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The Mutual Co-Action of two Regulatory Mechanisms Realizing Optimal Autoregulation of Metabolism

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Quantitative Biology of Metabolism

Abstract

Autoregulation of metabolism is considered by applying certain elements of an extended thermodynamics of regulated irreversible processes. Since the application of the existing thermodynamics of irreversible processes is invalid for several reasons —chemical reactions are running far from their equilibrium; Onsager’s relations do not hold true because of the existence of feedbacks; minimum entropy production does not occur —a system of equations has been derived based upon Bellman’s dynamic programming and Pontrijagin’s maximum principle, which overcomes these difficulties.

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References

  1. Davis, B.: Cold Spring Harbor Symp. XXVI (1961).

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  2. Detchev, G., u. A. Moskona: Helgoland, wiss. Meeresunters. 14, 110 (1966).

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  6. Umbarger: Cellular Regulatory Mechanisms, Cold Spring Harbor Symposia XXVI, 1961.

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© 1968 Springer-Verlag Berlin · Heidelberg

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Detchev, G., Moskona, A. (1968). The Mutual Co-Action of two Regulatory Mechanisms Realizing Optimal Autoregulation of Metabolism. In: Locker, A. (eds) Quantitative Biology of Metabolism. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51065-6_29

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  • DOI: https://doi.org/10.1007/978-3-642-51065-6_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04301-0

  • Online ISBN: 978-3-642-51065-6

  • eBook Packages: Springer Book Archive

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