How heterogenous structure of tissue effects its dielectric characteristics

In the presented paper a new mathematical model of dispersion beta in tissu e dielectric response is introduced. It is proposed that interfacial phenom ena and scaling properties of tissue account for power-law form of this reg ion. The response beta of tissue is considered with regard to probabilistic nature of its membrane components. The system is represented by an electri c circuit of parallel R-C subcircuits with randomly distributed R and C val ues. It is shown that for the power law behaviour of tissue dielectric susc eptibility chi(omega) in the beta response area the distribution of the var iate (RC)(-1), representing the relaxation rate of a single subcircuit, sho uld have heavy tails. The results indicate that the variations in local env ironment (local randomness) can provide a basis for self-similar relaxation dynamics without the need for hierarchically constrained fractal models.