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math.NA2021
Hybrid FEM-NN models: Combining artificial neural networks with the finite element method
Sebastian K. Mitusch, Simon W. Funke, Miroslav Kuchta
We present a methodology combining neural networks with physical principle constraints in the form of partial differential equations (PDEs). The approach allows to train neural net…
math.NA2018
Can diffusion alone explain brain-wide distribution of a CSF tracer within 24 hours?
Lars Magnus Valnes, Sebastian K. Mitusch, Geir Ringstad +3
The recently proposed glymphatic system suggests that bulk flow is important for clearing waste from the brain, and as such may underlie the development of e.g. Alzheimer's disease…