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math.AP2026
Long-time behavior of a nonlocal and non-monotone SPDE-ODE system arising in electrophysiology
Tobias Gebäck, Oleksandr Misiats, Ioanna Motschan Ulander +1
This paper concerns a coupled semilinear SPDE-ODE system modelling the electropermeabilization phenomenon, which designates a transient increase in cell membrane permeability induc…
math.AP2026
Derivation of nonlinear time-dependent macroscopic conductivity for an electropermeabilization model via homogenization
Tobias Gebäck, Ioanna Motschan-Armen, Irina Pettersson
We study a phenomenological electropermeabilization model in a periodic medium representing biological tissue. Starting from a cell-level model describing the electric potential an…