2 citations · 2 across the 2 of their papers we have counts for
3 papers
Dense cell-by-cell systems of PDEs: approximation, spectral analysis, and preconditioning
Pietro Benedusi, Paola Ferrari, Marius Causemann +1
In the present study, we consider the Extra-Membrane-Intra model (EMI) for the simulation of excitable tissues at the cellular level. We provide the (possibly large) system of part…
A splitting, discontinuous Galerkin solver for the cell-by-cell electroneutral Nernst-Planck framework
Ada J. Ellingsrud, Pietro Benedusi, Miroslav Kuchta
Mathematical models for excitable tissue with explicit representation of individual cells are highly detailed and can, unlike classical homogenized models, represent complex cellul…
Scalable approximation and solvers for ionic electrodiffusion in cellular geometries
Pietro Benedusi, Ada J. Ellingsrud, Halvor Herlyng +1
The activity and dynamics of excitable cells are fundamentally regulated and moderated by extracellular and intracellular ion concentrations and their electric potentials. The incr…