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On oxygen diffusion in a spherical cell with Michaelis-Menten oxygen uptake kinetics

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Abstract

This paper demonstrates that there is one and only one solution to a non-linear singular two-point boundary-value problem which describes oxygen diffusion in a spherical cell. Previous authors have calculated numerical results that differ substantially. Numerical computations using the multiple shooting method support the results of McElwain.

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Authors and Affiliations

  1. Institut für Mathematik, Technische Universität München, D-8000, München 2, West Germany

    P. Hiltmann & P. Lory

Authors
  1. P. Hiltmann
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  2. P. Lory
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Hiltmann, P., Lory, P. On oxygen diffusion in a spherical cell with Michaelis-Menten oxygen uptake kinetics. Bltn Mathcal Biology 45, 661–664 (1983). https://doi.org/10.1007/BF02460043

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  • DOI: https://doi.org/10.1007/BF02460043

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