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An exclusion process for modelling fungal hyphal growth

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  • Evans, M.R.
  • Sugden, K.E.P.

Abstract

A simple model for mass transport within a growing fungal filament is reviewed. Inspired by the role of microtubule-transported vesicles, we embody the dynamics of mass along a quasi-one-dimensional hypha with mutually excluding particles hopping on a growing one-dimensional lattice. The model is a generalisation of the totally asymmetric simple exclusion process (TASEP) to a dynamically extending lattice. We discuss mean-field and improved mean-field equations and present a phase diagram of the model's steady-state behaviour which generalises that of the TASEP. In particular we identify a region in which a shock in the density travels forward more slowly than the tip of the lattice and thus moves away from both the boundaries.

Suggested Citation

  • Evans, M.R. & Sugden, K.E.P., 2007. "An exclusion process for modelling fungal hyphal growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(1), pages 53-58.
    • Handle: RePEc:eee:phsmap:v:384:y:2007:i:1:p:53-58
    DOI: 10.1016/j.physa.2007.04.078
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    Cited by:

    1. T.V., Binil Shyam & Sharma, Rati, 2024. "mRNA translation from a unidirectional traffic perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).

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