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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 49, 2006 - Issue 8
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Original Articles

A Numerical Method for Obtaining an Optimal Temperature Distribution in a 3-D Triple-Layered Cylindrical Skin Structure Embedded with a Blood Vessel

Le Zhang Complex Biosystems Modeling Laboratory, Harvard-MIT(HST) A. A. Matinos Center for Biomedical Imaging, Massachusetts General Hospital, Charlestown, Massachusetts, USA
,
Weizhong Dai Mathematics and Statistics, College of Engineering and Science, Louisiana Tech University, Ruston, Louisiana, USACorrespondence[email protected]
&
Raja Nassar Mathematics and Statistics, College of Engineering and Science, Louisiana Tech University, Ruston, Louisiana, USA
Pages 765-784 | Received 08 Apr 2005, Accepted 25 Oct 2005, Published online: 24 Feb 2007
 
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ABSTRACT

In hyperthermia cancer treatments, the crucial problem, when heating the tumor tissue, is keeping the temperature of the normal tissue surrounding the tumor below a certain threshold so as not to cause damage to the tissue. Thus, it is important to optimize the temperature field of the entire treatment region. Recently, we have developed a numerical method for obtaining an optimal temperature distribution in a triple-layered cylindrical skin structure. In this article, we extend our method to a case involving a triple-layered cylindrical skin structure embedded with a blood vessel. The method is illustrated by a numerical example.

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