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

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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.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Delaware, 19716, Newark, DE, U.S.A.

    Xianqun Wang & Anthony S. Wexler

  2. Department of Medicine and Biological Sciences, Brown University, 02912, Providence, RI, U.S.A.

    Donald J. Marsh

Authors
  1. Xianqun Wang
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  2. Anthony S. Wexler
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  3. Donald J. Marsh
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Wang, X., Wexler, A.S. & Marsh, D.J. The effect of solution non-ideality on membrane transport in three-dimensional models of the renal concentrating mechanism. Bltn Mathcal Biology 56, 515–546 (1994). https://doi.org/10.1007/BF02460469

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  • DOI: https://doi.org/10.1007/BF02460469

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