An Operator Semigroup in Mathematical Genetics (SpringerBriefs in Applied Sciences and Technology / SpringerBriefs in Mathematical Methods)

Bobrowski, Adam; Kimmel, Marek

ISBN 10: 3642359574 / ISBN 13: 9783642359576

Published by Springer, 2015

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Bibliographic Details

• Title: An Operator Semigroup in Mathematical Genetics (SpringerBriefs in Applied Sciences and Technology / SpringerBriefs in Mathematical Methods)
• Publisher: Springer
• Publication Date: 2015
• Language: English
• ISBN 10: 3642359574
• ISBN 13: 9783642359576
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

From the Back Cover

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 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 semigroup theory. 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.