Solving the Inverse Problem for the Havriliak–Negami Model in the Detection of Breast Tumors by Impedance Spectroscopy

The inverse problem of calculating coefficients in the Havriliak–Negami model has been considered in order to determine the structure of an inhomogeneous dielectric object on the basis of determining the parameters and analyzing the frequency characteristics of the relative permittivity. A method for calculating coefficients in the Havriliak–Negami model using three measurements of the complex permittivity at various frequencies has been applied. A numerical method has been developed to determine the coefficients in the Havriliak–Negami model, which is used in dielectric spectroscopy for early detection of tumors in the mammary gland.