A fully symbolic design and modeling of nonlinear glucose control with Control System Professional Suite (CSPS) of Mathematica.
A fully symbolic design and modeling of nonlinear glucose control with Control System Professional Suite (CSPS) of Mathematica.
复制标题
使用 Mathematica 的控制系统专业套件 (CSPS) 进行非线性葡萄糖控制的完全符号设计和建模。
DOI：
10.1556/aphysiol.91.2004.2.6
复制
发表时间：
2004
影响因子：
--
通讯作者：
Z. Benyó
中科院分区：
文献类型：
--
作者：
L. Kovács;B. Benyó;B. Paláncz;Z. Benyó
在本个案研究中，我们使用Mathematica为糖尿病患者在重症监护下的血糖控制提出一个完全符号化的设计与建模方法。该分析是基于Bergman等人提出的修改后的两室模型。应用反馈控制律解耦甚至非线性模型导致闭环方程的完全符号解。应用的符号程序的有效性主要是内置在新版本的控制系统专业套件（CSPS）应用Mathematica已被证明为控制器设计的情况下，血糖控制治疗糖尿病，也提出了一个数值的情况下描述的Juhász。结果是在良好的协议与先前提出的符号数值分析Benyó等人。
In this case study a fully symbolic design and modeling method are presented for blood glucose control of diabetic patients under intensive care using Mathematica. The analysis is based on a modified two-compartment model proposed by Bergman et al. The applied feedback control law decoupling even the nonlinear model leads to a fully symbolic solution of the closed loop equations. The effectivity of the applied symbolic procedures being mostly built-in the new version of Control System Professional Suite (CSPS) Application of Mathematica have been demonstrated for controller design in case of a glucose control for treatment of diabetes mellitus and also presented for a numerical situation described in Juhász. The results are in good agreement with the earlier presented symbolic-numeric analysis by Benyó et al.