Determination of acid dissociation constants, enthalpy, entropy and Gibbs free energy of the baricitinib by the UV-metric and pH-metric analysis.

Baricitinib is a drug used for the treatment of rheumatoid arthritis. It is a selective and reversible inhibitor of Janus kinases 1 and 2, which play an important role in signalling the pro-inflammatory pathway activated in autoimmune disorders such as rheumatoid arthritis. The pH-spectrophotometric and pH-potentiometric titrations allowed the measurement of three or four successive dissociation constants of Baricitinib. Baricitinib neutral LH2 molecule was able to protonate into two soluble cations LH42+, LH3+ and dissociate into two soluble anions LH- and L2- in pure water. The graph of molar absorption coefficients of differently protonated species versus wavelength indicated that the spectra εL, εLH, εLH2 were the nearly the same for these species and that the spectra εLH4 and εLH3 were also similar. In the pH range from 2-13, four pKa´s of spectra analysis were reliably estimated by REACTLAB at I =0.0020 mol. dm-3 values pKTa1 = 3.07, pKTa2 = 3.87, pKTa3 = 6.27, pKTa4 = 12.78 at 25 °C and pKTa1 = 3.00, pKTa2 = 3.79, pKTa3 = 6.12, pKTa4 = 12.75 at 37 °C. Potentiometric pH-titration analysis for a higher concentration of 1 × 10-3 mol. dm-3 estimated with ESAB at I =0.0001 mol. dm-3 values pKTa1 = 3.69, pKTa2 = 3.81, pKTa3 = 4.73 at 25 °C and pKTa1 = 3.62, pKTa2 = 3.73, pKTa3 = 4.43 at 37 °C. Molar enthalpy ΔH°, molar entropy ΔS° and Gibbs free energy ΔG° were calculated from the spectra using a dependence ln K to 1/T.

The effect of fatty acids in red blood cell membranes on the dynamics of inflammatory markers following the coronary stent implantation.

The effect of 20 fatty acids in erythrocyte cell membranes on the extent of inflammatory response and cell oxidative stress was evaluated using multidimensional statistical data analysis in 54 patients suffering from ischemic heart disease undergoing percutaneous coronary intervention with coronary stent implantation using multidimensional statistical data analysis. A systemic inflammatory response was indicated by an increase of C-reactive protein (CRP), serum amyloid A (SAA) and ceruloplasmin 48 h after stent implantation and by an increase of interleukin-6 (IL-6) 24 h after intervention. The increase of malondialdehyde (MDA) after 48 h was used as a marker of cell damage by oxidative stress. Multiple linear regression revealed statistically significant relationships between concentration of some fatty acids and the magnitude of inflammatory response, or oxidative stress, after stent implantation. The most significant relationship with an increase of plasma CRP was found for myristic acid and, to a lesser extent, for oleic acid. Trans octadecenoic acid, and to a lesser extent palmitooleic and nervonic fatty acids were found in inverse correlation with the CRP increase. The increase of IL-6 showed a statistically significant correlation with myristic acid, to a lesser extent with cis-9-eicosenoic acid and to the least extent with docosahexaenoic acid, inversely with pentadecanoic, γ-linolenic and stearic acids. An increase of oxidative stress (MDA) significantly correlated only with γ-linolenic acid. Other studied markers of inflammatory response to coronary stenting were SAA and ceruloplasmin (Cp). Statistical evaluation revealed that SAA and Cp are not suitable markers for assessment relationships between inflammation and erythrocyte membrane fatty acids.

Multiwavelength UV-metric and pH-metric determination of the multiple dissociation constants of the lesinurad.

Potentiometric and spectrophotometric pH-titrations of the lesinurad for three consecutive dissociation constants determination were compared. Lesinurad is a selective inhibitor of uric acid reabsorption as part of a combination of medicines to treat high levels of uric acid in blood, also called hyperuricemia. Nonlinear regression of the pH-spectra with REACTLAB and SQUAD84 and of the pH-titration curve with ESAB determined three multiple close dissociation constants. The protonation scheme of lesinurad was suggested. A sparingly soluble anion L- of lesinurad was protonated to the still soluble species LH, LH2+ and LH32+ in pure water. Three consecutive thermodynamic dissociation constants were estimated pKTa1 = 2.09, pKTa2 = 4.25, pKTa3 = 6.58 at 25 °C and pKTa1 = 1.96, pKTa2 = 4.16, pKTa3 = 6.32 at 37 °C by UV-metric spectra analysis. The graph of molar absorption coefficients shows that the spectrum of species LH2+ and LH vary in colour, while protonation of chromophore LH2+ to LH32+ has less influence on chromophores in the lesinurad molecule. Three multiple thermodynamic dissociation constants of 1 × 10-4 M lesinurad were determined by the pH-metric analysis pKTa1 = 2.39, pKTa2 = 3.47, pKTa3 = 6.17 at 25 °C and pKTa1 = 2.08, pKTa2 = 3.29, pKTa3 = 6.03 at 37 °C. The values of enthalpy ΔH0(pKa1) = 19.19 kJ mol-1, ΔH0(pKa2) = 13.29 kJ mol-1, ΔH0(pKa3) = 38.39 kJ mol-1, show the dissociation process is endothermic. The positive values of ΔG0(pKa1) = 11.93 kJ mol-1, ΔG0(pKa2) = 24.26 kJ mol-1, ΔG0(pKa3) = 37.56 kJ mol-1 at 25 °C indicate that the dissociation process of pKa2 is not spontaneous, which was confirmed by its value of entropy ΔS0(pKa1) = 24.37 J mol-1, ΔS0(pKa2) = -36.79 J mol-1, ΔS0(pKa3) = 2.79 J mol-1. Three macro-dissociation constants of lesinurad and protonation locations were predicted by MARVIN and ACD/Percepta.

Inflammatory markers in dependence on the plasma concentration of 37 fatty acids after the coronary stent implantation.

Using the regression model building the relationships between the concentration of 37 fatty acids of blood plasma phospholipids of 41 patients with coronary artery disease after coronary stent implantation, the inflammatory response and oxidative stress markers were estimated. The dynamics of the inflammatory response and the oxidative stress was indicated by measuring plasma concentrations of highly sensitive C-reactive protein, interleukin-6, serum amyloid A and malondialdehyde before, 24h after stent implantation. The multiple linear regression analysis was preceded by an exploratory data analysis, principal component analysis, factor analysis and cluster analysis, which proved a hidden internal relation of 37 fatty acids. The concentration of cerotic acid (C26:0) has been positively associated with an increase of malondialdehyde concentration after stent implantation, while the concentrations of tetracosatetraenoic (C24:4 N6) and nonadecanoic (C19:0) acids were associated with decrease of lipoperoxidation. The increase of interleukin-6 during the 24h after implantation was associated with higher levels of pentadecanoic acid (C15:0) and lower levels of α-linolenic acid (C18:3 N3). Regression models found several significant fatty acids at which the strength of the parameter ß for each fatty acid on selected markers of C-reactive protein, malondialdehyde, interleukin-6 and serum amyloid A was estimated. Parameter ß testifies to the power of the positive or negative relationship of the fatty acid concentration on the concentration of selected markers. The influencing effect of the cerotic acid (C26:0) concentration in plasma phospholipids exhibiting parameter ß=140.4 is, for example, 3.5 times higher than this effect of n-3 tetracosapentaenoic acid (C24:5 N3) with ß=40.0. Composition of fatty acids in plasma phospholipids shows spectrum of fatty acids available for intercellular communication in systemic inflammatory response of organism and should affect clinical outcomes.

Fast gradient HPLC/MS separation of phenolics in green tea to monitor their degradation.

The degradation of catechins and other phenolics in green tea infusions were monitored using fast HPLC/MS separation. The final separation was performed within 2.5min using Ascentis Express C18 column (50mm×2.1mm i.d.) packed with 2µm porous shell particles. Degradation was studied in relation to the temperature of water (70, 80, 90°C) and the standing time of the infusion (up to 6h). Along with chromatographic separation, the antioxidant properties of the infusions were monitored using two spectrophotometric methods. During staying of green tea infusion, the degradation of some catechins probably to gallic acid was observed. Finally, the influence of tea bag storage on antioxidant properties of green tea was evaluated. Rapid degradation of antioxidants after 3weeks was observed. The principal component analysis, factor analysis and discriminant analysis were used for the statistical evaluation of obtained experimental data.

The dissociation constants of the cytostatic bosutinib by nonlinear least-squares regression of multiwavelength spectrophotometric and potentiometric pH-titration data.

Potentiometric and spectrophotometric pH-titration of the multiprotic cytostatics bosutinib for dissociation constants determination were compared. Bosutinib treats patients with positive chronic myeloid leukemia. Bosutinib exhibits four protonatable sites in a pH range from 2 to 11, where two pK are well separated (ΔpK>3), while the other two are near dissociation constants. In the neutral medium, bosutinib occurs in the slightly water soluble form LH that can be protonated to the soluble cation LH4(3+). The molecule LH can be dissociated to still difficultly soluble anion L(-). The set of spectra upon pH from 2 to 11 in the 239.3-375.0nm was divided into two absorption bands: the first one from 239.3 to 290.5nm and the second from 312.3 to 375.0nm, which differ in sensitivity of chromophores to a pH change. Estimates of pK of the entire set of spectra were compared with those of both absorption bands. Due to limited solubility of bosutinib the protonation in a mixed aqueous-methanolic medium was studied. In low methanol content of 3-6% three dissociation constants can be reliably determined with SPECFIT/32 and SQUAD(84) and after extrapolation to zero content of methanol they lead to pKc1=3.43(12), pKc2=4.54(10), pKc3=7.56(07) and pKc4=11.04(05) at 25°C and pKc1=3.44(06), pKc2=5.03(08) pKc3=7.33(05) and pKc4=10.92(06) at 37°C. With an increasing content of methanol in solvent the dissociation of bosutinib is suppressed and the percentage of LH3(2+) decreases and LH prevails. From the potentiometric pH-titration at 25°C the concentration dissociation constants were estimated with ESAB pKc1=3.51(02), pKc2=4.37(02), pKc3=7.97(02) and pKc4=11.05(03) and with HYPERQUAD: pKc1=3.29(12), pKc2=4.24(10), pKc3=7.95(07) and pKc4=11.29(05).

Steroid profiling in pregnancy: a focus on the human fetus.

In this review we focused on steroid metabolomics in human fetuses and newborns and its role in the physiology and pathophysiology of human pregnancy and subsequent stages of human life, and on the physiological relevance of steroids influencing the nervous systems with regards to their concentrations in the fetus. Steroid profiling provides valuable data for the diagnostics of diseases related to altered steroidogenesis in the fetal and maternal compartments and placenta. We outlined a potential use of steroid metabolomics for the prediction of reproductive disorders, misbalance of hypothalamic-pituitary-adrenal axis, and impaired insulin sensitivity in subsequent stages of human life. A possible role of steroids exhibiting a non-genomic effect in the development of gestational diabetes and in the neuroprotection via negative modulation of AMPA/kainate receptors was also indicated. Increasing progesterone synthesis and catabolism, declining production of tocolytic 5ß-pregnane steroids, and rising activities of steroid sulfotransferases with the approaching term may be of importance in sustaining pregnancy. An increasing trend was demonstrated with advancing gestation toward the production of ketones (and 3ß-hydroxyl groups in the case of 3α-hydroxy-steroids) was demonstrated in the fetus on the expense of 3α-hydroxy-, 17ß-hydroxy-, and 20α-hydroxy-groups weakening in the sequence C17, C3, and C20. There was higher production of active progestogen but lower production of active estrogen and GABAergic steroids with the approaching term. Rising activities of placental CYP19A1 and oxidative isoforms of HSD17B, and of fetal CYP3A7 with advancing gestation may protect the fetus from hyperestrogenization. This article is part of a Special Issue entitled 'Pregnancy and Steroids'.

Reliability of dissociation constants and resolution capability of SQUAD(84) and SPECFIT/32 in the regression of multiwavelength spectrophotometric pH-titration data.

The resolving power of multicomponent spectral analysis and the computation reliability of the stability constants and molar absorptivities determined for five variously protonated anions of physostigmine salicylate by the SQUAD(84) and SPECFIT/32 programs has been examined with the use of simulated and experimental spectra containing overlapping spectral bands. The reliability of the dissociation constants of drug was proven with goodness-of-fit tests and by examining the influence of pre-selected noise level s(inst)(A) in synthetic spectra regarding the precision s(pK) and also accuracy of the estimated dissociation constants. Precision was examined as the linear regression model s(pK)=ß(0)+ß(1)s(inst)(A). In all cases the intercept ß(0) was statistically insignificant. When an instrumental error s(inst)(A) is small and less than 0.5 mAU, the parameters' estimates are nearly the same as the bias ΔpK=pK(a,calc)-pK(a,true) is quite negligible. In all four dissociation constants the bias seems to be quite small even though for pK(a4) it is a little bit higher, i.e., +0.05 for s(inst)(A) about 1.0 mAU. In the interval of s(inst)(A) from 0.1 to 1.0 mAU all four dissociation constants pK(i) are accurate enough. Of the various regression diagnostics considered, the goodness-of-fit is the most efficient criterion of whether the parameters found adequately represent the data. The magnitude of instrumental error s(inst)(A) only slightly affects the shape of a Cattel's scree graph s(k)(A)=f(k) to determine the true number of light-absorbing species in the equilibrium mixture.

Brief evaluation of pleasantness of olfactory and trigeminal stimulants.

OBJECTIVE: To evaluate a brief olfactory test based on pleasantness rating of olfactory and trigeminal stimulants. DESIGN: Criterion standard. SETTING: University hospital. PARTICIPANTS: A total of 60 participants (48 healthy and 12 with olfactory loss) aged 16 to 81 years. INTERVENTIONS: The new test of odor pleasantness (TOP) based on classification of odorants and trigeminal stimulants into 4 categories was compared with 2 standard tests of subjective olfactometry. MAIN OUTCOME MEASURE: We evaluated the possible use of the TOP in assessment of olfactory and the trigeminal system in healthy individuals and those with olfactory loss. RESULTS: All 3 tests demonstrated significant mutual correlation (P < .01), and persons with olfactory loss scored lower than healthy participants (P < .01). Using exploratory factor analysis and cluster analysis, we found that healthy individuals classified odorants accurately according to the degree of their hedonic character. CONCLUSION: The TOP offers outcomes similar to those of standard tests of olfaction that are based on psychophysical testing.

Steroid metabolome in plasma from the umbilical artery, umbilical vein, maternal cubital vein and in amniotic fluid in normal and preterm labor.

The boost in placental production of CRH in late pregnancy is specific for human. CRH receptors are expressed in the fetal zone of the fetal adrenal (FZFA). Hence, we evaluated the associations between the steroid metabolome and gestational age (GA). The levels of 69 steroids and steroid polar conjugates such as 3beta-hydroxy-5-ene steroids (3betaOH5S), 3-oxo-4-ene steroids (3O4S), progesterone 5alpha/beta-reduced metabolites, 20alpha-hydroxy-metabolites of C21 steroids, C19 5alpha/beta-reduced metabolites, 7alpha/beta-hydroxy-metabolites of 3betaOH5S, estrogens and 16alpha-hydroxy-metabolites of 3betaOH5S and 3O4S, were measured by GC-MS in plasma from the umbilical artery (UA), umbilical vein (UV), and maternal cubital vein (MV) and in amniotic fluid (AF) in 12 women at normal labor and 38 women at preterm labor due to pathologies unrelated to steroid status. Using multivariate regression, prediction models for GA were completed for the individual body fluids. The conjugated 3betaOH5S (the key products of the FZFA), estrogens, some polar conjugates of progesterone 5alpha/beta-reduced metabolites and some steroid 7alpha/beta- and 16alpha-hydroxy-metabolites showed strong positive correlations with the GA. The predictivity decreased in the following sequence UV (R=0.950), UA (R=0.945), MV (R=0.895), and AF (R=0.891). Although the predictivity of steroids in maternal blood was slightly less effective when compared with the UV and UA, it was the best solution for further practice.

Inverse correlation between plasma Beta-carotene and interleukin-6 in patients with advanced coronary artery disease.

The interrelationships between plasma beta-carotene, alpha-tocopherol, and the level of systemic inflammation and oxidative stress were investigated in patients with advanced coronary artery disease (CAD). Plasma beta-carotene, alpha-tocopherol, malondialdehyde, free radicals, interleukin-6, high sensitive C-reactive protein levels, and other risk factors of CAD were determined in a group of patients with advanced CAD [significant stenosis according to coronarographic examination (n=91) and a control group of examined patients with coronary arteries with no stenosis (n=49)]. Between-group differences in continuous variables were analyzed with the Hotelling T2-test (software NCSS2000), analyses of correlation matrix with the software STATISTICA. Advanced CAD coincided with significantly lower plasma concentrations of high-density lipoprotein (HDL)-cholesterol and beta-carotene as well as with elevated levels of all inflammatory markers, but only with mild increase of oxidative stress. Beta-carotene significantly inversely correlated with interleukin-6. This inverse correlation could suggest potential protective effect of beta-carotene on atherosclerosis due to the inhibition of inflammatory processes.

Minimizing the effects of multicollinearity in the polynomial regression of age relationships and sex differences in serum levels of pregnenolone sulfate in healthy subjects.

BACKGROUND: Pregnenolone sulfate (PregS) is known as a steroid conjugate positively modulating N-methyl-D-aspartate receptors on neuronal membranes. These receptors are responsible for permeability of calcium channels and activation of neuronal function. Neuroactivating effect of PregS is also exerted via non-competitive negative modulation of GABA(A) receptors regulating the chloride influx. Recently, a penetrability of blood-brain barrier for PregS was found in rat, but some experiments in agreement with this finding were reported even earlier. It is known that circulating levels of PregS in human are relatively high depending primarily on age and adrenal activity. METHODS: Concerning the neuromodulating effect of PregS, we recently evaluated age relationships of PregS in both sexes using polynomial regression models known to bring about the problems of multicollinearity, i.e., strong correlations among independent variables. Several criteria for the selection of suitable bias are demonstrated. Biased estimators based on the generalized principal component regression (GPCR) method avoiding multicollinearity problems are described. RESULTS: Significant differences were found between men and women in the course of the age dependence of PregS. In women, a significant maximum was found around the 30th year followed by a rapid decline, while the maximum in men was achieved almost 10 years earlier and changes were minor up to the 60th year. The investigation of gender differences and age dependencies in PregS could be of interest given its well-known neurostimulating effect, relatively high serum concentration, and the probable partial permeability of the blood-brain barrier for the steroid conjugate. CONCLUSIONS: GPCR in combination with the MEP (mean quadric error of prediction) criterion is extremely useful and appealing for constructing biased models. It can also be used for achieving such estimates with regard to keeping the model course corresponding to the data trend, especially in polynomial type regression models.

Precision limits and interval estimation in the calibration of 1-hydroxypyrene in urine and hexachlorbenzene in water, applying the regression triplet procedure on chromatographic data.

A method for the determination of 1-hydroxypyrene in urine and hexachlorbenzene in water applying the regression triplet in the calibration procedure of chromatographic data has been applied. The detection limit and quantification limit are currently calculated on the basis of the standard deviation of replicate analyses at a single concentration. However, since the standard deviation depends on concentration, these single-concentration techniques result in limits that are directly dependent on spiking concentration. A more rigorous approach requires first careful attention to the three components of the regression triplet (data, model, method), examining (1) the data quality of the proposed model, (2) the model quality and (3) the least-squares method to be used for fulfilment of all least-squares assumptions. For high-performance liquid chromatography determination of 1-hydroxypyrene in urine and gas chromatography analysis of hexachlorbenzene in water, this paper describes the effects of deviations from five basic assumptions The paper considers the correction of deviations: identifying influential points, namely, outliers, the calibration task depends on the regression model used, and the least-squares method is based on the assumptions of the normality of the errors, homoscedasticity and the independence of errors. Results show that the approach developed provides improved estimates of analytical limits and that the single-concentration approaches currently in wide use are seriously flawed.

Evaluation of oxidative stress and inflammation in obese adults with metabolic syndrome.

BACKGROUND: Obesity and metabolic syndrome increase the risk of cardiovascular morbidity and mortality. Oxidative stress seems to be involved in the pathophysiology of diabetes and cardiovascular complications of metabolic syndrome. The aim of our study was to evaluate the level of oxidative stress and inflammation in obese adults with and without metabolic syndrome. METHODS: Oxidative stress and inflammation markers (total amount of free radicals, malondialdehyde, allantoin, alpha1-antiproteinase, oxidized/reduced glutathione ratio, high-sensitive C-reactive protein, fibrinogen), total antioxidant capacity and lipid standardized alpha-tocopherol were determined in obese subjects fulfilling at least three criteria of metabolic syndrome according to the National Cholesterol Education Program-Adult Treatment Panel III guidelines (n=20 patients), in obese subjects without metabolic syndrome (n=20 patients) and in 48 healthy controls. RESULTS: Oxidative stress and inflammation markers were significantly elevated in the obese subjects, especially in those exhibiting metabolic syndrome. According to multidimensional statistical analysis, oxidative stress was independently related to triacylglyceride concentration, abdominal fat, low high-density lipoprotein cholesterol and low lipid standardized alpha-tocopherol in the patients with metabolic syndrome. CONCLUSIONS: High levels of free radicals together with low antioxidant capacity detected in obese adults indicate elevated oxidative stress, which is--together with systemic inflammation--further potentiated in the case of obese patients with metabolic syndrome. This imbalance in oxidative/antioxidative status and subclinical inflammatory state leads to higher risk of atherosclerotic and diabetic complications.

The thermodynamic dissociation constants of four non-steroidal anti-inflammatory drugs by the least-squares nonlinear regression of multiwavelength spectrophotometric pH-titration data.

The mixed dissociation constants of four non-steroidal anti-inflammatory drugs (NSAIDs) ibuprofen, diclofenac sodium, flurbiprofen and ketoprofen at various ionic strengths I of range 0.003-0.155, and at temperatures of 25 degrees C and 37 degrees C, were determined with the use of two different multiwavelength and multivariate treatments of spectral data, SPECFIT/32 and SQUAD(84) nonlinear regression analyses and INDICES factor analysis. The factor analysis in the INDICES program predicts the correct number of components, and even the presence of minor ones, when the data quality is high and the instrumental error is known. The thermodynamic dissociation constant pK(a)(T) was estimated by nonlinear regression of (pK(a), I) data at 25 degrees C and 37 degrees C. Goodness-of-fit tests for various regression diagnostics enabled the reliability of the parameter estimates found to be proven. PALLAS, MARVIN, SPARC, ACD/pK(a) and Pharma Algorithms predict pK(a) being based on the structural formulae of drug compounds in agreement with the experimental value. The best agreement seems to be between the ACD/pK(a) program and experimentally found values and with SPARC. PALLAS and MARVIN predicted pK(a,pred) values with larger bias errors in comparison with the experimental value for all four drugs.

Benchmarking and validating algorithms that estimate pK(a) values of drugs based on their molecular structures.

The REGDIA regression diagnostics algorithm in S-Plus is introduced in order to examine the accuracy of pK(a) predictions made with four updated programs: PALLAS, MARVIN, ACD/pKa and SPARC. This report reviews the current status of computational tools for predicting the pK(a) values of organic drug-like compounds. Outlier predicted pK(a) values correspond to molecules that are poorly characterized by the pK(a) prediction program concerned. The statistical detection of outliers can fail because of masking and swamping effects. The Williams graph was selected to give the most reliable detection of outliers. Six statistical characteristics (F(exp), R(2), R(P)(2), MEP, AIC, and s(e) in pK(a) units) of the results obtained when four selected pK(a) prediction algorithms were applied to three datasets were examined. The highest values of F(exp), R(2), R(P)(2), the lowest values of MEP and s(e), and the most negative AIC were found using the ACD/pK (a) algorithm for pK(a) prediction, so this algorithm achieves the best predictive power and the most accurate results. The proposed accuracy test performed by the REGDIA program can also be applied to test the accuracy of other predicted values, such as log P, log D, aqueous solubility or certain physicochemical properties of drug molecules.

The thermodynamic dissociation constants of the anticancer drugs camptothecine, 7-ethyl-10-hydroxycamptothecine, 10-hydroxycamptothecine and 7-ethylcamptothecine by the least-squares nonlinear regression of multiwavelength spectrophotometric pH-titration data.

The mixed dissociation constants of four anticancer drugs--camptothecine, 7-ethyl-10-hydroxycamptothecine, 10-hydroxycamptothecine and 7-ethylcamptothecine, including diprotic and triprotic molecules at various ionic strengths I of range 0.01 and 0.4, and at temperatures of 25 and 37 degrees C--were determined with the use of two different multiwavelength and multivariate treatments of spectral data, SPECFIT32 and SQUAD(84) nonlinear regression analyses and INDICES factor analysis. A proposed strategy for dissociation constants determination is presented on the acid-base equilibria of camptothecine. Indices of precise modifications of the factor analysis in the program INDICES predict the correct number of components, and even the presence of minor ones, when the data quality is high and the instrumental error is known. The thermodynamic dissociation constant pK(a)(T) was estimated by nonlinear regression of {pK(a), I} data at 25 and 37 degrees C: for camptothecine pK(a,1)(T)=2.90(7) and 3.02(8), pK(a,2)(T)=10.18(30) and 10.23(8); for 7-ethyl-10-hydroxycamptothecine, pK(a,1)(T)=3.11(2) and 2.46(6), pK(a,2)(T)=8.91(4) and 8.74(3), pK(a,3)(T)=9.70(3) and 9.47(8); for 10-hydroxycamptothecine pK(a,1)(T)=2.93(4) and 2.84(5), pK(a,2)(T)=8.93(2) and 8.92(2), pK(a,3)(T)=9.45(10) and 9.98(4); and for 7-ethylcamptothecine pK(a,1)(T)=3.10(4) and 3.30(16), pK(a,2)(T)=9.94(9) and 10.98(18). Goodness-of-fit tests for various regression diagnostics enabled the reliability of the parameter estimates found to be proven. Pallas and Marvin predict pK(a) being based on the structural formulae of drug compounds in agreement with the experimental value.

Reliability and uncertainty in the estimation of pKa by least squares nonlinear regression analysis of multiwavelength spectrophotometric pH titration data.

When drugs are poorly soluble then, instead of the potentiometric determination of dissociation constants, pH-spectrophotometric titration can be used along with nonlinear regression of the absorbance response surface data. Generally, regression models are extremely useful for extracting the essential features from a multiwavelength set of data. Regression diagnostics represent procedures for examining the regression triplet (data, model, method) in order to check (a) the data quality for a proposed model; (b) the model quality for a given set of data; and (c) that all of the assumptions used for least squares hold. In the interactive, PC-assisted diagnosis of data, models and estimation methods, the examination of data quality involves the detection of influential points, outliers and high leverages, that cause many problems when regression fitting the absorbance response hyperplane. All graphically oriented techniques are suitable for the rapid estimation of influential points. The reliability of the dissociation constants for the acid drug silybin may be proven with goodness-of-fit tests of the multiwavelength spectrophotometric pH-titration data. The uncertainty in the measurement of the pK (a) of a weak acid obtained by the least squares nonlinear regression analysis of absorption spectra is calculated. The procedure takes into account the drift in pH measurement, the drift in spectral measurement, and all of the drifts in analytical operations, as well as the relative importance of each source of uncertainty. The most important source of uncertainty in the experimental set-up for the example is the uncertainty in the pH measurement. The influences of various sources of uncertainty on the accuracy and precision are discussed using the example of the mixed dissociation constants of silybin, obtained using the SQUAD(84) and SPECFIT/32 regression programs.

Number of species in complexation equilibria of o-, m- and p-CAPAZOXS with Cd2+, Co2+, Ni2+, Pb2+ and Zn2+ ions by PCA of UV-vis spectra.

A critical comparison of the selected derivative principal component analysis (PCA) methods on the absorbance matrix data concerning the complexation equilibria between o-CAPAZOXS and Cd(2+), Pb(2+) and Zn(2+) or m-CAPAZOXS and Cd(2+), Co(2+), Ni(2+) and Zn(2+) or p-CAPAZOXS and Cd(2+) and Zn(2+) at 25 degrees C is provided. As the number of complex species in a complex-forming equilibria mixture is an important step in spectral data treatment, the nine selected index functions for the prediction of the number of light-absorbing species that contribute to a set of spectra is critically tested by the PCA. An improved identification with the second SD(AE) or third derivative TD(AE) and derivative ratio function ROD(AE) for the average error criterion AE is preferred. After the number of various complexes formed the stability constants of species ML, ML(2) (and ML(3), respectively) type log beta(11), log beta(12) (and log beta(13), respectively) for the system of o-CAPAZOXS (ligand L) with the metals (the standard deviation s(log beta(pq)) of the last valid digits is given in brackets) Cd(2+) (6.39(5) and 11.51(9)), Pb(2+) (4.24(2) and 9.01(2)) and Zn(2+) (5.18(7) and 9.06(10)) and for the system of m-CAPAZOXS with Cd(2+) (6.59(20) and 11.51(32)), Co(2+) (7.19(6) and 12.19(8)), Ni(2+) (7.64(7) and 13.39(12)) and Zn(2+) (4.83(3) and 9.57(3)) and for the system of p-CAPAZOXS with Cd(2+) (6.44(5), 10.99(10) and 14.57(25)) and Zn(2+) (6.84(16), 13.05(29) and 18.74(43)) at 25 degrees C are estimated using SQUAD(84) nonlinear regression of the mole-ratio spectrophotometric data. The computational strategy is presented with goodness-of-fit tests and various regression diagnostics capable of proving the reliability of the chemical model proposed.

Tutorial on a chemical model building by least-squares non-linear regression of multiwavelength spectrophotometric pH-titration data.

Although the modern instrumentation enables for the increased amount of data to be delivered in shorter time, computer-assisted spectra analysis is limited by the intelligence and by the programmed logic tool applications. Proposed tutorial covers all the main steps of the data processing which involve the chemical model building, from calculating the concentration profiles and, using spectra regression, fitting the protonation constants of the chemical model to multiwavelength and multivariate data measured. Suggested diagnostics are examined to see whether the chemical model hypothesis can be accepted, as an incorrect model with false stoichiometric indices may lead to slow convergence, cyclization or divergence of the regression process minimization. Diagnostics concern the physical meaning of unknown parameters beta(qr) and epsilon(qr), physical sense of associated species concentrations, parametric correlation coefficients, goodness-of-fit tests, error analyses and spectra deconvolution, and the correct number of light-absorbing species determination. All of the benefits of spectrophotometric data analysis are demonstrated on the protonation constants of the ionizable anticancer drug 7-ethyl-10-hydroxycamptothecine, using data double checked with the SQUAD(84) and SPECFIT/32 regression programs and with factor analysis of the INDICES program. The experimental determination of protonation constants with their computational prediction based on a knowledge of chemical structures of the drug was through the combined MARVIN and PALLAS programs. If the proposed model adequately represents the data, the residuals should form a random pattern with a normal distribution N(0, s2), with the residual mean equal to zero, and the standard deviation of residuals being near to experimental noise. Examination of residual plots may be assisted by a graphical analysis of residuals, and systematic departures from randomness indicate that the model and parameter estimates are not satisfactory.