SpringerBriefs in Mathematical Methods

An Operator Semigroup in Mathematical Genetics

Authors: Bobrowski, Adam, Kimmel, Marek

  • Combines genetic models with advanced mathematics
  • Contains examples based on human evolution data
  • Written by leading experts in the field
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eBook $39.99
price for USA (gross)
  • ISBN 978-3-642-35958-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-642-35957-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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

“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)


Table of contents (6 chapters)

  • Introduction

    Bobrowski, Adam (et al.)

    Pages 1-2

  • Genetic Background

    Bobrowski, Adam (et al.)

    Pages 3-18

  • Motivating Example: Population Bottlenecks in the History of Modern Humans, Use of the Imbalance Index

    Bobrowski, Adam (et al.)

    Pages 19-22

  • Mathematical Tools

    Bobrowski, Adam (et al.)

    Pages 23-65

  • Master Equation and Asymptotic Behavior of Its Solutions

    Bobrowski, Adam (et al.)

    Pages 67-83

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-642-35958-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-642-35957-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
An Operator Semigroup in Mathematical Genetics
Authors
Series Title
SpringerBriefs in Mathematical Methods
Copyright
2015
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
The Author(s)
eBook ISBN
978-3-642-35958-3
DOI
10.1007/978-3-642-35958-3
Softcover ISBN
978-3-642-35957-6
Edition Number
1
Number of Pages
VI, 88
Number of Illustrations and Tables
1 b/w illustrations, 8 illustrations in colour
Topics