FORM 4
[ ] Check this box if no longer
subject to Section 16. Form 4 or Form
5 obligations may continue.
See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549
STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP

Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility
Holding Company Act of 1935 or Section 30(f) of the Investment Company Act of 1940

OMB APPROVAL

OMB Number: 3235-0287
Expires: December 31, 2001
Estimated average burden
hours per response. . . . . 0.5

1. Name and Address of Reporting Person^*
MULFORD, RAND P.

(Last) (First) (Middle)2178 Caminito Del Barco

(Street)Del Mar, CA 92014

(City) (State) (Zip)

2. Issuer Name and Ticker
or Trading Symbol

ZYMETX, INC. ZMTX

3. I.R.S. Identification
    Number of Reporting
    Person, if an entity
    (voluntary)

4. Statement for
(Month/Year)

October 2001

5. If Amendment,
Date of Original
(Month/Year)

6. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
X Director 10% Owner
Officer Other

Officer/Other
Description

7. Individual or Joint/Group
Filing (Check Applicable Line)

X Individual Filing
Joint/Group Filing

Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned

1. Title of Security (Instr. 3)	2. Transaction Date (Month/Day/Year)	3. Transaction Code and Voluntary Code (Instr. 8) Code \| V	4. Securities Acquired (A) or Disposed (D) Of (Instr. 3, 4, and 5) Amount \| A/D \| Price	5. Amount of Securities Beneficially Owned at End of Month (Instr. 3 and 4)	6. Owner- ship Form: Direct(D) or Indirect (I) (Instr. 4)	7. Nature of Indirect Beneficial Ownership (Instr. 4)
COMMON STOCK, par value $.001	10/25/2001	X \|	176,618.48 \| A \| $0.29(1)		I	By Spouse (2)
COMMON STOCK, par value $.001	10/29/2001	S \|	30,722.00 \| D \| $0.70	145,896.48	I	By Spouse (2)

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
* If the form is filed by more than one reporting person, see Instruction 4(b)(v).

(over)
SEC 1474 (3-99)

MULFORD, RAND P. - October 2001

Form 4 (continued)

Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)

1. Title of Derivative Security (Instr. 3)	2. Conver- sion or Exercise Price of Deri- vative Security	3. Transaction Date (Month/ Day/ Year)	4. Transaction Code and Voluntary (V) Code (Instr.8) Code \| V	5. Number of Derivative Securities Acquired (A) or Disposed (D) Of (Instr. 3,4 and 5)	6. Date Exercisable(DE) and Expiration Date(ED) (Month/Day/Year) (DE) \| (ED)	7. Title and Amount of Underlying Securities (Instr. 3 and 4)	8. Price of Derivative Security (Instr.5)	9. Number of Derivative Securities Beneficially Owned at End of Month (Instr.4)	10. Owner- ship Form of Deriv- ative Security: Direct (D) or Indirect (I)	11. Nature of Indirect Beneficial Ownership (Instr.4)
5% Senior Convertible Debenture	$0.29 (1)	10/25/2001	X \|	(D) 50,389.00	11/01/2000 \| 10/12/2002	COMMON STOCK, par value $.001 - 176,618.48		0.00	I	By Spouse (2)
Common Stock Purchase Warrant	$3.17				11/01/2000 \| 11/01/2005	COMMON STOCK, par value $.001 - 4,320.00		4,320.00	I	By Spouse
Non-Qualified Stock Options 11-99	$2.06				11/17/2000 \| 11/17/2009	COMMON STOCK, par value $.001 - 25,000.00		25,000.00	D
Non-Qualified Stock Options 4-00	$2.88				04/12/2001 \| 04/12/2010	COMMON STOCK, par value $.001 - 25,000.00		25,000.00	D

Explanation of Responses :

** Intentional misstatements or omissions of facts constitute Federal Criminal Violations.
See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).

Note: File three copies of this Form, one of which must be manually signed. If space is insufficient,
See Instruction 6 for procedure.

Potential persons who are to respond to the collection of information contained in this form are not
required to respond unless the form displays a currently valid OMB number.

________________________________ __________________
** Signature of Reporting Person Date

/s/ Rand P. Mulford
RAND P. MULFORD

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SEC 1474 (3-99)

MULFORD, RAND P. - October 2001

Form 4 (continued)

FOOTNOTE Descriptions for ZYMETX, INC. ZMTX

Form 4 - October 2001

RAND P. MULFORD
2178 Caminito Del Barco

Del Mar, CA 92014
Explanation of responses:

(1) Initial conversion price of $3.124836 was adjusted downward on April 13, 2001, July 13, 2001, and October 13, 2001, in accordance with ZymeTx's 5% SENIOR CONVERTIBLE DEBENTURE dated November 1, 2001.
(2) Paula M. Mulford and Associates.

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ZYMETX INC 4