Numerical and Mathematical Modeling of an Unsteady Heat Transfer within a Spherical Cavity: Applications Laser in Medicine

The main purpose of this work is to establish a numerical and mathematical modeling of heat transfer phenomenon in spherical cavities in order to model biological tissues. The idea of this study is to address the medical need to know the maximum amount of heat that a human tissue can withstand from an outside treatment session to minimize the side effects that a patient may suffer from after an hypothermic treatment such as removal of a tumor by laser. The studied phenomenon is governed by mathematical equations whose numerical solution allowed the determination of the temperature profile in different layers of the skin (epidermis, dermis, subcutaneous tissue).We have studied the influence of certain temperature parameters on laser, namely: power, spot diameter and irradiation time.