A fully symbolic design and modeling of nonlinear glucose control with Control System Professional Suite (CSPS) of Mathematica.
In this case study a fully symbolic design and modeling method are presented for blood glucose control of diabetic patients under intensive care using Mathematica. The analysis is based on a modified two-compartment model proposed by Bergman et al. The applied feedback control law decoupling even the nonlinear model leads to a fully symbolic solution of the closed loop equations. The effectivity of the applied symbolic procedures being mostly built-in the new version of Control System Professional Suite (CSPS) Application of Mathematica have been demonstrated for controller design in case of a glucose control for treatment of diabetes mellitus and also presented for a numerical situation described in Juhász. The results are in good agreement with the earlier presented symbolic-numeric analysis by Benyó et al.
Budapest University of Technology and Economics, Budapest, Hungary.
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D000465:Algorithms; D001786:Blood Glucose / Q000378:metabolism*; D001825:Body Fluid Compartments / Q000502:physiology; D003920:Diabetes Mellitus / Q000097:blood*; D006801:Humans; D008954:Models, Biological; D008991:Monitoring, Physiologic / Q000379:methods*; D017711:Nonlinear Dynamics; D012984:Software
D001786:Blood Glucose