Lumped Parameter Modelling with Ordinary Differential Equations

Abstract

This chapter presents an overview of ordinary differential equations and their use in lumped parameter modelling of physical systems and physiological processes. Methods are described on how to solve some ODEs analytically, followed by a brief overview of numerical solution approaches using Matlab. Detailed examples are presented from models in cardiovascular dynamics and neural activation, followed by sample problems with fully-worked solutions given at the end of the text.