Thermal modeling of planar and cylindrical biomedical multilayers structures in frequency domain

Planar and cylindrical thermal models of biomedical multilayer structures with perfusion are presented in this paper. For each layer the models are solved analytically in frequency domain using the Laplace transform. Modeling the multilayer structure allows formulating the set of linear equations with unknown integral constants. As a result, the thermal impedance Z_th(jω) is calculated. Next, the poles of thermal impedance are estimated using Vector Fitting (VF) method. Finally, distribution of thermal time constants allows evaluating the temperature response T(t) of the modeled structure.