Orozco-López Onofre, Rodríguez-Herrero Agustín, Castañeda Carlos E, García-Sáez Gema, Elena Hernando M
Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Col Paseos de la Montaña Lagos de Moreno Jalisco MX. 47460, Mexico.
Bioengineering and Telemedicine Group, Centro de Tecnología Biomédica. Universidad Politécnica de Madrid, Madrid, Spain; Networking Research Center on Bioengineering, Biomaterials and Nanomedicine (CIBER-BBN), Madrid, Spain.
Comput Methods Programs Biomed. 2020 Sep;193:105523. doi: 10.1016/j.cmpb.2020.105523. Epub 2020 May 1.
In the last decade, several technological solutions have been proposed as artificial pancreas systems able to treat type 1 diabetes; most often they are built based on a control algorithm that needs to be validated before it is used with real patients. Control algorithms are usually tested with simulation tools that integrate mathematical models related mainly to the glucose-insulin dynamics, but other variables can be considered as well. In general, the simulators have a limited set of subjects. The main goal of this paper is to propose a new computational method to increase the number of virtual subjects, with physiological characteristics, included in the original mathematical models.
A subject is defined by a set of parameters given by a mathematical model. From the available reduced number of subjects in the model, the covariance of each parameter of every subject is obtained to establish a mathematical relationship. Then, new sets of parameters are calculated using linear regression methods; this generates larger cohorts, which allows for testing insulin therapies in open-loop or closed-loop scenarios. The new method proposed here increases the number of subjects in a virtual cohort using two versions of Hovorka's mathematical model.
Two covariant cohorts are obtained with linear regression. Both cohorts are clustered to avoid overlapping in the glucose-insulin dynamics and are compared in terms of their qualitative and quantitative behaviours in the normoglycemic range. As a result, there have been generated two larger cohorts (256 subjects) than the original population, which contributes to improving the variability in in-silico tests. In addition, for analysing the characteristics of the covariant generation method, two random cohorts have been generated, where the parameters are obtained individually and independently from each other, exhibiting only distribution limitations so that these cohorts do not have physiological subjects.
The proposed methodology has enabled the generation of a large cohort of 256 subjects, with different characteristics that are plausible in the T1DM population, significantly increasing the number of available subjects in existing mathematical models. The proposed methodology does not limit the number of subjects that can be generated and thus, it can be used to increase the number of cohorts provided by other mathematical models in diabetes, or even other scientific problems.
在过去十年中,已提出多种技术解决方案作为能够治疗1型糖尿病的人工胰腺系统;这些系统大多基于一种控制算法构建,该算法在应用于真实患者之前需要进行验证。控制算法通常使用模拟工具进行测试,这些工具整合了主要与葡萄糖 - 胰岛素动力学相关的数学模型,但也可考虑其他变量。一般来说,模拟器所涵盖的受试者群体有限。本文的主要目标是提出一种新的计算方法,以增加原始数学模型中具有生理特征的虚拟受试者数量。
一个受试者由数学模型给出的一组参数定义。从模型中现有的数量有限的受试者出发,获取每个受试者各参数的协方差以建立数学关系。然后,使用线性回归方法计算新的参数集;这会生成更大的队列,从而能够在开环或闭环场景下测试胰岛素疗法。这里提出的新方法使用霍沃卡数学模型的两个版本增加了虚拟队列中的受试者数量。
通过线性回归获得了两个协变队列。两个队列都进行了聚类以避免在葡萄糖 - 胰岛素动力学方面出现重叠,并在正常血糖范围内对其定性和定量行为进行了比较。结果,生成了两个比原始群体更大的队列(256名受试者),这有助于提高计算机模拟测试中的变异性。此外,为了分析协变生成方法的特征,还生成了两个随机队列,其中参数是相互独立获取的,仅表现出分布限制,以至于这些队列不包含具有生理特征的受试者。
所提出的方法能够生成一个由256名受试者组成的大队列,这些受试者具有在1型糖尿病群体中合理的不同特征,显著增加了现有数学模型中可用受试者的数量。所提出的方法不限制可生成的受试者数量,因此,它可用于增加糖尿病领域其他数学模型甚至其他科学问题所提供的队列数量。