Journal Article

Multistep navigation of leukocytes: a stochastic model with memory effects

Dietmar Oelz, Christian Schmeiser and Alexander Soreff

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 22, issue 4, pages 291-303
Published in print December 2005 | ISSN: 1477-8599
Published online December 2005 | e-ISSN: 1477-8602 | DOI: http://dx.doi.org/10.1093/imammb/dqi009
Multistep navigation of leukocytes: a stochastic model with memory effects

More Like This

Show all results sharing these subjects:

  • Applied Mathematics
  • Biomathematics and Statistics

GO

Show Summary Details

Preview

We present a model for the chemotactically directed migration of neutrophil leukocytes. It reproduces the multistep navigation by memory effects investigated experimentally by E. F. Foxman, J. J. Campbell and E. C. Butcher in 1997. The model consists of a system of stochastic differential equations. The long time behaviour of the corresponding deterministic system is analysed and two approaches for the numerical solution of the full stochastic system are compared. One of them consists in performing direct simulations, the other one is based on a moment approximation of the Fokker–Planck equation and numerical methods for convection-dominated partial differential equations.

Keywords: chemotaxis; leukocytes

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

Full text: subscription required

How to subscribe Recommend to my Librarian

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.