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An Alternative Explicit Model Expression Equivalent to the Integrated Michaelis-Menten Equation and Its Application to Nonlinear Saturation Pharmacokinetics

Marko Golicnik
Journal / Anthology

Therapeutic Drug Monitoring
Year: 2011
Volume: 33
Issue: 3
Page range: 362-365

Many pharmacodynamic processes can be described by the nonlinear saturation kinetics that are most frequently based on the hyperbolic Michaelis-Menten equation. Thus, various timedependent solutions for drugs obeying such kinetics can be expressed in terms of the Lambert W(x)-omega function. However, unfortunately, computer programs that can perform the calculations for W(x) are not widely available. To avoid this problem, the replacement of the integrated Michaelis-Menten equation with an empiric integrated 1 exp alternative model equation was proposed recently by Keller et al. (Ther Drug Monit. 2009;31:783785), although, as shown here, it was not necessary.