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Mathematical Modelling of Evolution: Volume 1: One-Locus and Multi-Locus Theory and Recombination

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The book will benefit a reader with a background in physical sciences and applied mathematics interested in the mathematical models of genetic evolution. In the first chapter, we analyze several thought experiments based on a basic model of stochastic evolution of a single genomic site in the presence of the factors of random mutation, directional natural selection, and random genetic drift. In the second chapter, we present a more advanced theory for a large number of linked loci. In the third chapter, we include the effect of genetic recombination into account and find out the advantage of sexual reproduction for adaptation. These models are useful for the evolution of a broad range of asexual and sexual populations, including virus evolution in a host and a host population.

Author(s): Igor M. Rouzine
Series: De Gruyter Series in Mathematics and Life Sciences
Publisher: De Gruyter
Year: 2020

Language: English
Pages: 181
City: Berlin

Preface
Contents
Chapter 1 Basic theory of one-locus evolution
Chapter 2 Multi-locus theory of asexual populations
Chapter 3 Multi-site evolution with recombination
References
De Gruyter Series in Mathematics and Life Sciences