04223nam 2200589 450 991082811680332120220523053353.00-8218-9511-7(CKB)3780000000000125(EBL)3114412(SSID)ssj0000889084(PQKBManifestationID)11566325(PQKBTitleCode)TC0000889084(PQKBWorkID)10881939(PQKB)10694146(MiAaPQ)EBC3114412(RPAM)17588081(PPN)195408284(EXLCZ)99378000000000012520150416h20122012 uy 0engur|n|---|||||txtccrA mutation-selection model with recombination for general genotypes /Steven N. Evans, David Steinsaltz, Kenneth W. WachterProvidence, Rhode Island :American Mathematical Society,2012.©20121 online resource (128 p.)Memoirs of the American Mathematical Society,1947-6221 ;Volume 222, Number 1044"March 2013, Volume 222, Number 1044 (third of 5 numbers)."0-8218-7569-8 Includes bibliographical references and index.Contents -- Abstract -- Chapter 1. Introduction -- 1.1. Informal description of the limit model -- 1.2. Example I: Mutation counting -- 1.3. Example II: Polynomial selective costs -- 1.4. Example III: Demographic selective costs -- 1.5. Comments on the literature -- 1.6. Overview of the remainder of the work -- Chapter 2. Definition, Existence, and Uniqueness of the Dynamical System -- 2.1. Spaces of measures -- 2.2. Definition of the dynamical system -- 2.3. Existence and uniqueness of solutions -- 2.4. Lemmas used in the proof of existence and uniqueness -- Chapter 3. Equilibria -- 3.1. Introductory example: One-dimensional systems -- 3.2. Introductory example: Multiplicative selective costs -- 3.3. Frechet derivatives -- 3.4. Existence of equilibria via perturbation -- 3.5. Concave selective costs -- 3.6. Concave selective costs: Existence and stability of equilibria -- 3.7. Iterative computation of the minimal equilibrium -- 3.8. Stable equilibria in the concave setting via perturbation -- 3.9. Equilibria for demographic selective costs -- Chapter 4. Mutation, Selection, and Recombination in Discrete Time -- 4.1. Mutation and selection in discrete time -- 4.2. Recombination in discrete time -- 4.3. Recombination trees and annealed recombination -- 4.4. Vintages -- Chapter 5. Shattering and the Formulation of the Convergence Result -- 5.1. Shattering of random measures -- 5.2. Consequences of shattering -- 5.3. Convergence to Poisson of iterated recombination -- 5.4. Atoms in the initial intensity -- 5.5. Preview of the main convergence result -- Chapter 6. Convergence with Complete Poissonization -- Chapter 7. Supporting Lemmas for the Main Convergence Result -- 7.1. Estimates for Radon-Nikodym derivatives -- 7.2. Comparisons with complete Poissonization -- Chapter 8. Convergence of the Discrete Generation System -- 8.1. Outline of the proof -- 8.2. The convergence theorem -- Appendix A. Results Cited in the Text -- A.1. Gronwall's Inequality -- A.2. Two expectation approximations -- A.3. Identities for Poisson random measures -- A.4. Bounds for Poisson random measures -- A.5. Bounds for Radon-Nikodym derivatives -- Bibliography -- Index -- Glossary of Notation.Memoirs of the American Mathematical Society ;Volume 222, Number 1044.Evolutionary geneticsMutation (Biology)Genetic recombinationEvolutionary genetics.Mutation (Biology)Genetic recombination.572.8/38Evans Steven N(Steven Neil),314671Steinsaltz David1966-Wachter Kenneth W.MiAaPQMiAaPQMiAaPQBOOK9910828116803321A mutation-selection model with recombination for general genotypes4038395UNINA