https://doi.org/10.1140/epjp/s13360-022-02500-5
Regular Article
Effect of steady-state dynamics with local association/dissociation under exclusion process
School of Mechanical &Vehicle Engineering, Linyi University, 276000, Linyi, China
Received:
6
November
2021
Accepted:
17
February
2022
Published online:
9
March
2022
Motor proteins (or molecular motors) can transport cellular cargoes along linear protein filaments and reversibly associate to their paths in many biological processes. Inspired by these observations, a model used to describe the collective kinetics of motor proteins association/dissociation at a special site is developed. This special site can be considered as a local defect, which divides the inhomogeneous system into two coupled homogeneous segments. Therefore, a full depiction of stationary kinetics in the system can be obtained. There are eight different dynamic regions in our model. Importantly, the LD (low-density):HD (high-density) phase can exist in all eight different dynamic regions. Interestingly, the MC (maximal current):MC phase can be in the system with the special association and dissociation rates. The results show that the number and nature of steady-state phases are strongly determined by the association and dissociation rates, indicating that we can adjust motor proteins transport by controlling association/dissociation. Theoretical calculations agree well with extensive Monte Carlo simulations.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
