Complex/Dynamical Systems Seminar - Hui-Shun Kuan
| Thursday, April 28, 2016 2:00 PM - 3:00 PM |
| Main Campus - Engineering Office Tower - 226: Applied Math Conference Room |
| Hui-Shun Kuan, Department of Physics, University of Colorado Boudler Ìý Nonlinear dynamics and phase space flows to understand molecular motor motion on antiparallel lanes Motor protein motion on biopolymers can be described by driven diffusive models related to the totally asymmetricÌýsimpleÌýexclusion process (TASEP),Ìýwhich is simple model of hopping, interacting particles in one dimension originally inspired by motion of traffic on highways.ÌýBased on recent experiments on the motion of kinesin-4 motors on antiparallel microtubule overlaps, we develop a model incorporating the TASEP on two antiparallel lanes with binding kinetics (particlesÌýcan be added and removed) and lane switching (particlesÌýchange direction).ÌýWe determine the steady-state motor density profiles and phase diagram using phase space flows at the mean-field levelÌýandÌýcompared our results to kinetic Monte Carlo simulations.ÌýPhases previously identified for the single-filament model occur in the limit of zero switching rate. In addition, lane switching couples the density profiles on the two lanes and can lead to a new phase not possible for a single filament: switching moves motors from the higher density lane to lower density lane, causing local jamming and creating multiple domain walls. We determine the phase diagram of the model for both symmetric and general boundary conditions. |