Title
Analytical results on the Beauchemin model of lymphocyte migration.
Abstract
The Beauchemin model is a simple particle-based description of stochastic lymphocyte migration in tissue, which has been successfully applied to studying immunological questions. In addition to being easy to implement, the model is also to a large extent mathematically tractable. This article provides a comprehensive overview of both existing and new analytical results on the Beauchemin model within a common mathematical framework. Specifically, we derive the motility coefficient, the mean square displacement, and the confinement ratio, and discuss four different methods for simulating biased migration of pre-defined speed. The results provide new insight into published studies and a reference point for future research based on this simple and popular lymphocyte migration model.
Year
DOI
Venue
2013
10.1186/1471-2105-14-S6-S10
BMC Bioinformatics
Keywords
Field
DocType
microarrays,chemotaxis,algorithms,bioinformatics
Cell movement,Computer science,Random walk,Bioinformatics
Journal
Volume
Issue
ISSN
14 Suppl 6
S-6
1471-2105
Citations 
PageRank 
References 
6
0.35
0
Authors
3
Name
Order
Citations
PageRank
Johannes Textor1729.97
Mathieu Sinn25510.41
Rob J de Boer34712.37