An Operator Semigroup in Mathematical Genetics

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Lyapunov Equation Model of Drift and Mutation: Population Dependence and Asymptotic Behavior, SpringerBriefs in Applied Sciences and Technology – SpringerBriefs in Mathematical Methods

ISBN: 3642359574
ISBN 13: 9783642359576
Autor: Bobrowski, Adam/Kimmel, Marek
Verlag: Springer Verlag GmbH
Umfang: vi, 88 S., 1 s/w Illustr., 8 farbige Illustr., 88 p. 9 illus., 8 illus. in color.
Erscheinungsdatum: 27.03.2015
Auflage: 1/2015
Produktform: Kartoniert
Einband: KT

Combines genetic models with advanced mathematicsContains examples based on human evolution dataWritten by leading experts in the fieldIncludes supplementary material: sn.pub/extras

Artikelnummer: 4210107 Kategorie:

Beschreibung

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.

Autorenporträt

Inhaltsangabe1 Introduction.- 2 Genetic background.- 3 Motivating example.- 4 Mathematical tools.- 5 Master Equation.- 6 Epilogue.

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