Titlebook: Mathematical Methods in Biology and Neurobiology; Jürgen Jost Textbook 2014 Springer-Verlag London 2014 Branching Processes.Coalescents.Dy

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Pattern Formation,tions to model distributions in physical or feature spaces. The combination of the two in reaction-diffusion systems leads to mathematical models like the Turing mechanism that can generate surprisingly rich patterns. Another example we treat is chemotaxis where organisms can be induced to collectiv

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Optimization, problem is the best allocation of finite resources to different tasks. We develop this in a simple setting. As an application, we can explain why sexual reproduction is prevalent inspite of its apparent shortcomings. We also introduce the calculus of variations as the mathematical theory for the op

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Population Genetics,roduces mathematical population genetics, the theory of the time course of the distribution of alleles in a population in the presence of mutation, selection, and recombination. The basic Wright-Fisher model is a discrete stochastic processes. In order to understand it better, it is advantageous to

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