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Cell scale modeling of electropermeabilization by periodic pulses.

Michael Leguebe 1, 2
2 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
Abstract : In this paper, we focus on the behaviour of periodic solutions to a cell- scale electropermeabilization model previously proposed by Kavian et al. (JMB,2012). 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.
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https://hal.inria.fr/hal-01005514
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Submitted on : Thursday, June 12, 2014 - 5:29:08 PM
Last modification on : Thursday, February 11, 2021 - 2:54:02 PM
Long-term archiving on: : Friday, September 12, 2014 - 11:41:24 AM

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Michael Leguebe. Cell scale modeling of electropermeabilization by periodic pulses.. [Research Report] RR-8545, INRIA. 2014. ⟨hal-01005514⟩

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