A numerical study on nonlinear DPL model for analyzing heat transfer in tissue during thermal therapy |
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| Authors: | Pooja Maurya Dinesh Kumar Sunil Kumar Sharma V Upadhyay |
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| Affiliation: | 1. Department of Physical Sciences, M.G.C.G.V. Chitrakoot, Satna, Madhya Pradesh, India;2. Department of Mathematics, Government Polytechnic College, Nawada, Bihar, India;3. Collage of Computer and Information Sciences, Majmaah University, Majmaah, Saudi Arabia |
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| Abstract: | In the present paper, therapeutic treatment of infected tumorous cells has been studied through mathematical modeling and simulation of heat transfer in tissues by using a nonlinear dual-phase lag bioheat transfer model with Dirichlet boundary condition. The components of volumetric heat source in this model such as blood perfusion and metabolism are assumed experimentally validated temperature-dependent function, which gives more accurate temperature distribution in tissues through this model. We have used the finite difference and RK (4, 5) techniques of numerical methods to solve the proposed problem and obtained the exact solution in a particular case. After comparison, we got a good agreement between them. We have used dimensionless quantities throughout this paper. The effect of relaxation and thermalization time with respect to dimensionless temperature distribution has been analyzed in the treatment process. |
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| Keywords: | experimental data heat transfer nonlinear DPL bioheat transfer model temperature-dependent blood perfusion thermal therapy tissues temperature-dependent metabolism |
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