Abstract
We investigate electro-mechanical contributions to the low frequency dielectric response of biological cells in colloidal suspension. Prior simulations of biological cells in colloidal suspension yield maximum dielectric constant values about 3 10 in magnitude as the frequency of applied electric fields drops below the kHz range. Experimentally measured relative dielectric values in yeast cells, on the other hand, have maximal values up to 7 10 - 8 10 . We consider both electrical and mechanical energy stored in cellular suspension and show that low frequency mechanical contributions can give rise to dielectric constant values of this magnitude.
Highlights
Biological cells in colloidal suspension are often modeled as having primarily electromagnetic interactions with an external ac electric field
We show that the mechanical contributions in the α dispersion range can result in effective dielectric constant values up to107 -108, whereas β dispersion effects only give maximum dielectric constant values of about103 in magnitude
To help our visualization of the examples given refer to explicit formulations of dipole moment of a cell, torque, and the damping coefficient, D,of a cell experiencing electromotive rotation in a fluid. These will lead to a dimensional analysis description of a general coefficient for dielectric values of a cell, which will experience specific functional variation of parameters leading to answering an inflection point, such question signifying the as when onset of wα e can expect dispersion effects when we plot cell dielectric constant values as a function of the frequency of an applied electric field to biological cells in colloidal suspension
Summary
Biological cells in colloidal suspension are often modeled as having primarily electromagnetic interactions with an external ac electric field. Prior numerical simulations [2] used formalism appropriate for β dispersion effects, i.e. Maxwell–Wagner based dispersion models [1] Experimental values for the low frequency differ from what is predicted using Maxwell-Wagner [3] based calculations. Maxwell–Wagner based dispersion models [1] Experimental values for the low frequency differ from what is predicted using Maxwell-Wagner [3] based calculations We argue that this discrepancy is due to electro – mechanical effects which are not significant in higher frequencies because of inertial effects. We can obtain a general expression for cell values, i.e. We shall attempt to make a general derivation of ωcell so as to give a detailed experimentally accessible formulation of how angular velocity of a cell influences formation of actual dielectric values, using equation 2.7 above
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