Ebook: Mathematical Topics in Population Biology, Morphogenesis and Neurosciences: Proceedings of an International Symposium held in Kyoto, November 10–15, 1985

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.

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The Kyoto meeting had the objective of promoting research development in mathematical biology, in particular of enhancing cooperative research activity on an international scale and of encouraging a broadening exchange of information. The papers collected here deal with current topics of research in mathematical biology, and are classified into three chapters: I. Mathematical ecology and population biology; II. Mathematical theories of pattern and morphogenesis; III. Theoretical neurosciences and related problems in physiology. They present the newest results on various important problems in these respective areas.

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The Kyoto meeting had the objective of promoting research development in mathematical biology, in particular of enhancing cooperative research activity on an international scale and of encouraging a broadening exchange of information. The papers collected here deal with current topics of research in mathematical biology, and are classified into three chapters: I. Mathematical ecology and population biology; II. Mathematical theories of pattern and morphogenesis; III. Theoretical neurosciences and related problems in physiology. They present the newest results on various important problems in these respective areas.
Content:
Front Matter....Pages I-IX
Chaos and Fractals....Pages 1-9
Recurrent Themes in Mathematical Biology....Pages 10-29
Front Matter....Pages 31-31
Fantastic Voyage into the Deep: Marine Biofluid Mechanics....Pages 32-47
On the mathematical synthesis of physiological and behavioural mechanisms and population dynamics....Pages 48-52
A Necessary and Sufficient Assembly Rule for Real Ecosystems....Pages 53-59
Markovian Foraging Models....Pages 60-69
The Theory of Population Dynamics: Back to First Principles....Pages 70-79
Ecological and Evolutionary Aspects of Dispersal....Pages 80-87
The Speeds of Traveling Frontal Waves in Heterogeneous Environments....Pages 88-97
Quantitative Modeling of Growth and Dispersal in Population Models....Pages 98-109
The Interaction between Dispersal and Dormancy Strategies in Varying and Heterogeneous Environments....Pages 110-122
Segregation Structures of Competing Species Mediated by a Diffusive Predator....Pages 123-133
A spatially aggregating population model involving size-distributed dynamics....Pages 134-143
Evolution of The Number of Sexes....Pages 144-153
A Lattice Model for Population Biology....Pages 154-161
Population Genetical Mechanism of Molecular Evolution....Pages 162-171
Evolutionary and Ecological Stability of Prey-Predator Systems with Predatory Switching....Pages 172-181
Front Matter....Pages 183-183
Pattern formation by coupled oscillations: The pigmentation patterns on the shells of molluscs....Pages 184-198
From Map Systems to Plant Morphogenesis....Pages 199-208
The Cortical Tractor: A New Model For Epithelial Morphogenesis....Pages 209-216
Front Matter....Pages 183-183
A Density Dependent Model for Prestalk/Prespore Pattern Formation in Dictyostelium discoideum I. Basic Mathematical Framework....Pages 217-223
Origin of Bursting and Birhythmicity in a Model for Cyclic AMP Oscillations in Dictyostelium Cells....Pages 224-233
Front Matter....Pages 234-243
Mathematical Modelling of Macroscopic Brain Phenomena....Pages 244-255
A Formal Classification of Bursting Mechanisms in Excitable Systems....Pages 257-257
On the Topological Representation of Signals in Self-Organizing Nerve Fields....Pages 258-266
The Dynamics of a Glia-Modulated Neural Network and its Relation to Brain Functions....Pages 267-281
Self-Organization in Nervous Systems: Some Illustrations....Pages 282-291
Toward Molecular Sensory Physiology: Mathematical Models....Pages 292-300
Outline of Some Recent Results on the First-Passage-Time Problem in Biological Modeling....Pages 301-312
Active Rotator Model for Large Populations of Oscillatory and Excitable Elements....Pages 313-321
The Harnessing and Stability of Striated Muscle....Pages 322-328
Back Matter....Pages 329-337
....Pages 338-348