Before revision:  In this paper, we provide the accuracy of the multiscaling model reduction for a stochastic reaction network under a certain multiscaling regime. When a subset of chemical species in a reaction network has much higher abundance than others, the associated stochastic process can be modeled under multiscaling regime. Previous works in the literature showed that the original stochastic system can be approximated with a reduced limiting system, as the scaling parameter N tends to infinity.
After revision:  In this paper, we consider a particular multiscaling limit for a class of stochastic reaction systems, with the property that all reactions initially take place at an approximately constant rate. It is known that the model can be approximated with a reduced limiting system, as the scaling parameter N tends to infinity.