Journal
JOURNAL OF THEORETICAL BIOLOGY
Volume 267, Issue 4, Pages 526-534Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2010.09.022
Keywords
Ornstein-Uhlenbeck; Reorientation models; Speed distributions; Velocity models
Categories
Funding
- [CGL 2007-60797]
- [FIS 2009-13370-C02-01]
- [SGR 2009-00164]
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In this paper we study analytically the stick-slip models recently Introduced to explain the stochastic migration of free cells We show that persistent motion of cells of many different types is compatible with stochastic reorientation models which admit an analytical mesoscopic treatment This is proved by examining and discussing experimental data compiled from different sources in the literature and by fitting some of these results too We are able to explain many of the apparently complex migration patterns obtained recently from cell tracking data like power-law dependences in the mean square displacement or non-Gaussian behavior for the kurtosis and the velocity distributions which depart from the predictions of the classical Ornstein-Uhlenbeck process (C) 2010 Elsevier Ltd All rights reserved
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