An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient
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 ou...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/734020 |
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| _version_ | 1832558711860625408 |
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| author | Seyed Ali Aghayan Dariush Sardari Seyed Rabii Mahdi Mahdavi Mohammad Hasan Zahmatkesh |
| author_facet | Seyed Ali Aghayan Dariush Sardari Seyed Rabii Mahdi Mahdavi Mohammad Hasan Zahmatkesh |
| author_sort | Seyed Ali Aghayan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-33459339c69042319ec7feecd5defe8b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-33459339c69042319ec7feecd5defe8b2025-02-03T01:31:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/734020734020An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer CoefficientSeyed Ali Aghayan0Dariush Sardari1Seyed Rabii Mahdi Mahdavi2Mohammad Hasan Zahmatkesh3Faculty of Engineering, Science and Research Branch, Islamic Azad University, P.O. Box 14515-775, Tehran, IranFaculty of Engineering, Science and Research Branch, Islamic Azad University, P.O. Box 14515-775, Tehran, IranMedical Physics, Tehran University of Medical Science, Tehran, IranMedical Physics, Shahid Beheshti University, Tehran, IranA 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.http://dx.doi.org/10.1155/2013/734020 |
| spellingShingle | Seyed Ali Aghayan Dariush Sardari Seyed Rabii Mahdi Mahdavi Mohammad Hasan Zahmatkesh An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient Journal of Applied Mathematics |
| title | An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient |
| title_full | An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient |
| title_fullStr | An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient |
| title_full_unstemmed | An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient |
| title_short | An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient |
| title_sort | inverse problem of temperature optimization in hyperthermia by controlling the overall heat transfer coefficient |
| url | http://dx.doi.org/10.1155/2013/734020 |
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