Document:

EX-4.18

 Exhibit 4.18 

THE REGISTERED HOLDER OF THIS PURCHASE WARRANT BY ITS ACCEPTANCE HEREOF, AGREES THAT IT WILL NOT SELL, TRANSFER OR ASSIGN THIS PURCHASE WARRANT EXCEPT AS
HEREIN PROVIDED AND THE REGISTERED HOLDER OF THIS PURCHASE WARRANT AGREES THAT IT WILL NOT SELL, TRANSFER, ASSIGN, PLEDGE OR HYPOTHECATE THIS PURCHASE WARRANT FOR A PERIOD OF ONE HUNDRED EIGHTY DAYS FOLLOWING DECEMBER 5, 2017 (THE
“EFFECTIVE DATE”) TO ANYONE OTHER THAN (I) DAWSON JAMES SECURITIES, INC. OR A PLACEMENT AGENT OR A SELECTED DEALER IN CONNECTION WITH THE OFFERING FOR WHICH THIS WARRANT WAS ISSUED TO THE PLACEMENT AGENT AS CONSIDERATION (THE
“OFFERING”), OR (II) A BONA FIDE OFFICER OR PARTNER OF DAWSON JAMES SECURITIES, INC. OR OF ANY SUCH PLACEMENT AGENT OR SELECTED DEALER. 

THIS PURCHASE WARRANT IS NOT EXERCISABLE PRIOR TO JUNE 5, 2018. VOID AFTER 5:00 P.M., EASTERN TIME, DECEMBER 5, 2022. 

COMMON STOCK PURCHASE WARRANT 

For the Purchase of 246,250 Shares of Common Stock 

of 
 BIOCEPT INC. 

1. Purchase Warrant. THIS CERTIFIES THAT, in consideration of funds duly paid by or on behalf of DAWSON JAMES SECURITIES, INC.
(“Holder”), as registered owner of this Purchase Warrant, to Biocept Inc., a Delaware corporation (the “Company”), Holder is entitled, at any time or from time to time beginning June 5, 2018 (the
“Commencement Date”), and at or before 5:00 p.m., Eastern time, December 5, 2022 (the ”Expiration Date”), but not thereafter, to subscribe for, purchase and receive, in whole or in part,
up to 246,250 shares of common stock of the Company, par value $0.0001 per share (the “Shares”), subject to adjustment as provided in Section 6 hereof. If the Expiration Date is a day on which banking institutions are
authorized by law to close, then this Purchase Warrant may be exercised on the next succeeding day which is not such a day in accordance with the terms herein. During the period ending on the Expiration Date, the Company agrees not to take any
action that would terminate this Purchase Warrant. This Purchase Warrant is initially exercisable at $0.85 per Share; provided, however, that upon the occurrence of any of the events specified in Section 6 hereof, the
rights granted by this Purchase Warrant, including the exercise price per Share and the number of Shares to be received upon such exercise, shall be adjusted as therein specified. The term “Exercise Price” shall mean the initial
exercise price or the adjusted exercise price, depending on the context. 
 2. Exercise. 

2.1 Exercise Form. In order to exercise this Purchase Warrant, the exercise form attached hereto must be duly executed and completed and
delivered to the Company, together with this Purchase Warrant and payment of the Exercise Price for the Shares being purchased payable in cash by wire transfer of immediately available funds to an account designated by the Company or by certified
check or official bank check. If the subscription rights represented hereby shall not be exercised at or before 5:00 p.m., Eastern time, on the Expiration Date, this Purchase Warrant shall become and be void without further force or effect, and all
rights represented hereby shall cease and expire. 

  
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 2.2 Cashless Exercise. In lieu of exercising this Purchase Warrant by payment of cash
or check payable to the order of the Company pursuant to Section 2.1 above, Holder may elect to receive the number of Shares equal to the value of this Purchase Warrant (or the portion thereof being exercised), by surrender of this Purchase
Warrant to the Company, together with the exercise form attached hereto, in which event the Company will issue to Holder Shares in accordance with the following formula: 
  

			
	X    =	  	 Y(A-B)

	  	     A    

  

									
	 Where,
	  		  		  	
	 	  	X	  	=	  	The number of Shares to be issued to Holder;
	 	  	Y	  	=	  	The number of Shares for which the Purchase Warrant is being exercised;
	 	  	A	  	=	  	The fair market value of one Share; and
	 	  	B	  	=	  	The Exercise Price.

 For purposes of this Section 2.2, the fair market value of a Share is defined as follows: 

 

	 	(i)	if the Company’s common stock is traded on a national securities exchange, the OTCQB or OTCQX, the value shall be deemed to be the closing price on such exchange, the OTCQB or OTCQX, as the case may be, prior to
the exercise form being submitted in connection with the exercise of the Purchase Warrant; or 

  

	 	(ii)	if the Company’s common stock is not then traded on a securities exchange, the OTCQB or OTCQX and if prices for the Company’s common stock are then reported on the “Pink Sheets” published by OTC
Markets Group, Inc., the value shall be deemed to be the closing bid prior to the exercise form being submitted in connection with the exercise of the Purchase Warrant so reported; provided, however, if there is no active public market, the value
shall be the fair market value thereof, as determined in good faith by the Company’s Board of Directors. 

 2.3
Legend. Each certificate for the securities purchased under this Purchase Warrant shall bear a legend as follows unless such securities have been registered under the Securities Act of 1933, as amended (the “Act”): 

“The securities represented by this certificate have not been registered under the Securities Act of 1933, as amended (the
“Act”), or applicable state law. Neither the securities nor any interest therein may be offered for sale, sold or otherwise transferred except pursuant to an effective registration statement under the Act, or pursuant to an
exemption from registration under the Act and applicable state law which, in the opinion of counsel to the Company, is available.” 

2.4 Resale of Shares. Holder and the Company acknowledge that as of the date hereof the Staff of the Division of Corporation Finance of
the SEC has published Compliance & Disclosure Interpretation 528.04 in the Securities Act Rules section thereof, stating that the holder of securities issued in connection with a public offering may not rely upon Rule 144 promulgated under
the Act to establish an exemption from registration requirements under Section 4(a)(1) under the Act, but may nonetheless apply Rule 144 constructively for the resale of such shares in the following manner: (a) provided that six months has
elapsed since the last sale under the registration statement, an underwriter or finder may resell the securities in accordance with the provisions of Rule 144(c), (e), and (f), except for the notice requirement; (b) a purchaser of the shares
from an underwriter receives restricted securities unless the sale is made with an appropriate, current prospectus, or unless the sale is made pursuant to the conditions contained in (a) above; (c) a purchaser of the shares from an underwriter
who receives restricted securities may include the underwriter’s holding period, provided that the underwriter or finder is not an affiliate of the issuer; and (d) if an underwriter transfers the shares to its employees, the employees may
tack the firm’s holding period for purposes of Rule 144(d), but they must aggregate sales of the distributed shares with those of other employees, as well as those of the underwriter or finder, for a
six-month period from the date of the transfer to the employees. Holder and the Company also acknowledge that the Staff of the Division of Corporation Finance of the SEC has

  
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advised in various no-action letters that the holding period associated with securities issued without registration to a service provider commences upon
the completion of the services, which the Company agrees and acknowledges shall be the closing of the Offering, and that Rule 144(d)(3)(ii) provides that securities acquired from the issuer solely in exchange for other securities of the same issuer
shall be deemed to have been acquired at the same time as the securities surrendered for conversion (which the Company agrees is the date of the initial issuance of this Purchase Warrant). In the event that following a request by Holder to transfer
the Shares in accordance with Compliance & Disclosure Interpretation 528.04 counsel for the Company reasonably concludes that Compliance & Disclosure Interpretation 528.04 no longer may be relied upon as a result of changes in
applicable laws, regulations, or interpretations of the SEC Division of Corporation Finance, or as a result of judicial interpretations not known by the Company or its counsel on the date hereof (either, a “Registration Trigger Event”),
then the Company shall promptly, and in any event within five (5) business days following the request, provide written notice to Holder of such determination. As a condition to giving such notice, the Company shall offer Holder a single demand
registration right pursuant to an agreement in form acceptable to the Holder; provided that notwithstanding anything to the contrary, the obligations of the Company pursuant to this Section 2 shall terminate on the fifth anniversary of the
Effective Date. In the absence of such conclusion by counsel for the Company, the Company shall, upon request of Holder given no earlier than six months after the final closing of the Offering, instruct its transfer agent to permit the transfer of
such shares in accordance with Compliance & Disclosure Interpretation 528.04, provided that Holder has provided such documentation as shall be reasonably be requested by the Company to establish compliance with the conditions of
Compliance & Disclosure Interpretation 528.04. 
 3. Transfer. 

3.1 General Restrictions. The registered Holder of this Purchase Warrant agrees by his, her or its acceptance hereof, that such Holder
will not: (a) sell, transfer, assign, pledge or hypothecate this Purchase Warrant for a period of one hundred eighty (180) days following the Effective Date to anyone other than: (i) Dawson James Securities, Inc.
(“Dawson”) or a placement agent underwriter or a selected dealer participating in the Offering, or (ii) a bona fide officer or partner of Dawson or of any such placement agent or selected dealer, in each case in accordance with
FINRA Conduct Rule 5110(g)(1), or (b) cause this Purchase Warrant or the securities issuable hereunder to be the subject of any hedging, short sale, derivative, put or call transaction that would result in the effective economic disposition of
this Purchase Warrant or the securities hereunder, except as provided for in FINRA Rule 5110(g)(2). After 180 days after the Effective Date, transfers to others may be made subject to compliance with or exemptions from applicable securities laws. In
order to make any permitted assignment, the Holder must deliver to the Company the assignment form attached hereto duly executed and completed, together with the Purchase Warrant and payment of all transfer taxes, if any, payable in connection
therewith. The Company shall within five (5) Business Days transfer this Purchase Warrant on the books of the Company and shall execute and deliver a new Purchase Warrant or Purchase Warrants of like tenor to the appropriate assignee(s)
expressly evidencing the right to purchase the aggregate number of Shares purchasable hereunder or such portion of such number as shall be contemplated by any such assignment. 

3.2 Restrictions Imposed by the Act. The securities evidenced by this Purchase Warrant shall not be transferred unless and until:
(i) if required by applicable law, the Company has received the opinion of counsel for the Company that the securities may be transferred pursuant to an exemption from registration under the Act and applicable state securities laws (the Company
hereby agrees that the opinion of Schiff Hardin LLP shall also be accepted in lieu of an opinion from Company counsel), or (ii) a registration statement or a post-effective amendment to the Registration Statement relating to the offer and sale
of such securities has been filed by the Company and declared effective by the U.S. Securities and Exchange Commission (the ”Commission”) and compliance with applicable state securities law has been established. 

4. Piggyback Registration Rights. 
 4.1
Grant of Right. Whenever the Company proposes to register any shares of its common stock under the Act (other than (i) a registration effected solely to implement an employee benefit plan or a transaction to which Rule 145 of the Act is
applicable, (ii) a registration statement on Form S-4, S-8 or any successor form thereto or another form not available for registering the Shares issuable upon
exercise of this Warrant for sale to the public, or (iii) the Company’s Registration Statement on Form S-1 (File No. 333-221648) first filed with the
Commission 

  
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on November 17, 2017), whether for its own account or for the account of one or more stockholders of the Company (a “Piggyback Registration”), the Company shall give prompt written
notice (in any event no later than ten (10) Business Days prior to the filing of such registration statement) to the Holder of the Company’s intention to effect such a registration and, subject to the remaining provisions of this
Section 4.1, shall include in such registration the Shares underlying this Warrant (the “Registrable Securities”) that the Holders have requested to be included within such registration. If a Piggyback Registration is an
underwritten offering and the managing underwriter advises the Company in writing that in its opinion the number of shares of common stock proposed to be included in such registration, including all Shares issuable upon exercise of this Warrant (if
the Holder has elected to include such shares in such Piggyback Registration) and all other shares of common stock proposed to be included in such underwritten offering, exceeds the number of shares of common stock which can be sold in such offering
and/or that the number of shares of common stock proposed to be included in any such registration would adversely affect the price per share of the common stock to be sold in such offering, the Company shall include in such registration
(i) first, the number of shares of common stock that the Company proposes to sell and (ii) second, the number of shares of common stock, if any, requested to be included therein by selling stockholders (including the Holder) allocated pro
rata among all such persons on the basis of the number of shares of common stock request to be included in such Piggyback Registration owned by each such person or in such other manner as they may otherwise agree. If any Piggyback Registration is
initiated as a primary underwritten offering on behalf of the Company, the Company shall select the investment banking firm or firms to act as the managing underwriter or underwriters in connection with such offering. Notwithstanding anything to the
contrary, the obligations of the Company pursuant to this Section 4.1 shall terminate on the earlier of (i) the fifth anniversary of the effective date of the Registration Statement pursuant to which the Offering is being made and
(ii) the date that the Holder can sell its Registrable Securities pursuant to Rule 144 during any ninety (90) day period. 
 4.2
Indemnification. The Company shall indemnify the Holder(s) of the Registrable Securities to be sold pursuant to any registration statement hereunder and each person, if any, who controls such Holders within the meaning of Section 15 of
the Act or Section 20 (a) of the Securities Exchange Act of 1934, as amended (“Exchange Act”), against all loss, claim, damage, expense or liability (including all reasonable attorneys’ fees and other out-of-pocket expenses reasonably incurred in investigating, preparing or defending against any claim whatsoever) to which any of them may become subject under the Act, the
Exchange Act or otherwise, arising from such registration statement but only to the same extent and with the same effect as the provisions pursuant to which the Company has agreed to indemnify Dawson contained in Section 9 of the Placement
Agency Agreement between Dawson and the Company, dated as of December 5, 2017. The Holder(s) of the Registrable Securities to be sold pursuant to such registration statement, and their successors and assigns, shall severally, and not jointly,
indemnify the Company, against all loss, claim, damage, expense or liability (including all reasonable attorneys’ fees and other expenses reasonably incurred in investigating, preparing or defending against any claim whatsoever) to which they
may become subject under the Act, the Exchange Act or otherwise, arising from information furnished by or on behalf of such Holders, or their successors or assigns, in writing, for specific inclusion in such registration statement to the same extent
and with the same effect as the provisions contained in Section 9 of the Placement Agency Agreement pursuant to which Dawson has agreed to indemnify the Company. 

4.3 Exercise of Purchase Warrants. Nothing contained in this Purchase Warrant shall be construed as requiring the Holder(s) to exercise
their Purchase Warrants prior to or after the initial filing of any registration statement or the effectiveness thereof. 
 4.4 Documents
Delivered to Holders. The Company shall deliver promptly to each Holder participating in the offering requesting the correspondence and memoranda described below, copies of all correspondence between the Commission and the Company, its counsel
or auditors and all memoranda relating to discussions with the Commission or its staff with respect to the registration statement and permit each Holder and underwriter to do such investigation, upon reasonable advance notice, with respect to
information contained in or omitted from the registration statement as it deems reasonably necessary to comply with applicable securities laws or rules of FINRA. Such investigation shall include access to books, records and properties and
opportunities to discuss the business of the Company with its officers and independent auditors, all to such reasonable extent and at such reasonable times, during normal business hours, as any such Holder shall reasonably request. 

4.5 Underwriting Agreement. The Holders shall be parties to any underwriting agreement relating to a Piggyback Registration. Such
Holders shall not be required to make any representations or warranties to or agreements with the Company or the underwriters except as they may relate to such Holders, their Shares and their intended methods of distribution. 

  
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 4.6 Documents to be Delivered by Holder(s). Each of the Holder(s) participating in any of
the foregoing offerings shall furnish to the Company a completed and executed questionnaire provided by the Company requesting information customarily sought of selling security holders. 

4.7 Damages. Should the Company fail to comply with such provisions, the Holder(s) shall, in addition to any other legal or other
relief available to the Holder(s), be entitled to obtain specific performance or other equitable (including injunctive) relief against the threatened breach of such provisions or the continuation of any such breach, without the necessity of proving
actual damages and without the necessity of posting bond or other security. 
 5. New Purchase Warrants to be Issued. 

5.1 Partial Exercise or Transfer. Subject to the restrictions in Section 3 hereof, this Purchase Warrant may be exercised or
assigned in whole or in part. In the event of the exercise or assignment hereof in part only, upon surrender of this Purchase Warrant for cancellation, together with the duly executed exercise or assignment form and funds sufficient to pay any
Exercise Price and/or transfer tax if exercised pursuant to Section 2.1 hereto, the Company shall cause to be delivered to the Holder without charge a new Purchase Warrant of like tenor to this Purchase Warrant in the name of the Holder
evidencing the right of the Holder to purchase the number of Shares purchasable hereunder as to which this Purchase Warrant has not been exercised or assigned. 

5.2 Lost Certificate. Upon receipt by the Company of evidence satisfactory to it of the loss, theft, destruction or mutilation of this
Purchase Warrant and of reasonably satisfactory indemnification or the posting of a bond, the Company shall execute and deliver a new Purchase Warrant of like tenor and date. Any such new Purchase Warrant executed and delivered as a result of such
loss, theft, mutilation or destruction shall constitute a substitute contractual obligation on the part of the Company. 
 6. Adjustments. 

6.1 Adjustments to Exercise Price and Number of Securities. The Exercise Price and the number of Shares underlying the Purchase Warrant
shall be subject to adjustment from time to time as hereinafter set forth: 
 6.1.1 Share Dividends; Split Ups. If, after the date
hereof, and subject to the provisions of Section 6.3 below, the number of outstanding Shares is increased by a stock dividend payable in Shares or by a split up of Shares or other similar event, then, on the effective day thereof, the number of
Shares purchasable hereunder shall be increased in proportion to such increase in outstanding Shares, and the Exercise Price shall be proportionately decreased. 

6.1.2 Aggregation of Shares. If, after the date hereof, and subject to the provisions of Section 6.3 below, the number of
outstanding Shares is decreased by a consolidation, combination or reclassification of Shares or other similar event, then, on the effective date thereof, the number of Shares purchasable hereunder shall be decreased in proportion to such decrease
in outstanding Shares, and the Exercise Price shall be proportionately increased. 
 6.1.3 Replacement of Securities upon Reorganization,
etc. In case of any reclassification or reorganization of the outstanding Shares other than a change covered by Section 6.1.1 or 6.1.2 hereof or that solely affects the par value of such Shares, or in the case of any share reconstruction or
amalgamation or consolidation or merger of the Company with or into another corporation (other than a consolidation or share reconstruction or amalgamation or merger in which the Company is the continuing corporation and that does not result in any
reclassification or reorganization of the outstanding Shares), or in the case of any sale or conveyance to another 

  
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corporation or entity of the property of the Company as an entirety or substantially as an entirety in connection with which the Company is dissolved, the Holder of this Purchase Warrant shall
have the right thereafter (until the expiration of the right of exercise of this Purchase Warrant) to receive upon the exercise hereof, for the same aggregate Exercise Price payable hereunder immediately prior to such event, the kind and amount of
shares of stock or other securities or property (including cash) receivable upon such reclassification, reorganization, share reconstruction or amalgamation, or consolidation, or upon a dissolution following any such sale or transfer, by a Holder of
the number of Shares of the Company obtainable upon exercise of this Purchase Warrant immediately prior to such event; and if any reclassification also results in a change in Shares covered by Section 6.1.1 or 6.1.2, then such adjustment shall
be made pursuant to Sections 6.1.1, 6.1.2 and this Section 6.1.3. The provisions of this Section 6.1.3 shall similarly apply to successive reclassifications, reorganizations, share reconstructions or amalgamations, or consolidations, sales
or other transfers. 
 6.1.4 Changes in Form of Purchase Warrant. This form of Purchase Warrant need not be changed because of any
change pursuant to this Section 6.1, and Purchase Warrants issued after such change may state the same Exercise Price and the same number of Shares as are stated in the Purchase Warrants initially issued pursuant to this Agreement. The
acceptance by any Holder of the issuance of new Purchase Warrants reflecting a required or permissive change shall not be deemed to waive any rights to an adjustment occurring after the Commencement Date or the computation thereof. 

6.2 Substitute Purchase Warrant. In case of any consolidation of the Company with, or share reconstruction or amalgamation or merger of
the Company with or into, another corporation (other than a consolidation or share reconstruction or amalgamation or merger which does not result in any reclassification or change of the outstanding Shares), the corporation formed by such
consolidation or share reconstruction or amalgamation shall execute and deliver to the Holder a supplemental Purchase Warrant providing that the holder of each Purchase Warrant then outstanding or to be outstanding shall have the right thereafter
(until the stated expiration of such Purchase Warrant) to receive, upon exercise of such Purchase Warrant, the kind and amount of shares of stock and other securities and property receivable upon such consolidation or share reconstruction or
amalgamation, by a holder of the number of Shares of the Company for which such Purchase Warrant might have been exercised immediately prior to such consolidation, share reconstruction or amalgamation or merger, sale or transfer. Such supplemental
Purchase Warrant shall provide for adjustments which shall be identical to the adjustments provided for in this Section 6. The above provision of this Section shall similarly apply to successive consolidations or share reconstructions or
amalgamations or mergers. 
 6.3 Elimination of Fractional Interests. The Company shall not be required to issue certificates
representing fractions of Shares upon the exercise of the Purchase Warrant, nor shall it be required to issue scrip or pay cash in lieu of any fractional interests, it being the intent of the parties that all fractional interests shall be eliminated
by rounding any fraction up or down, as the case may be, to the nearest whole number of Shares or other securities, properties or rights. 
 7.
Reservation. The Company shall at all times reserve and keep available out of its authorized Shares, solely for the purpose of issuance upon exercise of the Purchase Warrants, such number of Shares or other securities, properties or rights as
shall be issuable upon the exercise thereof. The Company covenants and agrees that, upon exercise of the Purchase Warrants and payment of the Exercise Price therefor, in accordance with the terms hereby, all Shares and other securities issuable upon
such exercise shall be duly and validly issued, fully paid and non-assessable and not subject to preemptive rights of any shareholder. 

8. Certain Notice Requirements. 
 8.1
Holder’s Right to Receive Notice. Nothing herein shall be construed as conferring upon the Holders the right to vote or consent or to receive notice as a shareholder for the election of directors or any other matter, or as having any
rights whatsoever as a shareholder of the Company. If, however, at any time prior to the expiration of the Purchase Warrants and their exercise, any of the events described in Section 8.2 shall occur, then, in one or more of said events, the
Company shall give written notice of such event at least ten (10) days prior to the date fixed as a record date or the date of closing the transfer books for the determination of the shareholders entitled

  
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to such dividend, distribution, conversion or exchange of securities or subscription rights. Such notice shall specify such record date or the date of the closing of the transfer books, as the
case may be. Notwithstanding the foregoing, the Company shall deliver to each Holder a copy of each notice given to the other shareholders of the Company at the same time and in the same manner that such notice is given to the shareholders. 

8.2 Events Requiring Notice. The Company shall be required to give the notice described in this Section 8 upon one or more of the
following events: (i) if the Company shall take a record of the holders of its Shares for the purpose of entitling them to receive a dividend or distribution payable otherwise than in cash, or a cash dividend or distribution payable otherwise
than out of retained earnings, as indicated by the accounting treatment of such dividend or distribution on the books of the Company, or (ii) the Company shall offer to all the holders of its Shares any additional shares of capital stock of the
Company or securities convertible into or exchangeable for shares of capital stock of the Company, or any option, right or warrant to subscribe therefor. 

8.3 Notice of Change in Exercise Price. The Company shall, promptly after an event requiring a change in the Exercise Price pursuant to
Section 6 hereof, send notice to the Holders of such event and change (“Price Notice”). The Price Notice shall describe the event causing the change and the method of calculating same. 

8.4 Transmittal of Notices. All notices, requests, consents and other communications under this Purchase Warrant shall be in writing
and shall be deemed to have been duly made when hand delivered, or mailed by express mail or private courier service: (i) if to the registered Holder of the Purchase Warrant, to the address of such Holder as shown on the books of the Company,
or (ii) if to the Company, to following address or to such other address as the Company may designate by notice to the Holders: 
 If
to the Holder: 
 Dawson James Securities, Inc. 

1 North Federal Highway – 5th Floor 

Boca Raton, FL 33432 
 Attention:
Chief Executive Officer 
 with a copy (which shall not constitute notice) to: 

Schiff Hardin LLP 
 901 K Street,
NW, Suite 700 
 Washington, DC 20001 

Attn: Ralph V. De Martino, Esq. 

Fax No.: (202) 778-6460 

If to the Company: 
 Biocept
Inc. 
 Michael W. Nall 
 Chief
Executive Officer and President 
 Biocept, Inc. 

5810 Nancy Ridge Drive 
 San
Diego, CA 92121 
 9. Miscellaneous. 

9.1 Amendments. The Company and Dawson may from time to time supplement or amend this Purchase Warrant without the approval of any of
the Holders in order to cure any ambiguity, to correct or supplement any provision contained herein that may be defective or inconsistent with any other provisions herein, or to make any other provisions in regard to matters or questions arising
hereunder that the Company and Dawson may deem necessary or desirable and that the Company and Dawson deem shall not adversely affect the interest of the Holders. All other modifications or amendments shall require the written consent of and be
signed by (i) the Company and (ii) the Holder(s) of Purchase Warrants then-exercisable for at least a majority of the Shares then-exercisable pursuant to all then-outstanding Purchase Warrants. 

  
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 9.2 Headings. The headings contained herein are for the sole purpose of convenience of
reference, and shall not in any way limit or affect the meaning or interpretation of any of the terms or provisions of this Purchase Warrant. 

9.3. Entire Agreement. This Purchase Warrant (together with the other agreements and documents being delivered pursuant to or in
connection with this Purchase Warrant) constitutes the entire agreement of the parties hereto with respect to the subject matter hereof, and supersedes all prior agreements and understandings of the parties, oral and written, with respect to the
subject matter hereof. 
 9.4 Binding Effect. This Purchase Warrant shall inure solely to the benefit of and shall be binding upon,
the Holder and the Company and their permitted assignees, respective successors, legal representative and assigns, and no other person shall have or be construed to have any legal or equitable right, remedy or claim under or in respect of or by
virtue of this Purchase Warrant or any provisions herein contained. 
 9.5 Governing Law; Submission to Jurisdiction; Trial by Jury.
This Purchase Warrant shall be governed by and construed and enforced in accordance with the laws of the State of New York, without giving effect to conflict of laws principles thereof. The Company hereby agrees that any action, proceeding or claim
against it arising out of, or relating in any way to this Purchase Warrant shall be brought and enforced in the New York Supreme Court, County of New York, or in the United States District Court for the Southern District of New York, and irrevocably
submits to such jurisdiction, which jurisdiction shall be exclusive. The Company hereby waives any objection to such exclusive jurisdiction and that such courts represent an inconvenient forum. Any process or summons to be served upon the Company
may be served by transmitting a copy thereof by registered or certified mail, return receipt requested, postage prepaid, addressed to it at the address set forth in Section 8 hereof. Such mailing shall be deemed personal service and shall be
legal and binding upon the Company in any action, proceeding or claim. The Company and the Holder agree that the prevailing party(ies) in any such action shall be entitled to recover from the other party(ies) all of its reasonable attorneys’
fees and expenses relating to such action or proceeding and/or incurred in connection with the preparation therefor. The Company (on its behalf and, to the extent permitted by applicable law, on behalf of its stockholders and affiliates) and the
Holder hereby irrevocably waive, to the fullest extent permitted by applicable law, any and all right to trial by jury in any legal proceeding arising out of or relating to this Agreement or the transactions contemplated hereby. 

9.6 Waiver, etc. The failure of the Company or the Holder to at any time enforce any of the provisions of this Purchase Warrant shall
not be deemed or construed to be a waiver of any such provision, nor to in any way affect the validity of this Purchase Warrant or any provision hereof or the right of the Company or any Holder to thereafter enforce each and every provision of this
Purchase Warrant. No waiver of any breach, non-compliance or non-fulfillment of any of the provisions of this Purchase Warrant shall be effective unless set forth in a
written instrument executed by the party or parties against whom or which enforcement of such waiver is sought; and no waiver of any such breach, non-compliance or
non-fulfillment shall be construed or deemed to be a waiver of any other or subsequent breach, non-compliance or non-fulfillment.

 9.7 Exchange Agreement. As a condition of the Holder’s receipt and acceptance of this Purchase Warrant, Holder agrees that,
at any time prior to the complete exercise of this Purchase Warrant by Holder, if the Company and Dawson enter into an agreement (“Exchange Agreement”) pursuant to which they agree that all outstanding Purchase Warrants will be
exchanged for securities or cash or a combination of both, then Holder shall agree to such exchange and become a party to the Exchange Agreement. 

[Signature Page Follows] 

  
 8 

 IN WITNESS WHEREOF, the Company has caused this Purchase Warrant to be signed by its duly
authorized officer as of the 7th day of December, 2017. 
  

			
	 BIOCEPT INC.

		
	        By:	 	/s/ Timothy Kennedy
		 	Name: Timothy Kennedy
		 	Title: CFO, SVP Operations

  
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 [Form to be used to exercise Purchase Warrant] 

Date:                 , 20
         
 The undersigned hereby elects irrevocably to exercise the Purchase Warrant for
             shares of common stock, par value $0.0001 per share (the “Shares”), of Biocept Inc., a Delaware corporation (the “Company”), and hereby
makes payment of $         (at the rate of $             per Share) in payment of the Exercise Price pursuant thereto. Please issue the
Shares as to which this Purchase Warrant is exercised in accordance with the instructions given below and, if applicable, a new Purchase Warrant representing the number of Shares for which this Purchase Warrant has not been exercised. 

or 
 The
undersigned hereby elects irrevocably to convert its right to purchase          Shares of the Company under the Purchase Warrant for
             Shares, as determined in accordance with the following formula: 
  

									
	 	  	 	  	 	  	Y(A-B)	  	 
	  		  	  	  
	  	
	 	  	X	  	=	  	A	  	 

 Where, 

									
	 	  	X	  	=	  	The number of Shares to be issued to Holder;
	 	  	Y	  	=	  	The number of Shares for which the Purchase Warrant is being exercised;
	 	  	A	  	=	  	The fair market value of one Share which is equal to $             ; and
	 	  	B	  	=	  	The Exercise Price which is equal to $             per share

 The undersigned agrees and acknowledges that the calculation set forth above is subject to confirmation by the
Company and any disagreement with respect to the calculation shall be resolved by the Company in its sole discretion. 
 Please issue the
Shares as to which this Purchase Warrant is exercised in accordance with the instructions given below and, if applicable, a new Purchase Warrant representing the number of Shares for which this Purchase Warrant has not been converted. 

 

					
	 Signature
	  	 	  	

  

					
	 Signature Guaranteed
	  	 	  	

  
 10 

			
	INSTRUCTIONS FOR REGISTRATION OF SECURITIES
		
	Name:	 	 
		 	(Print in Block Letters)
		
	Address:	 	 
		
		 	 
		
		 	 

 NOTICE: The signature to this form must correspond with the name as written upon the face of the Purchase
Warrant without alteration or enlargement or any change whatsoever, and must be guaranteed by a bank, other than a savings bank, or by a trust company or by a firm having membership on a registered national securities exchange. 

  
 11 

 [Form to be used to assign Purchase Warrant] 

ASSIGNMENT 
 (To be executed by the registered Holder to effect a
transfer of the within Purchase Warrant): 
 FOR VALUE RECEIVED,
                             does hereby sell, assign and transfer unto the right to purchase shares
of Common Stock, par value $0.0001 per share, of Biocept Inc., a Delaware corporation (the “Company”), evidenced by the Purchase Warrant and does hereby authorize the Company to transfer such right on the books of the Company. 

Dated:                , 20      

  

					
	 Signature
	  	 	  	

  

					
	 Signature Guaranteed
	  	 	  	

 NOTICE: The signature to this form must correspond with the name as written upon the face of the within Purchase Warrant
without alteration or enlargement or any change whatsoever, and must be guaranteed by a bank, other than a savings bank, or by a trust company or by a firm having membership on a registered national securities exchange. 

  
 12EX-10.22

 Exhibit 10.22 

SECOND AMENDMENT TO 

EMPLOYMENT AGREEMENT 

THIS SECOND AMENDMENT TO EMPLOYMENT
AGREEMENT (the “Amendment”) is entered by and between Biocept, Inc., a Delaware corporation (the “Company”), and Michael W. Nall (“Executive”) and shall be
effective as of November 1, 2017 (the “Amendment Effective Date”). 
 WHEREAS, the
Company and Executive are parties to that certain Employment Agreement, effective August 26, 2013 and amended effective November 6, 2015 (collectively the “Employment Agreement”); and 

WHEREAS, the Company and Executive now desire to amend the Employment Agreement as set forth herein; 

NOW THEREFORE, in consideration of the foregoing and the mutual promises herein contained,
the parties agree as follows (capitalized terms used but not defined herein shall have the meaning set forth in the Employment Agreement): 

1. AMENDMENT TO SECTION 4 (C)
“EXPENSES.” The parties mutually agree that the Agreement is amended as of the Amendment Effective Date, by amending Section 4 (c) to delete the last sentence. 

2. UNCHANGED TERMS/CONFLICT. Except as expressly modified by this Amendment, the
Agreement shall remain unmodified and in full force and effect. Should there be any conflict between the terms and conditions of this Amendment and the terms and conditions of the Agreement, the parties agree that the terms and conditions of this
Amendment shall control/prevail. 
 IN WITNESS WHEREOF, the parties have executed this
Amendment as of the date first set forth above. 
  

									
	BIOCEPT, INC.	 		 	EXECUTIVE
					
	By:	 	/s/ David F. Hale	 		 		 	/s/ Michael W. Nall
		 	David F. Hale	 		 		 	Michael W. Nall
		 	Chairman of the Board

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