A model of combined convective and diffusive O2 transport to tissue is suggested which
allows for the calculation of PO2 distributions in a cuboid tissue region with arbitrary …

The diffusion and consumption of substrate from capillaries are basic in human physiology.
The general solution for the concentration in a region containing many parallel non …

A mathematical model of the transport of oxygen from capillaries to skeletal muscle tissue is
a diffusion problem in a two-dimensional, bounded domain with Neumann and mixed …

The ability to characterise capillary supply plays a key role in developing effective
therapeutic interventions for numerous pathological conditions, such as capillary loss in …

In tissue with a distinct orientation of the oxygen supplying structures, the capillaries, a
mathematical description of oxygen transport is feasible in terms of two-dimensional …

It is the objective of this paper to describe, what models of oxygen supply, diffusion, and
consumption have been and can be used for and to discuss some common problems in …

Maintaining an adequate supply of oxygen to metabolically active tissues is crucial. Failure
to do so will slow aerobic metabolism, induce ATP production from alternative anaerobic …

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Interrupted blood flow diminishes the concentration of oxygen in tissues. Hypoxia first
appears in the region distal to the capillaries and grows throughout the entire t issue …

The oxygen distribution at steady state is analyzed mathematically in a hexagonal cylinder.
The domain is penetrated by parallel cylindrical capillaries of different oxygen squirt …