Numerical Simulations of Kinetic Models for chemotaxis

Francis Filbet (1, 2) , Chang Yang (3)

1 KALiFFE - Kinetic models AppLIed for Future of Fusion Energy
2 MMCS - Modélisation mathématique, calcul scientifique
3 ICJ - Institut Camille Jordan

We present a new algorithm based on a Cartesian mesh for the numerical approximation of kinetic models for chemosensitive movements set in an arbitrary geometry. We investigate the influence of the geometry on the collective behavior of bacteria described by a kinetic equation interacting with nutrients and chemoattractants. Numerical simulations are performed to verify accuracy and stability of the scheme and its ability to exhibit aggregation of cells and wave propagations. Finally some comparisons with experiments show the robustness and accuracy of such kinetic models.

Domaines: Analyse numérique [math.NA]

Francis Filbet, Chang Yang. Numerical Simulations of Kinetic Models for chemotaxis. SIAM Journal on Scientific Computing, 2014, 36 (3), pp.B348-B366. ⟨hal-00798822⟩