Assessment of Steady-State Temperature Elevation in a 3-Layer Tissue Model: A Simplified Analytical Approach
The paper deals with a simplified procedure for the assessment of steady-state temperature increase in one-dimensional 3-layer tissue model (composed of skin, fat and muscle) using analytical approach. The solution of a simplified variant of Pennes' bioheat transfer Equation (PBHE) reduces the number of parameters in the parametric analysis, resulting in modified equation that can be solved analytically using the classical theory of ordinary differential equations in each tissue layer. The steady-state temperature distribution in 3-layer tissue model, exposed to an incident time harmonic electromagnetic (EM) field, is governed by the stationary form of the PBHE supplemented by the Robin boundary condition (BC). The presented results are given for the case of a constant and exponentially decreasing power density vs tissue depth. The results show that the obtained solution gives an overestimation of steady-state temperature due to EM radiation compared to other analytical methods.