An Operator Semigroup in Mathematical Genetics

Lyapunov Equation Model of Drift and Mutation: Population Dependence and Asymptotic Behavior

An Operator Semigroup in Mathematical Genetics

Lyapunov Equation Model of Drift and Mutation: Population Dependence and Asymptotic Behavior

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This authored monograph presents a mathematical description of the time evolution of neutral genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its solutions, with respect to different mutation models and demographic patterns, can be characterized using operator semi group theory.

Mutation and drift are two of the main genetic forces, which act on genes of individuals in populations. Their effects are influenced by population dynamics. This book covers the application to two mutation models: single step mutation for microsatellite loci and single-base substitutions. The effects of demographic change to the asymptotic of the distribution are also covered. The target audience primarily covers researchers and experts in the field but the book may also be beneficial for graduate students.



1 Introduction
2 Genetic background
3 Motivating example
4 Mathematical tools
5 Master Equation
6 Epilogue.
ISBN 978-3-642-35957-6
Artikelnummer 9783642359576
Medientyp Buch
Auflage 2015
Copyrightjahr 2015
Verlag Springer, Berlin
Umfang VI, 88 Seiten
Abbildungen VI, 88 p. 9 illus., 8 illus. in color.
Sprache Englisch