A numerical scheme for rod-like polymers with fragmentation and monomers lengthening

Erwan Hingant (1, 2)

1 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
2 MMCS - Modélisation mathématique, calcul scientifique

In this paper, we introduce a new numerical method to solve a Fokker-Planck-Smolukowsky equation arising in the simulation of dilute polymeric liquids. The very recent model, considered here and introduced in a former paper, deals with rod-like polymers with fragmentation and monomers lengthening arising in biology. We formulate a spectral decomposition leading to a set of lengthening-fragmentation equations. The resulting system is solved by integration along the characteristic curves.

Domaines: Analyse numérique [math.NA]

Erwan Hingant. A numerical scheme for rod-like polymers with fragmentation and monomers lengthening. 2011. ⟨hal-00653394⟩