Blood Glycemia Reconstruction from Discrete Measurements using an Impulsive Observer

Rivadeneira, Pablo S.; Sereno, Juan E.; Magdelaine, Nicolas; Moog, Claude H.

doi:10.1016/j.ifacol.2017.08.2509

Cited by 7 publications

(7 citation statements)

References 16 publications

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“…Por consiguiente, se diseña por medio de un problema de asignación de autovalores del sistema. La sintonización y los resultados del uso de este observador pueden ser consultados en (Rivadeneira et al, 2017b).…”

Section: Formulación Del Observador De Luenberger Impulsivounclassified

“…Se debe aclarar que, para la implementación de estos controladores, se utilizó el esquema de la Fig. 2, con un observador de Luenberger (Rivadeneira et al, 2017b).…”

Section: Validación En Simulador Uva / Padova T1dmsunclassified

“…Para realizar una correcta estimación de los estados, el observador hace uso de las mediciones del sensor CGM y asume el conocimiento de las ingestas de comida. Dicho observador se presenta en detalle en (Rivadeneira et al, 2017b), donde además se expone los criterios de convergencia asintótica del mismo.…”

Section: Introductionunclassified

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Nuevas Estrategias de Control Glucémico en Pacientes con Diabetes Mellitus Tipo 1

Rivadeneira

Sereno

Caicedo

2019

Rev. iberoam. autom. inform. ind.

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<p>Actualmente la diabetes mellitus es un problema de salud pública mundial. En este trabajo, se proponen estrategias de control para mantener los niveles de glucosa en sangre de pacientes diabéticos tipo 1 en los rangos ideales en pro de la salud del paciente y su calidad de vida. La primera estrategia propone una retroalimentación de estados con restricciones de positividad, que en términos médicos representa la eliminación de episodios de hipoglucemia durante períodos prolongados de ayuno. Posteriormente, se realiza una extensión para lograr el rechazo de las perturbaciones por ingesta de alimentos, mediante el acoplamiento de un control proporcional, integral y derivativo. La segunda estrategia es un control predictivo con entrada impulsiva y regulación hacia una zona objetivo. Finalmente, el desempeño de las estrategias es evaluado en 50 pacientes virtuales extraídos de la literatura y en el Simulador UVa / Padova aprobado por la Food and Drug Administration de EEUU.</p>

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Section: Formulación Del Observador De Luenberger Impulsivounclassified

“…Se debe aclarar que, para la implementación de estos controladores, se utilizó el esquema de la Fig. 2, con un observador de Luenberger (Rivadeneira et al, 2017b).…”

Section: Validación En Simulador Uva / Padova T1dmsunclassified

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Nuevas Estrategias de Control Glucémico en Pacientes con Diabetes Mellitus Tipo 1

Rivadeneira

Sereno

Caicedo

2019

Rev. iberoam. autom. inform. ind.

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“…Thus analytic results obtained for simpler models can give insights into the behaviour of more comprehensive models. Hence, we focus on analytic properties of the Magdelaine (González et al, 2017;Magdelaine et al, 2015;Rivadeneira et al, 2017) and Bergman models (Kanderian et al, 2009;Bergman, 2005) of glucose-insulin dynamics.…”

Section: Introductionmentioning

confidence: 99%

Optimal Responses to Constrained Bolus Inputs to Models of T1D

Townsend¹,

Serón²,

Magdelaine³

2022

Preprint

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We characterise the bolus insulin input which minimises the maximum plasma glucose concentration predicted by the Magdelaine and Bergman minimal models in response to any positive bounded disturbance whilst remaining above a fixed lower plasma glucose concentration. This characterisation is in terms of the maxima and minima of the plasma glucose concentration and limits the controllability of such systems. Any further attempt to lower the maximum plasma glucose concentration will result in hypoglycaemia.

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“…18,19 At the within-host level, mathematical modeling has been used to capture the dynamics of different infectious diseases inside the host (patient) to understand the interaction of the pathogen and the immune system, as well as the scheduling of therapies. [20][21][22] Most mathematical models to represent bacterial dynamics are shown to be based on variations of the classical Verhulst logistic growth equation. For instance, the logistic model has served as a key mathematical tool in representing the growth of tumors 23 and microbes.…”

mentioning

confidence: 99%

Scheduling collateral sensitivity‐based cycling therapies toward eradication of drug‐resistant infections

Tetteh

Olaru

Crauel

et al. 2022

Intl J Robust & Nonlinear

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Drug resistant pathogens are a global public health threat and their control has become a challenging task. A new health paradigm has been proposed in recent years through clinical research, this is the sequential use of drugs where resistance to one drug induces sensitivity to another drug, a concept called collateral sensitivity and its converse is known as cross resistance. However, the order and time of cycling between drugs need to be tailored to the pathogen population presented in the host. Here, by abstracting mutation networks of collateral sensitivity based on switched systems, we explore the control theoretical aspects and implications of collateral sensitivity on the impact of eradication of drug-resistant pathogens. Our numerical simulations illustrate the potential implications of our approach to mitigate drug resistance or even eradicate pathogenic populations.

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Blood Glycemia Reconstruction from Discrete Measurements using an Impulsive Observer

Cited by 7 publications

References 16 publications

Nuevas Estrategias de Control Glucémico en Pacientes con Diabetes Mellitus Tipo 1

Nuevas Estrategias de Control Glucémico en Pacientes con Diabetes Mellitus Tipo 1

Optimal Responses to Constrained Bolus Inputs to Models of T1D

Scheduling collateral sensitivity‐based cycling therapies toward eradication of drug‐resistant infections

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