{"title":"Nonlinear Optimal Control of Postprandial Blood Glucose Response for Patients With Type 2 Diabetes or Prediabetes by Meal Order","authors":"Andrey V. Savkin, Xiaotian Feng","doi":"10.1049/cth2.70113","DOIUrl":null,"url":null,"abstract":"<p>Recent experimental studies show that changing meal order without reducing the food quantity or changing food type can significantly reduce postprandial glucose blood responses of individuals with type 2 diabetes and prediabetes. This paper proposes a relatively simple non-linear mathematical model describing the effect of meal order and timing on postprandial glucose response. The problem of optimal control of postprandial blood glucose response by meal order is stated and solved for the proposed non-linear model. The proposed model is successfully verified using recently published experimental data. Computer simulations with several realistic examples show the effectiveness of the proposed optimal control method.</p>","PeriodicalId":50382,"journal":{"name":"IET Control Theory and Applications","volume":"20 1","pages":""},"PeriodicalIF":2.0000,"publicationDate":"2026-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/cth2.70113","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IET Control Theory and Applications","FirstCategoryId":"94","ListUrlMain":"https://ietresearch.onlinelibrary.wiley.com/doi/10.1049/cth2.70113","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
Recent experimental studies show that changing meal order without reducing the food quantity or changing food type can significantly reduce postprandial glucose blood responses of individuals with type 2 diabetes and prediabetes. This paper proposes a relatively simple non-linear mathematical model describing the effect of meal order and timing on postprandial glucose response. The problem of optimal control of postprandial blood glucose response by meal order is stated and solved for the proposed non-linear model. The proposed model is successfully verified using recently published experimental data. Computer simulations with several realistic examples show the effectiveness of the proposed optimal control method.
期刊介绍：
IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces.
Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed.
Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.
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