Transmembrane voltage induced on a cell membrane in suspensions exposed to an alternating field: A theoretical analysis

Qin, Yurong; Lai, Shengli; Jiang, Yuehua; Yang, Taicheng; Wang, Jie

doi:10.1016/j.bioelechem.2005.01.001

Cited by 21 publications

(19 citation statements)

References 17 publications

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“…In this way, differences in the results were independent from the cell density but due to the different conditions tested. In fact, considering a diameter of 25 to 30 mm for MG-63 cells, 55 the volume fraction of cells 56,57 in monolayer is 0.52 to 0.75 that gives an effective electric field that is 84% to 95% of the applied one. From these data it was determined that by applying 1000 V/ cm the transmembrane voltage is 3.15 to 8.56 V. This transmembrane voltage is larger with respect to the typical one to form cell membrane pores 58 (ie, 0.2-1 V).…”

Section: Discussionmentioning

confidence: 99%

Evaluation of the Electroporation Efficiency of a Grid Electrode for Electrochemotherapy

Ongaro

Campana

Mattei

et al. 2015

Technol Cancer Res Treat

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Electrochemotherapy (ECT) is a local anticancer treatment based on the combination of chemotherapy and short, tumorpermeabilizing, voltage pulses delivered using needle electrodes or plate electrodes. The application of ECT to large skin surface tumors is time consuming due to technical limitations of currently available voltage applicators. The availability of large pulse applicators with few and more spaced needle electrodes could be useful in the clinic, since they could allow managing large and spread tumors while limiting the duration and the invasiveness of the procedure. In this article, a grid electrode with 2-cm spaced needles has been studied by means of numerical models. The electroporation efficiency has been assessed on human osteosarcoma cell line MG63 cultured in monolayer. The computational results show the distribution of the electric field in a model of the treated tissue. These results are helpful to evaluate the effect of the needle distance on the electric field distribution. Furthermore, the in vitro tests showed that the grid electrode proposed is suitable to electropore, by a single application, a cell culture covering an area of 55 cm 2 . In conclusion, our data might represent substantial improvement in ECT in order to achieve a more homogeneous and time-saving treatment, with benefits for patients with cancer.

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Section: Discussionmentioning

confidence: 99%

Evaluation of the Electroporation Efficiency of a Grid Electrode for Electrochemotherapy

Ongaro

Campana

Mattei

et al. 2015

Technol Cancer Res Treat

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“…Under the same assumptions, the membrane relaxation time constant can be approximated by (Qin, et al, 2005) …”

Section: Electroporation Theorymentioning

confidence: 99%

“…Substantially accurate transmembrane potentials for sub-breakdown conditions can be calculated for simple cell geometries (Gaynor and Bodger 1995a and b;Qin, et al, 2005;Kotnik and Miklavčič, 2000). However, the dynamic aspects of membrane electroporation and effect of variable cell-system geometry are extremely difficult to model, although a number of models do exist for both single cells and tissue systems (Jayaram and Boggs, 2004;Tarek, 2005;DeBruin and Krassowska 1999, Smith et al, 2004, Gowrishankar and Weaver, 2003, Ramos et al, 2003.…”

Section: Electroporation Theorymentioning

confidence: 99%

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Physical modelling of electroporation in close cell-to-cell proximity environments

Gaynor

Bodger

2006

Phys. Med. Biol.

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Many applications of electroporation, especially those utilizing electrofusion and in-vivoelectroporation, involve cell environments that include close cell to cell proximity and a wide range of target cell size. It is important to understand how this kind of environment may alter optimum electroporation electrical parameters for any given application. A physical, electrically equivalent model of biological cell electroporation, based on aqueous solution filled thin latex rubber membrane spheroids, was used to investigate membrane permeabilization behaviour where there is both close cell to cell proximity and different cell radii.Cell model arrangements were pulsed using either a 50 µs or 10 µs, 1/e decay time constant DC capacitive discharge electric field, with peak amplitudes of 160-500 kVm -1 .Results indicate that compared to cells in isolation, electroporation initiates at substantially decreased applied electric field magnitudes in regions of close cell to cell proximity where the external media conductivity is lower than the cell interior conductivity, and the membrane is maximally polarized. Additionally, the use of shorter time constant, higher peak magnitude pulse parameters should reduce the relative difference in threshold membrane permeabilization in regions of close cell to cell proximity for cells of different size so that the degree of electroporation is more uniform for variable size and shape target cell populations.

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“…On the other hand, for calculation of the effective conductivity, it was shown by several studies [10], [18], [19], [28] that approximate effective medium theory (EMT) equations can be effectively used to interpret experimental data. In one of the recent studies, Qin et al [29] proposed that analytical EMT equations could also be used to obtain an analytical approximation for the induced TMP in dense cell systems.…”

Section: Introductionmentioning

confidence: 99%

The Effective Conductivity and the Induced Transmembrane Potential in Dense Cell System Exposed to DC and AC Electric Fields

Pavlin

Miklavčič

2009

IEEE Trans. Plasma Sci.

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Abstract-Studying electric potential distribution on the cell membrane and electric conductivity gives us an insight into the effects of the electric field on cells and tissues. Since cells are always surrounded by other cells, we studied how their interactions influence the induced transmembrane potential (TMP) and the effective conductivity in dense cell systems. We numerically and analytically studied the effect of cell organization on the induced TMP and the effective conductivity by organizing cells into simple-cubic, body-centered cubic, and face-centered infinite cubic lattices. We analyzed the general relation between the local quantities (electric field and the induced TMP) and the effective properties such as effective conductivity. We demonstrated that the effective conductivity mainly depends on cell volume fraction, while the induced TMP is affected by cell volume fraction as well as cell ordering. We show that in contrast to some reported results, the phenomenological effective medium theory (EMT) equations cannot be used to determine the local quantities (e.g., the induced TMP) in dense cell systems, whereas the effective properties (e.g., conductivity) can be readily analyzed with EMT equations. We further derive an analytical approximation for the induced TMP in dense cell system exposed to dc and ac electric fields, where dominant factors, which govern the local electric field and the induced TMP, are cell volume fraction and cell ordering. The presented theoretical analysis can be extended also to high frequencies or random distribution of cells.Index Terms-Dense cell system, effective conductivity, frequency domain, numerical methods, transmembrane potential (TMP).

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Transmembrane voltage induced on a cell membrane in suspensions exposed to an alternating field: A theoretical analysis

Cited by 21 publications

References 17 publications

Evaluation of the Electroporation Efficiency of a Grid Electrode for Electrochemotherapy

Evaluation of the Electroporation Efficiency of a Grid Electrode for Electrochemotherapy

Physical modelling of electroporation in close cell-to-cell proximity environments

The Effective Conductivity and the Induced Transmembrane Potential in Dense Cell System Exposed to DC and AC Electric Fields

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