Overview

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.

Full Product Details

Author:   Adam Bobrowski ,  Marek Kimmel
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2015 ed.
Dimensions:   Width: 15.50cm , Height: 0.50cm , Length: 23.50cm
Weight:   1.591kg
ISBN:  

9783642359576

ISBN 10:   3642359574
Pages:   88
Publication Date:   27 March 2015
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

1 Introduction.- 2 Genetic background.- 3 Motivating example.- 4 Mathematical tools.- 5 Master Equation.- 6 Epilogue.

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)

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