We have shown that, by using a one-dimensional lattice gas model with the next-nearest neighbor interactions and calculating the thermodynamic potential of the system by means of the transfer matrix method, we can find numerically for enzyme kinetics some new diagrams of saturation curve. These diagrams in the limit of no interactions between sites reduce to the classical Michaelis-Henri diagrams and in the limit of the nearest neighbor interactions to some other diagrams which we have obtained before by using a correlated walks theory. These new diagrams of saturation curve can be useful for the experimental investigation. (author). 7 refs, 4 figs.