The effect of solution non-ideality on membrane transport in three-dimensional models of the renal concentrating mechanism

Xianqun Wang, Anthony S. Wexler, Donald J. Marsh

Research output: Contribution to journalArticle

18 Scopus citations

Abstract

Previous models of the renal concentrating mechanism employ ideal approximations of solution thermodynamics for membrane transport calculation. In three-dimensional models of the renal medulla, predicted urine concentrations reach levels where there idealized approximations begin to break down. In this paper we derive equations that govern membrane transport for non-dilute solutions and use these equations in a three-dimensional model of the concentrating mechanism. New numerical methods were employed that are more stable than those employed previously. Compared to ideal solution models, the urea non-ideality tends to increase predicted osmolarities, whereas NaCl non-ideality decreases predictions.

Original languageEnglish (US)
Pages (from-to)515-546
Number of pages32
JournalBulletin of Mathematical Biology
Volume56
Issue number3
DOIs
StatePublished - May 1994
Externally publishedYes

ASJC Scopus subject areas

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

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