Cancer-on-Chip experiments reproduce complex biological environments to study the immune response to cancer and test the effect of therapies. Following a digital-twin approach, mathematical models reproducing Cancer-on-Chips dynamics have the potential to be able to produce in-silico different scenarios and to be largely economically convenient. However, a critical aspect in the employment of...
Traveling wave phenomena are central in many biological processes, including electrical activity in neural and cardiac tissues. Their simulation is challenging due to sharp, fast-moving wavefronts that demand high spatial and temporal resolution, resulting in high computational costs.
Brain electrophysiology at the tissue level is a key example: the transmembrane potential exhibits steep...
Irreversible electroporation (IRE) is a promising non-thermal ablation technique for cutaneous melanoma, where high-voltage, short-duration electric pulses induce permanent membrane permeabilisation and cell death. We present a coupled multiphysics framework integrating a thermo-poromechanical model of skin with a nonlinear electroporation model. The tissue response is described within the...
Tuberculosis (TB) remains a major global health challenge, with nearly 10 million new cases annually and increasing drug resistance.
As part of the ERA4TB initiative, which aims to advance new treatment regimens, multiple research institutes collaborated to develop and characterise in vitro granuloma-like structures (GLSs), aggregates of human PBMCs that exhibit key features of...
In this talk, we will present our work to predict the dynamics of cancer-on-chip experiments using data-informed differential models \cite{article_bbbtz}.
We will consider a complex one-dimensional network along which tumor and immune cells evolve in response to chemotactic signals. This model is managed by coupled partial differential equations and solved by a Hybridized Discontinuous...
Multiple sclerosis is a complex neurodegenerative disorder whose progression can be described through nonlinear mathematical models accounting for both inflammatory and degenerative processes.
In this work, we investigate the application of the Hybridized Discontinuous Galerkin (HDG) method to the numerical approximation of such models.
The HDG framework retains the flexibility of...
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 userโs preferred code, are...
The study of collective dynamics has attracted growing interest across multiple scientific fields due to its ability to describe self-organization and its broad range of applications. Many natural systems, including cell dynamics, display global patterns arising from local and nonlocal interactions. A distinctive feature of collective cell migration is its dependence not only on mechanical...
Mathematical models are a key tool for describing physiological processes across multiple scales (organs, tissues, cells, molecules). Within the framework of precision medicine, differential models and their numerical (i.e. in silico) realizations can tackle complex biological phenomena with the goal of improving the treatment of human diseases. As a core component of digital twins, in silico...
