Abstract
The dynamics of a self-organizing molecular system is described in terms of its normal modes. Each normal mode is associated with a certain eigenvalue, the average of which reflects most directly the overall process of self-organization. For the temporal change of this quantity a maximum principle holds.
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Literature
Crow, J. F. and M. Kimura. 1970.An Introduction to Population Genetics Theory. New York: Harper & Row.
Eigen, M. 1971. “Self-Organisation of Matter and the Evolution of Biological Macromolecules.”Naturwissenschaften,58, 465–523.
— and P. Schuster. 1977 and 1978. “The Hypercycle—A Principle of Natural Self-Organization.” Part A.: “Emergence of the Hypercycle.”Naturwissenschaften,64, 541–565. Part B.: “The Abstract Hypercycle.”Naturwissenschaften,65, 7–41. Part C:. “The Realistic Hypercycle.”Naturwissenschaften,65, 341–369.
Jones, B. I., R. H. Enns and S. S. Rangnekar. 1976. “On the Theory of Selection of Coupled Macromolecular Systems.”Bull. Math. Biol.,38, 15–28.
Küppes, B. 1979. “Towards an Experimental Analysis of Molecular Self-Organization and Precellular Darwinian Evolution.”Naturwissenschaften, (in press).
Thompson, C. J. and J. L. McBride. 1974. “On Eigen's Theory of Self-Organization of Matter and the Evolution of Biological Macromolecules.”Math. Biosci.,21, 127–142.
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Küppers, B. Some remarks on the dynamics of molecular self-organization. Bltn Mathcal Biology 41, 803–812 (1979). https://doi.org/10.1007/BF02462377
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DOI: https://doi.org/10.1007/BF02462377