Tuning active Brownian motion with shot noise energy pulses

The main aim of this work is to explore the possibility of modelingthe biological energy support mediated by absorption of ATP (adenosinetriphosphate) as an energetic shot noise. We develop a general model withdiscrete input of energy pulses and study shot-noise-driven ratchets. We considerthese ratchets as prototypes of Brownian motors driven by energy-rich ATPmolecules. Our model is a stochastic machine able to acquire energy fromthe environment and convert it into kinetic energy of motion. We presentcharacteristic features and demonstrate the possibility of tuning these motors byadapting the mean frequency of the discrete energy inputs, which are described asa special shot noise. In particular, the effect of stochastically driven directionalityand uphill flux in systems acquiring energy from the shot noise is analyzed. Asa possible application we consider the motion of kinesin on a microtubule undera constant load force.