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基于延迟微分方程王模型的I型糖尿病患者血糖水平预测控制

Predictive Control of the Blood Glucose Level in Type I Diabetic Patient Using Delay Differential Equation Wang Model.

作者信息

Esna-Ashari Mojgan, Zekri Maryam, Askari Masood, Khalili Noushin

机构信息

Department of Medical Physics and Medical Engineering, School of Medicine, Isfahan University of Medical Sciences, Isfahan, Iran.

Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran.

出版信息

J Med Signals Sens. 2017 Jan-Mar;7(1):8-20.

Abstract

Because of increasing risk of diabetes, the measurement along with control of blood sugar has been of great importance in recent decades. In type I diabetes, because of the lack of insulin secretion, the cells cannot absorb glucose leading to low level of glucose. To control blood glucose (BG), the insulin must be injected to the body. This paper proposes a method for BG level regulation in type I diabetes. The control strategy is based on nonlinear model predictive control. The aim of the proposed controller optimized with genetics algorithms is to measure BG level each time and predict it for the next time interval. This merit causes a less amount of control effort, which is the rate of insulin delivered to the patient body. Consequently, this method can decrease the risk of hypoglycemia, a lethal phenomenon in regulating BG level in diabetes caused by a low BG level. Two delay differential equation models, namely Wang model and Enhanced Wang model, are applied as controller model and plant, respectively. The simulation results exhibit an acceptable performance of the proposed controller in meal disturbance rejection and robustness against parameter changes. As a result, if the nutrition of the person decreases instantly, the hypoglycemia will not happen. Furthermore, comparing this method with other works, it was shown that the new method outperforms previous studies.

摘要

由于糖尿病风险不断增加,近几十年来血糖测量及控制一直至关重要。在I型糖尿病中,由于缺乏胰岛素分泌,细胞无法吸收葡萄糖,导致血糖水平较低。为了控制血糖(BG),必须向体内注射胰岛素。本文提出了一种I型糖尿病血糖水平调节方法。该控制策略基于非线性模型预测控制。用遗传算法优化后的控制器旨在每次测量血糖水平并预测下一个时间间隔的血糖水平。这一优点使得控制量减少,即输送到患者体内的胰岛素速率降低。因此,该方法可以降低低血糖风险,低血糖是糖尿病血糖水平调节中因血糖水平过低导致的致命现象。分别应用两个延迟微分方程模型,即Wang模型和增强Wang模型作为控制器模型和被控对象。仿真结果表明,所提出的控制器在抗进餐干扰和参数变化鲁棒性方面具有可接受的性能。结果,如果人的营养突然减少,低血糖就不会发生。此外,将该方法与其他研究相比表明,新方法优于先前的研究。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b652/5394808/f7551a0e9d13/JMSS-7-8-g001.jpg

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