Substrate Diffusion and Consumption in Rectangular Capillary-Tissue Bed
DOI:
https://doi.org/10.30707/LiB1.1SunKeywords:
diffusion, capillary supply region, microcirculationAbstract
A diffusion equation can be used to estimate the oxygen concentration profiles for a highly-regular capillary bed of skeletal muscle. In reality, the capillaries may be arranged more or less randomly in normal tissues. The oxygen concentration, along with its time-wise distribution, may be uneven. Heterogeneity in the tissue bed is much more commonly considered. This article presents a mathematical analysis of the capillary-tissue exchange of substrate in microcirculation in rectangular regions where multiple capillaries are embedded with arbitrary characteristics. A matching technique is used to help solve the associated governing equations.
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Published
2023-11-11
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Research
How to Cite
Substrate Diffusion and Consumption in Rectangular Capillary-Tissue Bed. (2023). Letters in Biomathematics, 1(1), 67-76. https://doi.org/10.30707/LiB1.1Sun