68 citations · 276 across the 18 of their papers we have counts for
7 papers · 1 filter
Multiscale analysis of a kinetic equation for mechanotaxis
Benoît Perthame, Francesco Salvarani, Shugo Yasuda
We present a new kinetic equation for cell migration driven by mechanical interactions with the substrate, an effect not previously captured in kinetic models, and essential for ex…
Numerical study of the volcano e ect in chemotactic aggregation based on a kinetic transport equation with non-instantaneous tumbling
Shugo Yasuda
Aggregation of chemotactic bacteria under a unimodal distribution of chemical cues was investigated by Monte Carlo (MC) simulation based on a kinetic transport equation, which cons…
Effects of internal dynamics on chemotactic aggregation of bacteria
Shugo Yasuda
The effects of internal adaptation dynamics on the self-organized aggregation of chemotactic bacteria are investigated by Monte Carlo (MC) simulations based on a two-stream kinetic…
Numerical scheme for kinetic transport equation with internal state *
Nicolas Vauchelet, Shugo Yasuda
We investigate the numerical discretization of a two-stream kinetic system with an internal state, such system has been introduced to model the motion of cells by chemotaxis. This…
Multiple asymptotics of Kinetic Equations with Internal States
Benoit Perthame, Weiran Sun, Min Tang +1
The run and tumble process is well established in order to describe the movement of bacteria in response to a chemical stimulus. However the relation between the tumbling rate and…
Traveling Wave and Aggregation in a Flux-Limited Keller-Segel Model
Vincent Calvez, Benoît Perthame, Shugo Yasuda
Flux-limited Keller-Segel (FLKS) model has been recently derived from kinetic transport models for bacterial chemotaxis and shown to represent better the collective movement observ…