256 citations · 550 across the 15 of their papers we have counts for
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q-bio.QM2021★ 9 cited
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…
math.NA2021★ 129 cited
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…