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Mathematical biophysics of cell respiration II

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Abstract

The recent approximate method developed by N. Rashevsky in his bookMathematical Biophysics is shown to lead to results equivalent to those obtained in the preceding paper on cell respiration. An estimate is made of the value of the total diffusion resistance to lactic acid for unfertilizedArbacia eggs. Several more general reactions are treated to illustrate the effect of intermediate products. Expressions for the glycolytic coefficient are derived in terms of the parameters of the cell.

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Literature

  • Boyland, E. andBoyland, M. E. 1938. “Studies in Tissue Metabolism XI. The Action of Tumor Slices and Extract on Different Carbohydrates.”Bichem. J.,32: 321–331.

    Google Scholar 

  • Burk, Dean. 1937. “On the Biochemical Significance of the Pasteur Reaction and Meyerhof Cycle in Intermediate Carbohydrate Metabolism.”Occasional Publications of the American Medical Association for the Advancement of Science. No. 4, 121–161. Supplement of Science, Vol.85.

    Google Scholar 

  • Cameron, A. T. 1930.A Textbook of Biochemistry. London. J. and A. Churchill.

    Google Scholar 

  • Haarmann, W. andStratmann, F. W. 1932. “Über den Einfluss verschiedener Glucosekonzentrationen auf die Milchsäurebildung und die Glykogenabbau.”Biochem Zeitschr.,256: 361–370.

    Google Scholar 

  • Hopkins, R. H., andRoberts, R. H. 1935. “Kinetics of Alcoholic Fermentation of Sugars by Brewer's Yeast. II. Relative Rates of Fermentation of Glucose and Fructose.”Biochem J.,29 (1): 931–936.

    Google Scholar 

  • Jacobs, M. H. andStewart, D. R. 1932. “A Simple Method for the Quantitative Measurement of Cell Permeability.”J. Cell. and Comp. Physiol.,1: 71–82.

    Article  Google Scholar 

  • Landahl, H. D. 1937. “Mathematical Biophysics of Cell Respiration.”Growth,1: 263–277.

    MATH  Google Scholar 

  • Perlzweig, W. A., andBarron, E. S. G. 1928 “Lactic Acid and Carbohydrate in Sea Urchin Eggs under Aerobic and Anaerobic Conditions.”J. Biol. Chem.,79: 19–26.

    Google Scholar 

  • Rashevsky, N. 1938.Mathematical Biophysics. Chicago; University of Chicago Press.

    MATH  Google Scholar 

  • Rubenstein, B. B. 1933. “The Kinetics of Intracellular Carbohydrate Oxidation ofSarcina Lutea II.”J. Cell. and Comp. Physiol.,2: 445–455.

    Article  Google Scholar 

  • Tang, P.-S. 1931. “The Oxygen Tension-Oxygen Consumption Curve of Unfertilized Arbacia Eggs.”Biol. Bull.,60: 242–244.

    Google Scholar 

  • Tang, P.-S. 1933. “On the Rate of Oxygen Consumption by Tissues and Lower Organisms as a Function of Oxygen Tension.”Quart. Rev. of Biol.,8: 260–274.

    Article  Google Scholar 

  • Warburg, O. 1926. “Über den Stoffwechsel der Tumoren.” Springer, Berlin. Trans. by F. Dickens: The Metabolism of Tumours. London; Constable, 1930.

    Google Scholar 

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Landahl, H.D. Mathematical biophysics of cell respiration II. Bulletin of Mathematical Biophysics 1, 1–17 (1939). https://doi.org/10.1007/BF02478008

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  • DOI: https://doi.org/10.1007/BF02478008

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