Before revision:  in the former the shape of flux is constrained completely by deformed toric ideal constraints, and in the latter, it is shown the deformed toric ideal constrains the  parameters of flux at least partially  .
After revision:  in the former the shape of flux is constrained completely by deformed toric ideal constraints, and in the latter, it is shown the deformed toric ideal constrains the parameters of flux at least partially . Even in the latter case, the flux and the concentrations are constrained completely with the additional constraint that the total amount of enzyme is constant .