Properties of the MichaelisMenten equation and its integrated form which are useful in pharmacokinetics
 John G. Wagner
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Some old equations are reviewed and some new equations have been derived which indicate certain properties of the MichaelisMenten equation and its integrated forms. Simulated data which obey MichaelisMenten kinetics have been plotted in various ways to illustrate special relationships. An equation is derived which accurately estimates the slope of the apparently linear decline (k_{o})of concentrations from the values of C_{o}, K_{m},and V_{m}.This indicates the hybrid nature of k_{o}.It is pointed out that if a metabolite is formed by MichaelisMenten kinetics, then (a)one would not expect linear plots of cumulative amount of metabolite excreted in the urine vs. time, and (b)the plasma clearance of the drug will change with dose, and the plasma clearance of the drug would be expected to be different following administration of the same dose in a rapidly available and a slowly available dosage form. The distortion in parameter values when data arising from MichaelisMenten kinetics are evaluated by classical linear pharmacokinetics is indicated.
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 Title
 Properties of the MichaelisMenten equation and its integrated form which are useful in pharmacokinetics
 Journal

Journal of Pharmacokinetics and Biopharmaceutics
Volume 1, Issue 2 , pp 103121
 Cover Date
 19730401
 DOI
 10.1007/BF01059625
 Print ISSN
 0090466X
 Online ISSN
 15738744
 Publisher
 Kluwer Academic PublishersPlenum Publishers
 Additional Links
 Topics
 Keywords

 MichaelisMenten kinetics
 dosedependent kinetics
 elimination halflife
 areas under blood level curves
 urinary excretion of metabolites
 Industry Sectors
 Authors

 John G. Wagner ^{(1)}
 Author Affiliations

 1. College of Pharmacy and Upjohn Center for Clinical Pharmacology, The University of Michigan, 48104, Ann Arbor, Michigan