4 papers · 1 filter
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…
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…
Homogenization of an indefinite spectral problem arising in population genetics
Srinivasan Aiyappan, Aditi Chattaraj, Irina Pettersson
We study an indefinite spectral problem for a second-order self-adjoint elliptic operator in an asymptotically thin cylinder. The operator coefficients and the spectral density fun…
Nonlinear multidomain model for nerve bundles with random structure
Irina Pettersson, Antonina Rybalko, Volodymyr Rybalko
We present a derivation of a multidomain model for the electric potential in bundles of randomly distributed axons with different radii. The FitzHugh-Nagumo dynamics is assumed on…