Before revision:  We  consider a mean-field dynamics for a type-dependent Ising model, and then study the empirical-magnetization vector in the thermodynamic limit .
After revision:  We analyze a non-symmetric feedback module being an extension for the repressilator, the first synthetic biological oscillator, invented by Elowitz and Leibler (2000). We consider a mean-field dynamics for a type-dependent Ising model, and then study the empirical-magnetization vector in the thermodynamic limit .