Rhythms in Biology and Other Fields of Application: Deterministic and Stochastic Approaches: Lecture Notes in Biomathematics, cartea 49

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 “in vitro” 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 ofRhythms.- 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.