Analytical Model for Tri-Dimensional Fourier Bioheat Transfer Encountered in Regional Hyperthermia

Abstract

Present research work is devoted to establish exact solution of three-dimensional Fourier’s bioheat model subjected to regional Hyperthermia. Existing literature survey indicates a large number of research work have reported in one-dimensional and two-dimensional approach, but not much researchers have focused on three-dimensional modelling. In practical sense, energy propagation is always in multi-dimensional manner, hence three-dimensional analysis would be considered as better approach in comparison with one and two-dimensional investigation. As suggested by medical protocol of thermal therapy, regional hyperthermia occurs in large sized organs (prostrate, breast etc.) and in such cases three dimensional study is essential. To solve three-dimensional Fourier bioheat model, hybrid analytical scheme comprising of ‘shift of variables’ and ‘finite Fourier transform’ have been employed. The novelty os this research work is implementation of spatially dependent initial condition as highly non-homogeneous and non-uniform structures are observed in living tissues. The boundary conditions are imposed in most realistic approach. The research output have been validated and justified with the published numerical research work and it indicates the maximum temperature deviation of 0.215%.