The bulletin of mathematical biophysics

, Volume 24, Issue 4, pp 369–373 | Cite as

On biological growth

  • Sidney Roston


Mathematical representation of the general pattern of biological growth in unicellular or multicellular organisms is feasible. The weight of the organism is a practical variable for the description of this growth. The resultant differential equation contains a term representing the inhibitory effect of increase in size of the organism due to encroachment upon space and a term representing the, accumulation of toxic products. The solution for the weight rises from a low initial value to a maximum and then decays gradually, the ascending and descending curves being independent of each other. The solution appears to have value in integration and simplification of complex and variegated biological phenomena.


Biophysics Volume Toxic Product Complex Organism Biological Growth Maclaurin Series 


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  1. Page, L. 1935.Introduction to Theoretical Physics, 2nd Ed. New York: D. Van Nostrand Co.MATHGoogle Scholar
  2. Reid, A. T. 1952. “Note on the Growth of Bacterial Populations.”Bull. Math. Biophysics,14, 313–317.CrossRefGoogle Scholar

Copyright information

© University of Chicago 1962

Authors and Affiliations

  • Sidney Roston
    • 1
  1. 1.Department of Medicine School of MedicineUniversity of LouisvilleLouisvilleFrance

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