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-dimensional, 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.
%0 Journal Article
%1 Donovan2012Tcell
%A Donovan, Graham M.
%A Lythe, Grant
%D 2012
%J Journal of Theoretical Biology
%K brownian\_motion, cells, spatial-networks biological-networks diffusion
%P 59--67
%R 10.1016/j.jtbi.2011.11.001
%T T-cell movement on the reticular network
%U http://dx.doi.org/10.1016/j.jtbi.2011.11.001
%V 295
%X 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-dimensional, 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.
@article{Donovan2012Tcell,
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-dimensional, 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.}},
added-at = {2019-06-10T14:53:09.000+0200},
author = {Donovan, Graham M. and Lythe, Grant},
biburl = {https://www.bibsonomy.org/bibtex/23e79e164c4a533a66f3e62c3866fc45f/nonancourt},
citeulike-article-id = {10036355},
citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.jtbi.2011.11.001},
doi = {10.1016/j.jtbi.2011.11.001},
interhash = {1c256fa70c980c3b1370b84e2ab225e2},
intrahash = {3e79e164c4a533a66f3e62c3866fc45f},
issn = {00225193},
journal = {Journal of Theoretical Biology},
keywords = {brownian\_motion, cells, spatial-networks biological-networks diffusion},
month = feb,
pages = {59--67},
posted-at = {2013-11-27 10:19:45},
priority = {2},
timestamp = {2019-08-01T16:17:27.000+0200},
title = {{T-cell movement on the reticular network}},
url = {http://dx.doi.org/10.1016/j.jtbi.2011.11.001},
volume = 295,
year = 2012
}