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Oscillating heterogeneous catalytic systems
Authors: ---
ISBN: 9780444522122 0444522123 9780080545127 0080545122 9780444888914 0444888918 Year: 1994 Publisher: Amsterdam New York Elsevier

Chaos in chemistry and biochemistry
Authors: ---
ISBN: 1283899744 9814354740 9789814354745 9810210248 9789810210243 9781283899741 Year: 1993 Publisher: Singapore River Edge, NJ World Scientific

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Abstract

True deterministic chaos is characterized by unpredictable, apparently random motion in a dynamical system completely described by a deterministic dynamic law, usually a nonlinear differential equation, with no stochastic component. The inability to predict future behavior of a chaotic system occurs because trajectories evolving from arbitrarily close initial conditions diverge. Chaos is universal as it may arise in any system governed by one of a class of quite common, suitable nonlinear dynamic laws. This book discusses both the experimental observation and theoretical interpretation of chaos in chemical and biochemical systems. Examples are drawn from the Belousov-Zhabotinsky reaction, surface reactions, electrochemical reactions, enzyme reactions, and periodically perturbed oscillating systems.

Biochemical oscillations and cellular rhythms : the molecular bases of periodic and chaotic behaviour.
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ISBN: 0521403073 0521599466 9780521403078 9780521599467 9780511608193 Year: 1997 Publisher: Cambridge Cambridge University press

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Abstract

This book addresses the molecular bases of some of the most important biochemical rhythms known at the cellular level. Clarifying the mechanism of these oscillatory phenomena is of key importance for understanding the origin as well as the physiological function of these rhythms, and the conditions in which simple periodic behaviour transforms into complex oscillations including bursting and chaos. It will appeal to graduate students and researchers in a wide variety of fields. On the one hand, it will be of interest to life scientists such as biochemists, cell biologists, medical scientists, pharmacologists and chronobiologists. On the other hand, scientists studying nonlinear phenomena, including oscillations and chaos, in chemistry, physics, mathematics and mathematical biology will also find these ideas of value.

Keywords

Biological rhythms --- Cell physiology --- Chaotic behavior in systems --- Oscillating chemical reactions --- 57.034 --- 576.32/.36 --- 576.32/.36 Cell physiology. Cell biochemistry. Cell biophysics. Molecular biology of the cell --- Cell physiology. Cell biochemistry. Cell biophysics. Molecular biology of the cell --- 57.034 Cyclic variations, oscillation. Rhythmicity. --- Cyclic variations, oscillation. Rhythmicity. --- Chemical oscillations --- Chemical systems, Oscillations in --- Oscillating reactions --- Oscillations, Chemical --- Oscillations (Chemical kinetics) --- Oscillations in chemical reactions --- Oscillations in chemical systems --- Oscillatory reactions --- Reactions, Oscillating --- Reactions, Oscillations in chemical --- Reactions, Oscillatory --- Chemical reactions --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Cell function --- Cytology --- Physiology --- Biological clocks --- Biology --- Biorhythms --- Endogenous rhythms --- Living clocks --- Rhythms, Biological --- Chronobiology --- Cycles --- Pacemaker cells --- Periodicity --- Molecular biology --- Rythmes biologiques --- Cellules --- Chaos --- Réactions chimiques périodiques --- Physiologie --- Cell Physiology --- Biological rhythms. --- Cell physiology. --- Chaotic behavior in systems. --- Oscillating chemical reactions. --- Réactions chimiques périodiques --- Cyclic variations, oscillation. Rhythmicity --- Biomathematics. Biometry. Biostatistics --- General biochemistry --- Chronobiology phenomena --- Models, theoretical --- Nonlinear dynamics

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