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Diffusion and simultaneous chemical reactions: I. A method for solving the equations of some systems in which a fixed concentration exists at a boundary

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Abstract

Many solutions are available to the differential equations for systems consisting of a space region with a boundary at which the concentration is fixed, diffusion occurring across this boundary. A method is described for readily transforming these solutions into results for similar systems in which the diffusing substance is removed by a first-order reaction and also removed or produced at a rate which is expressible as a polynomial in the time variable. Subsidiary transformations and steady-state conditions are also discussed. An indication is given of biological applications of the results made available by this method.

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Literature

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Authors and Affiliations

  1. Courtauld Institute of Biochemistry, The Middlesex Hospital, W. 1, London, England

    D. G. O’Sullivan

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  1. D. G. O’Sullivan
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O’Sullivan, D.G. Diffusion and simultaneous chemical reactions: I. A method for solving the equations of some systems in which a fixed concentration exists at a boundary. Bulletin of Mathematical Biophysics 17, 141–153 (1955). https://doi.org/10.1007/BF02477992

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  • DOI: https://doi.org/10.1007/BF02477992

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