Insulin/Glucose dynamics is of fundamental importance for us to understand and develop treatment for diabetes. Let y(t)

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Insulin Glucose Dynamics Is Of Fundamental Importance For Us To Understand And Develop Treatment For Diabetes Let Y T 1 (133.91 KiB) Viewed 27 times

Insulin/Glucose dynamics is of fundamental importance for us to understand and develop treatment for diabetes. Let y(t) be the blood glucose concentration ( mg/dL), and u(t) be the intraperitoneal insulin (U/h). Then from clinical data, the continuous transfer function from u to y is G(s) = -12000(TDI)-¹ (247s+1)(17s+1)² where TDI is a positive constant representing the total daily insulin dose of the patient. 400 Glucose Insulin 200 Pancreas Stomach) Tissue 100 150 Liver- -Stomach -Pancreas Large intestine - Small intestine Liver Tissue 50 100 150 Time [min] Assume y(t) starts from y(0) = 0. Describe the main features that we can expect from the response of y(t) when u(t) is a unit step input, and explain how these features are determined from the transfer function. Glucose in blood Glucose [mg/dl] Insulin [µU/ml] 09 100 50 50