Evaluation of the current in the cell membrane for numerical simulations of electroporation
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFMG |
Texto Completo: | https://doi.org/10.1590/2179-10742022v21i11167 http://hdl.handle.net/1843/62015 http://orcid.org/0000-0002-7114-1527 http://orcid.org/0000-0002-8311-8981 |
Resumo: | This study presents a rigorous numerical analysis of the current in the cell membrane, subjected to a uniform electric field, and its impact in the pore formation. The numerical model considers a single cell composed of uniform membrane and cytoplasm, in a suspension medium. The current in the cell membrane is calculated using two different approaches. The first uses a lumped parameters approach based on the geometry of the pore, while the second describes the flow of ions through the pore considering the interaction with the pore walls as an energy barrier. The formation and growth of the pores is solved using an asymptotic approximation of the Smoluchowski’s equation. The electrical potential induced in the cell membrane, which is coupled with the current in the membrane, is resolved in spherical coordinates using the finite difference method. The two approaches have qualitatively similar results but significant quantitative differences in the number and radii of pores. The ionic flow approach has resulted in the formation of fewer pores and reduced pore growth. Approximately 38,000 fewer pores are created, a 21% difference, and the largest pores are approximately 8nm smaller, a 24% difference. Thus, this approach results in a less conductive membrane and smaller electroporated area. |
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2023-12-14T20:37:35Z2023-12-14T20:37:35Z20222116182https://doi.org/10.1590/2179-10742022v21i111672179-1074http://hdl.handle.net/1843/62015http://orcid.org/0000-0002-7114-1527http://orcid.org/0000-0002-8311-8981This study presents a rigorous numerical analysis of the current in the cell membrane, subjected to a uniform electric field, and its impact in the pore formation. The numerical model considers a single cell composed of uniform membrane and cytoplasm, in a suspension medium. The current in the cell membrane is calculated using two different approaches. The first uses a lumped parameters approach based on the geometry of the pore, while the second describes the flow of ions through the pore considering the interaction with the pore walls as an energy barrier. The formation and growth of the pores is solved using an asymptotic approximation of the Smoluchowski’s equation. The electrical potential induced in the cell membrane, which is coupled with the current in the membrane, is resolved in spherical coordinates using the finite difference method. The two approaches have qualitatively similar results but significant quantitative differences in the number and radii of pores. The ionic flow approach has resulted in the formation of fewer pores and reduced pore growth. Approximately 38,000 fewer pores are created, a 21% difference, and the largest pores are approximately 8nm smaller, a 24% difference. Thus, this approach results in a less conductive membrane and smaller electroporated area.Este estudo apresenta uma análise numérica rigorosa da corrente na membrana celular, submetida a um campo elétrico uniforme, e seu impacto na formação de poros. O modelo numérico considera uma única célula composta por membrana e citoplasma uniformes, em meio de suspensão. A corrente na membrana celular é calculada usando duas abordagens diferentes. O primeiro utiliza uma abordagem de parâmetros concentrados baseada na geometria do poro, enquanto o segundo descreve o fluxo de íons através do poro considerando a interação com as paredes do poro como uma barreira energética. A formação e o crescimento dos poros são resolvidos utilizando uma aproximação assintótica da equação de Smoluchowski. O potencial elétrico induzido na membrana celular, que é acoplado à corrente na membrana, é resolvido em coordenadas esféricas usando o método das diferenças finitas. As duas abordagens apresentam resultados qualitativamente semelhantes, mas diferenças quantitativas significativas no número e nos raios dos poros. A abordagem do fluxo iônico resultou na formação de menos poros e na redução do crescimento de poros. Aproximadamente 38.000 poros a menos são criados, uma diferença de 21%, e os poros maiores são aproximadamente 8 nm menores, uma diferença de 24%. Assim, esta abordagem resulta em uma membrana menos condutora e menor área eletroporada.CNPq - Conselho Nacional de Desenvolvimento Científico e TecnológicoCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível SuperiorengUniversidade Federal de Minas GeraisUFMGBrasilENG - DEPARTAMENTO DE ENGENHARIA ELÉTRICAJournal of Microwaves, Optoelectronics and Electromagnetic ApplicationsMembrana celularFenômenos eletromagnéticosEletroporaçãoBiological cellElectromagneticsFinite Difference MethodsNumerical simulationEvaluation of the current in the cell membrane for numerical simulations of electroporationAvaliação da corrente na membrana celular para simulações numéricas de eletroporaçãoinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttps://www.scielo.br/j/jmoea/a/3ZRsCwsGZY6SWZRKf8X6yNp/abstract/?lang=en#João Francisco Cristeli do ValeJaime Arturo Ramírezapplication/pdfinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGLICENSELicense.txtLicense.txttext/plain; charset=utf-82042https://repositorio.ufmg.br/bitstream/1843/62015/1/License.txtfa505098d172de0bc8864fc1287ffe22MD51ORIGINALEvaluation of the current in the cell membrane for numerical simulations of electroporation.pdfEvaluation of the current in the cell membrane for numerical simulations of electroporation.pdfapplication/pdf1669972https://repositorio.ufmg.br/bitstream/1843/62015/2/Evaluation%20of%20the%20current%20in%20the%20cell%20membrane%20for%20numerical%20simulations%20of%20electroporation.pdf7d6215fac084fbd4bc40e7b8bb897327MD521843/620152023-12-14 17:37:36.034oai:repositorio.ufmg.br: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Repositório de PublicaçõesPUBhttps://repositorio.ufmg.br/oaiopendoar:2023-12-14T20:37:36Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)false |
dc.title.pt_BR.fl_str_mv |
Evaluation of the current in the cell membrane for numerical simulations of electroporation |
dc.title.alternative.pt_BR.fl_str_mv |
Avaliação da corrente na membrana celular para simulações numéricas de eletroporação |
title |
Evaluation of the current in the cell membrane for numerical simulations of electroporation |
spellingShingle |
Evaluation of the current in the cell membrane for numerical simulations of electroporation João Francisco Cristeli do Vale Biological cell Electromagnetics Finite Difference Methods Numerical simulation Membrana celular Fenômenos eletromagnéticos Eletroporação |
title_short |
Evaluation of the current in the cell membrane for numerical simulations of electroporation |
title_full |
Evaluation of the current in the cell membrane for numerical simulations of electroporation |
title_fullStr |
Evaluation of the current in the cell membrane for numerical simulations of electroporation |
title_full_unstemmed |
Evaluation of the current in the cell membrane for numerical simulations of electroporation |
title_sort |
Evaluation of the current in the cell membrane for numerical simulations of electroporation |
author |
João Francisco Cristeli do Vale |
author_facet |
João Francisco Cristeli do Vale Jaime Arturo Ramírez |
author_role |
author |
author2 |
Jaime Arturo Ramírez |
author2_role |
author |
dc.contributor.author.fl_str_mv |
João Francisco Cristeli do Vale Jaime Arturo Ramírez |
dc.subject.por.fl_str_mv |
Biological cell Electromagnetics Finite Difference Methods Numerical simulation |
topic |
Biological cell Electromagnetics Finite Difference Methods Numerical simulation Membrana celular Fenômenos eletromagnéticos Eletroporação |
dc.subject.other.pt_BR.fl_str_mv |
Membrana celular Fenômenos eletromagnéticos Eletroporação |
description |
This study presents a rigorous numerical analysis of the current in the cell membrane, subjected to a uniform electric field, and its impact in the pore formation. The numerical model considers a single cell composed of uniform membrane and cytoplasm, in a suspension medium. The current in the cell membrane is calculated using two different approaches. The first uses a lumped parameters approach based on the geometry of the pore, while the second describes the flow of ions through the pore considering the interaction with the pore walls as an energy barrier. The formation and growth of the pores is solved using an asymptotic approximation of the Smoluchowski’s equation. The electrical potential induced in the cell membrane, which is coupled with the current in the membrane, is resolved in spherical coordinates using the finite difference method. The two approaches have qualitatively similar results but significant quantitative differences in the number and radii of pores. The ionic flow approach has resulted in the formation of fewer pores and reduced pore growth. Approximately 38,000 fewer pores are created, a 21% difference, and the largest pores are approximately 8nm smaller, a 24% difference. Thus, this approach results in a less conductive membrane and smaller electroporated area. |
publishDate |
2022 |
dc.date.issued.fl_str_mv |
2022 |
dc.date.accessioned.fl_str_mv |
2023-12-14T20:37:35Z |
dc.date.available.fl_str_mv |
2023-12-14T20:37:35Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/1843/62015 |
dc.identifier.doi.pt_BR.fl_str_mv |
https://doi.org/10.1590/2179-10742022v21i11167 |
dc.identifier.issn.pt_BR.fl_str_mv |
2179-1074 |
dc.identifier.orcid.pt_BR.fl_str_mv |
http://orcid.org/0000-0002-7114-1527 http://orcid.org/0000-0002-8311-8981 |
url |
https://doi.org/10.1590/2179-10742022v21i11167 http://hdl.handle.net/1843/62015 http://orcid.org/0000-0002-7114-1527 http://orcid.org/0000-0002-8311-8981 |
identifier_str_mv |
2179-1074 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Journal of Microwaves, Optoelectronics and Electromagnetic Applications |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Federal de Minas Gerais |
dc.publisher.initials.fl_str_mv |
UFMG |
dc.publisher.country.fl_str_mv |
Brasil |
dc.publisher.department.fl_str_mv |
ENG - DEPARTAMENTO DE ENGENHARIA ELÉTRICA |
publisher.none.fl_str_mv |
Universidade Federal de Minas Gerais |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFMG instname:Universidade Federal de Minas Gerais (UFMG) instacron:UFMG |
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UFMG |
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