6533b85efe1ef96bd12c0827

RESEARCH PRODUCT

Stepping molecular motor amid Lévy white noise

Martin BierBartosz LisowskiDavide ValentiEwa Gudowska-nowakBernardo Spagnolo

subject

Statistics and ProbabilityModels MolecularPhysicsMolecular Motor ProteinsMathematical analysisCondensed Matter PhysicWhite noiseMidpointDisplacement (vector)MotionNoiseReflection symmetryMolecular motorHead (vessel)Computer SimulationStatistical physicsStepperStatistical and Nonlinear Physic

description

We consider a model of a stepping molecular motor consisting of two connected heads. Directional motion of the stepper takes place along a one-dimensional track. Each head is subject to a periodic potential without spatial reflection symmetry. When the potential for one head is switched on, it is switched off for the other head. Additionally, the system is subject to the influence of symmetric, white Lévy noise that mimics the action of external random forcing. The stepper exhibits motion with a preferred direction which is examined by analyzing the median of the displacement of a midpoint between the positions of the two heads. We study the modified dynamics of the stepper by numerical simulations. We find flux reversals as noise parameters are changed. Speed and direction appear to very sensitively depend on characteristics of the noise.

10.1103/physreve.91.042713http://ruj.uj.edu.pl/xmlui/handle/item/13314