Uncertainty evaluation for the determination of repaglinide in human plasma by LC–MS/MS

Measurement uncertainty although introduced to medical laboratories some years ago, this concept is not familiar to all medical researchers, especially for the measurement of biological samples. Therefore, it is important to highlight the evaluation and expression of measurement uncertainty using a practical example. In accordance with published procedures for evaluating and expressing uncertainty, we analyzed the sources of uncertainty in the determination of repaglinide in human plasma using liquid chromatography–tandem mass spectrometry (LC–MS/MS). We investigated each component of uncertainty and calculated the combined and expanded uncertainties. We evaluated the uncertainty associated with repeatability, weighing, purity, solution and sample preparation, recovery, calibration fitting, and temperature. The expanded uncertainty for low, medium, and high concentrations of repaglinide was 0.090, 0.25, and 3.16 ng/mL, respectively (p = 95 %, k = 2). This example provides an important reference for the evaluation of uncertainty in biological sample determinations using LC–MS/MS and human plasma and will be helpful in explaining the reliability of test results.     

Evaluation of measurement uncertainty in EA–IRMS: for determination of δ 13C value and C-4 plant sugar content in adulterated honey

In this study, the method for determining the stable carbon isotope ratio value was validated. Measurement uncertainty of stable carbon isotope ratio value of whole honey and its extracted protein derived from repeatability, reference gas, reference standards and calibration curve was calculated by applying the “bottom-up” approach according to Eurachem/CITAC guide. The expanded uncertainties for all results ranged from 0.14 to 0.19 ‰, with most of them between 0.15 and 0.16 ‰ (the coverage factor k = 2, the level of confidence p is approximately 95 %). The percentage contribution of each source to the relative combined uncertainty was calculated. The data indicated that calibration curves have more contribution to the relative combined uncertainty than repeatability and reference standards. On the other hand, the measurement uncertainty of C-4 sugar content in honey was estimated. Based on these results, 58 honey samples, such as acacia, chaste, Northeast China black bee, flowers and jujube honey, have been gathered to determine the C-4 plant sugar content adulteration in honey by elemental analyzer with an isotope ratio mass spectrometer. It can be found that all honey samples were not adulterated by C-4 plant sugar.     

Uncertainty of carboxyhaemoglobin determination in putrefied blood by headspace gas chromatography

The uncertainty of carboxyhaemoglobin (COHb) determination in post-mortem blood samples by headspace gas chromatography with the use of methanizer and flame ionization detector was estimated. Four main components of uncertainty were identified, i.e. calibration, measurement repeatability, standard solutions preparation and sample preparation, and their contributions to the combined uncertainty were determined. The calibration step was the dominating source of uncertainty, counting for more than 39 % of overall variance. The contribution of remaining sources to the combined uncertainty was lower than 31 % (measurement repeatability), 21 % (standards preparation) and 12 % (sample preparation). The calculated absolute expanded uncertainty in samples containing 3.8–82 % mass fraction of COHb ranged between 2.2 % and 2.6 % (coverage factor 2), depending only slightly on the analyte level in the analysed sample.     

Preparation and evaluation of sufficiently homogeneous and stable reference materials for priority hazardous substances in whole water

We have prepared and evaluated three whole water test materials containing eight polycyclic aromatic hydrocarbons (PAHs), six polybrominated diphenyl ethers (PBDEs) and tributyltin (TBT) with respect to homogeneity and short-term stability. The test materials were used as samples in two inter-laboratory comparisons. The materials were composed of natural mineral water and model suspended particulate matter (SPM) containing the target compounds at ng L^?1 levels. The expanded uncertainty of the estimated mass concentrations in the final test materials was obtained by combining contributions from the homogeneity, the stability and the model SPM characterization. The whole water materials were sufficiently homogeneous and stable at 4 °C for their intended use. In total, 12 out of 15 investigated target parameters could be assessed to be present with a relative combined expanded uncertainty below 25 %. The outcome of the two inter-laboratory comparisons confirmed the good quality of the test materials and the level of uncertainties associated with the estimated mass concentrations. These findings are an important contribution towards the development of whole water matrix reference materials certified for PAH, PBDE and TBT in support of the Water Framework Directive of the European Union.     

Uncertainty in analytical results from solid materials with electrothermal atomic absorption spectrometry: a comparison of methods

The combined uncertainty in the analytical results of solid materials for two methods (ET-AAS, analysis after prior sample digestion and direct solid sampling) are derived by applying the Guide to the Expression of Uncertainty in Measurement from the International Standards Organization. For the analysis of solid materials, generally, three uncertainty components must be considered: (i) those in the calibration, (ii) those in the unknown sample measurement and (iii) those in the analytical quality control (AQC) process. The expanded uncertainty limits for the content of cadmium and lead from analytical data of biological samples are calculated with the derived statistical estimates. For both methods the expanded uncertainty intervals are generally of similar width, if all sources of uncertainty are included. The relative uncertainty limits for the determination of cadmium range from 6% to 10%, and for the determination of lead they range from 8% to 16%. However, the different uncertainty components contribute to different degrees. Though with the calibration based on reference solutions (digestion method) the respective contribution may be negligible (precision < 3%), the uncertainty from a calibration based directly on a certified reference material (CRM) (solid sampling) may contribute significantly (precision about 10%). In contrast to that, the required AQC measurement (if the calibration is based on reference solutions) contributes an additional uncertainty component, though for the CRM calibration the AQC is “built-in”. For both methods, the uncertainty in the certified content of the CRM, which is used for AQC, must be considered. The estimation of the uncertainty components is shown to be a suitable tool for the experimental design in order to obtain a small uncertainty in the analytical result.     

Evaluation of an HPIC Method for Determination of Nitrates in Vegetables

The aim of the work was to verify the reliability of an HPIC method for determination of nitrates in vegetables using statistical analysis to evaluate validation parameters according the ISO/IEC 17025:2005. Standard solutions were used for the construction of a calibration curve, which was supported by Varian Star Workstation software. All calculated validation characteristics were summarized in an Excel table with final evaluation of the method. Repeatability was characterized by the selected variation coefficient s_R, calculated from the standard deviation s_d and arithmetic mean from a series of measurements under repeat conditions, accuracy by the variation coefficient s_R, and recovery. The repeatability of the method of 3.62% is under the set limit of 5%. The calculated uncertainty was 4.22% with a recovery of 99.2%. Determination of nitrate was linear over the whole range of the calibration graph. The LOQ was 0.60 mg L⁻¹, which is fully acceptable within the requirements for nitrate determination in plant materials. Standard uncertainty of these methods was calculated as an expanded uncertainty according to Eurachem documents in the PC program Metro2003, version 2.30.

     

Precise determination of bromine in PP resin pellet by instrumental neutron activation analysis using internal standardization

Instrumental neutron activation analysis with the internal standardization was applied to the precise determination of Br in polypropylene resin of candidate certified reference material. The known amount of ¹⁹⁷Au was used as an internal standard to compensate for neutron flux inhomogeneity, to improve the γ ray measurement uncertainty and the linearity of the calibration curves. The reliability of the proposed method validated using analytical results of BCR-681. The analytical result of Br in the sample was consistent with that obtained by ID-ICPMS. The relative expanded uncertainty (k = 2) was 1.5 %, and it was equivalent to that of ID-ICPMS.     

Comparison of measurement uncertainties in direct plasma low-density lipoprotein cholesterol method of measurement and indirect estimation according to Friedewald equation

Concentration of low-density lipoprotein (LDL) cholesterol in plasma is appropriate to detect coronary heart disease risk. Many laboratories use the Friedewald equation for estimating this quantity instead of direct measurement. Nine clinical laboratories having an Hitachi <MODULAR ANALYTICS> selected 10 adult patients having results of cholesterol, high-density lipoprotein (HDL) cholesterol, LDL-cholesterol, and triglyceride concentrations in serum or plasma. Additionally, LDL-cholesterol concentrations were estimated using the Friedewald equation. Combined and expanded uncertainties were calculated for all results. The mean relative combined uncertainty corresponding to direct measurement of LDL-cholesterol concentrations is 6.9% and that corresponding to estimation is 19.4%. The expanded uncertainty (k = 2) of a result equal to 3.40 mmol/L (the discriminant value universally used to detect cardiovascular risk) obtained by direct measurement and by estimation using the Friedewald equation, are 0.22 and 0.55 mmol/L, respectively. The uncertainty of the direct measurement is very much lower than the estimation with the Friedewald equation.     

Measurement uncertainty of isotopologue fractions in fluxomics determined via mass spectrometry

Metabolic flux analysis implies mass isotopomer distribution analysis and determination of mass isotopologue fractions (IFs) of proteinogenic amino acids of cell cultures. In this work, for the first time, this type of analysis is comprehensively investigated in terms of measurement uncertainty by calculating and comparing budgets for different mass spectrometric techniques. The calculations addressed amino acids of Pichia pastoris grown on 10 % uniformly ¹³C labeled glucose. Typically, such experiments revealed an enrichment of ¹³C by at least one order of magnitude in all proteinogenic amino acids. Liquid chromatography–time-of-flight mass spectrometry (LC-TOFMS), liquid chromatography–tandem mass spectrometry (LC-MS/MS) and gas chromatography–mass spectrometry (GC-MS) analyses were performed. The samples were diluted to fit the linear dynamic range of the mass spectrometers used (10 μM amino acid concentration). The total combined uncertainties of IFs as well as the major uncertainty contributions affecting the IFs were determined for phenylalanine, which was selected as exemplary model compound. A bottom-up uncertainty propagation was performed according to Quantifying Uncertainty in Analytical Measurement and using the Monte Carlo method by considering all factors leading to an IF, i.e., the process of measurement and the addition of ¹³C-glucose. Excellent relative expanded uncertainties (k?=?1) of 0.32, 0.75, and 0.96 % were obtained for an IF value of 0.7 by LC-MS/MS, GC-MS, and LC-TOFMS, respectively. The major source of uncertainty, with a relative contribution of 20–80 % of the total uncertainty, was attributed to the signal intensity (absolute counts) uncertainty calculated according to Poisson counting statistics, regardless which of the mass spectrometry platforms was used. Uncertainty due to measurement repeatability was of importance in LC-MS/MS, showing a relative contribution up to 47 % of the total uncertainty, whereas for GC-MS and LC-TOFMS the average contribution was lower (30 and 15 %, respectively). Moreover, the IF actually present also depends on the isotopic purity of the carbon sources. Therefore, in the uncertainty calculation a carbon source purity factor was introduced and a minor contribution to the total uncertainty was observed. The results obtained by uncertainty calculation performed according to the Monte Carlo method were in agreement with the uncertainty value of the Kragten approach and showed a Gaussian distribution.     

Uncertainty Analysis of Chlormequat Residue in Fruits by LC�CMS�CMS

A method for determination of chlormequat (CCC) residue in fruits by liquid chromatography?Ctandem mass spectrometry (LC?CMS?CMS) was developed. Residue of CCC was extracted from samples with methanol?Cwater (v/v, 1:1) containing 1.0% acetic acid, cleaned up by strong cationic exchange (SCX) cartridge, and then determined by LC?CMS?CMS. The method showed good linearity over the concentration range 0.002?C5.0 mg kg^?1 with correlation coefficient above 0.997. The limit of detection (LOD) and limit of quantitation (LOQ) for CCC were 5 × 10^?4 mg kg^?1 (S/N = 3) and 0.002 mg kg^?1 (S/N = 10), respectively. Recoveries for CCC at three spiked levels (0.025, 0.050, and 0.20 mg kg^?1) were in the range 80?C102%. Estimation of measurement uncertainty was calculated for CCC at the level of 0.025 mg kg^?1 in fruits. The results demonstrated that the uncertainty of recovery was the main contribution to the combined standard uncertainty. The relative combined standard uncertainties associated with the method ranged from 11 to 13%, depending on the sample matrices.     

Development of methodology for the determination of boron in ThO2 employing spectrophotometry

Boron was determined in ThO₂ employing spectrophotometry using curcumin as complexing agent after dissolution with 85 % ortho phosphoric acid and separation of boron with 10 % 2-ethyl hexane 1,3 diol in CHCl₃. The methodology was validated by employing ThO₂ standards made from inter laboratory comparison experiments DAE, India. Absolute detection limit of the methodology was found to be 30 ng. Precision and accuracy of the methodology were found to be 4.2 and 2 % respectively. The expanded uncertainty in measurement of boron (at coverage factor 2) was estimated as per ISO guidelines employing bottom-up approach and it was found to be 9.2 %.     

Using high-performance quantitative NMR (HP-qNMR®) for certifying traceable and highly accurate purity values of organic reference materials with uncertainties <0.1 %

Quantitative nuclear magnetic resonance (qNMR) in combination with metrological weighing is optimised to demonstrate the power of the qNMR measurement method. It is shown that with ¹H-qNMR it is possible to certify the purity of organic reference materials (expressed as mass fraction) with relative expanded uncertainties of <0.1 % for a 95 % confidence interval (k = 2). Following well-defined selection criteria, a set of twelve different chemical compounds is evaluated and certified to serve as internal references for ¹H-qNMR measurements. A series of comparison measurements is made amongst a subset of the selected compounds. The purity of maleic acid is determined by six different ¹H-qNMR measurement series, and all results show full consistency. All the six mean values are covered within the range of ±0.05 %. In two more measurement series, four different nuclei are analysed within the same sample against one calibrator. Even with non-optimised signal intensity ratios and varying signal pattern, a high consistency was obtained. Therefore, the validity and robustness of ¹H-qNMR measurement results are demonstrated. ¹H-qNMR measurement results are directly traceable to a variety of internationally accepted primary reference materials, and therefore, traceability to SI units is obtained. All experiments are performed under ISO/IEC 17025 and ISO Guide 34 accreditation.     

Measurement uncertainty as a tool for evaluating the ‘grey zone’ to reduce the false negatives in immunochemical screening of blood donors for infectious diseases

The risk of misclassifying infected individuals as healthy constitutes a crucial challenge when screening blood donors by means of immunoassays. This risk is especially challenging when the numerical results are close to the clinical decision level, i.e. in the ‘grey zone’. The concept of using measurement uncertainty for evaluating the ‘grey zone’ has previously not been systematically applied in this context. This article explains methods, models and empirical (top-down) approaches for the calculation of measurement uncertainty using results from a blood bank according to the internationally accepted GUM principles, focusing on uncertainty sources in the analytical phase. Of the different approaches available, the intralaboratory empirical approaches are emphasised since modelling (bottom-up) approaches are impracticable due to the lack of reliable model equations for immunoassays. Different methods are applied to estimate the measurement uncertainty for the Abbott Prism^® HCV immunoassay. The expanded uncertainty obtained at the clinical decision level from the intralaboratory empirical approach was 36 %. The estimated uncertainty was used to set acceptance and rejection zones following the procedure set in the Eurachem guideline, emphasising the need to minimise the occurrence of false negatives.     

A thought on uncertainty evaluation using ANOVA

The uncertainty evaluation based on ANOVA is discussed using the data in the example H.5 of the GUM. The example has shown the uncertainties of the results obtained on J = 10 days with K = 5 independent repeated observations for each day. Depending on whether a between-day effect exists or not, the two different equations have been involved in the uncertainty evaluation. Moreover, as expected from general statistical inference, the choice of the significance level in F-test may decide the existence of the effect. In this paper, F-tests on various J (j = 2, 3, …, 9 instead of 10) day observations at the 5 % significance level show inconsistent results for the existence of the between-day effect, as expected, which would force us to decide case by case which equation to employ. In order to avoid such conflicts, a metrological perspective approach is discussed under the intermediate precision condition of measurement.     

Determination of Tetrandrine in Rat Whole Blood by RP-LC and Its Application to Pharmacokinetic Studies

A simple, specific and sensitive RP-LC method was developed and validated for the determination of tetrandrine in rat whole blood for the first time. Chromatographic separation was performed on a Welchrom^TM C18 analytical column at a flow rate of 1.0 mL min^?1, using a mixture of methanol-water containing 0.6% triethylamine and 0.16% phosphoric acid as mobile phase. The wavelength for UV detection was set at 225 nm. Sample preparation involved a liquid-liquid extraction using n-hexane. The calibration curve was linear with r ² > 0.99 over a concentration range of 0.03?C6.4 ??g mL^?1 in rat whole blood with a lower limit of quantification of 0.03 ??g mL^?1. The intra- and inter-day precisions were 1.33?C4.55 and 3.33?C4.65%, respectively, and the intra- and inter-day accuracy ranged from ?5.24 to 0.90% and ?1.05 to 0.63%, respectively. No endogenous compounds were found to interfere with the analytes. Tetrandrine was stable for 8 h at room temperature, 24 h at 4 °C in rat whole blood, and for 30 days at ?20 °C after being prepared. For the first time, the present method was successfully applied to the pharmacokinetic studies of tetrandrine in rats after intravenous administration of three different doses. The results indicated that the pharmacokinetics of tetrandrine on rats was a first-order process.     

LC–APCI–MS–MS for the Determination of Celastrol in Human Whole Blood

A rapid, sensitive high-performance liquid chromatographic tandem mass spectrometric (HPLC–MS–MS) assay has been developed and validated for the quantitative determination of celastrol in human whole blood using hydrocortisone as an internal standard (I.S.). The celastrol and I.S. were extracted from human whole blood with ethyl acetate. The separation was performed by reversed-phase HPLC using an isocratic mobile phase consisting of 5 mmol L^?1 aqueous ammonium acetate containing 0.05% acetic acid/methanol (25:75, v/v) on a XDB-C₁₈ column (150 mm × 4.6 mm I.D., 5 μm). Detection was by negative atmospheric pressure chemical ionization (APCI) and ion trap tandem mass spectrometry in multiple reaction monitoring (MRM) mode with a transition of m/z 449.4 → 405.1 for celastrol, and 419.2 → 329.1 for I.S. The calibration curve was linear (r ² = 0.9967) in the concentration range of 1.0–200.0 ng mL^?1 in human whole blood with a limit of quantification of 1.0 ng mL^?1. Intra-day and inter-day relative standard deviations (RSDs) were less than 8.5 and 10.1%. The mean extraction recovery was 89.2% for celastrol and 92.6% for I.S. This assay can be used to determine trace celastrol in human whole blood.     

Preparation and characterisation of synthetic mixtures of lithium isotopes

Re-certification of the absolute isotopic composition of the natural lithium isotopic reference material (IRM), IRMM-016, requires measurements calibrated by means of synthetic mixtures of highly enriched lithium isotopes. Ten such mixtures were prepared by weighing and mixing of two well characterised, isotopically enriched, Li₂CO₃ compounds. The starting materials, 99.9981% enriched ⁶Li, and 99.9937% enriched ⁷Li, were purified by ion exchange, and the purified materials converted from LiOH to Li₂CO₃ by reaction with CO₂. Ten new mixtures were prepared by mixing different weighed amounts of these dissolved Li₂CO₃ carrier compounds. The compounds had an estimated level of impurities of 100 ± 100 μg · g^–1 (expanded uncertainty with a coverage factor of 2). In the ten mixtures, the n(⁶Li)/n(⁷Li) ratio varies from 0.025 to 14 and the achieved expanded relative uncertainty on the amount ratio prepared is typically 2 · 10^–4. These mixtures were then used to determine the correction factor, K, for mass discrimination of the measurement procedure and instrument concerned.     

Uncertainty analysis of the microtiter plate method for determining trypsin inhibitor activity

Protease inhibitor activity is frequently measured in legume seeds as protease inhibitors are thought to have anti-nutritional as well as anti-carcinogenic properties. Trypsin inhibitor activity (TIA) can be measured using different methods. The microtiter plate method is very convenient and routinely used; therefore, in this study, we analyzed the measurement uncertainty of the microtiter plate method to understand what affects the measurement results, as well as to compare TIA values obtained by similar and different methods. For uncertainty analysis of TIA measurement, we used the soybean variety ‘Vojvodjanka,’ which is known to have TIA greater than 80 trypsin units inhibited (TUI) per mg of seed. We followed the Guide to the Expression of Uncertainty in Measurement (GUM) for our uncertainty analysis of the microtiter plate method for TIA testing, which we present in the form of an uncertainty budget. Absorbance measurement and preparation of sample reaction mixture took the largest percent (71 %) of overall uncertainty of TIA value. The TIA of soybean variety ‘Vojvodjanka’ was (94.1 ± 8.4) TUI/mg, and this result is consistent with those obtained by other authors. The microtiter plate method is a reliable method for TIA measurement, making seed quality testing more efficient.     

Creatinine determination in urine from the point of view of reference values

In this paper, the creation of a certified reference material for urinary creatinine is described. We used the Jaffe method and HPLC method for establishment of the certified value. Homogeneity tests are also described. We obtained material with sufficient homogeneity, stability, and with certified value (expanded uncertainty, k=2 for CI 95%) (7.77±0.27) mmol·L⁻¹. This material was consequently used for the interlaboratory comparison (EQA Czech Republic for clinical chemistry). Twenty-nine percent of the participants obtained measurement results within the interval of the certified value ± expanded uncertainty, while 85% of the participants obtained values inside the interval of the certified value ± target measurement uncertainty. Direct use of the certified reference materials for method evaluation in EQA programs means a significant advance for monitoring and documentation traceability of results in routine measurements.