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Synergetics pp 275-303 | Cite as

Chemical and Biochemical Systems

  • Hermann Haken
Part of the Springer Series in Synergetics book series (SSSYN, volume 1)

Abstract

Basically, we may distinguish between two different kinds of chemical processes:
  1. 1)

    Several chemical reactants are put together at a certain instant, and we are then studying the processes going on. In customary thermodynamics, one usually compares only the reactants and the final products and observes in which direction a process goes. This is not the topic we want to treat in this book. We rather consider the following situation, which may serve as a model for biochemical reactants.

     
  2. 2)

    Several reactants are continuously fed into a reactor where new chemicals are continuously produced. The products are then removed in such a way that we have steady state conditions. These processes can be maintained only under conditions far from thermal equilibrium. A number of interesting questions arise which will have a bearing on theories of formation of structures in biological systems and on theories of evolution. The questions we want to focus our attention on are especially the following:

     
  3. 1)

    Under which conditions can we get certain products in large well-controlled concentrations?

     
  4. 2)

    Can chemical reactions produce spatial or temporal or spatio-temporal patterns?

     
To answer these questions we investigate the following problems:
  1. a)

    deterministic reaction equations without diffusion

     
  2. b)

    deterministic reaction equations with diffusion

     

Keywords

Transition Rate Master Equation Malonic Acid Detailed Balance Soft Mode 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

Chemical and Biochemical Systems

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React ion-Diffusion Model with Two or Three Variables; the Brusselator and the Oregonator

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Stochastic Model for a Chemical Reaction with Diffusion. One Variable

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Stochastic Treatment of the Brusselator Close to Its Soft Mode Instability

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Chemical Networks

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Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • Hermann Haken
    • 1
  1. 1.Institut für Theoretische PhysikUniversität StuttgartStuttgart 80Fed. Rep. of Germany

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