Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/5625
Title: Modelling nematode movement using time-fractional dynamics
Contributor(s): Hapca, Simona (author); Crawford, John W (author); MacMillan, Keith (author); Wilson, Mike J (author); Young, Iain  (author)
Publication Date: 2007
DOI: 10.1016/j.jtbi.2007.05.002
Handle Link: https://hdl.handle.net/1959.11/5625
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.
Publication Type: Journal Article
Source of Publication: Journal of Theoretical Biology, 248(1), p. 212-224
Publisher: Academic Press
Place of Publication: United Kingdom
ISSN: 1095-8541
0022-5193
Field of Research (FOR): 050305 Soil Physics
060208 Terrestrial Ecology
050399 Soil Sciences not elsewhere classified
050303 Soil Biology
Socio-Economic Outcome Codes: 961402 Farmland, Arable Cropland and Permanent Cropland Soils
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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