<PAGE>
 
                                                                   EXHIBIT 10.62


                          LIFE MEDICAL SCIENCES, INC.
                            STOCK OPTION AGREEMENT
             UNDER THE AMENDED AND RESTATED 1992 STOCK OPTION PLAN
                          (non-qualified stock option)



         AGREEMENT entered into as of the date set forth on the signature page
hereto by and between Life Medical Sciences, Inc., a Delaware corporation, with
a principal place of business at 379 Thornall Street, Edison, New Jersey
(together with its subsidiaries, if any, the "Company"), and the undersigned
(the "Optionee").

         WHEREAS, the Company desires to grant to the Optionee a non-qualified
stock option under the Company's Amended and Restated 1992 Stock Option Plan
(the "Plan") to acquire shares of the Company's Common Stock, $.001 par value
(the "Shares"); and

         WHEREAS, the Plan provides that each option is to be evidenced by an
option agreement, setting forth the terms and conditions of the option.

         NOW THEREFORE, in consideration of the premises and of the mutual
covenants and agreements contained herein, the Company and the Optionee hereby
agree as follows:

         1.       Grant of Option.
                  --------------- 

         The Company hereby grants to the Optionee a non-qualified stock option
under the Plan (the "Option") to purchase all or any part of an aggregate of the
number of Shares set forth on the signature page to this Agreement on the terms
and conditions hereinafter set forth.  The Option shall NOT be treated as an
incentive stock option under Section 422 of the Internal Revenue Code of 1986,
as amended (the "Code").

         2.       Purchase Price.
                  -------------- 

         The purchase price ("Purchase Price") for the Shares covered by the
Option shall be the dollar amount per share set forth on the signature page to
this Agreement.

         3.       Time of Vesting and Exercise of Option.
                  --------------------------------------- 

         Subject to Section 4 hereof, the Option shall vest and become
exercisable on the dates and as to the installment amounts set forth on the
signature page to this Agreement.  To the extent the Option (or any portion
thereof) is not exercised by the Optionee when it becomes exercisable, it shall
not expire, but shall be carried forward and shall be exercisable, on a
cumulative basis, until the Expiration Date (as hereinafter defined) or until
earlier termination as hereinafter provided.



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<PAGE>
 
         4.       Term; Extent of Exercisability.
                  ------------------------------ 

                  (a)    Term

                  (i)    The Option shall expire as to each
                         installment amount on the date set forth next to each
               such amount on the signature page to this Agreement (the
               "Expiration Date"), subject to earlier termination as herein
               provided.

                 (ii)    Except as otherwise provided in this Section
               4, if the Optionee ceases to perform services for the Company,
               the Option shall terminate on the earlier of the last day of the
               third month or ninety days after the date such Optionee ceases to
               perform services for the Company, or on the date on which the
               Option expires by its terms, whichever occurs first.

                  (iii)  If such termination to perform services is because of
               dismissal for cause or because the Optionee is in breach of any
               employment agreement, such Option will terminate on the date the
               Optionee ceases to perform services for the Company.

                  (iv)   If such termination to perform services is because the
               Optionee has become permanently disabled (within the meaning
               of Section 22(e)(3) of the Code), such Option shall terminate on
               the last day of the twelfth month from the date such Optionee
               ceases to perform services for the Company, or on the date on
               which the Option expires by its terms, whichever occurs first.

                  (v)     In the event of the death of the Optionee,
               the Option granted to such Optionee shall terminate on the last
               day of the twelfth month from the date of death, or on the date
               on which the Option expires by its terms, whichever occurs
               first.

                  (b)    Extent of Exercisability.
                         ------------------------

                  (i)    Except as provided below, if the Optionee ceases to
               perform services for the Company, the Option shall be exercisable
               only to the extent that the right to purchase Shares under such
               Option has accrued and is in effect on the date such Optionee
               ceases to perform services for the Company.

                  (ii)    If the Optionee ceases to perform services for the
               Company because he or she has become permanently disabled (within
               the meaning of Section 22(e)(3) of the Code), the Option shall be
               exercisable to the full number of Shares covered by such Option.


                                      -2-
<PAGE>
 
                  (iii)   In the event of the death of the Optionee, the Option
               may be exercised with respect to the full number of Shares
               covered thereby whether or not under the provisions of Section 3
               hereof the Optionee was entitled to do so at the date of his or
               her death, by the estate of such Optionee, or by any person or
               persons who acquired the right to exercise such Option by bequest
               or inheritance or by reason of the death of such Optionee.

         5.    Manner of Exercise of Option.
               ---------------------------- 
              
         (a)   To the extent that the right to exercise the Option has
         accrued and is in effect, the Option may be exercised in full or in
         part by giving written notice to the Company stating the number of
         Shares as to which the Option is being exercised and accompanied by
         payment in full for such Shares. No partial exercise may be made for
         less than one hundred (100) full Shares of Common Stock. Payment shall
         be made in accordance with the terms of the Plan. Upon such exercise,
         delivery of a certificate for paid-up, non-assessable Shares shall be
         made at the principal office of the Company to the person exercising
         the Option, not less than thirty (30) and not more than ninety (90)
         days from the date of receipt of the notice by the Company.

         (b)     The Company shall at all times during the term of the
         Option reserve and keep available such number of Shares of its Common
         Stock as will be sufficient to satisfy the requirements of the Option.

         6.   Non-Transferability.
              ------------------- 

              The right of the Optionee to exercise the Option shall not
be assignable or transferable by the Optionee otherwise than by will or the laws
or descent and distribution or pursuant to a domestic relations order as
defined in the Code or Title 1 of the Employee Retirement Income Security Act
or the rules thereunder, and the Option may be exercised during the lifetime of
the Optionee only by him or her. The Option shall be null and void and without
effect upon the bankruptcy of the Optionee or upon any attempted assignment or
transfer, except as herein provided, including without limitation any purported
assignment, whether voluntary or by operation of law, pledge, hypothecation or
other disposition contrary to the provisions hereof, or levy of execution,
attachment, trustee process or similar process, whether legal or equitable, upon
the Option.

         7.   Representation Letter and Investment Legend.
              ------------------------------------------- 

              In the event that for any reason the Shares to be issued upon 
exercise of the Option shall not be effectively registered under the Securities
Act of 1933 ("1933 Act"), upon any date on which the Option is exercised in
whole or in part, the person exercising the Option shall give a written
representation to the Company in the form attached hereto as Exhibit 1 and the
Company shall place an "investment legend", so-called, as described in Exhibit
1, upon any certificate for the Shares issued by reason of such exercise.

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<PAGE>
 
         8.  Adjustments on Changes in Capitalization.
             ---------------------------------------- 

         Adjustments on changes in capitalization and the like shall be made in
accordance with the Plan, as in effect on the date of this Option.

         9.       No Special Employment Rights.
                  ---------------------------- 

         The provisions of this Section 9 are applicable only to Optionee's who
are employees of the Company.  Nothing contained in the Plan or this Option
shall be construed or deemed by any person under any circumstances to bind the
Company to continue the employment of the Optionee for the period within which
this Option may be exercised.  However, during the period of the Optionee's
employment, the Optionee shall render diligently and faithfully the services
which are assigned to the Optionee from time to time by the Board of Directors
or by the executive officers of the Company and shall at no time take any action
which directly or indirectly would be inconsistent with the best interests of
the Company.

         10.      Rights as a Stockholder.
                  ----------------------- 

         The Optionee shall have no rights as a stockholder with respect to any
Shares which may be purchased by exercise of this Option unless and until a
certificate or certificates representing such Shares are duly issued and
delivered to the Optionee.  Except as otherwise expressly provided in the Plan,
no adjustment shall be made for dividends or other rights for which the record
date is prior to the date such stock certificate is issued.

         11.  Withholding Taxes.
              ----------------- 

         Whenever Shares are to be issued upon exercise of this Option, the
Company shall have the right to require the Optionee to remit to the Company an
amount sufficient to satisfy all Federal, state and local withholding tax
requirements prior to the delivery of any certificate or certificates for the
Shares.  The Company may agree to permit the Optionee to authorized the Company
to withhold Shares of Common Stock purchased upon exercise of the Option to
satisfy the above-mentioned withholding requirement; provided, however, no such
agreement may be made by an Optionee who is an officer or director within the
meaning of Section 16 of the Securities Exchange Act of 1934, as amended, except
pursuant to a standing election to so withhold Shares of Common Stock purchased
upon exercise of the Option, such election to be made in the form set forth in
Exhibit 2 hereto and to be made not less than six (6) months prior to such
exercise.  Such election may be revoked only upon providing six (6) months prior
written notice to the Company.

         12.      Plan Provisions Control.
                  ----------------------- 

         In the event of any inconsistency between the provisions of this
Agreement and the provisions of the Plan, the inconsistent provision(s) of this
Agreement shall be superseded by the Plan provision(s) to the extent necessary
to reconcile the inconsistency.


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<PAGE>
 
          IN WITNESS WHEREOF, the Company has caused this Agreement to be
executed, and the Optionee has hereunto set his or her hand, all as of the 28th
day of May, 1998.

                              LIFE MEDICAL SCIENCES, INC.


                              By:  /s/ Robert P. Hickey
                                  -------------------------------------

                              OPTIONEE:

                              Print Name:    Eli Pines, Ph.D.
                                          -----------------------------

                              Sign Name: /s/ Eli Pines   7/30/98
                                         ------------------------------


                              OPTION INFORMATION
                              ------------------

Total Number of Shares Underlying Option:      30,000
Purchase Price Per Share:      $ 2.00


                         VESTING & EXPIRATION SCHEDULE
                         -----------------------------
 
Vesting Date               Number of Shares           Expiration Date
------------               ----------------           ---------------
June 17, 1997                   15,000                 June 17, 2002
June 17, 1998                   15,000                 June 17, 2003


This agreement supercedes the previous agreement dated June 17, 1997.


                                      -5-
<PAGE>
 
                                   EXHIBIT 1
                           TO STOCK OPTION AGREEMENT
                           --------------------------
Gentlemen:

         In connection with the exercise by me of an option to purchase shares
of Common Stock, $.001 par value, of Life Medical Sciences, Inc. (the
"Company"), I hereby acknowledge that I have been informed as follows:

         1.   The shares of Common Stock of the Company to be issued to
me pursuant to the exercise of said option (the "Shares") have not been
registered under the Securities Act of 1933, as amended (the "Securities Act")
and, accordingly, must be held indefinitely unless the Shares are subsequently
registered under the Securities Act, or an exemption from such registration is
available.

         2.   Routine sales of securities made in reliance upon Rule 144 under 
the Securities Act can be made only after the holding period provided by that
Rule has been satisfied, and, in any sale to which that Rule is not applicable,
registration or compliance with some other exemption under the Securities Act
will be required.

         3.   The availability of Rule 144 is dependent upon adequate
current public information with respect to the Company being available and, at
the time that I may desire to make a sale pursuant to the Rule, the Company may
neither wish nor be able to comply with such requirement.

         In consideration of the issuance of certificates for the Shares to me,
I hereby represent and warrant that I am acquiring the Shares for my own account
for investment, and that I will not sell, pledge or transfer the Shares in the
absence of an effective registration statement covering the same, except as
permitted by the provisions of Rule 144, if applicable, or some other applicable
exemption under the Securities Act.  In view of this representation and
warranty, I agree that there may be affixed to the certificates for the Shares
to be issued to me, and to all certificates issued hereafter representing the
Shares (until in the opinion of counsel, which opinion must be reasonably
satisfactory in form and substance to counsel for the Company, it is no longer
necessary or required) a legend as follows:

         "The securities represented by this certificate have not been
     registered under the Securities Act of 1933, as amended, and were
     acquired by the registered holder pursuant to a representation and
     warranty that such holder was acquiring the Shares for his own
     account and for investment, with no intention of transfer or 
     disposition of the same in violation of the registration requirements
     of that Act.  These securities may not be sold, pledged, or transferred
     in the absence of an effective registration statement under such Act,
     or an opinion of counsel, which opinion is reasonably satisfactory to
     counsel to the Company, to the effect that registration is not required
     under such Act."



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<PAGE>
 
         I further agree that the Company may place a stop transfer order with
its transfer agent, prohibiting the transfer of the Shares, so long as the
legend remains on the certificates representing the Shares.


                               Very truly yours,

                               /s/ Eli Pines


Dated:  7/30/98
      -----------



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<PAGE>
 
                                   EXHIBIT 2
                           TO STOCK OPTION AGREEMENT
                           -------------------------
Gentlemen:

         The undersigned Optionee hereby elects and agrees that, whenever the
undersigned exercises a stock option (including any options which now or may
hereafter be granted), Life Medical Sciences, Inc. (the "Company") shall
withhold from that exercise such number of Shares equal in value to the federal
and state withholding taxes due upon such exercise.  The undersigned further
acknowledges and agrees that this election may not be revoked without six (6)
months' prior written notice to the Company.


                                   OPTIONEE:



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



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



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