Effect of Inhomogeneities and Finite Boundaries on Temperature Distributions in a Perfused Medium, With Application to Tumors

[+] Author and Article Information
R. K. Jain

Department of Chemical Engineering and Applied Chemistry, Columbia University, New York, N. Y. 10027; Department of Chemical Engineering, Carnegie-Mellon University, Pittsburgh, Pa. 15213

J Biomech Eng 100(4), 235-241 (Nov 01, 1978) (7 pages) doi:10.1115/1.3426216 History: Received July 05, 1978; Online October 21, 2010


Analytical and numerical solutions are obtained for temperature distributions in a finite and inhomogeneous perfused medium with internal heat generation. Extensive numerical simultations are carried out using parameters characteristic of a solid tumor, Walker 256 carcinoma. The results obtained adequately describe the existing data on temperature distributions in tumors under two different conditions: (i) tumors under normal conditions, and (ii) tumors grown about and subsequently heated by a spherical heat source implanted in their center.

Copyright © 1978 by ASME
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