Introduction to Modelling in Bioengineering

Abstract

This chapter outlines the basic principles of computational modelling with particular application to physiology and medicine. An overview of the modelling process is provided, along with a description of basic model types, including linear versus non-linear, dynamic versus static, deterministic versus stochastic, continuous versus discrete, and rule-based. Finally, an overview of dimensional analysis and model scaling is also provided. Full Matlab code listings are provided for several example models, including stochastic ion channel kinetics, non-linear passive muscle mechanics, neuronal dendritic branching, and glucose-insulin kinetics. The chapter ends with ten problems covering the fundamentals of modelling, with particular relevance to physiological systems, biology and medicine, with solutions provided at the end of the text.