Study of nonequilibrium phase transitions mechanisms in exclusive network and node model of heterogeneous assignment based on real experimental data of KIF3AC and KIF3CC motors

By simulating nonequilibrium processes like biological transport, traffic transport, etc., totally asymmetric simple exclusion process (i.e., TASEP) is vital to understand stochastic dynamics of lattice systems. Stochastic networks using TASEP as underlying dynamics make a more practical generalization of traditional exclusion models, which better simulate real transport processes. According to real experimental data, a new network structure of nonaverage weight assignment at nodes is constructed to further understand physical mechanisms of molecular motors transporting along microtubules. Two typical kinesins, KIF3AC and KIF3CC, are used as modeling bases. High-tendency segments and low-tendency segments are introduced to characterize heterogeneous flow distribution at nodes. Multi-body system dynamics affected by the global density are studied. Edge densities are analyzed by using new mean-field theories compared with Monte Carlo simulations. New detailed structures of adsorption and desorption at nodes are considered. In order to restore a motor transport framework more suitable for real systems, analytical solutions and simulations of local statistical densities and phase diagrams affected by particle desorption and no desorption are obtained. This work provides help for understanding dynamical mechanisms of complex networks and other important nonlinear physics depicting molecular motors transport, cytoskeleton designs, structural optimizations, etc.