SpringerBriefs in Mathematical Methods

An Operator Semigroup in Mathematical Genetics

Authors: Bobrowski, Adam, Kimmel, Marek

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  • Combines genetic models with advanced mathematics
  • Contains examples based on human evolution data
  • Written by leading experts in the field
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  • ISBN 978-3-642-35958-3
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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)

Table of contents (6 chapters)

Buy this book

eBook $54.99
price for USA in USD
  • ISBN 978-3-642-35958-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-642-35957-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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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
Series ISSN
2365-0826
Edition Number
1
Number of Pages
VI, 88
Number of Illustrations
1 b/w illustrations, 8 illustrations in colour
Topics