Numerical model of heat transfer between blood vessel and biological tissue
Abstract
The thermal processes proceeding within a perfused tissue in the presence of a vessel are considered. The Pennes bio-heat transfer equation determines the steady state temperature field in tissue sub-domain, while the ordinary differential equation resulting from the energy balance describes the change of blood temperature along the vessel. The coupling of above equations results from the boundary condition given on the blood vessel wall. The problem is solved using the combined numerical algorithm, in particular the boundary element method (for the tissue sub-domain) and the finite differences method (for blood vessel sub-domain).
References
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[2] R. Białecki, A. Nowak, R. Nahlik. Application of axially symmetrical fundamental solution and Green's function in the BEM (in Polish). In: Proceedings of the Conference Modelling in Mechanics. PTMTiS, Gliwice, 29- 36, 1982.
[3] C.A. Brebbia, J. Dominiguez. Boundary Elements - An Introductory Course. Comp. Mech. Publications and Mc Graw- Hill Book Co., Southampton and Boston, 1992.
[4] C.A. Brebbia, J.C.F. Telles, L.C. Wrobel. Boundary Element Techniques. Springer-Verlag, Berlin-Heidelberg-New York, Tokyo, 1984.
[5] H. Brinck, J. Werner. Estimation of the thermal effect of blood flow in a branching countercurrent network using a three-dimensional vascular model. Journal of Biomechanical Engineering, Transactions of the ASME, 116: 324- 330, 1994.
Published
2023-05-22
Issue
pp. 439-447
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Majchrzak, E., & Mochnacki, B. (2023). Numerical model of heat transfer between blood vessel and biological tissue. Computer Assisted Methods in Engineering and Science, 6(3-4), 439-447. https://cames3.ippt.pan.pl/index.php/cames/article/view/1304
