Modelling nematode movement using time-fractional dynamics

Hapca, Simona; Crawford, John W; MacMillan, Keith; Wilson, Mike J; Young, Iain

doi:10.1016/j.jtbi.2007.05.002

Author(s)

Hapca, Simona

Crawford, John W

MacMillan, Keith

Wilson, Mike J

Young, Iain

Publication Date

2007

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.

Citation

Journal of Theoretical Biology, 248(1), p. 212-224

ISSN

1095-8541

0022-5193

Link

https://hdl.handle.net/1959.11/5625

Language

en

Publisher

Academic Press

Title

Modelling nematode movement using time-fractional dynamics

Type of document

Journal Article

Entity Type

Publication

Author(s)	Hapca, Simona Crawford, John W MacMillan, Keith Wilson, Mike J Young, Iain
Publication Date	2007
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.
Citation	Journal of Theoretical Biology, 248(1), p. 212-224
ISSN	1095-8541 0022-5193
Link	https://hdl.handle.net/1959.11/5625
Language	en
Publisher	Academic Press
Title	Modelling nematode movement using time-fractional dynamics
Type of document	Journal Article
Entity Type	Publication

Modelling nematode movement using time-fractional dynamics

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