An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient

Author:

Aghayan Seyed Ali1,Sardari Dariush1,Mahdavi Seyed Rabii Mahdi2,Zahmatkesh Mohammad Hasan3

Affiliation:

1. Faculty of Engineering, Science and Research Branch, Islamic Azad University, P.O. Box 14515-775, Tehran, Iran

2. Medical Physics, Tehran University of Medical Science, Tehran, Iran

3. Medical Physics, Shahid Beheshti University, Tehran, Iran

Abstract

A novel scheme to obtain the optimum tissue heating condition during hyperthermia treatment is proposed. To do this, the effect of the controllable overall heat transfer coefficient of the cooling system is investigated. An inverse problem by a conjugated gradient with adjoint equation is used in our model. We apply the finite difference time domain method to numerically solve the tissue temperature distribution using Pennes bioheat transfer equation. In order to provide a quantitative measurement of errors, convergence history of the method and root mean square of errors are also calculated. The effects of heat convection coefficient of water and thermal conductivity of casing layer on the control parameter are also discussed separately.

Publisher

Hindawi Limited

Subject

Applied Mathematics

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