5 papers
Mathematical modeling of glioma invasion and therapy approaches via kinetic theory of active particles
Martina Conte, Yvonne Dzierma, Sven Knobe +1
We propose here a multiscale model for study the effect of combined therapies on glioma spread in the brain under the influence of vascularization. The model accounts for the inter…
A kinetic derivation of spatial distributed models for tumor-immune system interactions
Martina Conte, Romina Travaglini
We propose a mathematical kinetic framework to investigate interactions between tumor cells and the immune system, focusing on the spatial dynamics of tumor progression and immune…
Multi-scale modeling of Snail-mediated response to hypoxia in tumor progression
Giulia Chiari, Martina Conte, Marcello Delitala
Tumor cell migration within the microenvironment is a crucial aspect for cancer progression and, in this context, hypoxia has a significant role. An inadequate oxygen supply acts a…
Randomness-aware multiscale models of glioma invasion and treatment
Martina Conte, Sandesh Hiremath, Christina Surulescu
In this work, we develop a stochastic multiscale model for glioma growth and invasion in the brain, incorporating the effects of therapeutic interventions. The model accounts for t…
A novel linear transport model with distinct scattering mechanisms for direction and speed
Martina Conte, Nadia Loy
We introduce a novel linear transport equation that models the evolution of a one-particle distribution subject to free transport and two distinct scattering mechanisms: one affect…