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Complementary variational principles for diffusion problems with Michaelis-Menten kinetics

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Abstract

The theory of complementary variational principles is used to obtain maximum and minimum principles for diffusion problems with Michaelis-Menten kinetics. In an illustrative calculation we obtain an extremely accurate variational solution in good agreement with the numerical solution of McElwain (1978).

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Literature

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Authors and Affiliations

  1. Department of Mathematics, University of York, England

    N. Anderson & A. M. Arthurs

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  1. N. Anderson
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  2. A. M. Arthurs
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Anderson, N., Arthurs, A.M. Complementary variational principles for diffusion problems with Michaelis-Menten kinetics. Bltn Mathcal Biology 42, 131–135 (1980). https://doi.org/10.1007/BF02462371

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