An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis

no code implementations • 17 Nov 2022 • Stefano Berrone, Chiara Giverso, Denise Grappein, Luigi Preziosi, Stefano Scialò

A new mathematical model and numerical approach are proposed for the simulation of fluid and chemical exchanges between a growing capillary network and the surrounding tissue, in the context of tumor-induced angiogenesis.

3D-1D coupling on non conforming meshes via three-field optimization based domain decomposition

no code implementations • 12 Feb 2021 • Stefano Berrone, Denise Grappein, Stefano Scialo'

A new numerical approach is proposed for the simulation of coupled three-dimensional and one-dimensional elliptic equations (3D-1D coupling) arising from dimensionality reduction of 3D-3D problems with thin inclusions.

Dimensionality Reduction Numerical Analysis Numerical Analysis 65N30, 65N50, 68U20, 86-08