no code implementations • 25 Apr 2024 • Giulia Chiari, Martina Conte, Marcello Delitala
In this paper, we propose a novel multi-scale mathematical model to analyze the pivotal role of Snail protein expression in the cellular responses to hypoxia.
no code implementations • 5 Jul 2022 • Martina Conte, Nadia Loy
We propose a non-local model for contact guidance and steric hindrance depending on a single external cue, namely the extracellular matrix, that affects in a twofold way the polarization and speed of motion of the cells.
no code implementations • 20 Jun 2022 • Evelyn Buckwar, Martina Conte, Amira Meddah
The main aim focuses on understanding how the variations of the jump rate function of this process at the microscopic scale and the diffusion coefficient at the macroscopic scale are related to the diffusive behaviour of the glioma cells and to the onset of malignancy, i. e., the transition from low-grade to high-grade gliomas.
no code implementations • 22 Mar 2022 • Martina Conte, Yvonne Dzierma, Sven Knobe, Christina Surulescu
A multiscale model for glioma spread in brain tissue under the influence of vascularization and vascular endothelial growth factors is proposed.
no code implementations • 23 Jul 2020 • Martina Conte, Christina Surulescu
Starting from kinetic transport equations and subcellular dynamics we deduce a multiscale model for glioma invasion relying on the go-or-grow dichotomy and the influence of vasculature, acidity, and brain tissue anisotropy.
