28 citations · 33 across the 11 of their papers we have counts for
12 papers
Speed and stability of segregated waves in a pressure-based model of heterogeneous cell populations
Carles Falcó, Rebecca M. Crossley, Martina Conte +1
We consider a minimal pressure-based model of heterogeneous cell populations consisting of proliferative and non-proliferative cells with different mobilities. The model is formula…
Hydrodynamic theories of chemotaxis-driven invasion in proliferating cell populations
Giulia L. Celora, Martina Conte
Biased migration up chemical gradients and proliferation are fundamental drivers of collective invasion in several biological processes ranging from embryonic morphogenesis to canc…
Randomness-aware multiscale models of glioma invasion and treatment
Martina Conte, Sandesh Athni Hiremath, Sandesh Hiremath +1
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…
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…
Kinetic and macroscopic equations for action potential in neural networks
Martina Conte, Maria Groppi, Andrea Tosin
Starting from the concept of binary interactions between pairs of particles, a kinetic framework for the description of the action potential dynamics on a neural network is propose…
A non-local kinetic model for cell migration: a study of the interplay between contact guidance and steric hindrance
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 polari…
A stochastic hierarchical model for low grade glioma evolution
Evelyn Buckwar, Martina Conte, Amira Meddah
A stochastic hierarchical model for the evolution of low grade gliomas is proposed. Starting with the description of cell motion using piecewise diffusion Markov processes (PDifMPs…
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…
Mathematical modeling of glioma invasion: acid- and vasculature mediated go-or-grow dichotomy and the influence of tissue anisotropy
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 vascula…
Multi-cue kinetic model with non-local sensing for cell migration on a fibers network with chemotaxis
N. Loy, M. Conte
Cells perform directed motion in response to external stimuli that they detect by sensing the environment with their membrane protrusions. In particular, several biochemical and bi…