Cell scale modeling of electropermeabilization by periodic pulses
In this paper, we focus on the behaviour of periodic solutions to a cell-scale electropermeabilization model previously proposed by Kavian et al. [6]. Since clinical permeabilization protocols mostly submit cancer cells to trains of periodic pulses, we investigate on parameters that modify signif...
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| Format: | Article |
| Language: | English |
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AIMS Press
2014-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.537 |
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| _version_ | 1832590143831146496 |
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| author | Michael Leguèbe |
| author_facet | Michael Leguèbe |
| author_sort | Michael Leguèbe |
| collection | DOAJ |
| description | In this paper, we focus on the behaviour of periodic solutions to a cell-scale electropermeabilization model previously proposed by Kavian et al. [6]. Since clinical permeabilization protocols mostly submit cancer cells to trains of periodic pulses, we investigate on parameters that modify significantly the resulting permeabilization. Theoretical results of existence and uniqueness of periodic solutions are presented, for two different models of membrane electric conductivity. Numerical simulations were performed to corroborate these results and illustrate the asymptotic convergence to periodic solutions, as well as the dependency on biological parameters such as the cell size and the extracellular conductivity. |
| format | Article |
| id | doaj-art-b99e8e6748724a4ca663eb6955c5e009 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-b99e8e6748724a4ca663eb6955c5e0092025-01-24T02:31:53ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-12-0112353755410.3934/mbe.2015.12.537Cell scale modeling of electropermeabilization by periodic pulsesMichael Leguèbe0Inria Bordeaux Sud-Ouest, 200, Rue de la Veille Tour, 33405 TalenceIn this paper, we focus on the behaviour of periodic solutions to a cell-scale electropermeabilization model previously proposed by Kavian et al. [6]. Since clinical permeabilization protocols mostly submit cancer cells to trains of periodic pulses, we investigate on parameters that modify significantly the resulting permeabilization. Theoretical results of existence and uniqueness of periodic solutions are presented, for two different models of membrane electric conductivity. Numerical simulations were performed to corroborate these results and illustrate the asymptotic convergence to periodic solutions, as well as the dependency on biological parameters such as the cell size and the extracellular conductivity.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.537non-linear partial differential equations.electropermeabilizationcell modeling |
| spellingShingle | Michael Leguèbe Cell scale modeling of electropermeabilization by periodic pulses Mathematical Biosciences and Engineering non-linear partial differential equations. electropermeabilization cell modeling |
| title | Cell scale modeling of electropermeabilization by periodic pulses |
| title_full | Cell scale modeling of electropermeabilization by periodic pulses |
| title_fullStr | Cell scale modeling of electropermeabilization by periodic pulses |
| title_full_unstemmed | Cell scale modeling of electropermeabilization by periodic pulses |
| title_short | Cell scale modeling of electropermeabilization by periodic pulses |
| title_sort | cell scale modeling of electropermeabilization by periodic pulses |
| topic | non-linear partial differential equations. electropermeabilization cell modeling |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.537 |
| work_keys_str_mv | AT michaelleguebe cellscalemodelingofelectropermeabilizationbyperiodicpulses |