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Inverse optimal neural control of blood glucose level for type 1 diabetes mellitus patients
Authors:Blanca S Leon  Alma Y Alanis  Edgar N Sanchez  Fernando Ornelas-Tellez  Eduardo Ruiz-Velazquez
Institution:1. CINVESTAV, Unidad Guadalajara, Apartado Postal 31-438, Plaza La Luna, Guadalajara, Jalisco, C.P. 45091, Mexico;2. CUCEI, Universidad de Guadalajara, Apartado Postal 51-71, Col. Las Aguilas, C.P. 45080, Zapopan, Jalisco, Mexico;3. Division de Estudios de Posgrado, Facultad de Ingenieria Electrica, UMSNH, F.J. Mugica SN, Ciudad Universitaria, Morelia, 58030 Mich., Mexico;1. Department of Mechanical Engineering, Centre for Bio-Engineering, University of Canterbury, Christchurch, New Zealand;2. Department of Intensive Care, Christchurch Hospital, Christchurch, New Zealand;1. Department of Applied Mathematics and Computer Science, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark;2. Danish Diabetes Academy, Odense University Hospital, DK-5000 Odense C, Denmark;3. Faculty of Electrical Engineering and Information Technology, Slovak University of Technology, SK-81243 Bratislava, Slovakia;4. Department of Bioanalysis & Pharmacokinetics, Zealand Pharma A/S, DK-2600 Glostrup, Denmark
Abstract:In this paper, inverse optimal neural control for trajectory tracking is applied to glycemic control of type 1 diabetes mellitus (T1DM) patients. The proposed control law calculates the adequate insulin delivery rate in order to prevent hyperglycemia and hypoglycemia levels in T1DM patients. Two models are used: (1) a nonlinear compartmental model in order to obtain type 1 diabetes mellitus virtual patient behavior, and (2) a neural model obtained from an on-line neural identifier, which uses a recurrent neural network, trained with the extended Kalman filter (EKF); the last one allows the applicability of an inverse optimal neural controller. The proposed algorithm is tuned to track a desired trajectory; this trajectory reproduces the glucose absorption of a healthy person. The applicability of the proposed control scheme is illustrated via simulations.
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