Euler’s and taylor’s expansion method applied on non-linear pharmacokinetics model

Abstract

There are many applications in pharmacokinetic described and modelled by linear or non-linear differential equation systems. These non-linarities can be considered in pharmacokinetic model parameters and the pharmacokinetics of drug action. The Euler’s- and Taylor’s expansion methods are applied for numerical solution pharmacokinetic equations. A fictitious exciting functions method makes possible numerical solution of this DE system with non-stationary matrices. The solutions of warfarin target-mediated drug disposition are presented as well.