Title | Mathematical Topics in Population Biology, Morphogenesis and Neurosciences [electronic resource] : Proceedings of an International Symposium held in Kyoto, November 10-15, 1985 / edited by Ei Teramoto, Masaya Yumaguti |
---|---|
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1987 |
Connect to | http://dx.doi.org/10.1007/978-3-642-93360-8 |
Descript | X, 352 p. online resource |
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 โ stochastic selection as an alternative to random drift โ -- 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