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Complex Dynamic Structures

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Part of the book series: Springer Series in Synergetics ((SSSYN,volume 12))

Abstract

Pattern formation in reputedly homogeneous chemical systems has manifested itself in two characteristically quite different conditions: the BELOUSOV-ZHABOTINSKY reaction [1,2] as well as the glycolyzing cell-free extract of yeast [3,4,5] demonstrate time and space dependent concentration gradients. The common feature that these two systems share is their time-dependent coupling of the rate of chemical reaction and diffusion of reactants and products with the consequence that all components of the system are no longer homogeneously distributed in space. These features are maintained for given dynamic conditions.

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References

  1. Belousov, B.P., Sborn. Referat. Radiats. Med. za 1958, 145, Medgiz, Moscow, (1959).

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  2. Zhabotinsky, A.M., Dokl. Akad. Nauk SSSR, 157, 392 (1964).

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  3. Boiteux, A. and Hess, B., Visualization of Dynamic Spatial Structures in Glycolytic Cell Free Extracts of Yeast. In: Dutton, P.L. and Scarpa, A., (eds) Frontiers of Biological Energetics, 789–798, Academic Press, New York (1974).

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  4. Hess, B., Boiteux, A. and Chance, E.M., Dynamic Compartmentation. In: Chapville, F. and Haenni, A.-L. (eds) Molecular Biology Biochemistry and Biophysics, 32, Chemical Recognition in Biology, 157–164, Springer Verlag Berlin, Heidelberg (1980).

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  5. Boiteux, A. and Hess, B. Spatial Dissipative Structures in Yeast Extracts Ber. Bunsenges. Phys. Chem. 84, 392–398 (1980).

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  6. Goldbeter, A., Patterns of Spatiotemporal Organization in an Allosteric Enzyme Model, Proc. Nat. A.ad. Sci. USA, 70, 3255–3259 (1973).

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  7. Boiteux, A., Goldbeter, A. and Hess. B. Control of Oscillating Glycolysis of Yeast by Stochastic, Periodic and Steady Source of Substrate: A Model and Experimental Study, Proc. Nat. Acad. Sci. USA 72, 3829–3833 (1975).

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  8. Chance, E.M., Curtis, A.R., Jones, I.P. and Kirby, C.R., FACSIMILE: A Computer Program for Flow and Chemistry Simulation, and General Initial Value Problems, A.E.R.E. Harwell Report No. C.S.S. 54, H.M.S.O., London (1978).

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© 1981 Springer-Verlag Berlin Heidelberg

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Hess, B., Chance, E.M., Curtis, A.R., Boiteux, A. (1981). Complex Dynamic Structures. In: Vidal, C., Pacault, A. (eds) Nonlinear Phenomena in Chemical Dynamics. Springer Series in Synergetics, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81778-6_25

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  • DOI: https://doi.org/10.1007/978-3-642-81778-6_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81780-9

  • Online ISBN: 978-3-642-81778-6

  • eBook Packages: Springer Book Archive

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