Methods and Models in Mathematical Biology

The book "Methods and Models in Mathematical Biology" offers a comprehensive introduction to mathematical biology, based on the authors' experiences from courses at the Technical University of Munich. It covers central topics such as modeling principles and mathematical methods for analyzing biological models, as well as model-based data analysis. The key themes of modern biomathematics addressed include areas such as ecology, epidemiology, biochemistry, regulatory networks, neural networks, and population genetics. The work introduces a variety of mathematical methods, including ordinary and partial differential equations, stochastic graph theory, and branching processes. A particular focus is placed on the interplay between stochastic and deterministic models, which is crucial for understanding complex biological systems.