Measurement of uncertainty and discrimination limit in purity tests of drug quality

Statistical reliability of a relative standard deviation of chromatographic peak area estimated by a chemometric tool based on the FUMI theory

In pharmaceutical analysis using a high-performance liquid chromatography (HPLC) system, repeatability assessment is significant to obtain reliable and precise quantitative results. The purpose of the present study is to experimentally show the statistical reliability of a relative standard deviation (RSD) of peak area estimated by a chemometric tool based on probability theory, called the function of mutual information (FUMI) theory, which stochastically provided an RSD of peak area and SD of baseline areas with width k (s(k)) from noises and a signal on a single chromatogram. An ultra-high-performance liquid chromatography with ultraviolet detection (UHPLC-UV) for determining ergosterol was applied as an example of the repeatability assessment. In addition, the statistical reliability of an RSD of peak area in the UHPLC-UV system was certified according to a chi-square (χ2) distribution. The 712 values of s(k) were experimentally obtained from a data series of 1001 points in the noise regions of 712 chromatograms. The histogram of χ2 of s(k) was well-fitted to the χ2 distribution curve (freedom degree, ν = 50), indicating that the statistical reliability of an RSD of the peak area in the UHPLC-UV estimated by the FUMI theory (n = 1) was equivalent to that estimated by 50 runs of chromatographic measurements.

Temperature-dependent refractive index issues using a UV-visible detector in high-performance liquid chromatography

While studying the properties of some potential, UV-detection compatible, mobile phase modifiers for reversed-phase liquid chromatography (RPLC) we encountered serious detector baseline problems. The most severe problem was a periodic saw-tooth-shaped drift. This drift was most noticeable when using water-THF and water-dioxolane mobile phases. We demonstrate that the baseline problems are related to temperature fluctuation in a water bath used to maintain a constant column temperature. The temperature fluctuations change the refractive index (RI) of the mobile phase, which in turn affects the amount of light reaching the detector. Our results show that the magnitude of the baseline drift is related to the RI value of the mobile phases. The baseline problems can be alleviated using a different temperature controller whose feedback mechanism assures smoother operation. Since there is no single and complete source of information in the literature concerning the RI values of typical mobile phases in RPLC, we decided to measure them as a function of the % modifier (between 0 and 100%) and the temperature (between 25 degrees C and 50 degrees C). Knowing the RI values allows us to calculate the excess volume of a binary liquid system.

Discrimination limit for purity test of human insulin by capillary electrophoresis

Because of the inevitable noise in instrumental analysis, a purity test can overlook an illegitimate drug that contains an undesired substance in a higher amount than the prescribed limit. The lowest (average) amount of undesired substance which leads to the right results of the purity test with 95% probability is referred to here as 95% discrimination limit. This paper presents a method for predicting the discrimination limit for the purity test of human insulin in capillary electrophoresis (CE). The theory and experiments show that if the legitimate limit of a degradation product (desamido insulin) is 3.0% of the total amount of the insulin formulation, the 95% discrimination limit in the CE system used in this study is 3.24% desamido insulin. Since the statistical aspects of the purity test are provided by the interpretation of the baseline fluctuation in the instrument, the usual strategy to repeat the instrumental analysis on the same samples is unnecessary in the present study.