A model of hyphal tip growth involving microtubule-based transport

Abstract

We propose a simple model for mass transport within a fungal hypha and its subsequent growth. Inspired by the role of microtubule-transported vesicles, we embody the internal dynamics of mass inside a hypha with mutually excluding particles progressing stochastically along a growing one-dimensional lattice. The connection between long range transport of materials for growth, and the resulting extension of the hyphal tip has not previously been addressed in the modelling literature. We derive and analyse mean-field equations for the model and present a phase diagram of its steady state behaviour, which we compare to simulations. We discuss our results in the context of the filamentous fungus, Neurospora crassa.

5 pages, 5 figures

References in corpus (7)

• Phase transitions in an exactly soluble one-dimensional exclusion process
• Phase Coexistence in Driven One Dimensional Transport
• Physics of Transport and Traffic Phenomena in Biology: from molecular motors and cells to organisms
• The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
• Traffic of molecular motors through tube-like compartments
• Shock formation in an exclusion process with creation and annihilation
• Filament depolymerization by motor molecules

Cited by in corpus (36)

• Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
• Stochastic mechano-chemical kinetics of molecular motors: a multidisciplinary enterprise from a physicist's perspective
• Microtubule Length-Regulation by Molecular Motors
• Mixed population of competing TASEPs with a shared reservoir of particles
• A dynamically extending exclusion process
• Phase diagram of two-lane driven diffusive systems
• Dynamic Boundaries in Asymmetric Exclusion Processes
• Non-equilibrium phase transitions in tubulation by molecular motors
• Dynamical Transition in the Open-boundary Totally Asymmetric Exclusion Process
• Modelling bacterial flagellar growth
• Multilane driven diffusive systems
• Exclusive Queueing Processes and their Application to Traffic Systems
• Traffic Jams and Shocks of Molecular Motors inside Cellular Protrusions
• Dynamical phase transition of a 1D transport process including death
• Fluctuations in Polymer Translocation
• Collective transport of weakly interacting molecular motors with Langmuir kinetics
• Modelling the effect of myosin X motors on filopodia growth
• Two-species TASEP model: from a simple description to intermittency and travelling traffic jams
• Jamming transition in a driven lattice gas
• Exclusion in a priority queue
• Spontaneous pulsing states in an active particle system
• Density profiles of the exclusive queueing process
• Self-organized system-size oscillation of a stochastic lattice-gas model
• Length regulation of microtubules by molecular motors: Exact solution and density profiles
• Interference of two co-directional exclusion processes in the presence of a static bottleneck: a biologically motivated model
• A Multispecies Exclusion Model Inspired By Transcriptional Interference
• A Multispecies Exclusion Process with Fusion and Fission of Rods: a model inspired by Intraflagellar Transport
• Critical behavior of the exclusive queueing process
• Flagellar length control in monoflagellates by motorized transport: growth kinetics and correlations of length fluctuations
• Realization of the open-boundary totally asymmetric simple exclusion process on a ring
• Effective ergodicity breaking in an exclusion process with varying system length
• Boundary induced phase transition with stochastic entrance and exit
• A biologically motivated three-species exclusion model: effects of leaky scanning and overlapping genes on initiation of protein synthesis
• Exclusion process on an open lattice with fluctuating boundaries
• Machines of life: catalogue, stochastic process modeling, probabilistic reverse engineering and the PIs- from Aristotle to Alberts
• Resource Letter: Bio-molecular Nano-machines: where Physics, Chemistry, Biology and Technology meet