17 citations · 23 across the 8 of their papers we have counts for
6 papers · 1 filter
Directional flow in perivascular networks: Mixed finite elements for reduced-dimensional models on graphs
Ingeborg G. Gjerde, Miroslav Kuchta, Marie E. Rognes +1
The flow of cerebrospinal fluid through the perivascular spaces of the brain is believed to play a crucial role in eliminating toxic waste proteins. While the driving forces of thi…
The directional flow generated by peristalsis in perivascular networks -- theoretical and numerical reduced-order descriptions
Ingeborg G. Gjerde, Marie E. Rognes, Antonio L. Sanchez
Directional fluid flow in perivascular spaces surrounding cerebral arteries is hypothesized to play a key role in brain solute transport and clearance. While various drivers for pu…
Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy
Pietro Benedusi, Paola Ferrari, Marie Rognes +1
In this work, we are interested in solving large linear systems stemming from the Extra-Membrane-Intra (EMI) model, which is employed for simulating excitable tissues at a cellular…
Cut finite element discretizations of cell-by-cell EMI electrophysiology models
Nanna Berre, Marie E. Rognes, Andre Massing
The EMI (Extracellular-Membrane-Intracellular) model describes electrical activity in excitable tissue, where the extracellular and intracellular spaces and cellular membrane are e…
SMART: Spatial Modeling Algorithms for Reaction and Transport
Justin G. Laughlin, Jørgen S. Dokken, Henrik N. T. Finsberg +4
Recent advances in microscopy and 3D reconstruction methods have allowed for characterization of cellular morphology in unprecedented detail, including the irregular geometries of…
The modelling error in multi-dimensional time-dependent solute transport models
Rami Masri, Marius Zeinhofer, Miroslav Kuchta +1
Starting from full-dimensional models of solute transport, we derive and analyze multi-dimensional models of time-dependent convection, diffusion, and exchange in and around pulsat…