Berglund Martin, Adiels Martin, Taskinen Marja-Riitta, Borén Jan, Wennberg Bernt
Department of Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, Göteborg, Sweden.
Department of Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, Göteborg, Sweden; Department of Molecular and Clinical Medicine, University of Gothenburg, Göteborg, Sweden.
PLoS One. 2015 Sep 30;10(9):e0138538. doi: 10.1371/journal.pone.0138538. eCollection 2015.
Mathematical models may help the analysis of biological systems by providing estimates of otherwise un-measurable quantities such as concentrations and fluxes. The variability in such systems makes it difficult to translate individual characteristics to group behavior. Mixed effects models offer a tool to simultaneously assess individual and population behavior from experimental data. Lipoproteins and plasma lipids are key mediators for cardiovascular disease in metabolic disorders such as diabetes mellitus type 2. By the use of mathematical models and tracer experiments fluxes and production rates of lipoproteins may be estimated.
We developed a mixed effects model to study lipoprotein kinetics in a data set of 15 healthy individuals and 15 patients with type 2 diabetes. We compare the traditional and the mixed effects approach in terms of group estimates at various sample and data set sizes.
We conclude that the mixed effects approach provided better estimates using the full data set as well as with both sparse and truncated data sets. Sample size estimates showed that to compare lipoprotein secretion the mixed effects approach needed almost half the sample size as the traditional method.
数学模型可通过提供对诸如浓度和通量等其他难以测量的量的估计,来帮助分析生物系统。此类系统中的变异性使得难以将个体特征转化为群体行为。混合效应模型提供了一种从实验数据中同时评估个体和群体行为的工具。脂蛋白和血浆脂质是诸如2型糖尿病等代谢紊乱中心血管疾病的关键介质。通过使用数学模型和示踪实验,可以估计脂蛋白的通量和产生率。
我们开发了一种混合效应模型,以研究15名健康个体和15名2型糖尿病患者数据集中的脂蛋白动力学。我们在不同样本和数据集大小的群体估计方面比较了传统方法和混合效应方法。
我们得出结论,混合效应方法在使用完整数据集以及稀疏和截断数据集时都能提供更好的估计。样本量估计表明,为了比较脂蛋白分泌,混合效应方法所需的样本量几乎是传统方法的一半。