A mathematical model of countercurrent exchange of oxygen between paired arterioles and venules

Maithili Sharan, Aleksander S. Popel

Research output: Contribution to journalArticlepeer-review

Abstract

A mathematical model is formulated for diffusive countercurrent exchange of oxygen between paired arterioles and venules. A closed form solution of the problem is obtained by linearizing the nonlinear oxyhemoglobin dissociation curve at the inlet PO2 in the vessel. The closed form solution is compared with the corresponding numerical solution of the nonlinear problem. Under normal conditions, longitudinal gradients of venular PO2 are found to be small. Examples are presented where the model predicts significant gradients of Venular PO2 when the blood flow rate in the venule is several times smaller than that in the arteriole.

Original languageEnglish (US)
Pages (from-to)17-34
Number of pages18
JournalMathematical Biosciences
Volume91
Issue number1
DOIs
StatePublished - Sep 1988

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'A mathematical model of countercurrent exchange of oxygen between paired arterioles and venules'. Together they form a unique fingerprint.

Cite this