Numerical Preliminaries

In this first section we will shortly introduce some fundamental
concepts without going to deep into the mathematical details. This
will help you understand how `hsolve` relates to the software
design of Genesis and why it is superior when compared to the other
objects.

The basic problem can be stated as follows:

- A biological model - what we want to compute - is a set of coupled biological components.
- The time-dependent behavior of a biological component is described with a (set of) differential equation(s).
- A single differential equation describes a rate of change of a variable.

To solve a system of differential equations that describes the behavior of a biological system, we use a numerical method. The methods about to be introduced are all based on the Taylor series.

2002-11-15