On Mathematical Modelling in Biology and Medicine
Treść / Zawartość
A comparison of input ideas and data as well as goals of mathematical models used in physics and biology is briefly discussed. The models used in biology and medicine are divided into „static" and „dynamical" ones and typical schemes of their construction and analysis are given. The main part of the paper concerns dynamical models describing the time evolution of modelled systems in the form of differential eąuations, Some examples are treated in a more detailed way with a stress on their analysis by means of the qualitative theory of differential eąuations. The quantitative (in particular, numerical) and the qualitative approaches to the model analysis in biology are discussed and compared. Arguments in favour of the qualitative approach in many biological problems are given.