Dielectric behaviour of graded spherical cells with an intrinsic dispersion

TL;DR

This paper analytically investigates the dielectric properties of spherical cells with intrinsic dispersion, extending to graded core models with spatial property gradients, providing insights into cell electrokinetics.

Contribution

It introduces analytical expressions for dielectric dispersion in single-shell and graded spherical cell models, enhancing understanding of cell electrokinetics with parameter influence.

Findings

Analytic expressions for dispersion strengths and frequencies

Effects of model parameters on dielectric behavior

Extension to graded cell core models

Abstract

The dielectric properties of single-shell spherical cells with an intrinsic dielectric dispersion has been investigated. By means of the dielectric dispersion spectral representation (DDSR) for the Clausius-Mossotti (CM) factor, we express the dispersion strengths as well as the characteristic frequencies of the CM factor analytically in terms of the parameters of the cell model. These analytic expressions enable us to assess the influence of various model parameters on the electrokinetics of cells. Various interesting behaviours have been reported. We extend our considerations to a more realistic cell model with a graded core, which can have spatial gradients in the conductivity and/or permittivity. To this end, we address the effects of a graded profile in a small-gradient expansion in the framework of DDSR.