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A massively parallel non-overlapping Schwarz preconditioner for PolyDG methods in brain electrophysiology
Caterina B. Leimer Saglio, Stefano Pagani, Paola F. Antonietti
We investigate non-overlapping Schwarz preconditioners for the algebraic systems stemming from high-order discretizations of the coupled monodomain and Barreto-Cressman models, wit…
A novel mathematical and computational framework of amyloid-beta triggered seizure dynamics in Alzheimer's disease
Caterina B. Leimer Saglio, Mattia Corti, Stefano Pagani +1
The association of epileptic activity and Alzheimer's disease (AD) has been increasingly reported in both clinical and experimental studies, suggesting that amyloid- accumulatio…
Mathematical and numerical modeling of coupled oxygen dynamics and neuronal electrophysiology
Francesco Daniele, Caterina B. Leimer Saglio, Stefano Pagani +1
Modeling and simulating how oxygen supply shapes neuronal excitability is crucial for advancing the understanding of brain function in pathological scenarios, such as ischemia. Thi…
A p-adaptive polytopal discontinuous Galerkin method for high-order approximation of brain electrophysiology
Caterina Beatrice Leimer Saglio, Stefano Pagani, Paola F. Antonietti
Multiscale mathematical models have shown great promise in computational brain electrophysiology but are still hindered by high computational costs due to fast dynamics and complex…