Before revision:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em  ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates (  as YES and NOT),  the whole triggering prompt effort even from the theoretical counterpart.
After revision:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates ( as YES and NOT), provides a logic base and paves the way to the development of powerful biotechnological devices. The investigation of this field would enormously benefit from a self-consistent, predictive, theoretical framework. Here we formulate a complete statistical mechanical description of the whole triggering prompt effort even from the theoretical counterpart.