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An Operator Semigroup in Mathematical Genetics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An Operator Semigroup in Mathematical Genetics/ by Adam Bobrowski, Marek Kimmel.
Author:	Bobrowski, Adam.
other author:	Kimmel, Marek.
Description:	VI, 88 p. 9 illus., 8 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Biomathematics. -
Online resource:	https://doi.org/10.1007/978-3-642-35958-3
ISBN:	9783642359583

An Operator Semigroup in Mathematical Genetics
Bobrowski, Adam.

An Operator Semigroup in Mathematical Genetics[electronic resource] /by Adam Bobrowski, Marek Kimmel. - 1st ed. 2015. - VI, 88 p. 9 illus., 8 illus. in color.online resource. - SpringerBriefs in Mathematical Methods,2365-0826. - SpringerBriefs in Mathematical Methods,.

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

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.

ISBN: 9783642359583

Standard No.: 10.1007/978-3-642-35958-3doiSubjects--Topical Terms:

527725
Biomathematics.

LC Class. No.: QH323.5

Dewey Class. No.: 576.58

An Operator Semigroup in Mathematical Genetics
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