Juliann Opitz, Robert D. Allen, et al.
Microlithography 1998
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. © 2013 Textor et al.; licensee BioMed Central Ltd.
Juliann Opitz, Robert D. Allen, et al.
Microlithography 1998
Ronen Feldman, Martin Charles Golumbic
Ann. Math. Artif. Intell.
Corneliu Constantinescu
SPIE Optical Engineering + Applications 2009
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SPIE Photomask Technology + EUV Lithography 2011