Effect of extravascular pressure gradients on capillary fluid exchange

Gregory J. Fleischman, Timothy W. Secomb, Joseph F. Gross

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


A mathematical model is developed to examine the effect of pressure gradients in the extravascular space on fluid exchange from capillaries. Starling's hypothesis describes fluid transport through the capillary wall, and D'Arcy's law governs flow in the tissue. Using physiologically reasonable values for the wall and tissue hydraulic conductivities and other parameters, it is shown that the tissue hydrostatic pressure is not uniform throughout the tissue space. The greatest deviations from the background pressure occur near the capillary, and the magnitude of deviations increases with increasing ratios of the two conductivities. The model also shows that the fluid exchange behavior is modified by the presence of other capillaries. This capillary-capillary interaction is influenced by the ratio of conductivities, capillary proximity, and the number of existing capillaries.

Original languageEnglish (US)
Pages (from-to)145-164
Number of pages20
JournalMathematical Biosciences
Issue number2
StatePublished - Oct 1986

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • General Biochemistry, Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics


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