activity
20092025
most citedAutomated derivation of the adjoint of high-level transient finite element programs

256 citations · 571 across the 29 of their papers we have counts for

collaborators

35 papers

physics.med-ph2025

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…

q-bio.QM2024★ 1 cited

Spatial modeling algorithms for reactions and transport (SMART) in biological cells

Emmet A. Francis, Justin G. Laughlin, Jørgen S. Dokken +4

Biological cells rely on precise spatiotemporal coordination of biochemical reactions to control their many functions. Such cell signaling networks have been a common focus for mat…

math.NA2024★ 2 cited

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…

math.AP2023

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…

physics.flu-dyn2023

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…

math.NA2023★ 3 cited

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…