Branching Processes in Biology

  • Marek Kimmel
  • David E. Axelrod

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 19)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Marek Kimmel, David E. Axelrod
    Pages 1-18
  3. Marek Kimmel, David E. Axelrod
    Pages 19-31
  4. Marek Kimmel, David E. Axelrod
    Pages 33-63
  5. Marek Kimmel, David E. Axelrod
    Pages 65-86
  6. Marek Kimmel, David E. Axelrod
    Pages 87-102
  7. Marek Kimmel, David E. Axelrod
    Pages 103-139
  8. Marek Kimmel, David E. Axelrod
    Pages 141-177
  9. Marek Kimmel, David E. Axelrod
    Pages 179-195
  10. Back Matter
    Pages 197-230

About this book

Introduction

 

This book provides a theoretical background of branching process and discusses their biological applications. Branching processes are a well-developed and powerful set of tools in the field of applied probability. The range of applications considered includes molecular biology, cellular biology, human evolution, and medicine. The branching processes discussed include Galton-Watson, Markov, Bellman-Harris, Multitype, and General Processes. As an aid to understanding specific examples, two introductory chapters and two glossaries are included that provide background material in mathematics and in biology.

The book will be of interest to scientists who work in quantitative modeling of biological systems, particularly probabilists, mathematical biologists, biostatisticians, cell biologists, molecular biologists, and bioinformaticians.

The authors are a mathematician and cell biologist who have collaborated for more than a decade in the field of branching processes in biology.

Keywords

Branching Processes Branching process Galton-Watson process Mathematical Biology biology

Authors and affiliations

  • Marek Kimmel
    • 1
  • David E. Axelrod
    • 2
  1. 1.Department of StatisticsRice UniversityHoustonUSA
  2. 2.Department of GeneticsRutgers University Nelson BiolabsPiscatawayUSA

Bibliographic information

  • DOI https://doi.org/10.1007/b97371
  • Copyright Information Springer Science+Business Media New York 2002
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-95340-3
  • Online ISBN 978-0-387-21639-3
  • Series Print ISSN 0939-6047
  • Series Online ISSN 2196-9973
  • About this book
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