Notice or Additional Accelerated Purchase Notice, and the Investor shall not be obligated to purchase any
shares of Common Stock under the Purchase Agreement, during the continuation or pendency of any of the foregoing events. If at any time
the SEC shall issue any stop order suspending the effectiveness of the Registration Statement or prohibiting or suspending the use of
any Prospectus, the Company shall use its reasonable best efforts to obtain the withdrawal of such order at the earliest practicable time.
The Company shall furnish to the Investor, without charge and upon request, a copy of any correspondence from the SEC or the staff of
the SEC to the Company or its representatives relating to the Registration Statement or any Prospectus, as the case may be.


 


(h)           Listing on the Principal Market. The Company shall promptly
secure the listing, or conditional listing as applicable, of all of the Purchase Shares and Commitment Shares to be issued to the Investor
hereunder on the Principal Market (subject to standard listing conditions, if any, for transactions of this nature, official notice of
issuance and the Exchange Cap) and upon each other national securities exchange, automated quotation system or trading market, if any,
upon which the Common Stock are then listed, quoted or traded, and shall maintain, so long as any Common Stock shall be so listed, such
listing of all such Registrable Securities from time to time issuable hereunder. The Company shall use its commercially reasonable best
efforts to maintain the listing of the Common Stock on the Principal Market and shall comply in all respects with the Company’s
reporting, filing and other obligations under the bylaws or rules and regulations of the Principal Market. The Company shall not take
any action that would reasonably be expected to result in the delisting or suspension of the Common Stock on the Principal Market. The
Company shall promptly, and in no event later than the following Business Day, provide to the Investor copies of any notices it receives
from any Person regarding the continued eligibility of the Common Stock for listing on the Principal Market; provided, however, that the
Company shall not provide the Investor copies of any such notice that the Company reasonably believes constitutes material non-public
information and that the Company would not be required to publicly disclose such notice in any report or statement filed with the SEC
under the Exchange Act (including on Form 8-K) or the Securities Act. The Company shall pay all fees and expenses in connection with satisfying
its obligations under this Section 3(h).


 






    


     


    

 


(i)            Delivery of Shares. The Company shall cooperate with the
Investor to facilitate the timely preparation and delivery of DWAC Shares (not bearing any restrictive legend) representing the Registrable
Securities to be offered pursuant to the Registration Statement or any New Registration Statement and enable such DWAC Shares to be in
such denominations or amounts as the Investor may reasonably request and registered in such names as the Investor may request.


 


(j)            Transfer Agent. The Company shall at all times maintain
the services of the Transfer Agent with respect to its Common Stock.


 


(k)           Approvals. The Company shall use its reasonable best efforts
to cause the Registrable Securities covered by any Registration Statement to be Registered with or approved by such other governmental
agencies or authorities in the United States as may be necessary to consummate the disposition of such Registrable Securities.


 


(l)            Post-Effective
Amendments. If reasonably requested in writing by the Investor, the Company shall (i) as soon as practicable after receipt of written
notice from the Investor, incorporate in a prospectus supplement or post-effective amendment such information as the Investor reasonably
requests be included therein relating to the sale and distribution of Registrable Securities, including, without limitation, information
with respect to the number of Registrable Securities being sold, the purchase price being paid therefor and any other terms of the offering
of the Registrable Securities; (ii) make all required filings of such prospectus supplement or post-effective amendment as soon as practicable
upon notification of the matters to be incorporated in such prospectus supplement or post-effective amendment; and (iii) supplement or
make amendments to any Registration Statement or New Registration Statement.


 


(m)          Confirmation
of Effectiveness. Within one (2) Business Days after any Registration Statement which includes the Registrable Securities is
ordered effective by the SEC, the Company shall deliver, and shall cause legal counsel for the Company to deliver, to the Transfer Agent
for such Registrable Securities (with copies to the Investor) (i) confirmation that such Registration Statement has been declared effective
by the SEC in the form attached hereto as Exhibit A, or such other form acceptable to the Company’s Transfer Agent and (ii)
the Commencement Irrevocable Transfer Agent Instructions in the form agreed to prior to the date hereof. Thereafter,
if requested in writing by the Investor at any time, the Company shall require its counsel to deliver to the Investor a written confirmation
whether the Registration Statement has been declared effective under the Securities Act and if, to its knowledge, whether a stop order
suspending the effectiveness of the Registration Statement has been issued or threatened by the SEC.


 


(n)           Further Assurances. The Company agrees to take all other
reasonable actions as necessary and reasonably requested in writing by the Investor to expedite and facilitate disposition by the Investor
of Registrable Securities pursuant to any Registration Statement.


 






    


     


    

 


(o)           Suspension of Sales. The Investor agrees that, upon receipt
of any notice from the Company of the existence of any suspension or stop order as set forth in Section 3(f) or 3(g), the
Investor will immediately discontinue disposition of Registrable Securities pursuant to any Registration Statement covering such Registrable
Securities until the Investor's receipt of the copies of a notice regarding the resolution or withdrawal of the suspension or stop order
as contemplated by Section 3(f) or 3(g). Notwithstanding anything to the contrary, the Company shall cause its transfer
agent to promptly deliver to the Investor DWAC Shares without any restrictive legend in accordance with the terms of the Purchase Agreement
in connection with any sale of Registrable Securities with respect to which the Investor has entered into a contract for sale prior to
the Investor’s receipt of a notice from the Company of the happening of any event of the kind described in Section 3(f) or
3(g) and for which the Investor has not yet settled.


 


 


		4.	OBLIGATIONS OF THE INVESTOR.



 


(a)           Investor Information. The Investor has furnished to the
Company in Exhibit B hereto such information regarding itself, the Registrable Securities held by it, and the intended method of
disposition thereof, including any arrangement between the Investor and any other Person relating to the sale or distribution of the Securities,
as 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. The Company shall notify the Investor in writing of any other information the Company reasonably
requires from the Investor in connection with any Registration Statement hereunder. The Investor will as promptly as practicable notify
the Company of any material change in the information set forth in Exhibit B, other than changes in its ownership of Common Stock.


 


(b)           Investor Cooperation. The Investor agrees to cooperate with
the Company as reasonably requested by the Company in connection with the preparation and filing of any amendments and supplements to
any Registration Statement or New Registration Statement hereunder.


 


		5.	EXPENSES OF REGISTRATION.



 


All reasonable expenses of the
Company, other than sales or brokerage commissions and fees and disbursements of counsel for, and other expenses of, the Investor, incurred
in connection with registrations, filings or qualifications pursuant to Sections 2 and 3, including, without limitation,
all registration, listing and qualifications fees, printers and accounting fees, and fees and disbursements of counsel for the Company,
shall be paid by the Company.


 


		6.	INDEMNIFICATION.



 


(a)           To the fullest extent permitted by law, the Company will, and hereby does, indemnify, hold harmless and defend the Investor, each
Person, if any, who controls the Investor, the members, the directors, officers, partners, equityholders, employees, members, managers,
agents and representatives of the Investor and each Person, if any, who controls the Investor within the meaning of the Securities Act
or the Exchange Act (each, an “Indemnified Person”), against any losses, claims, damages, liabilities, judgments, fines,
penalties, charges, costs, reasonable attorneys’ fees, amounts paid in settlement (with the consent of the Company, such consent
not to be unreasonably withheld) or reasonable expenses, (collectively, “Claims”) reasonably incurred in investigating,
preparing or defending any action, claim, suit, inquiry, proceeding, investigation or appeal taken from the foregoing by or before any
court or governmental, administrative or other regulatory agency or body or the SEC, whether pending or threatened, whether or not an
indemnified party is or may be a party thereto (“Indemnified Damages”), to which any of them may become subject insofar
as such Claims (or actions or proceedings, whether commenced or threatened, in respect thereof) arise out of or are based upon: (i) any
untrue statement or alleged untrue statement of a material fact in the initial Registration Statement, any New Registration Statement
or any post-effective amendment thereto or in any filing made in connection with the qualification of the offering under the securities
or other “blue sky” laws of any jurisdiction in which Registrable Securities are offered (“Blue Sky Filing”),
or the omission or alleged omission to state a material fact required to be stated therein or necessary to make the statements therein
not misleading, (ii) any untrue statement or alleged untrue statement of a material fact contained in the Prospectus 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, (iii) any violation or alleged violation by the Company of the Securities Act,
the Exchange 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 pursuant to the initial Registration Statement or any New Registration Statement or
(iv) any violation by the Company of this Agreement (the matters in the foregoing clauses (i) through (iv) being, collectively, “Violations”). The
Company shall reimburse each Indemnified Person promptly as such expenses are incurred and are due and payable, for any reasonable out-of-pocket
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): (A) shall not apply to
a Claim by an Indemnified Person 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 the Investor or such Indemnified Person expressly for use in connection with the preparation of
the initial Registration Statement, any New Registration Statement, any Prospectus, or any such amendment thereof or supplement thereto,
if the foregoing was timely made available by the Company; (B) with respect to use by an Indemnified Person of any superseded Prospectus,
shall not inure to the benefit of any such Person from whom the Person asserting any such Claim purchased the Registrable Securities that
are the subject thereof (or to the benefit of any other Indemnified Person) if the untrue statement or omission of material fact contained
in the superseded Prospectus was corrected in the revised Prospectus, as then amended or supplemented, if such revised Prospectus was
timely made available by the Company pursuant to Section 3(c) or Section 3(d), 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 (C) 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. 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 Investor pursuant to Section 9.


 






    


     


    

 


(b)           In connection with the initial Registration Statement, any New Registration Statement or any Prospectus, the Investor agrees to
indemnify, hold harmless and defend, to the same extent and in the same manner as is set forth in Section 6(a), the Company, each
of its directors, each of its officers who signed the initial Registration Statement or signs any New Registration Statement, and each
Person, if any, who controls the Company within the meaning of the Securities Act or the Exchange Act (collectively and together with
an Indemnified Person, an “Indemnified Party”), against any Claim or Indemnified Damages to which any of them may become
subject, under the Securities Act, the Exchange Act or otherwise, insofar as such Claim or Indemnified Damages arise out of or are based
upon any Violation, in each case to the extent, and only to the extent, that such Violation occurs in reliance upon and in conformity
with written information about the Investor set forth on Exhibit B attached hereto or updated from time to time in writing by the
Investor and furnished to the Company by the Investor expressly for inclusion in the initial Registration Statement, any New Registration
Statement or any Prospectus; and, subject to Section 6(d), the Investor will reimburse any reasonable out-of-pocket legal or other
expenses 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) and the agreement with respect to contribution contained in Section 7
shall not apply to amounts paid in settlement of any Claim if such settlement is effected without the prior written consent of the Investor,
which consent shall not be unreasonably withheld; provided, further, however, that the Investor shall be liable under
this Section 6(b) for only that amount of a Claim or Indemnified Damages as does not exceed the net proceeds to the 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 Investor pursuant to Section 9.


 


(c)           Promptly after receipt by an Indemnified Person or Indemnified Party under this Section 6 of notice of the commencement
of any action or proceeding (including any governmental action or proceeding) involving a Claim, 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 Indemnified Party or Indemnified Person shall cooperate with the indemnifying party in connection with any negotiation
or defense of any such action or claim by the indemnifying party and shall furnish to the indemnifying party all information reasonably
available to the Indemnified Party or Indemnified Person which relates to such action or claim. The indemnifying party shall keep
the Indemnified Party or Indemnified Person fully apprised as to the status of the defense or any settlement negotiations with respect
thereto. No indemnifying party shall be liable for any settlement of any action, claim or proceeding effected without its written
consent, provided, however, that the indemnifying party shall not unreasonably withhold, delay or condition its consent. No indemnifying
party shall, without the consent of the Indemnified Party or Indemnified Person, consent to entry of any judgment or enter into any settlement
or other compromise which does not include as an unconditional term thereof the giving by the claimant or plaintiff to such Indemnified
Party or Indemnified Person of a release from all liability in respect to such claim or litigation or which includes any admission as
to fault, culpability or failure to act on the part of such Indemnified Party or Indemnified Person. Following indemnification as
provided for hereunder, the indemnifying party shall be subrogated to all rights of the Indemnified Party or Indemnified Person with respect
to all third parties, firms or corporations relating to the matter for which indemnification has been made. 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 prejudiced in its ability to defend such action.


 


(d)           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 and when bills are received or Indemnified Damages are incurred. Any Person receiving a payment
pursuant to this Section 6 which person is later determined to not be entitled to such payment shall return such payment to the
person making it.


 


(e)           The indemnity agreements contained herein shall be in addition to (i) any cause of action or similar right (at law or in equity)
of the Indemnified Party or Indemnified Person against the indemnifying party or others, and (ii) any liabilities the indemnifying party
may be subject to pursuant to the law.


 






    


     


    

 


		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 seller of Registrable Securities guilty of fraudulent misrepresentation (within the meaning of Section 11(f) of the Securities
Act) shall be entitled to contribution from any seller of Registrable Securities who was not guilty of fraudulent misrepresentation; and
(ii) contribution 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 AND DISCLOSURE UNDER THE SECURITIES ACT.



 


With a view to making
available to the Investor the benefits of Rule 144 promulgated under the Securities Act or any other similar rule or regulation of the
SEC that may at any time permit the Investor to sell securities of the Company to the public without registration (“Rule 144”),
the Company agrees, at the Company’s sole expense, to:


 


(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 Securities Act and the Exchange Act so long as the
Company remains subject to such requirements and the filing of such reports and other documents is required for the applicable provisions
of Rule 144;


 


(c) furnish to the Investor
so long as the Investor owns Registrable Securities, promptly upon written reasonable request, (i) a written statement by the Company
that it has complied with the reporting and or disclosure provisions of Rule 144, the Securities Act and the Exchange 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 Investor to sell such securities pursuant to Rule 144 without registration;
and


 


(d) take such additional
action as is reasonably requested by the Investor to enable the Investor to sell the Registrable Securities pursuant to Rule 144, including,
delivering all such legal opinions, consents, certificates, resolutions and instructions to the Company’s Transfer Agent as may
be reasonably requested in writing from time to time by the Investor and otherwise fully cooperate with Investor and Investor’s
broker to effect such sale of securities pursuant to Rule 144; provided, however, the Investor and its broker shall cooperate with the
Company and its counsel and provide the necessary certificates, instructions and other documents reasonably requested by the Company or
its counsel in order to enable the Investor to sell the Registrable Securities pursuant to Rule 144.


 


The Company agrees that
damages may be an inadequate remedy for any breach of the terms and provisions of this Section 8 and that Investor shall, whether
or not it is pursuing any remedies at law, be entitled to seek equitable relief in the form of a preliminary or permanent injunction,
without the necessity of showing economic loss and without having to post any bond or other security, upon any breach or threatened breach
of any such terms or provisions.


 






    


     


    

 


		9.	ASSIGNMENT OF REGISTRATION RIGHTS.



 


The Company shall not assign
this Agreement or any rights or obligations hereunder without the prior written consent of the Investor; provided, however, that any transaction,
whether by merger, reorganization, restructuring, consolidation, financing or otherwise, whereby the Company remains the surviving entity
immediately after such transaction shall not be deemed an assignment. The Investor may not assign its rights under this Agreement
without the prior written consent of the Company, other than to an affiliate of the Investor controlled by Jonathan Cope or Josh Scheinfeld,
in which case the assignee must agree in writing to be bound by the terms and conditions of this Agreement.


 


		10.	AMENDMENT OF REGISTRATION RIGHTS.



 


No provision of this Agreement
may be amended or waived by the parties from and after the date that is one (1) Business Day immediately preceding the initial filing
of the Registration Statement with the SEC. Subject to the immediately preceding sentence, no provision of this Agreement may be (i) amended
other than by a written instrument signed by both parties hereto or (ii) waived other than in a written instrument signed by the party
against whom enforcement of such waiver is sought. 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.


 


		11.	MISCELLANEOUS.



 


(a)           Notices. Any notices, consents or other communications required
or permitted to be given under the terms of this Agreement must be in writing and will be deemed to have been delivered: (i) upon receipt
when delivered personally; (ii) upon receipt when sent by email (provided confirmation of transmission is mechanically or electronically
generated and kept on file by the sending party); or (iii) one Business Day after deposit with a nationally recognized overnight delivery
service, in each case properly addressed to the party to receive the same. The addresses for such communications shall be:


 


PaxMedica, Inc.


303 South Broadway, Suite 125


Tarrytown, NY 10591


E-mail: hweisman@paxmedica.com


Attention: Howard Weisman


 


With a copy to (which shall not constitute
notice or service of process):


 


Dechert LLP


1095 Avenue of the Americas


New York, New York 10036


Telephone: (212) 698-3500


Email: anna.tomczyk@dehert.com; david.rosenthal@dechert.com


Attention: Anna Tomczyk; David Rosenthal


 


If to the Investor:


 


Lincoln Park Capital Fund, LLC


440 North Wells, Suite 410


Chicago, IL 60654


 


With a copy to (which shall
not constitute notice or service of process):


 


Katten Muchin Rosenman LLP


525 W. Monroe St.


Chicago, IL 60661


	Telephone:	(312) 902-5493
	E-mail:	mark.wood@katten.com
	Attention:	Mark D. Wood, Esq.




 






    


     


    

 


If to the Transfer Agent:


 


Computershare Trust Company, National Association


150 Royall Street


Canton, MA 02021


	Email:	ginger.lawrence@computershare.com
	Attention:	Ginger Lawrence




 


or at such other address, email address and/or
facsimile number and/or to the attention of such other Person as the recipient party has specified by written notice given to each other
party three (3) Business Days prior to the effectiveness of such change. Written confirmation of receipt (A) given by the recipient of
such notice, consent or other communication, (B) mechanically or electronically generated by the sender’s facsimile machine or email
account containing the time, date, and recipient facsimile number or email address, as applicable, or (C) provided by a nationally recognized
overnight delivery service, shall be rebuttable evidence of personal service, receipt by facsimile or email or deposit with a nationally
recognized overnight delivery service in accordance with clause (i), (ii) or (iii) above, respectively.


 


(b)           No Waiver No failure or delay in the exercise of any power,
right or privilege hereunder shall operate as a waiver thereof, nor shall any single or partial exercise of any such power, right or privilege
preclude other or further exercise thereof or of any other right, power or privilege.


 


(c)           Governing Law. All questions concerning the construction,
validity, enforcement and interpretation of this Agreement shall be governed by the internal laws of the State of New York, without giving
effect to any choice of law or conflict of law provision or rule (whether of the State of New York or any other jurisdictions) that would
cause the application of the laws of any jurisdictions other than the State of New York. Each party hereby irrevocably submits to
the exclusive jurisdiction of and venue in the U.S. District Court for the Southern District of New York or, if that court does not have
subject matter jurisdiction, in any state court located in the City and County of New York for the adjudication of any dispute hereunder
or in connection herewith or with any transaction contemplated hereby or discussed herein, and hereby irrevocably waives, and agrees not
to assert in any suit, action or proceeding, any claim that it is not personally subject to the jurisdiction of any such court, that such
suit, action or proceeding is brought in an inconvenient forum or that the venue of such suit, action or proceeding is improper. Each
party hereby irrevocably waives personal service of process and consents to process being served in any such suit, action or proceeding
by mailing a copy thereof to such party at the address for such notices to it under this Agreement and agrees that such service shall
constitute good and sufficient service of process and notice thereof. Nothing contained herein shall be deemed to limit in any way
any right to serve process in any manner permitted by law. If any provision of this Agreement shall be invalid or unenforceable in
any jurisdiction, such invalidity or unenforceability shall not affect the validity or enforceability of the remainder of this Agreement
in that jurisdiction or the validity or enforceability of any provision of this Agreement in any other jurisdiction. EACH PARTY
HEREBY IRREVOCABLY WAIVES ANY RIGHT IT MAY HAVE, AND AGREES NOT TO REQUEST, A JURY TRIAL FOR THE ADJUDICATION OF ANY DISPUTE HEREUNDER
OR IN CONNECTION HEREWITH OR ARISING OUT OF THIS AGREEMENT OR ANY TRANSACTION CONTEMPLATED HEREBY.


 






    


     


    

 


(d)           Integration. This Agreement, the Purchase Agreement
and the other Transaction Documents constitute the entire understanding 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 Purchase Agreement and the other Transaction Documents supersede all other prior oral or written
agreements between the Investor, the Company, their affiliates and persons acting on their behalf with respect to the subject matter hereof
and thereof.


 


(e)           No Third Party Benefits. Subject to the requirements of
Section 8, this Agreement shall inure to the benefit of and be binding upon the permitted successors and assigns of each of the
parties hereto.


 


(f)            Headings. The headings in this Agreement are for convenience
of reference and shall not form part of, or affect the interpretation of, this Agreement.


 


(g)           Counterparts. This Agreement may be executed in two or more
identical counterparts, all of which shall be considered one and the same agreement and shall become effective when counterparts have
been signed by each party and delivered to the other party. Signatures transmitted by Adobe Sign, DocuSign, RightSignature, electronic
mail, or other digital or electronic means will be treated as original signatures for all purposes hereunder, each of which shall be of
the same legal effect, validity, and enforceability as a manually executed signature.


 


(h)           Further Assurances. 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.


 


(i)            No Strict Construction. 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. For the purposes of this Agreement, except
to the extent that the context otherwise requires: (i) when a reference is made in this Agreement to an Article, Section, Exhibit or Schedule,
such reference is to an Article or Section of, or an Exhibit or Schedule to, this Agreement unless otherwise indicated; (ii) headings
for this Agreement are for reference purposes only and do not affect in any way the meaning or interpretation of this Agreement; (iii)
whenever the words “include,” “includes” or “including” (or similar terms) are used in this Agreement,
they are deemed to be followed by the words “without limitation”; (iv) the words “hereof,” “herein”
and “hereunder” and words of similar import, when used in this Agreement, refer to this Agreement as a whole and not to any
particular provision of this Agreement; (v) the definitions contained in this Agreement are applicable to the singular as well as the
plural forms of such terms; (vi) references to a Person are also to its permitted successors and assigns; and (vii) the use of “or”
is not intended to be exclusive unless expressly indicated otherwise.


 


(j)            No Third Party Beneficiaries. This Agreement is intended for the benefit of the parties hereto and their respective permitted
successors and assigns, and is not for the benefit of, nor may any provision hereof be enforced by, any other Person.


 


 


[Signature Page Follows]


 






    


     


    

 





IN WITNESS WHEREOF, the parties have caused
this Registration Rights Agreement to be duly executed as of date first written above.


 


 


	 	THE COMPANY:
	 	 
	 	PAXMEDICA, INC.
	 	 
	 	 
	 	By:	 /s/ Stephen D. Sheldon
	 	Name: Stephen D. Sheldon
	 	Title: Chief Financial Officer
	 	 
	 	 
	 	THE INVESTOR:
	 	 
	 	LINCOLN PARK CAPITAL FUND, LLC
	 	BY: LINCOLN PARK CAPITAL, LLC
	 	BY: ROCKLEDGE CAPITAL CORPORATION
	 	 
	 	 
	 	By:	/s/ Joshua Scheinfeld
	 	Name: Joshua Scheinfeld
	 	Title: President