%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 }