Accurate dielectric modelling of shelled particles and cells

Sancho, M.; Martı́nez, G; Martín, C.

doi:10.1016/s0304-3886(02)00123-7

Cited by 44 publications

(24 citation statements)

References 28 publications

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“…The effective polarizability is readily obtained from a eff ¼ Reðp Þ=E 0 . The solution is very accurate, as has been demonstrated by several test examples [Sancho et al, 2003;Sanchis et al, 2004] even using a small number of elements.…”

Section: Numerical Model Of Bacteriamentioning

confidence: 66%

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Dielectric characterization of bacterial cells using dielectrophoresis

Sanchis

Brown²,

Sancho

et al. 2007

Bioelectromagnetics

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Measurements of dielectrophoretic collection spectra of Escherichia coli and Staphylococcus aureus suspensions are used for obtaining dielectric characteristics of both types of bacteria. The experiments are interpreted using a numerical method that models the cells as compartmented spherical or rod-like particles. We show the usefulness of this simple method to extract significant information about the electrical properties of Gram-negative and -positive bacteria.

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Section: Numerical Model Of Bacteriamentioning

confidence: 66%

“…When immersed in an external field, a dielectric body produces an electric field given in quasi-static approximation by the integral expression [Sancho et al, 2003]; …”

Section: Numerical Model Of Bacteriamentioning

confidence: 99%

Dielectric characterization of bacterial cells using dielectrophoresis

Sanchis

Brown²,

Sancho

et al. 2007

Bioelectromagnetics

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“…To calculate the second-order contributions to the force and torque we use a technique that, although belonging to the family of BEMs in that only bounding surfaces have to be discretized, is based on an integral equation for the polarization charge density induced on the dielectric interfaces in the quasistatic approximation [51,52]. Since the numerical discretization of this integral equation does not involve any type of polynomial approximation, the surface mesh can consist of a reasonably small number of elements that yield an easily solvable system of linear equations free from numerical instabilities (contrary to what happens in the discretization of similar integral equations for the electric potential for a current source [53]).…”

Section: Equivalent Permittivity and Second-order Contribution Fromentioning

confidence: 99%

“…In Ref. [51] it is shown that the complex surface densityτ satisfies the integral equatioñ (13) whereτ 0 (r) = ε 0 E 0n (r), E 0n (r) is the normal component of the field produced by the external sources, and S is the interface. The generalization of Eq.…”

Section: Equivalent Permittivity and Second-order Contribution Fromentioning

confidence: 99%

Electromechanical effects on multilayered cells in nonuniform rotating fields

Sebastián

Muñoz²,

Martı́nez³

et al. 2011

Phys. Rev. E

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We use the Maxwell stress tensor to calculate the dielectrophoretic force and electrorotational torque acting on a realistic four-shelled model of the yeast Saccharomyces cerevisiae in a nonuniform rotating electric field generated by four coplanar square electrodes. The comparison of these results with numerical calculations of the dipolar and quadrupolar contributions obtained from an integral equation for the polarization charge density shows the effect of the quadrupole contribution in the proximity of the electrode plane. We also show that under typical experimental conditions the substitution of the multilayered cell by an equivalent cell with homogeneous permittivity underestimates the quadrupole contribution to the force and torque by 1 order of magnitude.

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“…However, analytical methods can only be applied to very simple geometrical cell shapes. Thus, numerical techniques such as the finite element (FEM) [7,8] or the boundary element methods (BEM) [9][10][11] are used to determine the electric properties of both single-cell and cell suspensions with a realistic cell geometry and structure.…”

Section: Introductionmentioning

confidence: 99%

Dielectric Characterization of the Yeast Cell Budding Cycle

Franco¹,

Otero²,

Madronero³

et al. 2013

PIER

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Abstract-We combine experimental electrorotation data and the numerical analysis of the electrorotation chamber and cell to electrically characterize the Saccharomyces cerevisiae yeast budding cell cycle and to obtain the electrical parameters of the cell. To model the yeast cell we use spherical and doublet-shaped geometries with a four layered structure: cytoplasm, membrane, inner and outer walls. To derive the geometrical and electrical parameters of the yeast model we use the finite element method to calculate the yeast rotational velocity spectrum and apply the least-square method to fit the calculated values to experimental data. We show that the calculated yeast electrorotation spectra undergo significant changes throughout its budding cycle and that the calculated spectra fit experimental data obtained for 0% (start) and 50% representative budding stages very well. The analysis also shows the small variation of the rotation crossover frequency within a full span of the yeast growth cycle. As an application of this work, we apply the Maxwell-Wagner formalism to obtain the dielectric spectra of truly synchronized yeast suspensions.

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Accurate dielectric modelling of shelled particles and cells

Cited by 44 publications

References 28 publications

Dielectric characterization of bacterial cells using dielectrophoresis

Dielectric characterization of bacterial cells using dielectrophoresis

Electromechanical effects on multilayered cells in nonuniform rotating fields

Dielectric Characterization of the Yeast Cell Budding Cycle

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