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The difference of model robustness assessment using cross-validation and bootstrap methods 使用交叉验证法和引导法评估模型稳健性的区别
IF 2.4 4区 化学 Q1 SOCIAL WORK Pub Date : 2024-01-11 DOI: 10.1002/cem.3530
Rita Lasfar, Gergely Tóth

The validation principles on Quantitative Structure Activity Relationship issued by Organization for Economic and Co-operation and Development describe three criteria of model assessment: goodness of fit, robustness and prediction. In the case of robustness, two ways are possible as internal validation: bootstrap and cross-validation. We compared these validation metrics by checking their sample size dependence, rank correlations to other metrics and uncertainty. We used modeling methods from multivariate linear regression to artificial neural network on 14 open access datasets. We found that the metrics provide similar sample size dependence and correlation to other validation parameters. The individual uncertainty originating from the calculation recipes of the metrics is much smaller for both ways than the part caused by the selection of the training set or the training/test split. We concluded that the metrics of the two techniques are interchangeable, but the interpretation of cross-validation parameters is easier according to their similar range to goodness-of-fit and prediction metrics. Furthermore, the variance originating from the random elements of the calculation of cross-validation metrics is slightly smaller than those of bootstrap ones, if equal calculation load is applied.

经济合作与发展组织发布的《定量结构活动关系验证原则》描述了模型评估的三个标准:拟合度、稳健性和预测。在稳健性方面,有两种内部验证方法:自举法和交叉验证。我们通过检查这些验证指标的样本量依赖性、与其他指标的等级相关性和不确定性,对它们进行了比较。我们在 14 个开放数据集上使用了从多元线性回归到人工神经网络的建模方法。我们发现,这些指标提供了类似的样本大小依赖性以及与其他验证参数的相关性。在这两种方法中,源于度量标准计算配方的个别不确定性要比源于训练集选择或训练/测试分割的部分小得多。我们的结论是,这两种技术的度量标准可以互换,但交叉验证参数的解释更容易,因为它们与拟合优度和预测度量标准的范围相似。此外,在计算负荷相同的情况下,交叉验证指标计算中随机因素产生的方差略小于 bootstrap 指标。
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引用次数: 0
Sample selection method using near-infrared spectral information entropy as similarity criterion for constructing and updating peach firmness and soluble solids content prediction models 利用近红外光谱信息熵作为相似性标准的样本选择方法,用于构建和更新桃子硬度和可溶性固形物含量预测模型
IF 2.4 4区 化学 Q1 SOCIAL WORK Pub Date : 2023-12-19 DOI: 10.1002/cem.3528
Yande Liu, Cong He, Xiaogang Jiang

When using near-infrared (NIR) techniques for analysis, model construction and maintenance updates are essential. When model construction is performed in machine learning, the sample set is usually divided into the calibration set and the validation set. The representativeness of the calibration set and the reasonable distribution of the validation set affects the accuracy of the established model. In addition, when maintaining and updating models, selecting the most informative updated sample not only improves the model prediction accuracy but also reduces sample preparation. In this paper, the spectral information entropy (SIE) is proposed to be used as a similarity criterion for dividing the sample set and use this criterion to select updated samples. The Kennard–Stone (KS) and the sample set portioning based on joint xy distance (SPXY) methods were used for comparison to verify the superiority of the proposed method. The results showed that the model built after dividing the sample set using the SIE method has good prediction effect compared with KS and SPXY method. When predicting soluble solid content (SSC) and hardness, the prediction determination coefficient (RP2) was improved by more than 15%, and the root mean square error (RMSE) of prediction was reduced by 50%. In terms of model updating, selecting a small number of updated samples using the SIE method can improve the correlation coefficient (RP) to more than 80%, and updated models' prediction accuracy is higher than that of KS and SPXY method. It is confirmed that the SIE method can make the NIR analysis technique more reliable.

使用近红外(NIR)技术进行分析时,模型构建和维护更新至关重要。在机器学习中构建模型时,样本集通常分为校准集和验证集。校准集的代表性和验证集的合理分布会影响所建模型的准确性。此外,在维护和更新模型时,选择信息量最大的更新样本不仅能提高模型预测精度,还能减少样本准备工作。本文提出将光谱信息熵(SIE)作为划分样本集的相似性准则,并利用该准则选择更新样本。比较了 Kennard-Stone (KS) 方法和基于联合 x-y 距离 (SPXY) 的样本集划分方法,以验证所提方法的优越性。结果表明,与 KS 和 SPXY 方法相比,使用 SIE 方法分割样品集后建立的模型具有良好的预测效果。在预测可溶性固形物含量(SSC)和硬度时,预测判定系数(RP2$$ {R}_P^2 $$)提高了 15%以上,预测均方根误差(RMSE)降低了 50%。在模型更新方面,利用 SIE 方法选择少量更新样本可以将相关系数(RP$$ {R}_P $$)提高到 80% 以上,更新后模型的预测精度高于 KS 和 SPXY 方法。因此,SIE 方法可以使近红外分析技术更加可靠。
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引用次数: 0
Iterative re-weighted multilinear partial least squares modelling for robust predictive modelling 鲁棒预测模型的迭代重加权多元线性偏最小二乘建模
IF 2.4 4区 化学 Q1 SOCIAL WORK Pub Date : 2023-12-06 DOI: 10.1002/cem.3527
Puneet Mishra, Kristian Hovde Liland

Higher order data are commonly encountered in the domain of chemometrics, often generated by advanced analytical instruments. Due to the multilinear nature of the data, higher order data require different regression approaches compared with traditional two-way data for predictive modelling. The main aim is usually to extract the rich multilinear information, which is often lost if the data are simply analysed in unfolded form. A common algorithm for multilinear predictive modelling is N-way partial least squares (NPLS). However, a limitation of NPLS is that it inherently does not handle outlying observations, which can be detrimental to the model. This work presents a new robust multilinear predictive modelling approach based on iterative down-weighting of the outlier observations in both predictor and response space. A key benefit of the method is that it only requires a single extra parameter to tune. In this work, the algorithm is described, and the method is demonstrated on three real multilinear data sets. In all cases, the presented method outperformed the traditional NPLS modelling regarding the root mean squared error of prediction.

高阶数据通常在化学计量学领域中遇到,通常由先进的分析仪器产生。由于数据的多线性性质,与传统的双向数据相比,高阶数据需要不同的回归方法来进行预测建模。主要目的通常是提取丰富的多线性信息,如果简单地以展开形式分析数据,这些信息往往会丢失。多线性预测建模的常用算法是n向偏最小二乘法。然而,不良贷款的一个限制是它本质上不处理外围观测,这可能对模型有害。这项工作提出了一种新的鲁棒多线性预测建模方法,该方法基于预测和响应空间中离群值观测的迭代降权。该方法的一个关键优点是,它只需要一个额外的参数即可进行调优。本文对该算法进行了描述,并在三个真实的多线性数据集上进行了验证。在所有情况下,所提出的方法在预测均方根误差方面优于传统的不良贷款建模。
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引用次数: 0
Correction to “A novel eco-friendly methods for simultaneous determination of aspirin, clopidogrel, and atorvastatin or rosuvastatin in their fixed-dose combination using chemometric techniques and artificial neural networks” 更正“利用化学计量技术和人工神经网络同时测定阿司匹林、氯吡格雷和阿托伐他汀或瑞舒伐他汀固定剂量组合的新型环保方法”
IF 2.4 4区 化学 Q1 SOCIAL WORK Pub Date : 2023-11-14 DOI: 10.1002/cem.3526

AlSawy NS, ElKady EF, Mostafa EA. A novel eco-friendly methods for simultaneous determination of aspirin, clopidogrel, and atorvastatin or rosuvastatin in their fixed-dose combination using chemometric techniques and artificial neural networks. Journal of Chemometrics. 2023;37(5):e3474. doi:10.1002/cem.3474

The first letter ‘A’ in the article title was mistakenly added. The updated article title is below.

“Novel eco-friendly methods for simultaneous determination of aspirin, clopidogrel, and atorvastatin or rosuvastatin in their fixed-dose combination using chemometric techniques and artificial neural networks”

We apologize for this error.

AlSawy NS, ElKady EF, Mostafa EA.利用化学计量技术和人工神经网络同时测定阿司匹林、氯吡格雷和阿托伐他汀或瑞舒伐他汀固定剂量组合的环保新方法。化学计量学学报,2009;37(5):1145 - 1145。doi: 10.1002 /杰姆。文章标题中的第一个字母“A”加错了。更新后的文章标题如下。“使用化学计量学技术和人工神经网络同时测定阿司匹林、氯吡格雷和阿托伐他汀或瑞舒伐他汀固定剂量组合的新型环保方法”我们为这个错误道歉。
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引用次数: 0
Experimental designs for controlling the correlation of estimators in two-parameter models 控制双参数模型中估计器相关性的实验设计
IF 2.4 4区 化学 Q1 SOCIAL WORK Pub Date : 2023-11-08 DOI: 10.1002/cem.3525
Edgar Benitez, Jesús López-Fidalgo

The state of the art related to parameter correlation in two-parameter models has been reviewed in this paper. The apparent contradictions between the different authors regarding the ability of D-optimality to simultaneously reduce the correlation and the area of the confidence ellipse in two-parameter models were analyzed. Two main approaches were found: (1) those who consider that the optimality criteria simultaneously control the precision and correlation of the parameter estimators and (2) those that consider a combination of criteria to achieve the same objective. An analytical criterion combining in its structure both the optimality of the precision of the estimators of the parameters and the reduction of the correlation between their estimators is provided. The criterion was tested both in a simple linear regression model, considering all possible design spaces, and in a nonlinear model with strong correlation of the estimators of the parameters (Michaelis–Menten) to show its performance. This criterion showed a superior behavior to all the strategies and criteria to control at the same time the precision and the correlation.

本文回顾了与双参数模型中参数相关性有关的技术现状。本文分析了不同作者在 D-最优性同时降低双参数模型中相关性和置信椭圆面积的能力方面存在的明显矛盾。研究发现了两种主要方法:(1) 认为最优性标准可以同时控制参数估计值的精度和相关性的方法;(2) 认为结合多种标准来实现同一目标的方法。本文提供了一种分析标准,在其结构中结合了参数估计值精度的最优性和参数估计值之间相关性的减小。该标准在一个简单的线性回归模型(考虑到所有可能的设计空间)和一个参数估计值相关性很强的非线性模型(Michaelis-Menten)中进行了测试,以显示其性能。与所有同时控制精度和相关性的策略和标准相比,该标准表现出更优越的性能。
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引用次数: 0
An antioxidative potential-based comparison of different peanut extraction methods, optimized through response surface methodology 基于抗氧化潜能比较不同的花生提取方法,并通过响应面方法进行优化
IF 2.4 4区 化学 Q1 SOCIAL WORK Pub Date : 2023-11-02 DOI: 10.1002/cem.3524
Kritamorn Jitrangsri, Amornrut Chaidedgumjorn, Malai Satiraphan

In this research, response surface methodology was employed in order to find the most efficient conditions to produce peanut extracts with the highest antioxidative potential (by DPPH, ABTS, FRAP, and ORAC tests) from ultrasound-assisted (UAE) and microwave-assisted (MAE) extractions. The optimal conditions for UAE were 75 ml of 30%v/v ethanol as extraction solvent, extraction temperature of 65°C, and 180 min extraction time. Optimal conditions for MAE were 15 ml of 30%v/v ethanol as extraction solvent, extraction temperature of 80°C, and 90 s extraction time. The generated models presented a reliable antioxidative response by showing non-difference between experimental and predicted values within a 95% confidence level. Characteristics such as antioxidant activities, TPC, resveratrol, and TFC were used to compare the effectiveness of the obtained extracts and the SLE extract from our previous work. The UAE extract displayed higher extraction efficiency than that of MAE in terms of higher levels of all responses (p < 0.05). Slightly lower antioxidant values of MAE might be due to the limited solvent volume used, which was five times less than that of UAE. Moreover, the high efficacy of MAE was confirmed by its extraction time, which was 120 times shorter than that of UAE. Ultimately, the correlation analysis implied that the antioxidant activity of peanut extracts was contributed by TPC rather than resveratrol or TFC, and the revealed TPC in this study was higher than previous reports.

本研究采用了响应面方法,以找到从超声辅助(UAE)和微波辅助(MAE)萃取中提取抗氧化潜力(通过 DPPH、ABTS、FRAP 和 ORAC 测试)最高的花生提取物的最有效条件。超声辅助提取的最佳条件是:75 毫升 30%v/v 乙醇作为提取溶剂,提取温度为 65°C,提取时间为 180 分钟。MAE 的最佳条件为:15 毫升 30%v/v 乙醇作为萃取溶剂,萃取温度为 80°C,萃取时间为 90 秒。生成的模型显示出可靠的抗氧化反应,在 95% 的置信度范围内,实验值与预测值无差异。我们利用抗氧化活性、TPC、白藜芦醇和 TFC 等特征来比较所获得的提取物和之前工作中的 SLE 提取物的有效性。结果表明,阿联酋提取物的萃取效率高于亚洲萃取物(p <0.05)。MAE 的抗氧化值略低可能是由于使用的溶剂量有限,是 UAE 的 5 倍。此外,MAE 的萃取时间比 UAE 短 120 倍,这也证实了 MAE 的高效性。最终,相关性分析表明,花生提取物的抗氧化活性是由 TPC 而不是白藜芦醇或 TFC 促成的,而且本研究中揭示的 TPC 要高于之前的报道。
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引用次数: 0
Just-in-time latent autoregressive residual generation for dynamic process monitoring 用于动态过程监控的即时潜在自回归残差生成
IF 2.4 4区 化学 Q1 SOCIAL WORK Pub Date : 2023-10-25 DOI: 10.1002/cem.3523
Shi Hu, Kuan Chang

With a goal of timely and adaptively exploiting the inconsistency inherited in the monitored samples of current interest, a novel dynamic process monitoring method based on just-in-time latent autoregressive residual generation (JITLAR2G) model is proposed. Different from the mainstream dynamic modeling and monitoring methods which usually train a signature generating mechanism and then repeatedly apply it for online monitored samples, the proposed JITLAR2G-based approach provides a JITLAR2G model for the online monitored samples after data augmentation, so that the corresponding inconsistency within the given consecutive samples could be timely and adaptively uncovered. Instead of expressing the time-serial relationship that generally accepted by the normal samples in the given dataset, solving the objective function designed for JITLAR2G in a just-in-time manner can adaptively and correspondingly seek but only one projecting vector as well as coefficient vector to generate residual, which points to the potential inconsistency inherited in the monitored samples, for the sole purpose of fault detection. As demonstrated through comparisons, the proposed JITLAR2G model can consistently guarantee its effectiveness, in terms of reducing both false alarm rate and missed alarm rate, for dynamic process monitoring, the salient performance achieved by the proposed JITLAR2G-based method in contrast to the counterparts can be always confirmed.

为了及时、自适应地利用当前关注的监测样本中继承的不一致性,提出了一种基于适时潜自回归残差生成(JITLAR2G)模型的新型动态过程监测方法。不同于主流的动态建模和监测方法通常是先训练一个特征生成机制,然后将其重复应用于在线监测样本,所提出的基于 JITLAR2G 的方法为数据增强后的在线监测样本提供了一个 JITLAR2G 模型,从而可以及时、自适应地发现给定连续样本中相应的不一致性。JITLAR2G 所设计的目标函数不是表达给定数据集中正常样本普遍接受的时间序列关系,而是以适时的方式自适应地相应寻找一个投影向量和系数向量来生成残差,从而指出监测样本中潜在的不一致性,以达到故障检测的唯一目的。通过比较证明,所提出的 JITLAR2G 模型在降低误报率和漏报率方面始终能保证其在动态过程监控中的有效性,基于 JITLAR2G 的方法与同类方法相比所取得的突出性能始终是可以确认的。
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引用次数: 0
Automatic peak annotation and area estimation of glycan map peaks directly from chromatograms 自动峰标注和面积估计聚糖图峰直接从色谱
IF 2.4 4区 化学 Q1 SOCIAL WORK Pub Date : 2023-10-24 DOI: 10.1002/cem.3521
Domen Hudnik, Naja Bohanec, Igor Drobnak, Peter Ernst, Alexander Hanke, Matej Horvat, Franz Innerbichler, Miha Mikelj, Tilen Praper, Vasja Progar, Nika Valenčič, Matjaž Omladič

The present bottleneck in biosimilar bioprocess development has become evaluation of analytical results, due to recent advances in analytics, such as automated sample preparation and development of high-throughput methods. Currently automated chromatogram integration and annotation is only efficient for simple chromatograms. In an ever more competitive field of biosimilars, this represents a serious drawback because chromatographic analytical methods that provide some of the most valuable physicochemical quality attributes of the product also require careful chromatogram integration and annotation. This work focuses on the glycan mapping analytical method as utilized in development of monoclonal antibody biosimilars, evaluating more than 2000 chromatograms spanning the life cycle of multiple biosimilar development projects. It proposes a modified workflow by implementing automatic machine learning algorithms to determine the proportion of specific relevant glycan species in a sample directly from the chromatogram. Data preparation and analysis is performed using a pipeline approach. Pipeline is a modular design of data processing where signal “travels” through various active modules in a series. Each module performs a specific function or transformation on the signal and propagates the transformed signal to the next module. The pipeline is designed in a way that modules can be independently improved and exchanged. Module functions currently implemented are chromatogram resampling by spline interpolation, baseline removal by asymmetric least squares, peak alignment using parametric time warping, and quantification of the relative proportion of a glycan species using partial least squares regression. Hyper-parameters of the pipeline are then optimized using the Nelder–Mead method. The approach stands out for its ability to accommodate a broad landscape of samples, covering multiple different proteins in different stages of biosimilar development, analyzed using different adaptations of the glycan map analytical method. The pipeline presents an intuitive, flexible, and creatively simple method design capable of providing reliable results for a wide range of glycan species essential for biosimilar development. It enables transparent, faster, and less subjective evaluation of analytic raw data (from sample to result). Furthermore, our automated approach maintained an accuracy comparable with manual integration thus demonstrating its readiness for implementation in the conservative and highly regulated environment. The presented methodology reduces the cost and time of biosimilar development and should be applicable for any chromatogram-based analytical method.

由于最近分析技术的进步,例如自动化样品制备和高通量方法的发展,目前生物类似药生物工艺发展的瓶颈已经成为分析结果的评估。目前,自动化的色谱集成和注释仅对简单的色谱有效。在竞争日益激烈的生物仿制药领域,这代表了一个严重的缺点,因为色谱分析方法提供了产品的一些最有价值的物理化学质量属性,也需要仔细的色谱整合和注释。本研究的重点是用于单克隆抗体生物类似药开发的聚糖定位分析方法,评估了跨越多个生物类似药开发项目生命周期的2000多个色谱图。它提出了一种改进的工作流程,通过实现自动机器学习算法来直接从色谱中确定样品中特定相关聚糖物种的比例。数据准备和分析使用管道方法执行。流水线是一种数据处理的模块化设计,其中信号通过一系列的各种有源模块“传播”。每个模块对信号执行特定的功能或转换,并将转换后的信号传播给下一个模块。该管道的设计方式使模块可以独立地改进和交换。目前实现的模块功能包括样条插值法的色谱重采样,非对称最小二乘法的基线去除,参数时间扭曲法的峰对齐,以及偏最小二乘回归法的聚糖种类相对比例量化。然后使用Nelder-Mead方法对管道的超参数进行优化。该方法因其适应广泛样品的能力而脱颖而出,涵盖了生物类似药开发不同阶段的多种不同蛋白质,使用不同的聚糖图分析方法进行分析。该管道提供了一种直观、灵活和创造性的简单方法设计,能够为生物类似药开发所需的广泛聚糖物种提供可靠的结果。它支持对分析原始数据(从样本到结果)进行透明、快速和较少主观的评估。此外,我们的自动化方法保持了与人工集成相当的准确性,从而证明了它可以在保守和高度监管的环境中实现。该方法降低了生物类似药开发的成本和时间,适用于任何基于色谱的分析方法。
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引用次数: 0
Two-step hybrid modeling for variable selection and estimation: An application to quantitative structure activity relationship study 用于变量选择和估算的两步混合模型:结构活动关系定量研究的应用
IF 2.4 4区 化学 Q1 SOCIAL WORK Pub Date : 2023-10-23 DOI: 10.1002/cem.3522
Henrietta Ebele Oranye, Fidelis Ifeanyi Ugwuowo, Kingsley Chinedu Arum

In this study, we developed a simple technique for effective parameter estimation and prediction of the quantitative structure activity relationship studies using a two-step procedure. The first step is to choose the important molecular descriptors using the random forest regression, and the second step is to optimally predict the biological activity of the selected chemical compounds using the following estimators: ridge regression, jackknife ridge, Liu regression, jackknife Liu, Kibria–Lukman, and jackknife Kibria–Lukman. We conducted a simulation study and a real-life analysis with a quantitative structure–activity relationship (QSAR) data with 2540 descriptors after preprocessing. The optimal prediction is determined using the cross-validation error. The estimator with minimum cross-validation error is considered best. It is obvious that performing jackknife estimation after random forest selection is preferred.

在这项研究中,我们开发了一种简单的技术,采用两步法对定量结构活性关系研究进行有效的参数估计和预测。第一步是使用随机森林回归法选择重要的分子描述因子,第二步是使用以下估计器优化预测所选化合物的生物活性:脊回归、杰克刀脊、刘回归、杰克刀刘、Kibria-Lukman 和杰克刀 Kibria-Lukman。我们对经过预处理的 2540 个描述符的定量结构-活性关系(QSAR)数据进行了模拟研究和实际分析。利用交叉验证误差确定最佳预测值。交叉验证误差最小的估计器被认为是最佳的。很明显,在随机森林选择后进行千刀估计是更好的选择。
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引用次数: 0
Chromatographic method development for simultaneous determination of serotonin, melatonin, and L-tryptophan: Mass transfer modeling, chromatographic separation factors, and method prediction by artificial neural network 同时测定血清素、褪黑素和l -色氨酸的色谱方法发展:传质模型、色谱分离因素和人工神经网络方法预测
IF 2.4 4区 化学 Q1 SOCIAL WORK Pub Date : 2023-10-03 DOI: 10.1002/cem.3520
Dipshikha Tamili, Susovan Jana, Paramita Bhattacharjee

This work endeavored to develop a high performance liquid chromatography (HPLC) method for simultaneous quantification of three important biotherapeutic molecules namely, L-tryptophan, serotonin, and melatonin, present in low amounts in agro-commodities. In the first approach, using pure chemical standards of the same in a mixture, chromatogram separation parameters such as peak sharpness, peak shouldering, and peak separation were judged by a human panel and biasness-cum-decision uncertainties were averted using fuzzy logic analysis. In the second approach, the separation parameters such as peak resolution and separation factors were evaluated to obtain a well-resolved chromatogram. The parameters of the said separation process were successfully modeled by dimensionless numbers of mass transfer of the analytes in the column; and post-fitting of mass transfer equations, high R2 was obtained suggesting successful development of the chromatographic process. Euclidean distances between the values of each chromatographic separation parameter and their respective ideal values; the defuzzified scores; findings of mass transfer study; and separation factors concomitantly established that the mobile phase of composition 1% acetic acid in HPLC water (A)–HPLC grade methanol (B) in gradient elution conditions (90% A–10% B) at a flow rate of 1 mL/min could simultaneously quantify the three molecules (μg) in button mushrooms with good resolution. The presence of the said biomolecules in the extract of button mushrooms was also confirmed by electrospray ionization (ESI)-mass spectrometer (MS). An artificial neural network model (high R2) was also developed for chromatographic users, which would allow accurate prediction of the chromatographic parameters by varying mobile phase composition and flow rates.

本工作旨在建立一种高效液相色谱(HPLC)方法,用于同时定量三种重要的生物治疗分子,即l -色氨酸、血清素和褪黑素,它们在农产品中含量较低。在第一种方法中,使用混合物中相同的纯化学标准品,由人为小组判断峰锐度、峰肩和峰分离等色谱分离参数,并使用模糊逻辑分析避免偏倚和决策不确定性。在第二种方法中,对峰分辨率和分离因子等分离参数进行了评估,以获得高分辨率的色谱图。所述分离过程的参数成功地通过柱中分析物的无因次传质数来建模;并对传质方程进行后拟合,得到了较高的R2,表明色谱工艺开发成功。各色谱分离参数值与其理想值之间的欧氏距离;去模糊化的分数;传质研究结果;并建立了以1%乙酸-HPLC水(A) -HPLC级甲醇(B)为流动相,在梯度洗脱条件下(90% A - 10% B),流速为1 mL/min,可同时定量蘑菇中3个分子(μg),且具有较好的分辨率。电喷雾离子联用质谱仪(MS)也证实了上述生物分子在蘑菇提取物中的存在。为色谱用户开发了一个人工神经网络模型(高R2),该模型可以通过改变流动相组成和流速来准确预测色谱参数。
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引用次数: 0
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Journal of Chemometrics
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