17 citations · 19 across the 4 of their papers we have counts for
5 papers
Modeling and simulation of electrodiffusion in dense reconstructions of cerebral tissue
Halvor Herlyng, Marius Causemann, Gaute T. Einevoll +3
Excitable tissue is fundamental to brain function, yet its study is complicated by extreme morphological complexity and the physiological processes governing its dynamics. Conseque…
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…
Finite element simulation of ionicelectrodiffusion in cellular geometries
A. J. Ellingsrud, A. Solbrå, G. T. Einevoll +2
Mathematical models for excitable cells are commonly based on cable theory, which considers a homogenized domain and spatially constant ionic concentrations. Although such models p…
Abstractions and automated algorithms for mixed domain finite element methods
Cécile Daversin-Catty, Chris N. Richardson, Ada J. Ellingsrud +1
Mixed dimensional partial differential equations (PDEs) are equations coupling unknown fields defined over domains of differing topological dimension. Such equations naturally aris…