title: A numerical study on dual-phase-lag model of bio-heat transfer during hyperthermia treatment.
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 τT. 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.
authors.affiliation: Department of Mathematical Sciences, IIT-BHU, Varanasi, India. Electronic address: pkumar.rs.apm12@itbhu.ac.in.
authors.forename: P
authors.initials: P
authors.lastname: Kumar
authors.affiliation: DST-CIMS, Faculty of Science, BHU, Varanasi, India. Electronic address: dineshaukumar@gmail.com.
authors.forename: Dinesh
authors.initials: D
authors.lastname: Kumar
authors.affiliation: Department of Mathematical Sciences, IIT-BHU, Varanasi, India; DST-CIMS, Faculty of Science, BHU, Varanasi, India. Electronic address: knrai.apm@itbhu.ac.in.
authors.forename: K N
authors.initials: KN
authors.lastname: Rai
mesh_terms: D001831:Body Temperature; D003198:Computer Simulation; D004735:Energy Transfer; D020342:Finite Element Analysis; D006358:Hot Temperature; D006801:Humans; D006979:Hyperthermia, Induced; D008954:Models, Biological; D009369:Neoplasms / Q000628:therapy*
keywords: Boundary condition; DPL bio-heat conduction model; Finite element wavelet Galerkin method; Gaussian distribution; Hyperthermia