Mathematical Topics in Population Biology, Morphogenesis and Neurosciences

1. Front Matter

   Pages I-IX

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2. Introductory Lectures

   1. Chaos and Fractals

      • Masaya Yamaguti

      Pages 1-9

   2. Recurrent Themes in Mathematical Biology

      • Simon A. Levin

      Pages 10-29

3. Mathematical Ecology and Population Biology

   1. Front Matter

      Pages 31-31

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   2. The Structure of Populations and Communities

      1. Fantastic Voyage into the Deep: Marine Biofluid Mechanics

         • Akira Okubo

         Pages 32-47

      2. On the mathematical synthesis of physiological and behavioural mechanisms and population dynamics

         • Odo Diekmann

         Pages 48-52

      3. A Necessary and Sufficient Assembly Rule for Real Ecosystems

         • George Sugihara

         Pages 53-59

      4. Markovian Foraging Models

         • Colin W. Clark, Marc Mangel

         Pages 60-69

      5. The Theory of Population Dynamics: Back to First Principles

         • Lev R. Ginzburg

         Pages 70-79

   3. Dispersal

      1. Ecological and Evolutionary Aspects of Dispersal

         • Simon A. Levin

         Pages 80-87

      2. The Speeds of Traveling Frontal Waves in Heterogeneous Environments

         • Nanako Shigesada, Kohkichi Kawasaki, Ei Teramoto

         Pages 88-97

      3. Quantitative Modeling of Growth and Dispersal in Population Models

         • H. T. Banks, K. A. Murphy

         Pages 98-109

      4. The Interaction between Dispersal and Dormancy Strategies in Varying and Heterogeneous Environments

         • Dan Cohen, Simon A. Levin

         Pages 110-122

      5. Segregation Structures of Competing Species Mediated by a Diffusive Predator

         • Y. Kan-on, M. Mimura

         Pages 123-133

      6. A spatially aggregating population model involving size-distributed dynamics

         • Masayasu Mimura, Shinya Takigawa

         Pages 134-143

   4. Evolution

      1. Evolution of The Number of Sexes

         • Yoh Iwasa, Akira Sasaki

         Pages 144-153

      2. A Lattice Model for Population Biology

         • H. Matsuda, N. Tamachi, A. Sasaki, N. Ogita

         Pages 154-161

      3. Population Genetical Mechanism of Molecular Evolution

         • K. Ishii, H. Inutsuka, H. Matsuda, N. Ogita

         Pages 162-171

      4. Evolutionary and Ecological Stability of Prey-Predator Systems with Predatory Switching

         • Hiroyuki Matsuda, Kohkichi Kawasaki, Nanako Shigesada, Ei Teramoto, Luigi M. Ricciardi

         Pages 172-181

4. Mathematical Theories of Pattern and Morphogenesis

   1. Front Matter

      Pages 183-183

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This volume represents the edited proceedings of the International Symposium on Mathematical Biology held in Kyoto, November 10-15, 1985. The symposium was or­ ganized by an international committee whose members are: E. Teramoto, M. Yamaguti, S. Amari, S.A. Levin, H. Matsuda, A. Okubo, L.M. Ricciardi, R. Rosen, and L.A. Segel. The symposium included technical sessions with a total of 11 invited papers, 49 contributed papers and a poster session where 40 papers were displayed. These Proceedings consist of selected papers from this symposium. This symposium was the second Kyoto meeting on mathematical topics in biology. The first was held in conjunction with the Sixth International Biophysics Congress in 1978. Since then this field of science has grown enormously, and the number of scientists in the field has rapidly increased. This is also the case in Japan. About 80 young japanese scientists and graduate students participated this time. . The sessions were divided into 4 ; , categories: 1) Mathematical Ecology and Population Biology, 2) Mathematical Theory of Developmental Biology and Morphogenesis, 3) Theoretical Neurosciences, and 4) Cell Kinetics and Other Topics. In every session, there were stimulating and active discussions among the participants. We are convinced that the symposium was highly successful in transmitting scientific information across disciplines and in establishing fruitful contacts among the participants. We owe this success to the cooperation of all participants.

• behavior
• biology
• brain
• dynamics
• information
• mathematical biology
• neuroscience
• physiology
• population biology
• population dynamics

• Department of Biolphysics, Faculty of Science, Kyoto University, Sakyo-ku, Kyoto 606, Japan

  Ei Teramoto

• Department of Mathematics, Faculty of Science, Kyoto University, Kitashirakawa Sakyo-ku, Kyoto 606, Japan

  Masaya Yumaguti

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