2. Mathematical and Numerical Foundation

Abstract

The mathematical modeling of biological systems is a subtopic of computational biology. This kind of modeling permits new insights into biological systems with the aid of numerical methods and computer systems. The modeling necessitates knowledge concerning useful mathematical notation and efficient numerical treatment of the occurring equations. The topic of this chapter is to give a summary and description of these mathematical fields, which are of importance in the context of this work for the mechanical and electrophysiological modeling of a specific biological system, i.e. the mammalian heart.