Skip to main content
SpringerLink
Log in

On the theory of blood-tissue exchanges: I. Fundamental equations

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

Abstract

A mathematical analysis of the absorption of an inert gas by a heterogeneous system ofn phases, e.g., a limb consisting ofn tissues, is presented. The total uptake of gas, ϕ(t), up to timet is given in terms of arterial concentration, cardiac delivery, blood volume, and the volume, permeability, and partition coefficient of each tissue. The theory predicts how the uptake curve should change in shape under a variety of physiological conditions, and how from the numerical values of the constants the values of certain tissue constants, e.g. permeabilities, may be obtained.

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.

Similar content being viewed by others

Literature

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

    MATH  Google Scholar 

  • Smith, R. E., and Morales, M. F. 1944. (In press.) “On the Theory of Blood-Tissue Exchanges: II. Applications.”Bull. Math. Biophysics,6, 133.

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    R. E. Smith & Ens M. F. Morales H-V (S) USNR

Authors
  1. R. E. Smith
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ens M. F. Morales H-V (S) USNR
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The material in this article should be construed only as the personal opinion of the writers and not as representing the opinion of the Navy Department officially.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Smith, R.E., Morales H-V (S), E.M.F. On the theory of blood-tissue exchanges: I. Fundamental equations. Bulletin of Mathematical Biophysics 6, 125–131 (1944). https://doi.org/10.1007/BF02478243

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02478243

Keywords

Search

Navigation