Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Numerical scheme for kinetic transport equation with internal state *

Abstract : 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 internal state models the intracellular methylation level. It adds a variable in the mathematical model, which makes it more challenging to simulate numerically. Moreover, it has been shown that the macroscopic or mesoscopic quantities computed from this system converge to the Keller-Segel system at diffusive scaling or to the velocity-jump kinetic system for chemotaxis at hyperbolic scaling. Then we pay attention to propose numerical schemes uniformly accurate with respect to the scaling parameter. We show that these schemes converge to some limiting schemes which are consistent with the limiting macroscopic or kinetic system. This study is illustrated with some numerical simulations and comparisons with Monte Carlo simulations.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-02861713
Contributor : Nicolas Vauchelet <>
Submitted on : Tuesday, June 9, 2020 - 10:40:33 AM
Last modification on : Tuesday, October 20, 2020 - 3:56:19 PM

Files

Internal_num_Hal.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02861713, version 1
  • ARXIV : 2006.05710

Citation

Nicolas Vauchelet, Shugo Yasuda. Numerical scheme for kinetic transport equation with internal state *. 2020. ⟨hal-02861713⟩

Share

Metrics

Record views

23

Files downloads

24