Analytical results on the Beauchemin model of lymphocyte migration

BMC Bioinformatics

Proceedings

Mathieu Sinn¹  Rob J de Boer²  Johannes Textor³ 

[1] IBM Research, Mulhuddart, Dublin 15, Ireland;Theoretical Biology & Bioinformatics, Utrecht University, 3508 TC Utrecht, The Netherlands;Theoretical Biology & Bioinformatics, Utrecht University, 3508 TC Utrecht, The Netherlands;Institute for Theoretical Computer Science, University of Lübeck, 23562, Lübeck, Germany;

关键词: Random Walk;    Cell Track;    Convection Coefficient;    Lymphocyte Migration;    Functional Central Limit Theorem;   

DOI  :  10.1186/1471-2105-14-S6-S10

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY   
© Textor et al.; licensee BioMed Central Ltd. 2013