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Please use this identifier to cite or link to this item: http://hdl.handle.net/10373/202

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Title: Modelling nematode movement using time-fractional dynamics
Authors: Hapca, Simona M.
Crawford, John W.
MacMillan, Keith
Wilson, Mike J.
Young, Iain M.
Affiliation: University of Abertay Dundee. Scottish Informatics, Mathematics, Biology and Statistics Centre
Keywords: Correlated random walk
Stochastic process with memory
Conditional probability
Mean square displacement
Issue Date: 7-Sep-2007
Publisher: Elsevier Science B.V., Amsterdam
Type: Journal Article
Refereed: peer-reviewed
Rights: Published version (c)Elsevier Science B.V., Amsterdam, available from DOI: 10.1016/j.jtbi.2007.05.002
Citation: Hapca, S., et al. 2007. Modelling nematode movement using time-fractional dynamics. Journal of Theoretical Biology. 248(1): pp.212-224. [Online] Available from: DOI: 10.1016/j.jtbi.2007.05.002
Abstract: We use a correlated random walk model in two dimensions to simulate the movement of the slug parasitic nematode Phasmarhabditis hermaphrodita in homogeneous environments. The model incorporates the observed statistical distributions of turning angle and speed derived from time-lapse studies of individual nematode trails. We identify strong temporal correlations between the turning angles and speed that preclude the case of a simple random walk in which successive steps are independent. These correlated random walks are appropriately modelled using an anomalous diffusion model, more precisely using a fractional sub-diffusion model for which the associated stochastic process is characterised by strong memory effects in the probability density function.
URI: http://hdl.handle.net/10373/202
ISSN: 0022-5193
Appears in Collections:SIMBIOS Collection

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