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
ICJ - Institut Camille Jordan [Villeurbanne], Inria Grenoble - Rhône-Alpes, CGPhiMC - Centre de génétique et de physiologie moléculaire et cellulaire
2 MMCS - Modélisation mathématique, calcul scientifique
ICJ - Institut Camille Jordan [Villeurbanne]
Abstract : 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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00653394
Contributor : Erwan Hingant <>
Submitted on : Monday, December 19, 2011 - 2:33:19 PM
Last modification on : Monday, April 15, 2019 - 12:17:18 PM
Long-term archiving on : Tuesday, March 20, 2012 - 2:26:38 AM

Files

article.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00653394, version 1

Citation

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

Share

Metrics

Record views

527

Files downloads

139