Before revision:  We propose an alternative approach to model the dynamical behaviors  , that is, a type-dependent spin system, this class of stochastic models was introduced by Fern\'andez et. al (2009), and are useful since take account to inherent variability of gene expression.
After revision:  We propose an alternative approach to model the dynamical behaviors of biological feedback loop , that is, a type-dependent spin system, this class of stochastic models was introduced by Fern\'andez et. al (2009), and are useful since take account to inherent variability of gene expression.