A fundamental control limitation for linear positive systems with application to Type 1 diabetes treatment

Goodwin, Graham C.; Medioli, Adrian M.; Carrasco, Diego S.; King, Bruce R.; Fu, Yongji

doi:10.1016/j.automatica.2015.02.041

Cited by 49 publications

(31 citation statements)

References 10 publications

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“…Recent research using mathematical modeling is consistent with previous studies and also raises questions about the validity of the linear insulin:carbohydrate ratio (ICR) (Goodwin, Medioli, Carrasco, King, & Fu, 2015). The concept of the ICR suggests that a certain amount of carbohydrate requires an exact amount of insulin.…”

Section: Introductionmentioning

confidence: 77%

The relationship between carbohydrate and the mealtime insulin dose in type 1 diabetes

Bell

King

Shafat

et al. 2015

Journal of Diabetes and its Complications

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Section: Introductionmentioning

confidence: 77%

The relationship between carbohydrate and the mealtime insulin dose in type 1 diabetes

Bell

King

Shafat

et al. 2015

Journal of Diabetes and its Complications

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“…Hence, one pays a price at T 1 for raising the minimum allowed blood glucose level. Note that Lemma 2 is the nonlinear equivalent of a corresponding linear result recently published by the authors in Goodwin et al (2015).…”

Section: A Closed Form Relationship Linking Carbohydrate Consumptionmentioning

confidence: 87%

Nonlinear Insulin to Carbohydrate Rule for Treatment of Type 1 Diabetes

et al. 2015

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This paper develops a nonlinear insulin to carbohydrate rule for use by type 1-diabetes patients. The goal is to refine the commonly used Insulin to Carbohydrate Ratio (ICR) formula. The latter is a strictly linear rule relating carbohydrates consumed to insulin infusion. The new relationship presented in this paper is nonlinear and depends on the availability of a nonlinear dynamic model describing a patient's blood glucose response to food and insulin. Such a model can be obtained by use of nonlinear system identification tools applied to patient test data. The suggested procedure is of similar complexity to the existing standard ICR rule. Hence it has the potential to be of clinical importance especially in developing countries where sophisticated solutions such as an artificial pancreas are unlikely to be used due to excessive cost. Simulations are presented which show that there exists a significant difference between the suggested insulin provided by the rule developed here and that given by the standard ICR rule.

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“…Considering the non-negative nature of blood glucose/insulin concentrations and infusion rates, the performance limitations of the diabetes control problem, without glucagon, has been likened to recent results regarding fundamental trade-offs limiting the achievable response in linear positive systems [132]. Despite nonlinearities in the UVa/Padova simulator, this approach may provide a means to obtain (in the ideal numerical case) the control signal that would give a near ideal combination of safety and performance, which has been suggested as a potential benchmarking tool for simulation studies on AP systems.…”

Section: Automated Therapy For Diabetesmentioning

confidence: 99%

Physiological Closed-Loop Control (PCLC) Systems: Review of a Modern Frontier in Automation

et al. 2020

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Over the past decade, there has been an unprecedented international focus on improved quality and availability of medical care, which has reignited interest in clinical automation and drawn researchers toward novel solutions in the field of physiological closed-loop control systems (PCLCs). Today, multidisciplinary groups of expert scientists, engineers, clinicians, mathematicians, and policy-makers are combining their knowledge and experience to develop both the next generation of PCLC-based medical equipment and a collaborative commercial/academic infrastructure to support this rapidly expanding frontier. In the following article, we provide a robust introduction to the various aspects of this growing field motivated by the recent and ongoing work supporting two leading technologies: the artificial pancreas (AP) and automated anesthesia. Following a brief high-level overview of the main concepts in automated therapy and some relevant tools from systems and control theory, we explore -separately -the developments, challenges, state-ofthe-art, and probable directions for AP and automated anesthesia systems. We then close the review with a consideration of the common lessons gleaned from these ventures and the implications they present for future investigations and adjacent research.

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A fundamental control limitation for linear positive systems with application to Type 1 diabetes treatment

Cited by 49 publications

References 10 publications

The relationship between carbohydrate and the mealtime insulin dose in type 1 diabetes

The relationship between carbohydrate and the mealtime insulin dose in type 1 diabetes

Nonlinear Insulin to Carbohydrate Rule for Treatment of Type 1 Diabetes

Physiological Closed-Loop Control (PCLC) Systems: Review of a Modern Frontier in Automation

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