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Mathematical biophysics of growth

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Abstract

The rate of growth of a tissue is studied mathematically in its dependence on the metabolism of the cells. A high glycolytic coefficient, which facilitates cell division, as has been shown before, does in this way also increase indirectly the rate of growth of the tissue. There is however also a possible direct effect of glycolysis on the rate of growth, which is also studied analytically. Equations are derived, giving the total rate of growth of a tissue in its dependence on the glycolytic coefficient.

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References

  • Rashevsky, N. 1938.Mathematical Biophysics. Physicomathematical Foundations of Biology. Chicago; The University of Chicago Press.

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  • Rashevsky, N. 1939. “The Mechanism of Cell Division”.Bull. Math Biophysics. 1, 1939.

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  1. The University of Chicago, Chicago, USA

    N. Rashevsky

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  1. N. Rashevsky
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Rashevsky, N. Mathematical biophysics of growth. Bulletin of Mathematical Biophysics 1, 119–127 (1939). https://doi.org/10.1007/BF02478180

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  • DOI: https://doi.org/10.1007/BF02478180

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