Optimal Control for Type 1 Diabetes
Diabetes mellitus is a metabolic disease characterized by elevated concentrations of blood glucose for prolonged periods of time, which is a result of insufficient endocrine of insulin from β-cells of pancreas or inefficient use of insulin in the carbon hydrate metabolism. People with type 1 diabetes must rely on exogenous insulin for survival. The current treatment method requires daily multiple insulin injections or continuous subcutaneous insulin infusion delivered via a pump. In order to facilitate the use of “artificial pancreas, in this paper, the Pontryagin’s Maximum Principle is employed to develop a daily dosage profile for insulin infusion. A dynamic model (Hovorka 2004) which describes the blood glucose dynamics is adopted to simulate the blood glucose in a human body, which, in turns, is controlled by the infusion of insulin. Given initial conditions at a fasting period, an insulin profile that minimizes a quadratic cost function in a daily basis is generated by numerical optimization. Tradeoffs between cost function weighting of the insulin dose and the concentration of blood glucose are addressed.
Type 1 Diabetes Optimal Control Pontryagin’s Maximum Principle Glucose Insulin.
Yung-Lun Chen Jyh-Cheng Jeng I-Lung Chien Hsiao-Ping Huang
Department of Chemical Engineering,Taiwan University,Taipei 10617,Taiwan. Department of Chemical Engineering,Taiwan University of Science and Technology,43,Keelung Road,Sec.4
国际会议
西安
英文
2007-08-15（万方平台首次上网日期，不代表论文的发表时间）