A mutationselection model with recombination for general genotypes
 Author/Creator
 Evans, Steven N. (Steven Neil)
 Language
 English.
 Publication
 Providence, Rhode Island : American Mathematical Society, 2013.
 Physical description
 viii, 128 pages ; 26 cm.
 Series
 Memoirs of the American Mathematical Society ; no. 1044.
Access
Available online

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QA3 .A57 NO.1044

Unknown
QA3 .A57 NO.1044
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Contributors
 Contributor
 Steinsaltz, David, 1966
 Wachter, Kenneth W.
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 121123) and index.
 Contents

 Introduction Definition, existence, and uniqueness of the dynamical system Equilibria Mutation, selection, and recombination in discrete time Shattering and the formulation of the convergence result Convergence with complete Poissonization Supporting lemmas for the main convergence result Convergence of the discrete generation system Appendix A. Results cited in the text Bibliography Index Glossary of notation.
 (source: Nielsen Book Data)
 Publisher's Summary
 The authors investigate a continuous time, probability measurevalued dynamical system that describes the process of mutationselection balance in a context where the population is infinite, there may be infinitely many loci, and there are weak assumptions on selective costs. Their model arises when they incorporate very general recombination mechanisms into an earlier model of mutation and selection presented by Steinsaltz, Evans and Wachter in 2005 and take the relative strength of mutation and selection to be sufficiently small. The resulting dynamical system is a flow of measures on the space of loci. Each such measure is the intensity measure of a Poisson random measure on the space of loci: the points of a realisation of the random measure record the set of loci at which the genotype of a uniformly chosen individual differs from a reference wild type due to an accumulation of ancestral mutations. The authors' motivation for working in such a general setting is to provide a basis for understanding mutationdriven changes in agespecific demographic schedules that arise from the complex interaction of many genes, and hence to develop a framework for understanding the evolution of aging.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Responsibility
 Steven N. Evans, David Steinsaltz, Kenneth W. Wachter.
 Series
 Memoirs of the American Mathematical Society, 00659266 ; no. 1044
 Note
 "March 2013, Volume 222, Number 1044 (third of 5 numbers)."
 ISBN
 9780821875698
 0821875698