Example: Phenytoin is an antiepileptic drug used in the treatment of tonic-clonic and partial seizures. The steady state conc achieved following administration of 125 mg q 12 hr to an epileptic patient was 4.44 mg/L while the steady state conc achieved in the same patient following administration of 250 mg q 12 hr was 20 mg/L. Calculate phenytoin Vmax and Km in this patient mathematically.

The following two equations can be constructed from the available information:

(1) 250 mg

day
=

Vmax 4.44 mg/L

Km + 4.44 mg/L

(1) 500 mg

day
=

Vmax 20 mg/L

Km + 20 mg/L

These are two equations that have two unknown terms. Solving the two equations simultaneously, the value of these parameters can be determined.

Answer :

Mathematically :

Vmax = 700 mg/day
Km = 8 mg/L