ABSTRACT

This chapter shows show how to use Mathematica for biokinetic and pharmacokinetic modeling, mainly in the context of building multi-compartment models and nonlinear models using differential equations. These models also have many applications in a wide variety of fields such as: chemical kinetics, clinical and nuclear medicine, ecology and internal dosimetry, among others. The chapter covers the statistical analysis of experimental data with a special emphasis on how to estimate parameters and perform optimal experimental designs. Some of the functions described in the following sections are part of the Biokomod toolbox, created by the author to make this type of modeling in Mathematica easier. The chapter shows how someone with a good knowledge of the Wolfram Programming Language can create a collection of functions and put them together in a package to help people without much knowledge of either Mathematica or the mathematical methods behind the package functions solve relatively complex problems.