Title | Rhythms in Biology and Other Fields of Application [electronic resource] : Deterministic and Stochastic Approaches Proceedings of the Journรฉes de la Sociรฉtรฉ Mathรฉmatique de France, held at Luminy, France, September 14-18,1981 / edited by Michel Cosnard, Jacques Demongeot, Alain Le Breton |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1983 |
Connect to | http://dx.doi.org/10.1007/978-3-642-46475-1 |
Descript | VIII, 405 p. online resource |
1 Experiments and Modelling in Biology -- Simulation of the entrainment of the respiratory rhythm by two conceptually different models -- Glycolytic oscillations: an attempt to an โin vitroโ reconstruction of the higher part of glycolysis: modelling and experimental approach -- Medical exploration of some rhythmic phenomena: a topological semeiology -- Spatio-temporal organization in immobilized enzyme systems -- Stereological analysis of circadian rhythms in nucleoli of rat sympathetic neurons -- Formalization of adrenal-postpituitory circadian rhythms by the model for the regulation of agonistic-antagonistic couples. Parameter identification -- 2 Theoretical Study of Biological Models -- The spruce budworm-forest and other ecosystems -- On the conservation of physiological function in a population of interactive and self replicative units -- Dynamics and stability of induction of the lactose operon of Escherischia Coli -- Automata networks as models for biological systems: a survey -- A critical discussion of plausible models for relay and oscillation of cyclic-AMP in Dictyostelium cells -- Fully asynchronous logical description of networks comprising feedback loops -- The rotor in reaction-diffusion problems and in sudden cardiac death -- 3 Deterministic Modelling of Rhythms -- Spatio-temporal oscillations of a cellular automaton in excitable media -- On the use of renormalization technics in the study of discrete population models in one dimension -- Hydrodynamics and cell division -- On the solutions of some differential equation in IR3 with small parameter -- Self-pulsing in ring-lasers -- Numerical analysis of the behaviour of an almost periodic solution to a periodic differential equation, an example of successive bifurcations of invariant tori -- 4 Stochastic Modelling of Rhythms -- Evolutive spectral analysis by autoregressive process of isotopic climatic data from Antartica -- Optimal randomness in foraging movement: a central place model -- A model for weather cycles based on daily rainfall occurrence -- A statistical approach to difference-delay equation modelling in ecology-two case studies -- Identification and modelling techniques for biological rhythms -- Chaotic curves -- Time series analysis and biology -- Large deviations and more or less rare events in population dynamics