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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/10827
Title: A numerical study on dual-phase-lag model of bio-heat transfer during hyperthermia treatment
Authors: Kumar P.
Kumar D.
Rai K.N.
Published in: Journal of Thermal Biology
Abstract: The success of hyperthermia in the treatment of cancer depends on the precise prediction and control of temperature. It was absolutely a necessity for hyperthermia treatment planning to understand the temperature distribution within living biological tissues. In this paper, dual-phase-lag model of bio-heat transfer has been studied using Gaussian distribution source term under most generalized boundary condition during hyperthermia treatment. An approximate analytical solution of the present problem has been done by Finite element wavelet Galerkin method which uses Legendre wavelet as a basis function. Multi-resolution analysis of Legendre wavelet in the present case localizes small scale variations of solution and fast switching of functional bases. The whole analysis is presented in dimensionless form. The dual-phase-lag model of bio-heat transfer has compared with Pennes and Thermal wave model of bio-heat transfer and it has been found that large differences in the temperature at the hyperthermia position and time to achieve the hyperthermia temperature exist, when we increase the value of Ï„T. Particular cases when surface subjected to boundary condition of 1st, 2nd and 3rd kind are discussed in detail. The use of dual-phase-lag model of bio-heat transfer and finite element wavelet Galerkin method as a solution method helps in precise prediction of temperature. Gaussian distribution source term helps in control of temperature during hyperthermia treatment. So, it makes this study more useful for clinical applications. © 2015 Elsevier Ltd.
Citation: Journal of Thermal Biology (2015), 49-50(): 98-105
URI: https://doi.org/10.1016/j.jtherbio.2015.02.008
http://repository.iitr.ac.in/handle/123456789/10827
Issue Date: 2015
Publisher: Elsevier Ltd
Keywords: Boundary condition
DPL bio-heat conduction model
Finite element wavelet Galerkin method
Gaussian distribution
Hyperthermia
ISSN: 3064565
Author Scopus IDs: 57211464253
57202478211
36442806900
Author Affiliations: Kumar, P., Department of Mathematical Sciences, IIT-BHU, Varanasi, India
Kumar, D., DST-CIMS, Faculty of Science, BHU, Varanasi, India
Rai, K.N., Department of Mathematical Sciences, IIT-BHU, Varanasi, India, DST-CIMS, Faculty of Science, BHU, Varanasi, India
Funding Details: The authors of this paper expresses their sincere thanks to the editor and reviewers for their valuable suggestions in the improvement of this article. The first author is also thankful to the UGC, New Delhi, India, for the financial support under the JRF ( 17-06/2012 /(i)EU-V) scheme. The second and third authors are also thankful to the DST-CIMS, BHU, for providing the necessary facility during the preparation of the paper.
Corresponding Author: Kumar, P.; Department of Mathematical Sciences, IIT-BHUIndia
Appears in Collections:Journal Publications [ME]

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