An Operator Semigroup in Mathematical Genetics

Marek Kimmel

ISBN 10: 3642359574 / ISBN 13: 9783642359576

Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Mär 2015, 2015

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Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 96 pp. Englisch.

Codice articolo 9783642359576

Dati bibliografici

• Titolo: An Operator Semigroup in Mathematical Genetics
• Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Mär 2015
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 3642359574
• ISBN 13: 9783642359576
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 6 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 6 millimetri di profondità
• Peso: 160 grammi

Descrizione articolo

Riassunto

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.

Dalla quarta di copertina

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.