An Operator Semigroup in Mathematical Genetics
1st Edition
Published on 16. March 2015
VI, 88 pages
978-3-642-35958-3 (ISBN)
Description
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.
Reviews / Votes
"This book is a very interesting readable descriptive text in one of the important branches of applied mathematics. It helps readers to gain insight about the application of such deep mathematical tools as the semigroup theory of linear operators in other branches of science." (Ruhollah Jahanipur, zbMATH 1335.92002, 2016)
More details
Series
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
VI, 88 p. 9 illus., 8 illus. in color.
File size
2,94 MB
ISBN-13
978-3-642-35958-3 (9783642359583)
DOI
10.1007/978-3-642-35958-3
Schweitzer Classification
Other editions
Additional editions
Adam Bobrowski | Marek Kimmel
An Operator Semigroup in Mathematical Genetics
Lyapunov Equation Model of Drift and Mutation: Population Dependence and Asymptotic Behavior
Book
03/2015
Springer
€53.49
Shipment within 7-9 days
Content
1 Introduction.- 2 Genetic background.- 3 Motivating example.- 4 Mathematical tools.- 5 Master Equation.- 6 Epilogue.
