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.
authors.affiliation: Theoretical Biology & Bioinformatics, Utrecht University, Utrecht, The Netherlands. johannes.textor@gmx.de
authors.forename: Johannes
authors.initials: J
authors.lastname: Textor
authors.forename: Mathieu
authors.initials: M
authors.lastname: Sinn
authors.forename: Rob J
authors.initials: RJ
authors.lastname: de Boer
mesh_terms: D000818:Animals; D002465:Cell Movement; D002633:Chemotaxis; D008214:Lymphocytes / Q000166:cytology*; D008954:Models, Biological