Phase-field model of bilipid membrane electroporation - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Biology Année : 2023

Phase-field model of bilipid membrane electroporation

Résumé

This paper proposes a new model of membrane electropermeabilisation that combines the water content of the membrane and the transmembrane voltage. Interestingly, thanks to a well defined free-energy of the membrane, we somehow generalise the seminal approach of Chizmadzhev, Weaver and Krassowska, getting rid of the geometrical cylindrical assumption upon which most of the current electroporation models are based. Our approach is physically relevant and we recover a surface diffusion equation of the lipid phase proposed by Leguèbe et al. in a previous phenomenological model. We also perform a fine analysis of the involved nonlocal operators in two simple configurations (a spherical membrane and a flat periodic membrane) that enables us to compare the time constants of the phenomenon in spherical and flat membranes. An accurate splitting scheme combined with Fast Fourier Transforms is developed for efficient computations of the model. Our numerical results enable us to make a link between the molecular dynamics simulations of membrane permeabilisation and the experimental observations on vesicles and cells.
Fichier principal
Vignette du fichier
EPModel_Revised_Bk.pdf (3.72 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04145549 , version 1 (29-06-2023)

Licence

Paternité

Identifiants

Citer

Pedro Jaramillo-Aguayo, Annabelle Collin, Clair Poignard. Phase-field model of bilipid membrane electroporation. Journal of Mathematical Biology, 2023, 87 (18), ⟨10.1007/s00285-023-01956-y⟩. ⟨hal-04145549⟩
28 Consultations
57 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More