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Molecular control systems: I—Temporal organization in cells revisited

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Abstract

An analysis of Goodwin's fundamental nonlinear oscillator in the light of the requirement that concentrations must be intrinsically non-negative reveals that most of the phase plane is “forbidden”, and that there is one distinguished closed curve that has some of the properties of a limit cycle.

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Literature

  • Goodwin, B. C. 1963.Temporal Organization in Cells. New York: Academic Press.

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  • Njus, D., F. M. Sulzman and J. W. Hastings. 1974. “Membrane Model for the Circadian Clock.”Nature,248, 116–120.

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Authors and Affiliations

  1. Departments of Biochemistry and Pathology, Albany Medical College of Union University, 12208, Albany, N.Y.

    John M. Reiner

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  1. John M. Reiner
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Supported by USPHS Grant HL-14177.

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Reiner, J.M. Molecular control systems: I—Temporal organization in cells revisited. Bltn Mathcal Biology 36, 595–599 (1974). https://doi.org/10.1007/BF02463271

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  • DOI: https://doi.org/10.1007/BF02463271

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