Mathematical topics in population biology, morphogenesis, and neurosciences : proceedings of an international symposium held in Kyoto, November 10-15, 1985

Introductory Lectures.- Chaos and fractals.- Recurrent themes in mathematical biology.- I. Mathematical Ecology and Population Biology.- The Structure of Populations and Communities.- Fantastic voyage into the deep: marine biofluid mechanics.- On the mathematical synthesis of physiological and behavioural mechanisms and population dynamics.- A necessary and sufficient assembly rule for real ecosystems.- Markovian foraging models.- The theory of population dynamics: back to first principles.- Dispersal.- Ecological and evolutionary aspects of dispersal.- The speeds of traveling frontal waves in heterogeneous environments.- Quantitative modeling of growth and dispersal in population models.- The interaction between dispersal and dormancy strategies in varying and heterogeneous environments.- Segregation structures of competing species mediated by a diffusive predator.- A spatially aggregating population model involving size-distributed dynamics.- Evolution.- Evolution of the number of sexes.- A lattice model for population biology.- Population genetical mechanism of molecular evolution - stochastic selection as an alternative to random drift -.- Evolutionary and ecological stability of prey-predator systems with predatory switching.- II. Mathematical Theories of Pattern and Morphogenesis.- Morphogenesis and Pattern Formation.- Pattern formation by coupled oscillations: the pigmentation patterns on the shells of molluscs.- From map systems to plant morphogenesis.- The cortical tractor: a new model for epithelial morphogenesis.- Pattern Formation in Dictyostelium discoideum.- An equilibrium theory of cell distribution in Dictyostelium discoideum.- A model for pattern formation in Dictyostelium discoideum.- A density dependent model for prestalk/prespore pattern formation in Dictyostelium discoideum I. Basic mathematical framework.- Origin of bursting and birhythmicity in a model for cyclic AMP oscillations in Dictyostelium cells.- III. Theoretical Neurosciences and Related Problems in Physiology.- Neurosciences.- Mathematical modelling of macroscopic brain phenomena.- A formal classification of bursting mechanisms in excitable systems.- On the topological representation of signals in self-organizing nerve fields.- The dynamics of a glia-modulated neural network and its relation to brain functions.- Self-organization in nervous systems: some illustrations.- Physiology and Related Problems.- Toward molecular sensory physiology: mathematical models.- Outline of some recent results on the first-passage-time problem in biological modeling.- Active rotator model for large populations of oscillatory and excitable elements.- The harnessing and stability of striated muscle.