v([I]) data were obtained for the hydrolysis of the chromogenic substrate H-D-Phe-L-Pip-L-Arg-pNA (S-2238) by native human thrombin in the presence of the synthetic inhibitors Benzamidine and N-dansyl-(p-guanidino)-phenylalanine-piperidide (I-2581). v([S]) data were also obtained in the absence and presence of fixed concentrations of each of the inhibitors. 2. Analysis of the kinetic data was based on the numerical fitting to rate equations of the polynomial quotient type of degree n:m using nonlinear regression methods. The discrimination between rate equations with different degrees was performed by application of the statistical F test. 3. Of eight v([I]) curves fitted, in six cases it was found that degree 1:2 was significantly better than degree 1:1 at a confidence level of 95% or higher; in no case was a significant improvement found with rate equations with a higher number of parameters. For the v([S]) data, of eleven curves fitted it was found that in nine cases degree 2:2 significantly improved degree 1:1 at confidence levels 99% and in one case at a level of 95%; no significant improvement was found with rate equations of higher degree for these data either. 4. Our findings allow us to propose that inhibition of the amidolytic activity of native human thrombin by benzamidine and I-2581 may be accounted for by mechanisms whose v([I]) rate equation will be a minimum of degree 1:2, thus implying a pure inhibition.(ABSTRACT TRUNCATED AT 250 WORDS)