The bulletin of mathematical biophysics

, Volume 15, Issue 4, pp 477–488 | Cite as

The time course of capillary exchange

  • George W. Schmidt


The equations governing the time course of the exchange of substances between the blood in the capillaries and the extracellular space are solved for the case of substances which do not penetrate the cells. The equations given relate the time course of the exchange process to the various tissue and circulation parameters such as the specific capillary wall area, the pore area, the inter-capillary distance, the size of the extra-vascular, extra-cellular space, the diffusion coefficient in this space, and the velocity of blood in the capillaries.

Some experimental work on capillary exchange is discussed in relation to the theory and estimates are made of the relative importance of the various tissue and circulation parameters in the exchange of substances in different tissues.


Inulin Perfusion Rate Raffinose Interstitial Space Capillary Wall 
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  5. Schmidt, G. W. 1952. “A Mathematical Theory of Capillary Exchange as a Function of Tissue Structure.”Bull. Math. Biophysics,14, 229–63.Google Scholar

Copyright information

© University of Chicago 1953

Authors and Affiliations

  • George W. Schmidt
    • 1
  1. 1.Committee on Mathematical BiologyThe University of ChicagoChicagoUSA

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