Skip to main content
SpringerLink
Log in

A probabilistic approach to some problems in blood-tissue exchange

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

Abstract

The problem of exchange of substances between circulating blood and tissue is discussed in terms of a model with continuously distributed tissue characteristics. Consideration is given to the distribution of perfusion rates, the distribution of metabolism coefficients for a substance consumed at a rate proportional to its concentration, and the distribution of permeability coefficients for a slowly penetrating inert substance. Equations are derived for obtaining crude estimates of the moments of these distributions from exchange data.

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

  • Behnke, A. R. 1945. “The Absorption and Elimination of Gases of the Body in Relation to its Fat and Water Content.”Medicine,24, 359–79.

    Google Scholar 

  • Jones, H. B. 1950. “Respiratory System: Nitrogen Elimination.”Medical Physics,2. O. Glasser, Ed. Chicago: The Year Book Publishing Co.

    Google Scholar 

  • Mood, A. M. 1950. “Introduction to the Theory of Statistics.” New York: McGraw-Hill, Inc.

    MATH  Google Scholar 

  • Morales, M. F. and R. E. Smith. 1944. “On the Theory of Blood Tissue Exchanges: III Circulation and Inert-Gas Exchanges at the Lung with Special Reference to Saturation.”Bull. Math. Biophysics,6, 141–52.

    Article  Google Scholar 

  • — 1945a. “A Note on the Physiological Arrangement of Tissues.”Bull. Math. Biophysics,7, 45–51.

    Google Scholar 

  • — 1945b. “The Physiological Factors Which Govern Inert Gas Exchange.”Ibid.,7, 99–106.

    Google Scholar 

  • Roughton, F. J. W. 1952. “Diffusion and Chemical Reaction Velocity in Cylindrical and Spherical Systems of Physiological Interest.”Proc. Roy. Soc. B,140, 203–229.

    Article  Google Scholar 

  • Smith, R. E. and M. F. Morales. 1944a. “On the Theory of Blood Tissue Exchanges: I Fundamental Equations.”Bull. Math. Biophysics,6, 125–31.

    Article  Google Scholar 

  • — 1944b. “On the Theory of Blood Tissue Exchanges: II Applications.”Ibid.,6, 133–39.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Aeromedical and Physical Environment Laboratory, University of Illinois, Chicago, Illinois

    Robert Macey

Authors
  1. Robert Macey
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Macey, R. A probabilistic approach to some problems in blood-tissue exchange. Bulletin of Mathematical Biophysics 18, 205–217 (1956). https://doi.org/10.1007/BF02481856

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02481856

Keywords

Search

Navigation