Active Brownian Dynamics Applied to a Molecular Motor System

Abstract

An active Brownian particle in our generalized energy-depot model is able to convert the internal energy into mechanical energy via a non-linear conversion mechanism. In this work we analyze the model assuming that the energy conversion rate function consists of linear and quadric terms of the particle's velocity. We develop a simple model which describes the motion of diverse molecular motors and provide a basic idea on the physical and biological mechanisms behind the dynamics of molecular motors. The active motion driven by a stochastic energy supply is investigated under the influences of ratchet potential, external load, thermal noise, and ATP concentration by adopting the experimentally well-known realistic parameters of kinesin-1.