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Molecular biology and the kinetics of cell growth. II. A note on mass-volume relations

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Abstract

Using a previously derived theory of cell mass and volume growth, we show that a cell mass doubling criterion for cell division leads to a progressive deviation of cell volume from an arbitrary initial value to a value dependent only on the metabolic and osmotic parameters of the cell and its environment.

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Literature

  • Mazia, Daniel. 1961. “Mitosis and the Physiology of Cell Division.” InThe Cell, J. Brachet and A. E. Mirsky, eds., vol. III, New York: Academic Press.

    Google Scholar 

  • Mitchison, J. M. 1957. “Growth of Single Cells. II: Schizosaccharomyces Pombe.”Exper. Cell Research,13, 244–262.

    Article  Google Scholar 

  • Rashevsky, N. 1948.Mathematical Biophysics. Chicago: University of Chicago Press.

    Google Scholar 

  • Reiner, John M. 1967. “Molecular Biology and the Kinetics of Cell Growth. I: Cell Growth.”Bull. Math. Biophys.,29, 349–361.

    Article  Google Scholar 

  • Sakai, H. 1969. “Contractile Properties of Protein Threads from Sea Urchin Eggs in Relation to Cell Division.”International Review of Cytology and Cell Physiology.23, 89–113.

    Google Scholar 

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Authors and Affiliations

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

    John M. Reiner

Authors
  1. John M. Reiner
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Additional information

This research was supported in part by USPHS Grant HE14177-01.

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Reiner, J.M. Molecular biology and the kinetics of cell growth. II. A note on mass-volume relations. Bltn Mathcal Biology 35, 109–113 (1973). https://doi.org/10.1007/BF02558800

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  • DOI: https://doi.org/10.1007/BF02558800

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