Advertisement

Stochastic Problems in Population Genetics

  • Takeo¬†Maruyama

Part of the Lecture Notes in Biomathematics book series (LNBM, volume 17)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Takeo Maruyama
    Pages 1-23
  3. Takeo Maruyama
    Pages 24-35
  4. Takeo Maruyama
    Pages 36-42
  5. Takeo Maruyama
    Pages 74-94
  6. Takeo Maruyama
    Pages 102-120
  7. Takeo Maruyama
    Pages 121-129
  8. Takeo Maruyama
    Pages 130-155
  9. Takeo Maruyama
    Pages 156-186
  10. Takeo Maruyama
    Pages 201-217
  11. Back Matter
    Pages 218-247

About this book

Introduction

These are" notes based on courses in Theoretical Population Genetics given at the University of Texas at Houston during the winter quarter, 1974, and at the University of Wisconsin during the fall semester, 1976. These notes explore problems of population genetics and evolution involving stochastic processes. Biological models and various mathematical techniques are discussed. Special emphasis is given to the diffusion method and an attempt is made to emphasize the underlying unity of various problems based on the Kolmogorov backward equation. A particular effort was made to make the subject accessible to biology students who are not familiar with stochastic processes. The references are not exhaustive but were chosen to provide a starting point for the reader interested in pursuing the subject further. Acknowledgement I would like to use this opportunity to express my thanks to Drs. J. F. Crow, M. Nei and W. J. Schull for their hospitality during my stays at their universities. I am indebted to Dr. M. Kimura for his continuous encouragement. My thanks also go to the small but resolute groups of.students, visitors and colleagues whose enthusiasm was a great source of encouragement. I am especially obliged to Dr. Martin Curie-Cohen and Dr. Crow for reading a large part eX the manuscript and making many valuable comments. Special gratitude is expressed to Miss Sumiko Imamiya for her patience and endurance and for her efficient preparation of the manuscript.

Keywords

Biomathematik Derivation Finite Invariant Markov process Populationsgenetik Stochastischer Prozess equation function mathematics random walk variable

Authors and affiliations

  • Takeo¬†Maruyama
    • 1
  1. 1.National Institute of GeneticsSizuoka-Ken 411Japan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-93065-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1977
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-08349-8
  • Online ISBN 978-3-642-93065-2
  • Series Print ISSN 0341-633X
  • Buy this book on publisher's site