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Diffusion with irreversible chemical reaction in heterogeneous media application to oxygen transport in respiring tissue






Journal of Theoretical Biology 64(2): 237-251

Diffusion with irreversible chemical reaction in heterogeneous media application to oxygen transport in respiring tissue

A heterogeneous model is proposed for determining transport in a 2-phase medium where irreversible reaction takes place in the suspended phase but not in the continuous phase. The model is based on the classical approach of Maxwell for determining effective transport properties of heterogeneous media. The mathematical expressions are utilized for the theoretical study of O2 transport in tissue. The model is physically more realistic than the layered models of Tai and Chang which can only predict maximum and minimum values for the transport rate. Formation of anoxic conditions for O2-consuming cells inside a tissue are predicted.

Accession: 005161091

PMID: 839802

DOI: 10.1016/0022-5193(77)90354-x

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