文章基本信息

标题：Characterisation of Optimal Responses to Pulse Inputs in the Bergman Minimal Model
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作者：Christopher Townsend ; Maria M. Seron ; Graham C. Goodwin 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：15163-15168
DOI：10.1016/j.ifacol.2017.08.2263
语种：English
出版社：Elsevier
摘要：AbstractThe Bergman minimal model is a dynamic model of plasma glucose concentration. It has two input variables - insulin delivery and carbohydrate intake. We investigate the behaviour of plasma glucose concentration predicted by the model given carbohydrate (CHO) inputs and commensurate insulin inputs. We observe that to maintain plasma glucose above a specified minimum concentration results in an unavoidable peak in plasma glucose. Additionally, we specify the timing and magnitude of a bolus pulse to minimise this unavoidable peak in plasma glucose concentration whilst attaining but not going below the desired minimum glucose concentration. Finally, we obtain necessary and sufficient conditions for the glucose concentration to be minimised.
关键词：Keywordscontrol of constrained systemsnon-linear systemspositive systemsperformance limitationsblood glucose regulationdiabetesBergman minimal modelArtificial Pancreas