Overview
- Combines genetic models with advanced mathematics
- Contains examples based on human evolution data
- Written by leading experts in the field
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)
Part of the book sub series: SpringerBriefs in Mathematical Methods (BRIEFSMATHMETH)
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Table of contents (6 chapters)
Keywords
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)
Authors and Affiliations
Bibliographic Information
Book Title: An Operator Semigroup in Mathematical Genetics
Authors: Adam Bobrowski, Marek Kimmel
Series Title: SpringerBriefs in Applied Sciences and Technology
DOI: https://doi.org/10.1007/978-3-642-35958-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2015
Softcover ISBN: 978-3-642-35957-6Published: 27 March 2015
eBook ISBN: 978-3-642-35958-3Published: 16 March 2015
Series ISSN: 2191-530X
Series E-ISSN: 2191-5318
Edition Number: 1
Number of Pages: VI, 88
Number of Illustrations: 1 b/w illustrations, 8 illustrations in colour
Topics: Genetics and Population Dynamics, Operator Theory, Biomedical Engineering and Bioengineering, Probability Theory and Stochastic Processes, Animal Genetics and Genomics