Donovan, GM and Lythe, GD (2012) T-cell movement on the reticular network. Journal of Theoretical Biology, 295. pp. 59-67. ISSN 0022-5193
Abstract
The idea that the apparently random motion of T cells in lymph nodes is a result of movement on a reticular network (RN) has received support from dynamic imaging experiments and theoretical studies. We present a mathematical representation of the RN consisting of edges connecting vertices that are randomly distributed in three-dimensional space, and models of lymphocyte movement on such networks including constant speed motion along edges and Brownian motion, not in three-dimensions, but only along edges. The simplest model, in which a cell moves with a constant speed along edges, is consistent with mean-squared displacement proportional to time over intervals long enough to include several changes of direction. A non-random distribution of turning angles is one consequence of motion on a preformed network. Confining cell movement to a network does not, in itself, increase the frequency of cell–cell encounters.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | FRC network; Stromal network; Random walk; Brownian motion; in vivo Imaging |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 25 Aug 2016 14:15 |
Last Modified: | 08 Nov 2016 18:08 |
Published Version: | http://dx.doi.org/10.1016/j.jtbi.2011.11.001 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jtbi.2011.11.001 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:88682 |