Modelling nematode movement using time-fractional dynamics

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

Research output: Contribution to journalArticle

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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.
Original languageEnglish
Pages (from-to)212-224
Number of pages13
JournalJournal of Theoretical Biology
Volume248
Issue number1
DOIs
StatePublished - 7 Sep 2007

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Correlated random walk
Diffusion model
Fractional
Angle
Model
Anthralin
Subdiffusion
Simple random walk
Temporal correlation
Memory effect
Anomalous diffusion
Statistical distribution
Probability density function
Stochastic processes
Two dimensions
Modeling
Feline Sarcoma Viruses
Flupenthixol
Cholecystectomy
Statistical Distributions

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Hapca, S. M., Crawford, J. W., MacMillan, K., Wilson, M. J., & Young, I. M. (2007). Modelling nematode movement using time-fractional dynamics. Journal of Theoretical Biology, 248(1), 212-224. DOI: 10.1016/j.jtbi.2007.05.002

Hapca, Simona M.; Crawford, John W.; MacMillan, Keith; Wilson, Mike J.; Young, Iain M. / Modelling nematode movement using time-fractional dynamics.

In: Journal of Theoretical Biology, Vol. 248, No. 1, 07.09.2007, p. 212-224.

Research output: Contribution to journalArticle

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Hapca, SM, Crawford, JW, MacMillan, K, Wilson, MJ & Young, IM 2007, 'Modelling nematode movement using time-fractional dynamics' Journal of Theoretical Biology, vol 248, no. 1, pp. 212-224. DOI: 10.1016/j.jtbi.2007.05.002

Modelling nematode movement using time-fractional dynamics. / Hapca, Simona M.; Crawford, John W.; MacMillan, Keith; Wilson, Mike J.; Young, Iain M.

In: Journal of Theoretical Biology, Vol. 248, No. 1, 07.09.2007, p. 212-224.

Research output: Contribution to journalArticle

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Hapca SM, Crawford JW, MacMillan K, Wilson MJ, Young IM. Modelling nematode movement using time-fractional dynamics. Journal of Theoretical Biology. 2007 Sep 7;248(1):212-224. Available from, DOI: 10.1016/j.jtbi.2007.05.002