Abstract
In this article, a novel wavelet collocation method based on Fibonacci wavelets is proposed to solve the dual-phase-lag (DPL) bioheat transfer model in multilayer skin tissues during hyperthermia treatment. Firstly, the Fibonacci polynomials and the corresponding wavelets along with their fundamental properties are briefly studied. Secondly, the operational matrices of integration for the Fibonacci wavelets are built by following the celebrated approach of Chen and Haiso. Thirdly, the proposed method is utilized to reduce the underlying DPL model into a system of algebraic equations, which has been solved using the Newton iteration method. Towards the culmination, the effect of different parameters including the tissue-wall temperature, time-lag due to heat flux, time-lag due to temperature gradient, blood perfusion, metabolic heat generation, heat loss due to diffusion of water, and boundary conditions of various kinds on multilayer skin tissues during hyperthermia treatment are briefly presented and all the outcomes are portrayed graphically.
Highlights
Cancer is the leading cause of death in the human population with an annual death rate of 10 million approximately
To check that the temperature distribution does not surpass 46 ◦ C in the multilayer skin tissue, some thermophysical properties of skin tissue are required for treatment of the tumor
We can say that the temperature distribution at the tumor location during hyperthermia treatment is affected by the boundary conditions
Summary
Cancer is the leading cause of death in the human population with an annual death rate of 10 million approximately. Romano et al [5] investigated the effects of temperature and its potential role in pars plana vitrectomy and found that the variations in temperature during vitreoretinal surgery are clinically significant, as the rheology of tamponades can be better manipulated by modulating intraocular pressure and temperature They showed that rapid circulation of fluid in the vitreous cavity reduces the heat produced by the retinal and choroidal surface, bringing the temperature toward room temperature. The proper modeling and analysis of treatment play an indispensable role in optimizing the temperature distribution in the affected region This lead to the birth of several heat transfer models including the Wulff model [6], the Klinger model [7], the Cao-Yang-Srivastava model [8], the Chen-Holmes model [9], the WeinbaumJiji model [10], the Nakayama-Kuwahara model [11], and the Pennes bioheat transfer model [12]
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