Before revision:  Here we present an approach to model GRNs through a class of irreversible interacting particle systems called type-dependent stochastic spin models that depart from these traditions. The approach allows for a straightforward modeling of biochemical pathways at the level of promotion--inhibition circuitry, and a particular but otherwise generally applicable choice for the microscopic transition rates of the models also makes them of independent interest.
After revision:  Here we present an approach to model GRNs through a class of irreversible interacting particle systems called type-dependent stochastic spin models that depart from the usual chemical kinetics setup and includes spatial and temporal density fluctuations in a most natural way. A particular but otherwise generally applicable choice for the microscopic transition rates of the models also makes them of independent interest.