256 citations · 571 across the 29 of their papers we have counts for
5 papers · 1 filter
Robust approximation of generalized Biot-Brinkman problems
Q. Hong, J. Kraus, M. Kuchta +3
The generalized Biot-Brinkman equations describe the displacement, pressures and fluxes in an elastic medium permeated by multiple viscous fluid networks and can be used to study c…
Geometrically reduced modelling of pulsatile flow in perivascular networks
Cécile Daversin-Catty, Ingeborg G. Gjerde, Marie E. Rognes
Flow of cerebrospinal fluid in perivascular spaces is a key mechanism underlying brain transport and clearance. In this paper, we present a mathematical and numerical formalism for…
A posteriori error estimation and adaptivity for multiple-network poroelasticity
Emilie Eliseussen, Marie E. Rognes, Travis B. Thompson
The multiple-network poroelasticity (MPET) equations describe deformation and pressures in an elastic medium permeated by interacting fluid networks. In this paper, we (i) place th…
A scalable solver for a stochastic, hybrid cellular automaton model of personalized breast cancer therapy
Xiaoran Lai, Håkon A. Taskén, Torgeir Mo +4
Mathematical modeling and simulation is a promising approach to personalized cancer medicine. Yet, the complexity, heterogeneity and multi-scale nature of cancer pose significant c…
Accurate numerical simulation of electrodiffusion and water movement in brain tissue
Ada J. Ellingsrud, Nicolas Boullé, Patrick E. Farrell +1
Mathematical modelling of ionic electrodiffusion and water movement is emerging as a powerful avenue of investigation to provide new physiological insight into brain homeostasis. H…