Operator Semigroup in Mathematical Genetics

Beschreibung:

Series: SpringerBriefs in Applied Sciences and Technology. Num Pages: 94 pages, 1 black & white illustrations, 8 colour illustrations, biography. BIC Classification: PBKF; PBW; PSAK; PSVH. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 5. Weight in Grams: 162. . 2015. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9783642359576

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Inhaltsangabe:

Von der hinteren Coverseite: 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.