Figura 4 - uploaded by Diego Alexander Tibaduiza Burgos
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... In order to solve this problem, is obtained a dynamic model represented by transfer functions that relate the variable to control in one patient (peripheral blood glucose) to the two inputs to the process (intake of glucose and insulin injection ) from the identification technique ,for this, is applied the principle of superposition and obtained a transfer function for each input-output relationship. Since Sorensen model is nonlinear in some parameters dependent variables patient's condition (such as metabolic rates), to obtain the transfer functions taken was neccesary into account various operating conditions and percentage change in rates metabolic [6], [7]. ...
Type I diabetes mellitus is a metabolic disease in which pancreas does not produce enough insulin to regulate glucose in the human body between normal levels. This disorder implies that diabetic patient must regularly take insulin shots and it should be revised to regulate levels. Currently, once a person is diagnosed diabetic, doctor defines a dosise based on some patient parameters, such as sedentary lifestyle, age, weight, etc. This adjustment, is in some cases, traumatic for patient because sometimes the dosage is not correct and doctor should modify it. In this paper, a synthesized dynamic model of glucose concentrations in the blood for patients with type I diabetes mellitus is presented. It was obtained from the dynamic model of Sorensen, which represents the glucose, insulin and glucagon dynamics, with 19 nonlinear differential equations. Identification process was achieved to obtain the linear synthesized model by using inputs and outputs from the simulated model proposed by Sorensen. Also controller design was achieved by using two different strategies (PID and Quantitative Feedback Theory) in order to regulate automatically glucose levels within normal levels similar to healthy patient glucose profiles.
