From Chemical to Biological Organization

1. Front Matter

   Pages I-IX

   PDF

2. General Concepts

   1. Front Matter

      Pages 1-1

      PDF

   2. From Chemical to Biological Organization: A Snapshot

      • E. Katchalski-Katzir

      Pages 3-5

   3. Pattern Formation: Thermodynamics or Kinetics?

      • H. Haken

      Pages 6-13

   4. Spatiotemporal Organization in Biological and Chemical Systems: Historical Review

      • J. J. Tyson, M. L. Kagan

      Pages 14-21

   5. Velocity Correlations and Irreversibility: A Molecular Dynamics Approach

      • J. Prigogine, E. Kestemont, M. Mareschal

      Pages 22-26

   6. Nonlinear Dynamics, Self-Organization and the Symbolic Representation of Complexity

      • G. Nicolis

      Pages 27-33

   7. Spectral Kinetics and the Efficiency of (Bio) Chemical Reactions

      • J. Ross, S. Pugh, M. Schell

      Pages 34-46

3. Chemical Organization

   1. Front Matter

      Pages 47-47

      PDF

   2. Distinction Between Amplified Noise and Deterministic Chaos by the Correlation Dimension

      • A. Freund, Th.-M. Kruel, F. W. Schneider

      Pages 49-60

   3. Exotic Chemical Reactions with Cu(II) Catalyst

      • M. Orbán

      Pages 61-67

   4. Bifurcation, Periodicity and Chaos by Thermal Effects in Heterogeneous Catalysis

      • E. Wicke, H. U. Onken

      Pages 68-82

   5. Spatial Patterns in (Bio)Chemical Reactions

      • S. C. Müller

      Pages 83-98

   6. Experimental Study of the Target Patterns of the BZ Reaction Using Digital Picture Analysis

      • P. Hanusse, C. Vidal, A. Pagola

      Pages 99-102

   7. Dispersion Curves and Pulse Wave Propagation in Excitable Systems

      • M. Marek, H. Ševčíková

      Pages 103-113

   8. Chemical Structures and Convection

      • P. Borckmans, G. Dewel

      Pages 114-121

   9. The Path to Hydrodynamic Instability During Reactions at Liquid Interfaces: Comparison of Experimental Image Analysis Results and Simulations

      • M. L. Kagan, R. Kosloff, D. Avnir

      Pages 122-131

   10. Cellular Automata Simulating the Evolution of Structure Through the Synchronization of Oscillators

       • A. W. M. Dress, M. Gerhardt, H. Schuster

       Pages 134-145

4. Biochemical Organization

   1. Front Matter

      Pages 147-147

      PDF

   2. Potential Functions and Molecular Evolution

      • P. Schuster

      Pages 149-165

Open nonlinear systems are capable of self-organization in space and time. This realization constitutes a major breakthrough of modern science, and is currently at the origin of explosive developments in chemistry, physics and biology. Observations and numerical computations of nonlinear systems surprise us by their inexhaustible and sometimes nonintuitive variety of structures with different shapes and functions. But as well as variety one finds on closer inspection that nonlinear phenomena share universal aspects of pattern formation in time and space. These similarities make it possible to bridge the gap between inanimate and living matter at various levels of complexity, in both theory and experiment. This book is an account of different approaches to the study of this pattern formation. The universality of kinetic, thermodynamic and dimensional approaches is documented through their application to purely mathematical, physical and chemical systems, as well as to systems in nature: biochemical, cellular, multicellular, physiological, neurophysiological, ecological and economic systems. Hints given throughout the book allow the reader to discover how to make use of the principles and methods in different fields of research, including those not treated explicitly in the book.

• catalysis
• catalyst
• chemical reaction
• chemical structure
• deterministic chaos
• kinetics
• nonlinear dynamics
• structure
• thermodynamics

• Max-Planck-Institut für Ernährungsphysiologie, Dortmund, Germany

  Mario Markus, Stefan C. Müller

• Faculté des Sciences, Université Libre de Bruxelles, Bruxelles, Belgium

  Grégoire Nicolis

Policies and ethics