An exclusion process for modelling fungal hyphal growth

M.R. Evans and K.E.P. Sugden

Physica A: Statistical Mechanics and its Applications, 2007, vol. 384, issue 1, 53-58

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.

Keywords: Fungal growth; TASEP; Shock formation (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:384:y:2007:i:1:p:53-58

DOI: 10.1016/j.physa.2007.04.078

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