Bonjour à tous,

Nous avons le plaisir de vous informer que le prochain séminaire AfriMath du groupe Analyse / Analyse numérique aura lieu le jeudi 02 juillet 2026 de 13h à 14h GMT.

Voici le lien de connexion à la salle zoom : https://univ-nantes-fr.zoom.us/launch/jc/88385652653

ID de réunion : 883 8565 2653

Nous pourrons écouter Audrey Gossard  (Laboratoire de Mathématique Jean Leray, Nantes, France) qui nous donnera un exposé sur

Titre: Parameter Estimation of Membrane Properties After Electroporation Using PDE-Based Impedance Modeling 

Résumé: 
Electrical pulses increase membrane permeability, but the immediate post-electroporation electrical behavior remains poorly understood. Bioimpedance spectroscopy is commonly used, for instance Garcia-Sanchez et al. proposed a fast impedance spectroscopy system for post-electroporation measurements.
Our objective is to investigate membrane behavior by simulating the full experimental setup with a partial differential equation (PDE) model, extending the 0-D circuit approach from Collin et al. to a more realistic spatial framework.
We describe the 3D geometry and its mesh, and introduce the PDE model together with its finite element approximation. Floating-potential boundary conditions are used to model the electrode interface, while the cell layer requires transmission conditions between the intracellular and extracellular domains.
Particular attention is paid to the numerical challenges of the problem. The thin geometry and spiral electrodes lead to difficult meshing, while mixed floating-potential and Neumann boundary conditions induce singularities in the potential gradient. Since impedance estimation relies on accurate computation of the electrode current flux, very fine mesh refinement would normally be required. To address these issues, we introduce an axisymmetric approximation of the full model together with an asymptotic approach based on the singular dual method. This reduced model enables efficient estimation of membrane parameters after the electrical pulse.


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