Donovan, GrahamLythe, Gunknown2012-03-052012Journal of Theoretical Biology 295:59-67 20120022-5193https://hdl.handle.net/2292/12982The 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 encountersItems in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/0022-5193/https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htmJournal Article10.1016/j.jtbi.2011.11.001Copyright: Elsevier22100488http://purl.org/eprint/accessRights/RestrictedAccess