ArticleBiophysical journal2000
Analytical description of transmembrane voltage induced by electric fields on spheroidal cells.
Article in Biophysical journal, 2000. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 66 papers.
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Who cites it
66 citing papers in PubMed.
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- Calculating transmembrane voltage on the electric pulse-affected cancerous cell membrane: using molecular dynamics and finite element simulations.Journal of molecular modeling · 2024Article
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- Influence of charges deposited on membranes of human hyperdirect pathway axons on depolarization during subthalamic deep brain stimulation.Journal of neural engineering · 2023Article
- Enhanced Drug Uptake on Application of Electroporation in a Single-Cell Model.The Journal of membrane biology · 2023Article
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- Fluorescence Imaging of Cell Membrane Potential: From Relative Changes to Absolute Values.International journal of molecular sciences · 2023Review
- Neuron matters: neuromodulation with electromagnetic stimulation must consider neurons as dynamic identities.Journal of neuroengineering and rehabilitation · 2022Review
- Recent Advances in Microscale Electroporation.Chemical reviews · 2022Review
- Effects of Ultra-Short Pulsed Electric Field Exposure on Glioblastoma Cells.International journal of molecular sciences · 2022Article
- Electrochemotherapy and Other Clinical Applications of Electroporation for the Targeted Therapy of Metastatic Melanoma.Materials (Basel, Switzerland) · 2021Review
- Electroporation as an Efficacy Potentiator for Antibiotics With Different Target Sites.Frontiers in microbiology · 2021Article
6 more citing papers are in PubMed but not listed here.
Corrections and comments
- Erratum issued
Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
An analytical description of transmembrane voltage induced on spherical cells was determined in the 1950s, and the tools for numerical assessment of transmembrane voltage induced on spheroidal cells were developed in the 1970s. However, it has often been claimed that an analytical description is unattainable for spheroidal cells, while others have asserted that even if attainable, it does not befit the reality due to the nonuniform membrane thickness, which is unrealistic but inevitable in spheroidal geometry. In this paper we show that for all spheroidal cells, membrane thickness is irrelevant to the induced transmembrane voltage under the assumption of a nonconductive membrane, which was also applied in the derivation of Schwan's equation. We then derive the analytical description of transmembrane voltage induced on prolate and oblate spheroidal cells. The final result, which we cast from spheroidal into more familiar spherical coordinates, represents a generalization of Schwan's equation to all spheroidal cells (of which spherical cells are a special case). The obtained expression is easy to apply, and we give a simple example of such application. We conclude the study by analyzing the variation of induced transmembrane voltage as a spheroidal cell is stretched by the field, performing one study at a constant membrane surface area, and another at a constant cell volume.
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