%0 Book Section %1 statphys23_0392 %A Evans, M.R. %A Sugden, K.E.P. %A Poon, W.C.K. %A Read, N.D. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K asymmetric exclusion fungal growth molecular motors process statphys23 topic-10 %T Modelling Fungal Hyphal Growth with an Exclusion Process %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=392 %X A simple model for mass transport within a growing fungal filament is proposed. Inspired by the role in fungal tip growth 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 asymmetric exclusion process (ASEP) 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 ASEP. 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 boundaries. We compare our results to experimental data in the context of filamentous fungus, Neurospora crassa, and discuss possible mechniasms for Spitzenkorper formation. Reference K. E. P. Sugden, M. R. Evans, W. C. K. Poon and N. D. Read Phys. Rev. E vol. 75, 031909 (2007)

@incollection{statphys23_0392, abstract = {A simple model for mass transport within a growing fungal filament is proposed. Inspired by the role in fungal tip growth 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 asymmetric exclusion process (ASEP) 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 ASEP. 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 boundaries. We compare our results to experimental data in the context of filamentous fungus, Neurospora crassa, and discuss possible mechniasms for Spitzenkorper formation. Reference K. E. P. Sugden, M. R. Evans, W. C. K. Poon and N. D. Read Phys. Rev. E vol. 75, 031909 (2007)}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Evans, M.R. and Sugden, K.E.P. and Poon, W.C.K. and Read, N.D.}, biburl = {https://www.bibsonomy.org/bibtex/2aa92d4c6442df8db3f7fbd8319b5a7e0/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {fdff44c6b2dd2eca1d3ef62778530699}, intrahash = {aa92d4c6442df8db3f7fbd8319b5a7e0}, keywords = {asymmetric exclusion fungal growth molecular motors process statphys23 topic-10}, month = {9-13 July}, timestamp = {2007-06-20T10:16:19.000+0200}, title = {Modelling Fungal Hyphal Growth with an Exclusion Process}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=392}, year = 2007 }