Mathematics Inspired by Biology

Diekmann, Odo.

Mathematics Inspired by Biology Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Martina Franca, Italy, June 13–20, 1997 / [electronic resource] : by Odo Diekmann, Richard Durrett, Karl Peter Hadeler, Philip K. Maini, Hal Smith ; edited by Vincenzo Capasso. - X, 274 p. online resource. - C.I.M.E. Foundation Subseries ; 1714 . - C.I.M.E. Foundation Subseries ; 1714 .

Modeling and analysing physiologically structured populations -- Stochastic spatial models -- Reaction transport systems in biological modelling -- Mathematical models in morphogenesis -- Dynamics of competition.

The summer school on Mathematics inspired by Biology was held at Martina Franca, Apulia, Italy in 1997. This volume presents five series of six lectures each. The common theme is the role of structure in shaping transient and ultimate dynamics. But the type of structure ranges from spatial (hadeler and maini in the deterministic setting, Durrett in the stochastic setting) to physiological (Diekmann) and order (Smith). Each contribution sketches the present state of affairs while, by including some wishful thinking, pointing at open problems that deserve attention.

9783540481706

10.1007/BFb0092373 doi


Differentiable dynamical systems.
Distribution (Probability theory.
Statistical physics.
Mathematical and Computational Biology.
Dynamical Systems and Ergodic Theory.
Probability Theory and Stochastic Processes.
Complex Systems.
Statistical Physics and Dynamical Systems.

QH323.5 QH324.2-324.25

570.285
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