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Stochastic Methods in Biology

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

  • Conference proceedings
  • © 1987

Overview

Editors:
  1. Motoo Kimura

    1. National Institute of Genetics, Shizuoka-ken, 411, Japan

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  2. Gopinath Kallianpur

    1. Center for Stochastic Processes, Department of Statistics, University of North Carolina, Chapel Hill, USA

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  3. Takeyuki Hida

    1. Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, Nagoya, 464, Japan

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

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Table of contents (18 papers)

  1. Front Matter

    Pages I-VI
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  4. Neurophysiology

    1. Front Matter

      Pages 115-115
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    2. Weak Convergence of Stochastic Neuronal Models

      • G. Kallianpur, Robert L. Wolpert
      Pages 116-145

    3. Note on the Ornstein-Uhlenbeck Process Model for Stochastic Activity of a Single Neuron

      • Shunsuke Sato
      Pages 146-156

  5. Fluctuation in Living Cells

    1. Front Matter

      Pages 157-157
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    2. Fluctuation in Living Cells: Effect of Field Fluctuation and Asymmetry of Fluctuation

      • Fumio Oosawa, Masateru Tsuchiya, Tomoko Kubori
      Pages 158-170

    3. Some Aspects of Oosawa’s Equation

      • Hisao Watanabe
      Pages 171-173

  6. Mathematical Methods Related to Other Problems in Biology, Epidemiology, Population Dynamics, etc.

    1. Front Matter

      Pages 175-175
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    2. Problems of Epidemic Modelling

      • J. Gani
      Pages 176-184

    3. Markov Semigroups Associated with One-Dimensional Lévy Operators — Regularity and Convergence —

      • Akira Negoro, Masaaki Tsuchiya
      Pages 185-193
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Keywords

About this book

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.

Editors and Affiliations

  • National Institute of Genetics, Shizuoka-ken, 411, Japan

    Motoo Kimura

  • Center for Stochastic Processes, Department of Statistics, University of North Carolina, Chapel Hill, USA

    Gopinath Kallianpur

  • Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, Nagoya, 464, Japan

    Takeyuki Hida

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