Theoretical Chemistry

Theoretical Chemistry

Periodicities in Chemistry and Biology

1st Edition - January 1, 1978

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  • Editors: Henry Eyring, Douglas Henderson
  • eBook ISBN: 9781483220406

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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.

Table of Contents

  • List of Contributors


    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


    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


    Population Cycles

    I. Introduction

    II. The Population Balance Equation

    III. Oscillations in a Simple Ecosystem

    IV. Discussion


    Mathematical Modeling of Excitable Media in Neurobiology and Chemistry

    I. Introduction

    II. Nerve Impulse Transmission

    III. The Belousov-Zhabotinskii Reaction


    Oscillating Enzyme Reactions

    I. Introduction

    II. Glycolysis

    III. Physiology


    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


    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


    Subject Index

Product details

  • No. of pages: 310
  • Language: English
  • Copyright: © Academic Press 1978
  • Published: January 1, 1978
  • Imprint: Academic Press
  • eBook ISBN: 9781483220406

About the Editors

Henry Eyring

Douglas Henderson

Affiliations and Expertise

Director of Electron Microscopy, Department of Histopathology, Flinders Medical Centre, Adelaide, South Australia

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