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TitleRhythms 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
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1983
Connect tohttp://dx.doi.org/10.1007/978-3-642-46475-1
Descript VIII, 405 p. online resource

CONTENT

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 โ{128}{156}in vitroโ{128}{157} 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


Mathematics Probabilities Biomathematics Statistics Mathematics Probability Theory and Stochastic Processes Mathematical and Computational Biology Statistics for Life Sciences Medicine Health Sciences



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