The modification in the nutritional composition of the ruminant diet causes significant alterations in the fatty acids (FAs) structure supplemented because of the action of rumen microorganisms. The modification in the FAs structure alters the role that these play in the ruminant metabolism. The Folch method is the most often used to determine fatty acids in these animals' tissues and presents certain disadvantages such as the great volume of solvent and low mass transfer from the analyte to the extracting phase. Thus, we tested the low‐density dispersive liquid–liquid microextraction (LD‐DLLME) as an alternative method to determine these substances. In this paper, a simples‐augmented mixture design was used. The Scheffé's polynomial was applied in that design, and Moore–Penrose generalized matrix inverse was used because of the possibility of concurrently determining value estimates of coefficients of the parameters that represent cubic terms. The application of the modeling allowed the chemical interpretation of the LD‐DLLME best extraction condition for linoleic acid in ruminant serum samples.

中文翻译：

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Moore-Penrose广义逆混合设计在低密度分散液-液微萃取中的应用

由于瘤胃微生物的作用，反刍动物饮食营养成分的改变导致补充的脂肪酸（FAs）结构发生显着变化。FAs 结构的修饰改变了它们在反刍动物代谢中的作用。Folch 方法最常用于测定这些动物组织中的脂肪酸，但存在某些缺点，例如溶剂量大和从分析物到提取阶段的传质低。因此，我们测试了低密度分散液-液微萃取 (LD-DLLME) 作为测定这些物质的替代方法。在本文中，使用了简单的增强混合设计。在该设计中应用了 Scheffé 多项式，使用 Moore-Penrose 广义矩阵求逆是因为可以同时确定表示三次项的参数系数的估计值。该模型的应用允许对反刍动物血清样品中亚油酸的 LD-DLLME 最佳提取条件进行化学解释。