An exclusion process for modelling fungal hyphal growth

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...

Full description

Saved in:
Bibliographic Details
Published inPhysica A Vol. 384; no. 1; pp. 53 - 58
Main Authors Evans, M.R., Sugden, K.E.P.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.10.2007
Subjects
Fungal growth
Shock formation
TASEP
87.16.Ka
Fungal growth
87.10.+e
Shock formation
05.40. - a
87.16.Ac
TASEP
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2007.04.078