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Article

High-Performance Liquid Chromatography–Diode Array Detection Combined with Chemometrics for Simultaneous Quantitative Analysis of Five Active Constituents in a Chinese Medicine Formula Wen-Qing-Yin

State Key Laboratory of Chemo/Biosensing and Chemometrics, College of Chemistry and Chemical Engineering, Hunan University, Changsha 410082, China
*
Authors to whom correspondence should be addressed.
Chemosensors 2022, 10(7), 238; https://doi.org/10.3390/chemosensors10070238
Submission received: 24 May 2022 / Revised: 16 June 2022 / Accepted: 21 June 2022 / Published: 23 June 2022
(This article belongs to the Special Issue Chemometrics for Analytical Chemistry)

Abstract

:
In this work, a simple analytical strategy combining high-performance liquid chromatography–diode array detection (HPLC-DAD) and the chemometric method was developed for the simultaneous quantification of 5-hydroxymethyl-2-furfural (HMF), paeoniflorin (PAE), ferulic acid (FER), baicalin (BAI), and berberine (BER) in a Chinese medicine formula Wen-Qing-Yin (WQY). The alternating trilinear decomposition (ATLD) algorithm and alternating trilinear decomposition assisted multivariate curve resolution (ATLD-MCR) algorithm were used to realize the separation and rapid determination of five target analytes under the presence of time shifts, solvent peaks, peak overlaps, and unknown interferences. All analytes were eluted within 10 min and the linear correlation coefficients of calibration sets were between 0.9969 and 0.9996. In addition, the average recoveries of the five active compounds obtained by ATLD and ATLD-MCR analysis were in the range of 91.8–112.5% and 88.6–101.6%, respectively. For investigating the accuracy and reliability of the proposed method, figures of merit including limit of detection (LOD), limit of quantitation (LOQ), sensitivity (SEN), and selectivity (SEL) were calculated. The proposed analytical strategy has the advantages of being fast, simple, and sensitive, and can be used for the qualitative and quantitative analysis of WQY, providing a feasible option for the quality monitoring of the traditional Chinese medicine formula.

Graphical Abstract

1. Introduction

Traditional Chinese medicine (TCM) is mainly derived from natural medicines such as herbal medicine and its processed products have attracted wide attention due to their low toxicity and good curative effect. TCM contains multiple components, and the content of active components will affect its quality and effectiveness. Therefore, it is very important to develop appropriate methods to monitor the content of active constituents in TCM.
Wen-Qing-Yin (WQY) is a traditional Chinese medicine formula, which is composed of Huang Lian Jie Du Tang and Si Wu Tang, including Radix Angelicae Sinensis, Radix Paeoniae Alba, Radix Rehmanniae Praeparata, Rhizoma Chuanxiong, Rhizoma Coptidis, Radix Scutellaria, Cortex Phellodendri, and Fructus Gardeniae. According to previous research, alkaloids, flavonoids, terpene glycosides, and iridoid glycosides are the predominant constituents in Wen-Qing-Yin [1,2]. The study found that there is anti-oxidation [3,4,5], anti-ulcer [6,7,8], anti-inflammatory [9,10,11,12], anti-microbial [13,14,15], and anti-cancer [16,17,18] activity for the treatment of gynecological bleeding disorders, skin diseases, recurrent aphthous ulcer, etc. [19]. At present, many quantitative methods have been developed for simultaneously determining active constituents in TCM, including ultra-high-performance liquid chromatography, high-performance liquid chromatography (HPLC), and capillary electrophoresis in combination with MS, diode array detector, or UV, etc. [20,21,22,23,24].
Among these methods, high-performance liquid chromatography–diode array detection (HPLC-DAD) is the most widely used, with excellent separation ability and great stability. However, due to the similar and complex structure of TCM, traditional HPLC methods usually require complex sample pretreatment for the complete separation of target analytes and to avoid background interference. It takes a lot of time to optimize experimental conditions and requires longer elution time; also, the background interference of actual samples is ever-changing. At the same time, baseline shifts and time shifts will affect the accuracy of the analysis results.
5-hydroxymethyl-2-furfural (HMF), paeoniflorin (PAE), ferulic acid (FER), baicalin (BAI), and berberine (BER) are the indicator components of WQY [3,25,26,27,28,29]; the specific physicochemical information of five analytes is shown in Table S1. At present, there are few reports on simultaneous quantitative analysis of these compounds. According to the published literature, a chromatographic analysis takes more than 30 min [30,31], which is very time-consuming. Therefore, it is urgent to find a more efficient analysis strategy to solve the aforementioned issues. In recent years, chemometrics multivariate calibration has been widely used in chromatographic analysis. Among them, second-order calibration has successfully and quickly used “mathematical separation” to solve many complex problems. Multiple target analytes can be quantified accurately when various unknown interferences exist, which benefits from the “second-order advantage” of the second-order calibration method [32].
Therefore, two second-order calibration algorithms, alternating trilinear decomposition (ATLD) algorithm and alternating trilinear decomposition assisted multivariate curve resolution (ATLD-MCR) algorithm were combined with HPLC-DAD for simultaneous and rapid determination of the five active constituents in WQY. The proposed strategy reduced complicated separation and purification processes and overcame the interference of time shifts, solvent peaks, and chromatographic peak overlap. Finally, the performances of the two algorithms were briefly compared.

2. Materials and Methods

2.1. Chemicals and Reagents

The analytical standards (≥98.0%) of 5-hydroxymethyl-2-furfural, paeoniflorin, ferulic acid, baicalin, and berberine were purchased from Macklin (Shanghai, China), and the ultrapure water (18.2 MΩ cm) was prepared by Milli-Q water purification system (Millipore, Bedford, MA, USA). HPLC-grade acetonitrile and methanol were supplied by Sigma-Aldrich (St. Louis, MO, USA) and HPLC-grade formic acid was obtained from Thermo Fisher Scientific (Waltham, MA, USA).
An appropriate amount of standard was dissolved in methanol to prepare a stock solution, and then working standard solutions were newly prepared by dilution with methanol to the final concentration of 0.4–2.0 µg mL−1. All stock solutions were kept at 4 °C in the refrigerator until they were utilized.

2.2. Chromatographic Instrument and Conditions

This work was carried out on an LC-20AT liquid chromatographic system (Shimadzu, Japan) equipped with a diode array detector, a 20 μL loop, degasser, and a quaternary pump. The chromatographic separation was performed on a WondaSilTM C18 column (5 μm, 200 mm × 4.6 mm) with the column temperature of 30 °C and the column pressure at 6.7 MPa. The flow rate was set at 1.00 mL min1 and the injection volume was 20 μL. In order to enhance the resolution and improve the peak symmetry, small amounts of formic acid were added to the aqueous phase with the optimal concentration of 1.0 mL L−1. The mobile phase was composed of 0.1% formic acid aqueous solution (solvent A) and acetonitrile solution (solvent B). Under the isocratic elution condition of 30% B, all analytes were eluted within 10 min in isometric elution mode.

2.3. Sample Preparation Procedures

WQY commercial samples were purchased from three different manufacturers, namely Sun Ten Pharmaceutical Co., Ltd. (Taipei, China), Kaiser Pharmaceutical Co., Ltd. (Tainan, China), and Sheng Chang Co., Ltd. (Taipei, China), indicated in the text as Q01 to Q03, respectively. First, 1.00 g WQY powder samples were weighed and dissolved with 10 mL HPLC-grade methanol. Secondly, the mixtures were sonicated for 30 min and left for 12 h to be completely extracted and were then filtered with 0.22 μm nylon filters before HPLC-DAD analysis.
The calibration samples (C01–C08) were prepared by diluting the working solution with pure methanol solution into a 10.0 mL brown volumetric flask. The concentration design of the calibration set adopted the uniform design U8* (85) to minimize the potential co-linear factor. Three spiked prediction samples were prepared by transferring the processed WQY actual sample (manufactured by Sun Ten Pharmaceutical Co., Ltd., Taipei, China) and the appropriate volume of the working solution to a 10 mL volumetric flask and diluting it with methanol. Considering that the concentrations of BAI and BER in the WQY real sample are much higher than the concentrations of HMF, PAE, and FER, the real samples of WQY were added to the predicted samples in two concentrations, diluted 20 times to detect HMF, PAE, and FER (P01–P03), and 50 times to detect BAI and BER (P04-P06). The concentrations of the calibration set samples are shown in Table S2.

2.4. Theory

2.4.1. Trilinear Component Model

For each sample, a two-dimensional data matrix composed of I elution time scan points and J wavelength points can be obtained. After all K samples (including the calibration samples, spiked prediction samples, and real samples) are measured under the same conditions, these two-dimensional data matrices can be stacked in sequence along the sample dimension into a three-way array X (I × J × K). The array X can be represented by a mathematical equation as follows:
x i j k = n = 1 N a i n b j n c k n + e i j k ;         ( i = 1 , , I ; j = 1 , , J ; k = 1 , , K )
N denotes the total number of factors, including analytes of interest, co-eluted interfering compounds, backgrounds, baseline shifts, and noises. xijk is the element of the three-way array X (I × J × K), and it represents the response value of the sample k at elution time i and spectral channel J. ain, bjn, ckn, and eijk are the corresponding elements of normalized chromatographic matrix A (I × N), normalized UV spectral matrix B (J × N), and relative concentration matrix C (K×N) elements and three-way residue array E (I × J × K).

2.4.2. ATLD Algorithm

ATLD algorithm is a universal unconstrained alternating iteration algorithm proposed by Wu et al. in 1996 [33], which is insensitive to the number of factors estimated. It also has the advantage of fast convergence because the trilinear structural model of the sliced matrices is used for calculation [32]. Therefore, ATLD is very suitable for processing large-size data such as HPLC-DAD, LC-MS, and liquid chromatography–fluorescence detection data. When using this algorithm to process second-order chromatographic data, the background information can be fitted by increasing the number of factors, so that the baseline shifts can be eliminated as part of the interference [34]. At the same time, ATLD algorithm can tolerate slight time shifts. However, it is not suitable if the time shifts are serious. ATLD algorithm alternately minimizes the following three objective functions to obtain the qualitative matrixes (A and B) and the relative concentration matrix (C) by using the Moore–Penrose generalized inverse based on singular value decomposition:
σ ( A ) = i = 1 I X i .. B d i a g ( a ( i ) ) C T F 2
σ ( B ) = j = 1 J X . j . C d i a g ( b ( j ) ) A T F 2
σ ( C ) = k = 1 K X .. k A d i a g ( c ( k ) ) B T F 2
Concrete theoretical descriptions and more detailed information on ATLD can be found in relevant Ref. [33]

2.4.3. ATLD-MCR Algorithm

ATLD-MCR algorithm, proposed in 2019 by Wang et al. [35] is a newly published algorithm which can successfully solve the problem of retention time shifts in liquid chromatographic data. The brief principle is: first, ATLD is used to fit the data with time shifts to obtain an approximate value and initial spectra matrix Bini. Then, based on the MCR strategy, the retention time profiles matrix Ak of each sample is obtained through the optimized least square calculation (see Equation (5)). X..k is the slice matrix of each sample. Finally, qualitative information (Ak and B) and quantitative information (C) are obtained by the following equation:
A k = X .. k ( D k B T ) + ( k = 1 , 2 , ... , K )
B = ( k = 1 K X .. k T A k D k ) ( k = 1 K D k A k T A k D k ) 1
c ( k ) = [ ( B T B × A k T A k ) 1 diagm ( A k T X .. k B ) ] T   ( k = 1 , 2 , ... , K )
where + and × denote the Moore–Penrose generalized inverse Hadamard product, respectively; −1 represents the inverse of a matrix; (.) indicates that the diagonal elements of the square matrix in brackets are extracted to form a column vector.

3. Results and Discussion

3.1. General Considerations of the HPLC-DAD Experiment

The spectral profiles and chromatographic profiles of the 6th mixed standard sample (C06) are shown in Figure 1a,c. As can be seen, the five target analytes are completely eluted within 10 min and all the peaks are sharp. However, the chromatographic peaks of HMF and PAE overlap severely when eluted quickly; it seems that there is only one response peak and it is heavily affected by the solvent peak. The peaks of FER and BAI were also co-eluted. Figure 1d shows the elution time profiles at 260 nm for real samples. The unknown compounds or interferences are overlapped with the peaks of the target analytes. It indicates that under the same conditions, it is difficult to obtain satisfactory and universal separation results with the classic HPLC method. However, the combination of HPLC-DAD and the second-order calibration method is good at solving the above problems.
It can be seen from Figure 1b that in the measurement on the same day, no obvious peak shifts and serious time shifts were observed. At the same time, the ATLD algorithm can handle baseline shifts and tolerate slight time shifts [34]. In addition, if the time shifts affect the accuracy of the results, ATLD-MCR algorithm can be used to eliminate this effect.
In order to remove invalid information and achieve better resolution, two different subregions were divided according to the elution time ranges of each sample. HMF and PAE are in the first region, and the second region includes three target analytes, BAI, FER, and BER. In this work, the number of components estimated as N indicates that there are N different signals (including analytes and interference signals) in the selected region. The details of the two three-way subregions are summarized in Table S3.

3.2. Quantification of Five Active Constituents in WQY

As shown in Figure 2 and Figure 3, the normalized chromatograms (a1,a2), normalized spectrograms (b1,b2), and relative concentration profiles (c1,c2) were well-resolved by ATLD and ATLD-MCR algorithms from two three-way subarrays. Even if there is interference of solvent peak, peak overlaps, and unknown components co-eluted, the target information such as pure chromatogram and spectrum of the analyte can be successfully extracted out from the information-rich HPLC-DAD data array. For ATLD and ATLD-MCR algorithms, the resolved chromatographic and spectral profiles of analytes are fairly consistent with corresponding real profiles. Especially for HMF and PAE, satisfactory qualitative results were obtained under similar retention times and interference from solvent peaks.

3.3. Accuracy and Precision

Through the linear regression of the corresponding column in peak heights (relative concentrations C) to the real concentrations of the analytes in calibration samples, the pseudo-univariate calibration curves can be built, and then the absolute concentration of the component of interest in the unknown samples can be obtained by the established linear regression equations. The linear range and regression equation of the target analytes are shown in Table S4 and the prediction results of five target analytes based on ATLD and ATLD-MCR algorithms are summarized in Table 1; also, the detailed spiked concentration and recoveries of the six prediction samples are shown in Table S5.
For ATLD algorithm, the average recoveries of all analytes are in the range of 91.8–112.5% with the SDs less than 9.7%, the correlation coefficients (r) of the analyte prediction between 0.9969 and 0.9993, and root-mean-square errors of predictions (RMSEPs) <4.05 μg mL−1. For ATLD-MCR algorithm, the r values are between 0.9973 and 0.9995 with the RMSEPs less than 3.04 μg mL−1; the average recoveries ranged from 88.6 to 101.6% with the SDs <10.3%. The results obtained are relatively close. The RMSEPs values of ATLD-MCR are small, and all the recoveries are within acceptable ranges, indicating that the predicted concentrations are consistent with the standard concentrations, which are generally satisfactory.

3.4. Repeatability and Reproducibility

In order to investigate the repeatability and reproducibility of the method, intra-day and inter-day precisions (expressed as RSD %) were calculated by analyzing the same batch of WQY real sample three times on the same day and three consecutive days, respectively. Two types of RSDs (n = 3) are summarized in Table 2.
The intra-day and inter-day RSDs obtained by ATLD-MCR are better than ATLD. Especially for BER, the inter-day RSD obtained by ATLD is 40.8% due to the serious time shifts in the measurement on consecutive days (see Figure S1). The first four analytes are eluted quickly, so the slight time drift was eliminated by ATLD algorithm as part of the interference. BER was eluted as the last substance, and the time shifts generated needed to be solved by other algorithms. Fortunately, the retention time shifts in second-order calibration were effectively processed by ATLD-MCR algorithm. In addition, the intra-day RSDs were usually smaller than the inter-day RSDs.

3.5. Analytical Figures of Merit

To evaluate the performances of the proposed analytical methods, figures of merit, including selectivity (SEL), sensitivity (SEN), limit of detection (LOD), and limit of quantitation (LOQ) were calculated and are summarized in Table 2. The mathematical theory of figures of merit has been discussed in detail and will not be repeated here [36]. In this experiment, the SEN values are between 1.04 × 104 and 1.24 × 105 mAu mL μg−1 for ATLD and 7.74 × 103 and 7.93 × 104 mAu mL μg−1 for ATLD-MCR, and the SEL values of each analyte obtained by ATLD and ATLD-MCR are in the range of 0.20–0.56 and 0.13–0.35. It is worth noting that the lower SEL values of the target analytes are due to the severe impact of peak overlaps and unknown interferences. The LOD ranges of ATLD and ATLD-MCR are 0.07–11.67 µg mL−1 and 0.22–4.53 µg mL−1, respectively. As can be seen, the results of LOD values obtained by ATLD are acceptable, except that the LOD of BER is lower than the minimum concentration of the calibration samples, which is due to the influence of time shifts. At the same time, the results obtained by the ATLD-MCR algorithm are reasonable and satisfactory.

3.6. Evaluation of Two Methods

Based on the above discussion, it can be noted from the results of ATLD algorithm and ATLD-MCR that satisfactory results are obtained when the time shifts are relatively light. The two methods are statistically analyzed by using the two-tailed paired t-test. There are significant differences if the p value is less than 0.05. The analysis results summarized in Table S5 show that the p values of HMF, PAE, FER, and BAI are 0.358, 0.258, 0.063, and 0.332, respectively, indicating that there are no significant differences in the results of these four analytes. However, the p value of BER is 0.001 because of the influences of retention time shifts. Other statistical parameters also show that when there are time shifts, ATLD-MCR can obtain better results. In the chromatographic analysis, when the elution time is short enough and the retention time shifts are not serious, the ATLD algorithm can be directly used for analysis with good repeatability and reproducibility. In addition, the ATLD-MCR algorithm can handle the impact of retention time shifts well and assisted the HPLC-DAD method to accurately determine the main active constituents in WQY.

3.7. Analysis of the Other WQY Samples

When ATLD algorithm is used to forcibly fit the non-trilinear structural data with retention time shifts, a certain level of accuracy will be the cost [35]. Therefore, we applied the ATLD-MCR strategy to determine the main active constituents in the other two commercial WQY samples. The corresponding results are summarized in Table S6.

4. Conclusions

In this work, a smart strategy based on the combination of HPLC-DAD with the second-order calibration methods was developed to simultaneously and rapidly quantify the five active constituents in WQY. The ability of the two methods to analyze chromatographic data with retention time shifts was properly discussed. The proposed strategy is sensitive and time-saving for the analysis of chromatographic data with slight time shifts, and all target analytes showed good linearity within the calibration range. Moreover, the ATLD-MCR algorithm also properly solved the problem of serious time shifts. This work takes Wen-Qing-Yin as an example, which shows that the proposed strategy can be used as a reliable tool for determining the active constituents and quality monitoring in the formulations of traditional Chinese medicines.

Supplementary Materials

The following supporting information can be downloaded at: https://www.mdpi.com/article/10.3390/chemosensors10070238/s1, Figure S1: The elution time profiles at 260 nm for WQY real sample on three consecutive days; Table S1: The specific physic-chemical information of five analytes; Table S2: Concentrations of five target analytes in calibration samples; Table S3: The ranges of elution time and spectral wavelength in the two subregions for the five target analytes, the number of estimated factors for exact decomposition of the three-way array using the ATLD and ATLD-MCR algorithms; Table S4: The linear range of five target analytes, regression equation and correlative coefficient (r); Table S5: The spiked concentration and recoveries of the six prediction samples and the p values; Table S6: The concentrations of five analytes in another two WQY commercial products obtained from ATLD-MCR method.

Author Contributions

J.-C.C.: conceptualization, methodology, writing—original draft preparation, writing—review and editing. H.-L.W.: conceptualization, methodology, funding acquisition. T.W.: methodology, validation, data curation. M.-Y.D.: validation. Y.C.: investigation. R.-Q.Y.: supervision. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the National Natural Science Foundation of China under Grant (No. 22174036, No. 21775039 and No.21575039).

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Not applicable.

Conflicts of Interest

The authors declare no conflict of interest.

Abbreviations

HPLC-DADhigh performance liquid chromatography-diode array detection
ATLDalternating trilinear decomposition
ATLD-MCRalternating trilinear decomposition assisted multivariate curve resolution
WQYWen-Qing-Yin
TCMtraditional Chinese medicine
RMSEPrelative root mean square error of prediction
SDstandard deviation
RSDrelative standard deviation
SELselectivity
SENsensitivity
LODlimit of detection
LOQlimit of quantitation

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Figure 1. (a) Two−dimensional contour profile of a mixed standard solution (C06); (b) the elution time profiles at 260 nm for eight calibration samples; (c) multi−channel chromatographic profile of a mixed standard solution (C06); (d) the elution time profiles at 260 nm for six predicted samples.
Figure 1. (a) Two−dimensional contour profile of a mixed standard solution (C06); (b) the elution time profiles at 260 nm for eight calibration samples; (c) multi−channel chromatographic profile of a mixed standard solution (C06); (d) the elution time profiles at 260 nm for six predicted samples.
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Figure 2. The normalized chromatograms (a1,a2), the normalized spectrograms (b1,b2), and the relative concentration profiles (c1,c2) resolved by the ATLD algorithm from two three-way subarrays.
Figure 2. The normalized chromatograms (a1,a2), the normalized spectrograms (b1,b2), and the relative concentration profiles (c1,c2) resolved by the ATLD algorithm from two three-way subarrays.
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Figure 3. The normalized chromatograms (a1,a2), the normalized spectrograms (b1,b2), and the relative concentration profiles (c1,c2) resolved by the ATLD−MCR algorithm from two three−way subarrays.
Figure 3. The normalized chromatograms (a1,a2), the normalized spectrograms (b1,b2), and the relative concentration profiles (c1,c2) resolved by the ATLD−MCR algorithm from two three−way subarrays.
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Table 1. Accuracy of five target analytes in spiked prediction samples (P01–06) of WQY commercial products using ATLD and ATLD-MCR methods.
Table 1. Accuracy of five target analytes in spiked prediction samples (P01–06) of WQY commercial products using ATLD and ATLD-MCR methods.
HMFPAEFERBAIBER
ATLD
r  a0.99910.99930.99960.99690.9978
AVG ± S.D.% b94.7± 2.591.8 ± 5.093.9 ± 3.5104.3 ± 9.7112.5 ± 5.1
RMSEP (µg mL1) c0.202.070.383.944.05
ATLD-MCR
r0.99920.99950.99930.99850.9973
AVG ± S.D.%93.3 ± 1.492.4 ± 5.788.6 ± 3.5101.6 ± 9.996.8 ± 10.3
RMSEP (µg mL1)0.301.850.693.041.53
ar represents correlation coefficients. b AVG ± S.D. is average spiked recovery ± standard deviation. c RMSEP represents relative root mean square error of prediction. RMSEP = n = 1 N ( c p r e c a c t ) 2 / N p × 100 % , c p r e and c a c t are the predicted and actual concentrations, respectively, and N p is the number of prediction samples.
Table 2. The figures of merit and precision for determination of five analytes in selected WQY samples using ATLD and ATLD-MCR methods.
Table 2. The figures of merit and precision for determination of five analytes in selected WQY samples using ATLD and ATLD-MCR methods.
Statistic ParameterAnalytical Compounds
HMFPAEFERBAIBER
ATLD
SEL a0.490.520.560.430.20
SEN b/mL µg−18.46 × 1041.04 × 1041.24 × 1053.00 × 1042.46 × 104
LOD c/µg mL−10.951.840.074.9411.67
LOQ d/µg mL−12.855.590.2214.9835.37
Intra-day (RSD % n = 3)9.653.240.672.125.22
Inter-day (RSD % n = 3)12.472.724.473.1640.82
ATLD-MCR
SEL0.150.230.350.130.19
SEN/mL µg−13.09 × 1047.74 × 1037.93 × 1049.11 × 1032.24 × 104
LOD/µg mL−10.221.120.174.530.84
LOQ/µg mL−10.653.400.5113.722.54
Intra-day (RSD % n = 3)3.041.121.331.830.36
Inter-day (RSD % n = 3)2.901.642.652.140.92
a  SEL n = { [ ( A cal T ( I A unx A unx + ) A cal ) ( B cal T ( I B unx B unx + ) B cal ) ] 1 } n n 1 / 2 . b   SEN n = l n { [ ( A cal T ( I A unx A unx + ) A cal ) ( B cal T ( I B unx B unx + ) B cal ) ] 1 } n n 1 / 2 , A and B are the obtained normalized matrixes from the decomposition of ATLD or ATLD-MCR algorithm, subscript n identifies a particular analyte of interest, ln represents the total response signal for nth component at unit concentration. c     LOD n = 3.3   ( SEN n 2 σ x 2 + h 0 SEN n 2 σ x 2 + h 0 σ y cal 2 ) 1 / 2 . d LOQ n = 10   ( SEN n 2 σ x 2 + h 0 SEN n 2 σ x 2 + h 0 σ y cal 2 ) 1 / 2 , σx denotes the standard deviation of analyte predicted concentration in three different unspiked samples. h0 is the value for the leverage in blank sample.
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Chen, J.-C.; Wu, H.-L.; Wang, T.; Dong, M.-Y.; Chen, Y.; Yu, R.-Q. High-Performance Liquid Chromatography–Diode Array Detection Combined with Chemometrics for Simultaneous Quantitative Analysis of Five Active Constituents in a Chinese Medicine Formula Wen-Qing-Yin. Chemosensors 2022, 10, 238. https://doi.org/10.3390/chemosensors10070238

AMA Style

Chen J-C, Wu H-L, Wang T, Dong M-Y, Chen Y, Yu R-Q. High-Performance Liquid Chromatography–Diode Array Detection Combined with Chemometrics for Simultaneous Quantitative Analysis of Five Active Constituents in a Chinese Medicine Formula Wen-Qing-Yin. Chemosensors. 2022; 10(7):238. https://doi.org/10.3390/chemosensors10070238

Chicago/Turabian Style

Chen, Jun-Chen, Hai-Long Wu, Tong Wang, Ming-Yue Dong, Yue Chen, and Ru-Qin Yu. 2022. "High-Performance Liquid Chromatography–Diode Array Detection Combined with Chemometrics for Simultaneous Quantitative Analysis of Five Active Constituents in a Chinese Medicine Formula Wen-Qing-Yin" Chemosensors 10, no. 7: 238. https://doi.org/10.3390/chemosensors10070238

APA Style

Chen, J. -C., Wu, H. -L., Wang, T., Dong, M. -Y., Chen, Y., & Yu, R. -Q. (2022). High-Performance Liquid Chromatography–Diode Array Detection Combined with Chemometrics for Simultaneous Quantitative Analysis of Five Active Constituents in a Chinese Medicine Formula Wen-Qing-Yin. Chemosensors, 10(7), 238. https://doi.org/10.3390/chemosensors10070238

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