Combined effects of some chemicals on beta–galactosidase activity using a new semiparametric error in variables model

The combined effects of some chemicals on β–galactosidase activity by Anoxybacillus sp. FMB1 were studied using semiparametric errors in variables methodology when the error has an unknown distribution. An experimental design was chosen to explain six chemicals, dithiothreitol (DTT), phenylmethylsulfonyl fluoride (PMSF), N–ethylmaleimide (NEM), iodoacetamide (Iod A), –Mercaptoethanol (β–Mer) and 1,10–phenanthroline (phen) and to investigate the results. This technique constrained the number of real experiments performed while considering conceivable interactions between six chemicals. The optimal combinations of chemical concentration for maximum β–galactosidase activity was determined as 8 mM DTT, 8 mM PMSF, 8 mM NEM, 8 mM Iod A, 2 mM β–Mer and 2 mM phen. We also compared the no measurement error case and errors in variables case. The proposed estimator shown has better performances. Keyword: β–galactosidase, inhibition, semiparametric EIV Model, unknown distribution