title: Queueing induced by bidirectional motor motion near the end of a microtubule.
abstract: Recent live observations of motors in long-range microtubule (MT) dependent transport in the fungus Ustilago maydis have reported bidirectional motion of dynein and an accumulation of the motors at the polymerization-active (the plus-end) of the microtubule. Quantitative data derived from in vivo observation of dynein has enabled us to develop an accurate, quantitatively-valid asymmetric simple exclusion process (ASEP) model that describes the coordinated motion of anterograde and retrograde motors sharing a single oriented microtubule. We give approximate expressions for the size and distribution of the accumulation, and discuss queueing properties for motors entering this accumulation. We show for this ASEP model, that the mean accumulation can be modeled as an M/M/∞ queue that is Poisson distributed with mean F(arr)/p(d), where F(arr) is the flux of motors that arrives at the tip and p(d) is the rate at which individual motors change direction from anterograde to retrograde motion. Deviations from this can in principle be used to gain information about other processes at work in the accumulation. Furthermore, our work is a significant step toward a mathematical description of the complex interactions of motors in cellular long-range transport of organelles.
authors.affiliation: Mathematics Research Institute, University of Exeter, Exeter, Devon EX4 4QF, United Kingdom.
authors.forename: Peter
authors.initials: P
authors.lastname: Ashwin
authors.forename: Congping
authors.initials: C
authors.lastname: Lin
authors.forename: Gero
authors.initials: G
authors.lastname: Steinberg
mesh_terms: D005656:Fungal Proteins / Q000378:metabolism; D008870:Microtubules / Q000378:metabolism*; D008954:Models, Biological; D020409:Molecular Motor Proteins / Q000378:metabolism*; D009068:Movement; D014588:Ustilago / Q000166:cytology / Q000378:metabolism
chemical_list: D005656:Fungal Proteins; D020409:Molecular Motor Proteins