ENGLISH

An Operator Semigroup in Mathematical Genetics

By Adam Bobrowski , Marek Kimmel (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2015
ISBN
978-3-642-35957-6, 978-3-642-35958-3
DOI
10.1007/978-3-642-35958-3
Language
english
Format
PDF
Filesize
3 MB (2940698 bytes)
Series
SpringerBriefs in Applied Sciences and Technology
Edition
1
Pages
88\92
Time added
2015-04-23 16:00:00
Genetics and Population Dynamics; Operator Theory;

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.

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