Modeling water flow through arterial tissue

M. Klanchar, J. M. Tarbell

Research output: Contribution to journalArticlepeer-review

55 Scopus citations


A simple model of, water flow through deformable porous media has been developed with emphasis on application to arterial walls. The model incorporates a strain-dependent permeability function into Darcy's Law which is coupled, to the force balance for the bulk material. A simple analytical expression relating water flux (volume flux) to pressure differential is developed which shows how strain-dependent permeability can lead to a reduction in hydraulic conductivity with increasing differential pressure as observed in experiments with arteries. The variation of permeability with position in the wall, which may influence the convective diffusion of macromolecules, is determined for both cylindrical and planar segments and a marked influence of geometry is noted.

Original languageEnglish (US)
Pages (from-to)651-669
Number of pages19
JournalBulletin of Mathematical Biology
Issue number6
StatePublished - Nov 1987

All Science Journal Classification (ASJC) codes

  • Neuroscience(all)
  • Immunology
  • Mathematics(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Environmental Science(all)
  • Pharmacology
  • Agricultural and Biological Sciences(all)
  • Computational Theory and Mathematics


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