Simulation And Analysis Of Crop Cell Microtubule Transport Based On A Parallel-channel Exclusion Process With Narrow Entrances

As a large agricultural country,China is rich in crop species and the production of crops is related to food security.In the production of various types of crops,the problem of biological and environmental stress has been a major factor affecting their quality and yield,and how to use effective and feasible methods to improve crop stress resistance has become an urgent problem in current production.Since plant response to biological and environmental stresses is related to the dynamics of microtubules,which in turn is closely linked to the transport of related substances,it is particularly important to understand the internal mechanisms of crop cell movement.The totally asymmetric simple exclusion process(TASEP)model,as a classical transport model for non-equilibrium systems,has important research significance in the field of complexity systems science and microscopic cells.In addition,the model has important practical applications in clustering effects of living organisms and transportation.The establishment of reasonable TASEP models to reflect the real physical phenomena and analyze their dynamics is a key scientific problem in the study of non-equilibrium systems.To reveal the rich physical mechanism inside the TASEP system,which has important practical application and theoretical research value,is the core of solving the above key problems by reasonable means.In this paper,we take the transport mechanism inside the crop cells as the entry point,construct two transport models of multi-channel coupled TASEP based on the original TASEP model,and discuss the non-equilibrium kinetic transport phenomena of the system under different conditions.The main results are as follows:The TASEP model consisting of three parallel one-dimensional lattice chains is first investigated.When considering model entry interactions,the internal evolution law of the system is analyzed by using mean field theory and Monte Carlo simulation method.The density and flux evolution mechanisms of the system are dissected from the perspective of theoretical analysis through simple mean fields and cluster mean fields.It was found that the system phase diagram contains four steady-state phases without spontaneous symmetry breaking;The simulation results agree with the theoretical resolution,and the cluster mean field theory resolution is better compared with the simple mean field.Finally,it was concluded that the external channel of the three-channel model suppresses the internal channel so that the internal density value of the system does not exceed 0.5.On this basis,the multi-channel coupling model is explored in depth and a four-channel entrance coupling TASEP model is established.Define the special conditions for the entry of particles into the system according to the actual problem.The internal evolution mechanism of the system is investigated using technical means such as Monte Carlo simulation and cluster mean field theory.On the theoretical results,the system phase diagram containing four steady-state phases is obtained;Within the range of set particle jump-in and jump-out rates,the outer two channels of the system have the same suppression effect on the middle channel,but the number of suppressed increases compared to the threechannel model.In the analytical method,the limitations of the simple mean field theory are no longer applicable for the four-channel system with strong coupling effects.The complex non-equilibrium physical phenomena are explained from a theoretical perspective by constructing a multi-channel system coupled by two entrances,using meanfield theory resolution and Monte Carlo simulation methods.This provides a transport framework for scholars to study the internal transport of biological cells and the movement of molecular motors along microtubules,and also provides some scientific basis.