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The interaction of diffusion and perfusion in homogeneous tissue

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Abstract

A mathematical model is proposed to examine the interaction between blood perfusion and gas diffusion in the uptake of inert gases in tissue. The standard Haldane perfusion model is contrasted with the Hills radial bulk diffusion model in a variety of homogeneous tissue types used in decompression theory. It is the intention of the present analysis to fix ideas on the role of diffusion, perfusion and axial concentration and quantitative studies are given and seem to show that Haldane's perfusion theory is at best a poor approximation even at asymptotic times. It is shown that a strong interaction exists between diffusion and perfusion in muscle tissue and neither approach adequately describes the actual uptake half-time of an inert gas.

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  1. T. R. Hennessy

    Present address: Department of Mathematics, Queen Elizabeth College, Campden Hill Road, W8, London, England

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  1. Department of Applied Mathematics, University of Cape Town, Cape Town, South Africa

    T. R. Hennessy

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Hennessy, T.R. The interaction of diffusion and perfusion in homogeneous tissue. Bltn Mathcal Biology 36, 505–526 (1974). https://doi.org/10.1007/BF02463263

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