In this paper, the cholesterol concentration of human blood serum is qualitatively and quantitatively scrutinized via laser-induced breakdown spectroscopy (LIBS) and discriminant function analysis (DFA). To achieve this goal, four normal standard samples with different concentrations of cholesterol and one pathological sample as a target, all from human blood serum, are prepared. Initially, the range of cholesterol concentration of the target compared to that of standard samples is determined using three bar charts related to the spectral intensities of cholesterol components. Then, in contrast to the common cases, the DFA is exploited to measure the cholesterol concentration of the target. First of all, three discriminant functions (DFs), their contributions in the discrimination, and groups’ centroid for all DFs are determined. Thereafter, for each DF, the cholesterol concentration of the samples is plotted against the centroid of the groups as a linear calibration diagram (LCD). Eventually, the cholesterol concentration of the target and its standard error of the mean (SEM) are calculated using the contributions obtained from LCDs by considering and exerting the discrimination percentages of DFs. Comparing the results with the values certified by the manufacturer about the target indicates strong performance of this approach in quantitative analyses.

中文翻译：

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使用激光等离子体光谱和基于校准的线性判别分析对血液胆固醇进行定性和定量评估

在本文中，通过激光诱导击穿光谱 (LIBS) 和判别函数分析 (DFA) 对人血清中的胆固醇浓度进行了定性和定量审查。为实现这一目标，制备了四种不同浓度胆固醇的正常标准样品和一种病理样品作为靶标，均来自人血清。最初，目标的胆固醇浓度范围与标准样品的浓度范围相比，是使用与胆固醇成分的光谱强度相关的三个条形图来确定的。然后，与常见情况相比，DFA 被用来测量目标的胆固醇浓度。首先，确定三个判别函数 (DF)、它们在判别中的贡献以及所有 DF 的组质心。此后，对于每个 DF，样本的胆固醇浓度相对于组的质心绘制为线性校准图 (LCD)。最终，通过考虑和应用 DF 的区分百分比，使用从 LCD 获得的贡献计算目标的胆固醇浓度及其平均值的标准误差 (SEM)。将结果与制造商认证的目标值进行比较表明该方法在定量分析中的强大性能。目标的胆固醇浓度及其平均值的标准误差 (SEM) 是通过考虑和应用 DF 的区分百分比，使用从 LCD 获得的贡献来计算的。将结果与制造商认证的目标值进行比较表明该方法在定量分析中的强大性能。目标的胆固醇浓度及其平均值的标准误差 (SEM) 是通过考虑和应用 DF 的区分百分比，使用从 LCD 获得的贡献来计算的。将结果与制造商认证的目标值进行比较表明该方法在定量分析中的强大性能。