A biased random walk model for the trajectories of swimming micro-organisms. Export

@article{1997Hill, abstract = {The motion of swimming micro-organisms that have a preferred direction of travel, such as single-celled algae moving upwards (gravitaxis) or towards a light source (phototaxis), is modelled as the continuous limit of a correlated and biased random walk as the time step tends to zero. This model leads to a Fokker-Planck equation for the probability distribution function of the orientation of the cells, from which macroscopic parameters such as the mean cell swimming direction and the diffusion coefficient due to cell swimming can be calculated. The model is tested on experimental data for gravitaxis and phototaxis and used to derive values for the macroscopic parameters for future use in theories of bioconvection, for example.}, address = {Department of Applied Mathematical Studies, University of Leeds, England.}, author = {Hill, N. A. and Hader, D. P.}, citeulike-article-id = {463845}, citeulike-linkout-0 = {http://view.ncbi.nlm.nih.gov/pubmed/11536821}, citeulike-linkout-1 = {http://www.hubmed.org/display.cgi?uids=11536821}, day = {21}, issn = {0022-5193}, journal = {J Theor Biol}, keywords = {biased, random, refs\_ox, walk}, month = {June}, number = {4}, pages = {503--526}, posted-at = {2006-01-13 03:48:34}, priority = {2}, title = {A biased random walk model for the trajectories of swimming micro-organisms.}, url = {http://view.ncbi.nlm.nih.gov/pubmed/11536821}, volume = {186}, year = {1997} }

TY - JOUR ID - 1997Hill L3 - citeulike-article-id:463845 N2 - The motion of swimming micro-organisms that have a preferred direction of travel, such as single-celled algae moving upwards (gravitaxis) or towards a light source (phototaxis), is modelled as the continuous limit of a correlated and biased random walk as the time step tends to zero. This model leads to a Fokker-Planck equation for the probability distribution function of the orientation of the cells, from which macroscopic parameters such as the mean cell swimming direction and the diffusion coefficient due to cell swimming can be calculated. The model is tested on experimental data for gravitaxis and phototaxis and used to derive values for the macroscopic parameters for future use in theories of bioconvection, for example. IS - 4 JF - J Theor Biol SN - 0022-5193 AD - Department of Applied Mathematical Studies, University of Leeds, England. EP - 526 TI - A biased random walk model for the trajectories of swimming micro-organisms. VL - 186 SP - 503 KW - biased KW - random KW - refs_ox KW - walk AU - Hill, NA AU - Hader, DP PY - 1997/06/21/ UR - http://view.ncbi.nlm.nih.gov/pubmed/11536821 ER -