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Self-similar solution of a distributed model for transcapillary exchange and solute removal by the liver

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Abstract

The partial differential equations describing transcapillary exchange and subsequent removal of solutis from an idealized liver sinusoid are amenable to solution by similarity analysis. The power and utility of this technique, which is not widely appreciated as a method for solving biological models, is illustrated here for a system whose Laplace transforms is difficult to invert.

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Author notes

  1. H. Shen

    Present address: Program in Applied Mathematics, Dept. of Mathematics, Clarkson College of Technology, 13676, Potsdam, NY

Authors and Affiliations

  1. University of Iowa, 52242, Iowa City, Iowa, U.S.A.

    H. Shen, K. E. Lonngren & E. L. Forker

Authors
  1. H. Shen
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  2. K. E. Lonngren
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  3. E. L. Forker
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Additional information

Sponsored in part by a National Science Foundation Grant #ENG 76-15645, the National Institutes of Health grant #AM 09892 and the United States Army under Contract No. DAAG29-75-C-0024.

Program of Electrical and Computer Engineering, College of Engineering.

Dept. of Medicine, University Hospitals.

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Shen, H., Lonngren, K.E. & Forker, E.L. Self-similar solution of a distributed model for transcapillary exchange and solute removal by the liver. Bltn Mathcal Biology 40, 661–669 (1978). https://doi.org/10.1007/BF02460737

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  • DOI: https://doi.org/10.1007/BF02460737

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