Tuning active Brownian motion with shot noise energy pulses

The main aim of this work is to explore the possibility of modeling the biological energy support mediated by absorption of ATP (adenosine triphosphate) as an energetic shot noise. We develop a general model with discrete input of energy pulses and study shot-noise-driven ratchets. We consider these ratchets as prototypes of Brownian motors driven by energy-rich ATP molecules. Our model is a stochastic machine able to acquire energy from the environment and convert it into kinetic energy of motion. We present characteristic features and demonstrate the possibility of tuning these motors by adapting the mean frequency of the discrete energy inputs, which are described as a special shot noise. In particular, the effect of stochastically driven directionality and uphill flux in systems acquiring energy from the shot noise is analyzed. As a possible application we consider the motion of kinesin on a microtubule under a constant load force.