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A comparison between analytical and numerical solution of the Krogh's tissue cylinder model for human bone marrow
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.
Funding
Commonwealth Scholarship Commission.
History
School
- Aeronautical, Automotive, Chemical and Materials Engineering
Department
- Chemical Engineering
Published in
Journal of Chemical EngineeringVolume
24Pages
1 - 1Citation
ISLAM, M., 2006. A comparison between analytical and numerical solution of the Krogh's tissue cylinder model for human bone marrow. Journal of Chemical Engineering (Bangladesh), 24 (1), pp.1-6.Publisher
Bangladesh Journals OnlineVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2006ISSN
2221-7436eISSN
2408-8617Publisher version
Language
- en