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Radial bulk diffusion into heterogeneous tissue

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Abstract

An expression is derived which describes the transient distribution of solute diffusing into heterogeneous tissue from a fully-stirred cylindrical region in which there has been a step change in solute concentration. This is envisaged as a model for the uptake of drugs by vessel walls, although the same approach has been extended for estimating the mode of total uptake of substances by annular specimens of tissue. Tissue is regarded as effectively composed of two phases—an extracellular (continuous) phase, similar to water, and a dispersed phase comprising cells of irregular profile. In each phase the relevant mode of uptake is taken as bulk diffusion rather than the permeation of a surface membrane.

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Author notes

  1. B. A. Hills M.A., B.Sc., Ph.D. (Associate Professor of Medical Science)

    Present address: Department of Surgery, Duke University Medical Center, Durham, North Carolina

Authors and Affiliations

  1. Division of Biological and Medical Sciences, Brown University, Providence, Rhode Island

    B. A. Hills M.A., B.Sc., Ph.D. (Associate Professor of Medical Science)

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  1. B. A. Hills M.A., B.Sc., Ph.D.
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Hills, B.A. Radial bulk diffusion into heterogeneous tissue. Bulletin of Mathematical Biophysics 31, 25–34 (1969). https://doi.org/10.1007/BF02478205

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  • DOI: https://doi.org/10.1007/BF02478205

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