论文标题
通过数据驱动的部分微分方程在分析化学中的对象分类
Object classification in analytical chemistry via data-driven discovery of partial differential equations
论文作者
论文摘要
由于它们在许多重要的生物学过程中的作用,因此聚糖是最广泛研究的生物分子之一。这种参与使了解他们的结构功能关系至关重要。但是,很少有基于系统独立的LC-MS/MS(液相色谱串联质谱法)基于此特定目标已经开发了基于系统的研究。研究后,使用的方法通常依赖于标准化的保留时间以及M/z质量与离子值的电荷比。由于这些局限性,需要定量表征方法可以独立于m/z值使用,因此仅利用归一化的保留时间。因此,本文的主要目标是使用葡萄糖单位指数(GUI)作为化合物参数空间中的参考框架来构建衍生自标准糖蛋白和人血清的苄氯二聚糖的分类。对于参考框架,我们开发了一个封闭形式的分析公式,该公式是从绿色的功能中获得的,用于建模复合材料传输的相关对流 - 扩散 - 吸收方程。上述方程来自爱因斯坦 - 布朗尼运动范式,该方程在实验中分子转运的观察点提供了对时间依赖性的物理解释。必要的系数通过数据驱动的学习程序确定。该方法以抽象的方式提出,该方法允许立即应用于相关的物理和化学过程。采用拟议分类方法的结果通过与实验质谱仪数据进行比较来验证。
Glycans are one of the most widely investigated biomolecules, due to their roles in numerous vital biological processes. This involvement makes it critical to understand their structure-function relationships. Few system-independent, LC-MS/MS (Liquid chromatography tandem mass spectrometry) based studies have been developed with this particular goal, however. When studied, the employed methods generally rely on normalized retention times as well as m/z - mass to charge ratio of an ion values. Due to these limitations, there is need for quantitative characterization methods which can be used independently of m/z values, thus utilizing only normalized retention times. As such, the primary goal of this article is to construct an LC-MS/MS based classification of the permethylated glycans derived from standard glycoproteins and human blood serum, using a Glucose Unit Index (GUI) as the reference frame in the space of compound parameters. For the reference frame we develop a closed-form analytic formula, which is obtained from the Green's function of a relevant convection-diffusion-absorption equation used to model composite material transport. The aforementioned equation is derived from an Einstein-Brownian motion paradigm, which provides a physical interpretation of the time-dependence at the point of observation for molecular transport in the experiment. The necessary coefficients are determined via a data-driven learning procedure. The methodology is presented in an abstract manner which allows for immediate application to related physical and chemical processes. Results employing the proposed classification method are validated via comparison with experimental mass spectrometer data.