An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient. (5th August 2013)

• Record Type: Journal Article
• Authors: Aghayan, Seyed Ali; Sardari, Dariush; Mahdavi, Seyed Rabii Mahdi; Zahmatkesh, Mohammad Hasan
• Other Names: Chow Tin-Tai Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-08-05
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/734020
• Languages: English
• ISSNs: 1110-757X

Abstract

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.