Speaker
Description
We present a framework for the simulation of Cancer-on-chip devices where independent software codes handling respectively the 2d chambers and the 1d channels are coupled by the approach proposed in \citations{bertoluzza2026abstract}. The 2D and 1D codes, that the coupling mechanism treats as black boxes and that can be therefore be individually replaced by the user’s preferred code, are presently both based on Hybridized Discontinuous Galerkin (HDG) discretizations \cite{bertoluzza2023hdg}. For the 2D chambers, an “in house” matlab code is used, while the 1D channels are handled using BioNetFlux, a python library for the simulation of biological fluxes in complex one-dimensional networks, that we developed in the framework of the “Digital Driven Diagnostics, prognostics and therapeutics for sustainable Heath care (D34Health)”.
This work is realized with the support of the Italian Ministry of Research, under the complementary action NRRP “D34Health - Digital Driven Diagnostics, prognostics and therapeutics for sustainable Health care” (Grant #PNC0000001).
Bibliography
@misc{bertoluzza2026abstract,
title={An abstract framework for heterogeneous coupling: stability, approximation and preconditioning},
author={Silvia Bertoluzza and Erik Burman},
year={2026},
eprint={2312.11733},
archivePrefix={arXiv},
primaryClass={math.NA},
url={https://arxiv.org/abs/2312.11733},
}
@article{bertoluzza2023hdg,
title={A HDG Method for Elliptic Problems with Integral Boundary Condition: Theory and Applications: S. Bertoluzza et al.},
author={Bertoluzza, Silvia and Guidoboni, Giovanna and Hild, Romain and Prada, Daniele and Prud’homme, Christophe and Sacco, Riccardo and Sala, Lorenzo and Szopos, Marcela},
journal={Journal of Scientific Computing},
volume={95},
number={1},
pages={6},
year={2023},
publisher={Springer}
}
