Calculation of the Dielectric Properties of Biological Tissue Using Simple Models of Cell Patches

Golombeck, M.-A.; Riedel, Christian; Dössel, Olaf

doi:10.1515/bmte.2002.47.s1a.253

Cited by 9 publications

(4 citation statements)

References 7 publications

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“…These and other shape effects were already studied in [10,11,[17][18][19][20]. In [21,22] a piece of tissue is modelled as a brick-like structure. Composites described by the MG and HB formulae also exhibit a drastic change in dielectric properties if the inclusion exceeds the percolation limit yielding the formation of connected regions.…”

Section: Modellingmentioning

confidence: 99%

Modelling effective dielectric properties of materials containing diverse types of biological cells

Huclova¹,

Erni²,

Fröhlich³

2010

J. Phys. D: Appl. Phys.

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An efficient and versatile numerical method for the generation of different realistically shaped biological cells is developed. This framework is used to calculate the dielectric spectra of materials containing specific types of biological cells. For the generation of the numerical models of the cells a flexible parametrization method based on the so-called superformula is applied including the option of obtaining non-axisymmetric shapes such as box-shaped cells and even shapes corresponding to echinocytes. The dielectric spectra of effective media containing various cell morphologies are calculated focusing on the dependence of the spectral features on the cell shape. The numerical method is validated by comparing a model of spherical inclusions at a low volume fraction with the analytical solution obtained by the Maxwell–Garnett mixing formula, resulting in good agreement. Our simulation data for different cell shapes suggest that around 1MHz the effective dielectric properties of different cell shapes at different volume fractions significantly deviate from the spherical case. The most pronounced change exhibits εeff between 0.1 and 1 MHz with a deviation of up to 35% for a box-shaped cell and 15% for an echinocyte compared with the sphere at a volume fraction of 0.4. This hampers the unique interpretation of changes in cellular features measured by dielectric spectroscopy when simplified material models are used.

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Section: Modellingmentioning

confidence: 99%

Modelling effective dielectric properties of materials containing diverse types of biological cells

Huclova¹,

Erni²,

Fröhlich³

2010

J. Phys. D: Appl. Phys.

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“…Figure 10 shows that the results from using this large permittivity were not outlandish. As a comparison to literature values, 9,28 resistivity of 12 and 476 Ωm were used for epineurium and perineurium, respectively, and a relative permittivity from the γ dispersion at 80 for both laminae. Nonetheless, the Comsol model in 10 should be thought of as a best case linear approximation that can be used with linear resistive/capacitive FEM models.…”

Section: Discussionmentioning

confidence: 99%

“…Previous simulations 12,18,33 using a relative permittivity of saline, around 80 34 resulted in a corner frequency well beyond anything that is experimentally measured. Using a relative permittivity of 1130 28 did bring the corner frequency within scope, <100 kHz, but lacked the reactance in the Cole–Cole plot in Figure 10. This would mean that the resistivity would need to be higher and thus the relative permittivity as well.…”

Section: Discussionmentioning

confidence: 99%

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Characterization of the electrical properties of mammalian peripheral nerve laminae

et al. 2023

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Background and Objective:The intrinsic electrical material properties of the laminar components of the mammalian peripheral nerve bundle are important parameters necessary for the accurate simulation of the electrical interaction between nerve fibers and neural interfaces. Improvements in the accuracy of these parameters improve the realism of the simulation and enables realistic screening of novel devices used for extracellular recording and stimulation of mammalian peripheral nerves. This work aims to characterize these properties for mammalian peripheral nerves to build upon the resistive parameter set established by Weerasuriya et al. in 1984 for amphibian somatic peripheral nerves (frog sciatic nerve) that is currently used ubiquitously in the in-silico peripheral nerve modeling community.Methods: A custom designed characterization chamber was implemented and used to measure the radial and longitudinal impedance between 10 mHz and 50 kHz of freshly excised canine vagus nerves using four-point impedance spectroscopy. The impedance spectra were parametrically fitted to an equivalent circuit model to decompose and estimate the components of the various laminae.Histological sections of the electrically characterized nerves were then made to quantify the geometry and laminae thicknesses of the perineurium and epineurium. These measured values were then used to calculate the estimated intrinsic electrical properties, resistivity and permittivity, from the decomposed resistances and reactances. Finally, the estimated intrinsic electrical properties were used in a finite element method (FEM) model of the nerve characterization setup to evaluate the realism of the model. Results:The geometric measurements were as follows: nerve bundle (1.6 ± 0.6 mm), major nerve fascicle diameter (1.3 ± 0.23 mm), and perineurium thickness (13.8 ± 2.1 μm). The longitudinal resistivity of the endoneurium was estimated to be 0.97 ± 0.05 Ωm. The relative permittivity and resistivity of the perineurium were estimated to be 2018 ± 391 and 3.75 kΩm ± 981 Ωm, respectively. The relative permittivity and resistivity of the epineurium were found to be 9.4 × 10 6 ± 8.2 × 10 6 and 55.0 ± 24.4 Ωm, respectively.

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Asymmetric conduction in biological nanopores created by high-intensity, nanosecond pulsing: Inference on internal charge lining the membrane based on a model study

Joshi

Qiu

2015

Journal of Applied Physics

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Nanosecond, high-intensity electric pulses have been reported to open rectifying pores in biological cell membranes. The present goal is to qualitatively understand and analyze the experimental current-voltage (I-V) data. Here, nanopore transport is probed using a numerical method and on the basis of an analytical model. Our results show that geometric asymmetry in the nanopore would not yield asymmetry in the I-V characteristics. However, positive surface charge lining the pore could produce characteristics that compare well with data from patch-clamp measurements, and a value of ∼0.02 C/m2 is predicted from the numerical calculations.

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Calculation of the Dielectric Properties of Biological Tissue Using Simple Models of Cell Patches

Cited by 9 publications

References 7 publications

Modelling effective dielectric properties of materials containing diverse types of biological cells

Modelling effective dielectric properties of materials containing diverse types of biological cells

Characterization of the electrical properties of mammalian peripheral nerve laminae

Asymmetric conduction in biological nanopores created by high-intensity, nanosecond pulsing: Inference on internal charge lining the membrane based on a model study

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