Skip to main content
SpringerLink
Log in

Some nutritional and excretional interactions and the growth of an organ or colony

  • Published:
The bulletin of mathematical biophysics Aims and scope Submit manuscript

Abstract

Following the general form for the differential equation of organism and colonial growth, there is derived a rational formulation for the growth of a bounded cell community (e.g., an organ) equipped with a food supply and a waste removal mechanism. It is shown how, from the integral form and an empirical curve, the vital coefficients of the equation can be derived. Changes to be expected in these coefficients are discussed, and the analytic methods for assessing them are set forth. It is hoped that these equations and similar ones will make it possible to relate empirical curves to the mathematico-biophysical theory of the cell.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature

  • Higgins, E. M., F. C. Mann, and J. T. Priestly. 1932. “Experimental Pathology of the Liver: X. Restoration of the Liver of the Domestic Fowl.”Arch. Pathol.,14, 491–497.

    Google Scholar 

  • Kostitzin, V. A. 1939.Mathematical Biology. London: Geo. S. Harnap.

    MATH  Google Scholar 

  • Morales, M. F. and N. W. Shock. 1942. “A Fundamental Form for the Differential Equation of Colonial and Organismal Growth.”Bull. Math. Biophysics,2, 63–71.

    MathSciNet  Google Scholar 

  • Morales, M. F. 1943. “Some Thermoanalytic Studies of Organ and Whole Animal Respiration.”Jour. Gen. Physiol.,26, 381–389.

    Article  Google Scholar 

  • Morales, M. F. 1944. “A Note on Equations of Growth.”Science. In press.

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

    MATH  Google Scholar 

  • Rashevsky, N. 1940.Advances and Applications of Mathematical Biology. Chicago: The University of Chicago Press.

    MATH  Google Scholar 

  • Winsor, C. P. 1934. “Mathematics of Mixed Populations.”Cold Spring Harbor Symposia on Quant. Biol.,2, 181–187.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Naval Medical Research Institute, National Naval Medical Center, Bethesda, Maryland

    M. F. Morales Ens. H-V(S) & A. S. F. L. Kreutzer V-12(S), USNR

Authors
  1. M. F. Morales Ens. H-V(S)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. S. F. L. Kreutzer V-12(S), USNR
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The opinions or assertions contained herein are the private ones of the writers, and are not to be construed as official or reflecting the views of the Navy Department or the Naval Service at large.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Morales, M.F., Kreutzer, A.S.F.L. Some nutritional and excretional interactions and the growth of an organ or colony. Bulletin of Mathematical Biophysics 7, 15–24 (1945). https://doi.org/10.1007/BF02478255

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02478255

Keywords

Search

Navigation