Substrate Diffusion and Consumption in Rectangular Capillary-Tissue Bed

Authors

  • Liang Sun School of Science and Technology, Georgia Gwinnett College, Lawrenceville, GA Author

DOI:

https://doi.org/10.30707/LiB1.1Sun

Keywords:

diffusion, capillary supply region, microcirculation

Abstract

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

Issue

Section

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

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