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Numerical simulation of propagating concentration profiles in renal tubules

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Abstract

Method-dependent mechanisms that may affect dynamic numerical solutions of a hyperbolic partial differential equation that models concentration profiles in renal tubules are described. Some numerical methods that have been applied to the equation are summarized, and ways by which the methods may misrepresent true solutions are analysed. Comparison of these methods demonstrates the need for thoughtful application of computational mathematics when simulating complicated time-dependent phenomena.

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Authors and Affiliations

  1. Department of Mathematics, State University of New York, 14214-3093, Buffalo, NY, U.S.A.

    E. Bruce Pitman

  2. Department of Mathematics, Duke University, Box 90320, 27708-0320, Durham, NC, U.S.A.

    H. E. Layton

  3. Department of Physiology and Biophysics, State University of New York, 11794, Stony Brook, NY, U.S.A.

    Leon C. Moore

Authors
  1. E. Bruce Pitman
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  2. H. E. Layton
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  3. Leon C. Moore
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Pitman, E.B., Layton, H.E. & Moore, L.C. Numerical simulation of propagating concentration profiles in renal tubules. Bltn Mathcal Biology 56, 567–586 (1994). https://doi.org/10.1007/BF02460471

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  • DOI: https://doi.org/10.1007/BF02460471

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