  The asymmetric simple exclusion process (ASEP) is a model of particle
transport used in the study of biological processes such as mRNA translation.
In 2014, Zhao and Krishnan introduced a new approach for analyzing the ASEP
using probabilistic Boolean networks (PBN). In this paper, we revisit and
further explore the PBN approach, with focus on computing steady state
distributions. Explicit forms of the structure matrices of some common
transitions are obtained. In addition, we derive a simplified method for
computing the structure matrices of Boolean functions and a general method for
writing the Boolean functions. These methods are also extended to multi-valued
logic networks for application in multi-species exclusion processes.
