A Comparison between Analytical and Numerical Solution of the Krogh's Tissue Cylinder Model for Human Bone Marrow

Authors

  • MA Islam Department of Chemical Engineering and Applied Chemistry, University of Toronto, 200 College Street, Toronto

DOI:

https://doi.org/10.3329/jce.v24i0.5576

Keywords:

Krogh's Tissue Cylinder Model, human bone marrow

Abstract

The Danish physiologist, August Krogh is the founder of the theory of oxygen transport to tissues. It was
his famous tissue cylinder model developed for skeletal muscle, together with his colleague mathematician
Erlang that laid down the foundation of the mathematical modeling of oxygen transport to tissues. Here an
analytical solution of the Krogh’s model has been presented based on justifiable assumptions in order to
validate the numerical approach used to solve more realistic oxygen transport models. The numerical
solution of Krogh’s model is performed using computational fluid dynamics (CFD) software CFX 4.4.
From the analytical solution, it is demonstrated that variation from the numerical result is less than 0.2%
which in turn justifies the use of computer software in developing mathematical model for such
physiological systems like BM.

Journal of Chemical Engineering Vol.ChE 24 2006 1-6

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Published

2010-07-21

How to Cite

Islam, M. (2010). A Comparison between Analytical and Numerical Solution of the Krogh’s Tissue Cylinder Model for Human Bone Marrow. Journal of Chemical Engineering, 24, 1–6. https://doi.org/10.3329/jce.v24i0.5576

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Articles