3 papers
math-ph2024
A Hamilton-Jacobi approach to nonlocal kinetic equations
Nadia Loy, Benoit Perthame
Highly concentrated patterns have been observed in a spatially heterogeneous, nonlocal, model of BGK type implementing a velocity-jump process. We study both a linear and a nonline…
math-ph2023
Kinetic models for systems of interacting agents with multiple microscopic states
Marzia Bisi, Nadia Loy
We propose and investigate general kinetic models %of Boltzmann type with transition probabilities that can describe the simultaneous change of multiple microscopic states of the i…
q-bio.CB2022
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…