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The Mathematical Theory of Selection, Recombination, and Mutation

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Published by Wiley .
Written in English


  • Evolution,
  • Genetics (non-medical),
  • Mathematics for scientists & engineers,
  • Mathematics,
  • Science/Mathematics,
  • Applied,
  • Life Sciences - Evolution,
  • Mathematics / Applied,
  • Science-Life Sciences - Evolution,
  • Mathematical models,
  • Population genetics

Book details:

Edition Notes

Wiley Series in Mathematical & Computational Biology

The Physical Object
Number of Pages422
ID Numbers
Open LibraryOL7632278M
ISBN 100471986534
ISBN 109780471986539

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The recombination equation is a well-known nonlinear system of ordinary differential equations from mathematical population genetics (see [13] for the general background), which describes the. Tutorials in Mathematical Biosciences IV. Lect. Notes Math. , pp. - Berlin Heidelberg New York: Springer. pp. A study by Burger and Gimelfarb () shows that temporal environmental variation can lead to a strong increase in genetic variation in the presence of mutation but otherwise, in general, depletes genetic variation. A model of phenotype evolution incorporating mutation, selection, and recombination is investigated. The model consists of a partial differential equation for population density with respect to a continuous variable representing phenotype diversity. Mutation is modeled by diffusion, selection is modeled by differential phenotype fitness, and genetic recombination is modeled by an averaging Cited by:   A central part of the theory is the response to selection equation and the concept of heritability. A fundamental theorem states that the heritability is equal to the regression coefficient of parent to offspring. The theory is applied to analyze selection, mutation and by:

  A mathematical theory of natural and artifical selection. Part V. Selection and mutation. Proceedings of the Cambridge Philosophical Soci –   A polygenic model has been simulated in order to reveal the process whereby selection in an infinite population can lead to an increase in the frequency of alleles causing higher rates of recombination (CH alleles).Directional selection generates repulsion linkage disequilibrium (+ − + −), which is less strong in CH gametes (gametes carrying CH alleles).Cited by: This is the first of a planned two-volume work discussing the mathematical aspects of population genetics, with an emphasis on the evolutionary theory. This first volume draws heavily from the author's classic edition since the material in that edition may be taken, to a large extent, as introductory to the contemporary theory. The Mathematical Impossibility of Evolution. According to the most-widely accepted theory of evolution today, the sole mechanism for producing evolution is that of random mutation combined with natural selection. Mutations are random changes in genetic systems. Natural selection is considered by evolutionists to be a sort of sieve, which.

The mathematical theory of selection, recombination, and mutation. [R Bürger] -- "Population genetics is concerned with the study of the genetic, ecological, and evolutionary factors that influence and change the genetic composition of populations. A Mutation-Selection Model with Recombination for General Genotypes About this Title Steven N. Evans, Department of Statistics, Evans Hall, University of California, Berkeley, California , David Steinsaltz, Department of Statistics, 1 South Parks Road, Oxford, OX1 3TG, United Kingdom and Kenneth W. Wachter, Department of Demography, Piedmont Avenue, University . Mutation and recombination can thus be fairly compared, and various general hypotheses will be made concerning the relative aspects of recombination and mutation. This comparison occurs in Chap. : William Spears. The Mathematical Theory of Selection, Recombination, and Mutation. John Wiley & Sons. ISBN Full text not available from this repository. Abstract. Population genetics is concerned with the study of the genetic, ecological, and evolutionary factors that influence and change the genetic composition of by: