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Stochastic Methods in Biology

Proceedings of a Workshop held in Nagoya, Japan July 8–12 1985

  • Motoo Kimura
  • Gopinath Kallianpur
  • Takeyuki Hida

Part of the Lecture Notes in Biomathematics book series (LNBM, volume 70)

Table of contents

  1. Front Matter
    Pages I-VI
  2. Population Genetics

  3. Measure-Valued Diffusion Processes Related to Population Genetics

  4. Neurophysiology

    1. Front Matter
      Pages 115-115
    2. G. Kallianpur, Robert L. Wolpert
      Pages 116-145
  5. Fluctuation in Living Cells

    1. Front Matter
      Pages 157-157
    2. Fumio Oosawa, Masateru Tsuchiya, Tomoko Kubori
      Pages 158-170
    3. Hisao Watanabe
      Pages 171-173
  6. Mathematical Methods Related to Other Problems in Biology, Epidemiology, Population Dynamics, etc.

  7. Back Matter
    Pages 230-233

About these proceedings

Introduction

The use of probabilistic methods in the biological sciences has been so well established by now that mathematical biology is regarded by many as a distinct dis­ cipline with its own repertoire of techniques. The purpose of the Workshop on sto­ chastic methods in biology held at Nagoya University during the week of July 8-12, 1985, was to enable biologists and probabilists from Japan and the U. S. to discuss the latest developments in their respective fields and to exchange ideas on the ap­ plicability of the more recent developments in stochastic process theory to problems in biology. Eighteen papers were presented at the Workshop and have been grouped under the following headings: I. Population genetics (five papers) II. Measure valued diffusion processes related to population genetics (three papers) III. Neurophysiology (two papers) IV. Fluctuation in living cells (two papers) V. Mathematical methods related to other problems in biology, epidemiology, population dynamics, etc. (six papers) An important feature of the Workshop and one of the reasons for organizing it has been the fact that the theory of stochastic differential equations (SDE's) has found a rich source of new problems in the fields of population genetics and neuro­ biology. This is especially so for the relatively new and growing area of infinite dimensional, i. e. , measure-valued or distribution-valued SDE's. The papers in II and III and some of the papers in the remaining categories represent these areas.

Keywords

dynamics epidemiology genetics population dynamics probability distribution

Editors and affiliations

  • Motoo Kimura
    • 1
  • Gopinath Kallianpur
    • 2
  • Takeyuki Hida
    • 3
  1. 1.National Institute of GeneticsShizuoka-ken, 411Japan
  2. 2.Center for Stochastic Processes, Department of StatisticsUniversity of North CarolinaChapel HillUSA
  3. 3.Department of Mathematics, Faculty of ScienceNagoya UniversityChikusa-ku, Nagoya, 464Japan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-46599-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-17648-0
  • Online ISBN 978-3-642-46599-4
  • Series Print ISSN 0341-633X
  • Buy this book on publisher's site