An exclusion process for modelling fungal hyphal growth

Martin Evans, K. E. P. Sugden

Research output: Contribution to journalArticlepeer-review


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. (C) 2007 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)53-58
Number of pages6
JournalPhysica a-Statistical mechanics and its applications
Issue number1
Publication statusPublished - 1 Oct 2007


  • fungal growth
  • shock formation


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