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                                                                   OMB APPROVAL
                                                                  OMB 3235-0145
     
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549
     
                                  SCHEDULE 13G
     
                 Under the Securities Exchange Act of 1934
                          (Amendment No.       )*
                                        ------
     
                                  ZYMETX, INC.
                     ----------------------------------
                                (Name of Issuer)
     
                                  Common Stock
                     ----------------------------------
                         (Title of Class of Securities)
     
                                  989859 10 3
                     ----------------------------------
                                 (CUSIP Number)
     
   Check the following box if a fee is being paid with this statement /X/. (A
fee is not required only if the filing person: (1) has a previous statement on 
file reporting beneficial ownership of more than five percent of the class of 
securities described in Item 1; and (2) has filed no amendment subsequent 
thereto reporting beneficial ownership of five percent or less of such class.) 
(See Rule 13d-7.)
     
   *The remainder of this cover page shall be filled out for a reporting
person's initial filing on this form with respect to the subject class of 
securities, and for any subsequent amendment containing information which would 
alter the disclosures provided in a prior page.
     
   The information required in the remainder of this cover page shall not be
deemed to be "filed" for the purpose of Section 18 of the Securities Exchange 
Act of 1934 ("Act") or otherwise subject to the liabilities of that section of 
the Act but shall be subject to all other provisions of the Act (however, see 
the Notes).
     
                        (Continued on following page(s))
     
     
                                Page 1 of 4 Pages
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CUSIP No. 989859 10 3                13G                 Page  2  of  4  Pages
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 (1) Names of Reporting Person. S.S. or I.R.S. Identification Nos. of Above
     Person
     
     Kevin B. Kimberlin
- -------------------------------------------------------------------------------
 (2) Check the Appropriate Box if a Member     (a)  /X/
     of a Group*                               (b)  / /
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 (3) SEC Use Only
     
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 (4) Citizenship or Place of Organization
     
     U.S.
- -------------------------------------------------------------------------------
Number of Shares              (5) Sole Voting
 Beneficially                       Power                516,851
 Owned by                    --------------------------------------------------
 Each Reporting               (6) Shared Voting
 Person With                        Power                      0
                             --------------------------------------------------
                              (7) Sole Dispositive
                                    Power                516,851
                             --------------------------------------------------
                             (8) Shared Dispositive
                                  Power                        0
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 (9) Aggregate Amount Beneficially Owned by Each Reporting Person
     
     516,851
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(10) Check Box if the Aggregate Amount in Row (9) Excludes Certain Shares*
     
- -------------------------------------------------------------------------------
(11) Percent of Class Represented by Amount in Row (9)
     
     8.0%
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(12) Type of Reporting Person*
     
     IN
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                      *SEE INSTRUCTION BEFORE FILLING OUT!
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SCHEDULE 13G - TO BE INCLUDED IN STATEMENTS 
FILED PURSUANT TO RULE 13d-1(b) or 13d-2(b)
     
Item 1(a).    Name of Issuer:
     
              ZymeTx, Inc.
     
Item 1(b).    Name of Issuer's Principal Executive Offices:
     
              800 Research Parkway, Suite 100
              Oklahoma City, OK 73104
     
Item 2(a).    Name of Person Filing:
     
              Kevin B. Kimberlin
     
Item 2(b).    Address or Principal Business Office or, if None, Residence:
     
              535 Madison Avenue
              New York, New York 10022
     
Item 2(c).    Citizenship:
     
              United States.
     
Item 2(d).    Title of Class of Securities:
     
              Common Stock
     
Item 2(e).    CUSIP Number:
     
              989859 10 3
     
Item 3.       Not applicable.
     
Item 4.  Ownership
     
         (a)  Amount Beneficially Owned:
     
              516,851 (The shares beneficially owned by the reporting person
include shares held by Oshkim Limited Partners, L.P. ("Oshkim") and 164,351 
shares of Common Stock subject to warrants held by Oshkim, Spencer Trask 
Holdings, Inc. and Kimberlin Family Partners, L.P. (b) Percent of Class:
     
              8.0%
     
         (c)  Number of shares as to which such person has:
     
              (i)    sole power to vote or to direct the vote:
     
                     516,851
     
              (ii)   shared power to vote or to direct the vote:
     
                      0
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              (iii)  sole power to dispose or to direct the disposition of:
     
                     516,851
     
              (iv)   shared power to dispose or to direct the disposition of:
     
                     0
     
Item 5.  Ownership of Five Percent or Less of a Class.
     
         Not applicable.
     
Item 6.  Ownership of More than Five Percent on Behalf of Another Person.
     
         Not applicable.
     
Item 7.  Identification and Classification of the Subsidiary Which Acquired
         the Security Being Reported on By the Parent Holding Company.
     
         Not applicable.
     
Item 8.  Identification and Classification of Members of the Group.
     
         Not applicable.
     
Item 9.  Notice of Dissolution of Group.
     
         Not applicable.
     
Item 10. Certification.
     
    By signing below I certify that, to the best of my knowledge and belief, the
securities referred to above were acquired in the ordinary course of business 
and were not acquired for the purpose of and do not have the effect of changing 
or influencing the control of the issuer of such securities and were not 
acquired in connection with or as a participant in any transaction having such 
purpose or effect.
     
    Signature.  After reasonable inquiry and to the best of my knowledge and
belief, I certify that the information set forth in this statement is true, 
complete and correct.
     
Dated:  December 19, 1997.
     
   /s/ Kevin B. Kimberlin   
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            Signature
     
       Kevin B. Kimberlin
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            Name/Title
     
     
     
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