An Operator Semigroup in Mathematical Genetics (SpringerBriefs in Applied Sciences and Technology) - Softcover

Book 39 of 322: SpringerBriefs in Applied Sciences and Technology

Bobrowski, Adam; Kimmel, Marek

 
9783642359576: An Operator Semigroup in Mathematical Genetics (SpringerBriefs in Applied Sciences and Technology)
Softcover
ISBN 10: 3642359574 ISBN 13: 9783642359576
Publisher: Springer, 2015

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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 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 semigroup theory. 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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2015
Language
English
ISBN 10 
3642359574
ISBN 13 
9783642359576
Binding
Paperback
Number of pages
94