Wavelet analysis of DPL bioheat transfer model for cylindrical tissues during thermal ablation

Abstract

This paper numerically investigates the thermal behavior in a cylindrical tissue under non-Fourier boundary condition with dual-phase-lag bioheat transfer problem during thermal ablation. A hybrid method based on Legendre wavelets and finite difference approach are applied to determine an approximate analytic solution of the current problem. The correctness and feasibility of the present numerical scheme has been shown by comparing with exact solution under particular case. It has been observed that lower blood temperature gives rise to lower tissue temperature at the thermal ablation position. So, in order to get precise thermal data for treatment, blood temperature of particular patient must be taken into consideration for patient specific treatment. One of the main objective of this article is to minimize thermal damage outside the thermal ablation position. Our study demonstrates that outside the tumor position, normothermia condition exists, throughout the treatment time that reduces the risk of infection, minimizes thermal damages and ensure that patient feel comfortably well during the period. The specific heating plays a key role in the success of thermal ablation treatment and selection of Gaussian distribution source term helps to achieve the purpose. The radius of heat source, effective radius of heat flux and maximum heat flux generated are the important parameters of Gaussian heat source and computed thermal data strongly depends on them. The variation in the values of radius of heat source allows us specific heating(heating at a particular position) in the thermal ablation process so that the specific tumor can be treated. Both effective radius of heat flux and maximum heat flux applied gives the control of temperature at the thermal ablation position. Moreover, temperature rise at the tumor location is uniform in case of maximum heat flux applied. The present analysis will be helpful for medical community for better use of thermal data during thermal ablation.