Mathematical Biosciences and Engineering, 2015, 12(3): 537-554. doi: 10.3934/mbe.2015.12.537.

Primary: 35Q92, 35Q60; Secondary: 92B05, 92C05.

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Cell scale modeling of electropermeabilization by periodic pulses

1. Inria Bordeaux Sud-Ouest, 200, Rue de la Veille Tour, 33405 Talence

   

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.
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Keywords non-linear partial differential equations.; electropermeabilization; Cell modeling

Citation: Michael Leguèbe. Cell scale modeling of electropermeabilization by periodic pulses. Mathematical Biosciences and Engineering, 2015, 12(3): 537-554. doi: 10.3934/mbe.2015.12.537

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Copyright Info: 2015, Michael Leguèbe, licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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