Localization of a microtubule organizing center by kinesin motors
Molecular motors are proteins which bind to a polarized cytoskeletal filament and move steadily along it. Molecular motors of the kinesin family move along microtubules (MTs), which are a component of the cytoskeleton. A very processive kinesin motor Kip3p, is known to promote catastrophes and pausing of MT, in particular on cortical contact. These properties play an important role in positioning the mitotic spindle in budding yeast. We present a theoretical approach to positioning of MT networks under confinement. In order to explore a localization mechanism of a microtubule organizing center (MTOC), we introduce an idealized system of two MTs connected by a MTOC. The dynamics of Kip3p is modeled by interacting stochastic particles, which allows us to study the effects of motor-induced depolymerization in a finite volume. We find that localization in the middle of the cavity is realized in a parameter regime where the motor densities on the MTs are increasing with the distance from the MTOC. Localization at an asymmetric position is also possible by tuning model parameters.