107 citations · 250 across the 39 of their papers we have counts for
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The cardiac bidomain model and homogenization
Erik Grandelius, Kenneth H. Karlsen
We provide a rather simple proof of a homogenization result for the bidomain model of cardiac electrophysiology. Departing from a microscopic cellular model, we apply the theory of…
Stochastically forced cardiac bidomain model
Mostafa Bendahmane, Kenneth H. Karlsen
The bidomain system of degenerate reaction-diffusion equations is a well-established spatial model of electrical activity in cardiac tissue, with "reaction" linked to the cellular…
Numerical methods for conservation laws with rough flux
Håkon Hoel, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro +1
Finite volume methods are proposed for computing approximate pathwise entropy/kinetic solutions to conservation laws with a rough path dependent flux function. For a convex flux, i…