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Flow limits of Kedem-Katchalsky equations for fluid flux

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Abstract

The Kedem-Katchalsky equations for fluid flux across membranes may not be adequate for large solvent flows. In particular, for an example of two membranes in series, it is argued that they would predict physically unreasonable behavior. An alternate equation for solute flow is proposed for a simple sieving membrane. For the same example, this equation predicts more physically reasonable results.

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Literature

  • Bresler, E. H. and R. P. Wendt. 1969a. “Onsanger's Reciprocal Relation. An Examination of Its Application to a Simple Membrane Transport Process.”J. Phys. Chem.,73 264–266.

    Article  Google Scholar 

  • — and —. 1969b. “Diffusive and Convective Flow Across Membranes: Irreversible Thermodynamic Approach.”Science,163, 944–945.

    Google Scholar 

  • — and —, 1969c. “Reply to Manning,” 1969.Science,166, 1438.

    Google Scholar 

  • —— and E. A. Mason. 1971.Science,172, 858–859.

    Google Scholar 

  • —, E. A. Mason and R. P. Wendt. 1972. “Reply to Sieving Behavior of a Series Membrane System.”Science,175, 557–558.

    Google Scholar 

  • Ferry, J. D. 1936. “Statistical Evaluation of Sieve Constraints in Ultrafiltration.”J. Gen. Physiol. 20, 95–104.

    Article  Google Scholar 

  • Kedem, O. and A. Katchalsky. 1958. “Thermodynamic Analysis of the Permeability of Biological Membranes to Non-Electrolytes.”Biochem. Biophys. Acta,27, 229–246.

    Article  Google Scholar 

  • — and —. 1963. “Permeability of Composite Membranes. Part3. Series Array of Elements.”Trans. Faraday Soc.,59, 1941–1953.

    Article  Google Scholar 

  • Manning, G. S. 1969. “Irreversible Thermodynamics and Flow Across Membranes.”Science,166, 1438.

    Google Scholar 

  • Mauro, A. 1957. “Nature of Solvent Transfer in Osmosis.”Science,126, 252–253.

    Google Scholar 

  • Patlak, C. S., D. A. Goldstein and J. F. Hoffman. 1963. “The Flow of Solute and Solvent Across a Two-Membrane System.”J. Theor. Biol.,5, 426–442.

    Article  Google Scholar 

  • Snell, F. M. and B. Stein. 1966. “Onsager Reciprocal Relations in Complex Membranes.”J. Theor. Biol.,10, 177–183.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Biochemistry and Biophysics, University of California, San Francisco, 94143, San Francisco, California, U.S.A.

    Leon Axel

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  1. Leon Axel
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Axel, L. Flow limits of Kedem-Katchalsky equations for fluid flux. Bltn Mathcal Biology 38, 671–677 (1976). https://doi.org/10.1007/BF02458641

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  • DOI: https://doi.org/10.1007/BF02458641

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