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Dielectric spectroscopy of single cells: time domain analysis using Maxwell’s mixture equation

Dielectric spectroscopy of single cells: time domain analysis using Maxwell’s mixture equation
Dielectric spectroscopy of single cells: time domain analysis using Maxwell’s mixture equation
Dielectric spectroscopy is a powerful tool for investigating the dielectric properties of biological particles in suspension. For low volume fractions, the dielectric properties of the particles are related to the measured properties of the suspension by Maxwell’s mixture equation. A number of different techniques can be used to measure the dielectric spectrum in the frequency domain or the time domain. In time domain dielectric spectroscopy, data can be converted into the frequency domain using convolution or Fourier transform, prior to data analysis. In this paper, we present a general method for transforming Maxwell’s mixture equation from the frequency domain to the time domain allowing analysis of cell dielectric properties directly in the time domain. The derivation is based on the Laplace transform of the single shell model for a spherical particle, and can be extended to the multi-shell model. For a single shelled cell two characteristic relaxation time constants are derived. The results are compared with published analytical models. We show that the original frequency dependent mixture equation can be recovered by Fourier transform back to the frequency domain. As a result, a general relationship for the dielectric response of a mixture of particles is presented which links the frequency and time domains.
0022-3727
1-8
Sun, Tao
b2f8e932-a7e6-4fe7-94dd-5c4ce725eacb
Gawad, Shady
98f746a7-4bcc-42bb-a450-dafda85be29c
Green, Nicolas G
d9b47269-c426-41fd-a41d-5f4579faa581
Morgan, Hywel
de00d59f-a5a2-48c4-a99a-1d5dd7854174
Sun, Tao
b2f8e932-a7e6-4fe7-94dd-5c4ce725eacb
Gawad, Shady
98f746a7-4bcc-42bb-a450-dafda85be29c
Green, Nicolas G
d9b47269-c426-41fd-a41d-5f4579faa581
Morgan, Hywel
de00d59f-a5a2-48c4-a99a-1d5dd7854174

Sun, Tao, Gawad, Shady, Green, Nicolas G and Morgan, Hywel (2007) Dielectric spectroscopy of single cells: time domain analysis using Maxwell’s mixture equation. Journal of Physics D: Applied Physics, 40, 1-8. (doi:10.1088/0022-3727/40/1/S01).

Record type: Article

Abstract

Dielectric spectroscopy is a powerful tool for investigating the dielectric properties of biological particles in suspension. For low volume fractions, the dielectric properties of the particles are related to the measured properties of the suspension by Maxwell’s mixture equation. A number of different techniques can be used to measure the dielectric spectrum in the frequency domain or the time domain. In time domain dielectric spectroscopy, data can be converted into the frequency domain using convolution or Fourier transform, prior to data analysis. In this paper, we present a general method for transforming Maxwell’s mixture equation from the frequency domain to the time domain allowing analysis of cell dielectric properties directly in the time domain. The derivation is based on the Laplace transform of the single shell model for a spherical particle, and can be extended to the multi-shell model. For a single shelled cell two characteristic relaxation time constants are derived. The results are compared with published analytical models. We show that the original frequency dependent mixture equation can be recovered by Fourier transform back to the frequency domain. As a result, a general relationship for the dielectric response of a mixture of particles is presented which links the frequency and time domains.

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More information

Published date: January 2007
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 263375
URI: https://eprints.soton.ac.uk/id/eprint/263375
ISSN: 0022-3727
PURE UUID: 3da124ed-711d-477a-8a48-7756d5f67a6d
ORCID for Nicolas G Green: ORCID iD orcid.org/0000-0001-9230-4455
ORCID for Hywel Morgan: ORCID iD orcid.org/0000-0003-4850-5676

Catalogue record

Date deposited: 02 Feb 2007
Last modified: 10 Sep 2019 00:45

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