Theoretical Chemistry: Periodicities in Chemistry and Biology, Volume 4 covers the aspects of theoretical chemistry. The book discusses the stably rotating patterns of reaction and diffusion; the chemistry of inorganic systems exhibiting nonmonotonic behavior; and population cycles. The text also describes the mathematical modeling of excitable media in neurobiology and chemistry; oscillating enzyme reactions; and oscillatory properties and excitability of the heart cell membrane. Selected topics from the theory of physico-chemical instabilities are also encompassed. Chemists, mechanical engineers, and mathematicians will find the book useful.
List of Contributors Preface Contents of Previous Volumes Stably Rotating Patterns of Reaction and Diffusion I. Introduction II. Zero-Dimensional Situations III. One-Dimensional Situations IV. Two-Dimensional Situations V. Other Structures VI. Other Boundary Conditions VII. Other Kinetics VIII. Appendix References Chemistry of Inorganic Systems Exhibiting Nonmonotonic Behavior I. Introduction II. Theory-Scope of Nonmonotonic Behavior in Purely Chemical Systems III. The Chemistry of Known Systems Exhibiting Temporal Oscillations in Stirred Media IV. Flow Systems: A Diversity of Nonmonotonic Behavior V. Unstirred Solutions: Traveling Waves of Chemical Activity VI. Conclusion References Population Cycles I. Introduction II. The Population Balance Equation III. Oscillations in a Simple Ecosystem IV. Discussion References Mathematical Modeling of Excitable Media in Neurobiology and Chemistry I. Introduction II. Nerve Impulse Transmission III. The Belousov-Zhabotinskii Reaction References Oscillating Enzyme Reactions I. Introduction II. Glycolysis III. Physiology References Oscillatory Properties and Excitability of the Heart Cell Membrane I. Introduction II. The Cardiac Myocyte III. Impedance and Oscillation IV. Cardiac Membrane Currents V. The Heart Cell Aggregate VI. Summary and Conclusions References Selected Topics from the Theory of Physico-Chemical Instabilities I. Introduction II. Nonequilibrium Phenomena in Soluble Model Systems III. Symmetry Breaking Transitions to Static Patterns IV. Chemical Waves V. Membrane and Surface Localized Structures VI. The Morphological Stability of Growing Bodies VII. Mechano-Chemical Phenomena VIII. Concluding Remarks
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- © Academic Press 1978
- 1st January 1978
- Academic Press
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