ABSTRACT
Since the thermal relaxation time of bio-heat transfer in non-homogenous materials is usually much smaller than that of the heating duration, the dynamic behaviors of a thermal wave can thus be characterized only via an associated temperature characterization process. The effect of tumor treatment in the process of hyperthermia is closely related to the dynamic profile of a thermal wave that, in turn, is a function of the temperature raised in the neighboring area of the tumor by laser irradiation or other equivalent physical means. In order to fully characterize the process of hyperthermia treatment for living tissue under different surface heat sources, this paper proposes an innovative numerical scheme to elaborate on the dynamic behavior of the temperature distribution and thermal wave patterns in various treatments. The treatment effect in terms of various relaxation times, treatment duration, amplitude of sinusoidal function, and related underlying thermal behaviors are investigated. The results indicate that the proposed differential transformation method is effective and accurate in solving the hyperbolic heat conduction problems.
