Modelling nematode movement using time-fractional dynamics

Simona Hapca (Lead / Corresponding author), John W. Crawford, Keith MacMillan, Mike J. Wilson, Iain M. Young

    Research output: Contribution to journalArticlepeer-review

    23 Citations (Scopus)


    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)212-24
    Number of pages13
    JournalJournal of Theoretical Biology
    Issue number1
    Publication statusPublished - 7 Sept 2007


    • Animals
    • Computer Simulation
    • Models, Biological
    • Movement
    • Rhabditoidea
    • Stochastic Processes


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