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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.
|Number of pages||6|
|Journal||Physica a-Statistical mechanics and its applications|
|Publication status||Published - 1 Oct 2007|
- fungal growth
- shock formation
- MOLECULAR MOTORS