3 papers
math.AP2025
Strongly nonlinear age structured equation,time-elapsed model and large delays
Benoît Perthame, Delphine Salort, Clément Rieutord
The time-elapsed model for neural networks is a nonlinear age structured equationwhere the renewal term describes the network activity and influences the dischargerate, possibly wi…
q-bio.TO2024
A model for membrane degradation using a gelatin invadopodia assay
Giorgia Ciavolella, Nathalie Ferrand, Michèle Sabbah +2
One of the most crucial and lethal characteristics of solid tumors is represented by the increased ability of cancer cells to migrate and invade other organs during the so-called m…
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…