Diabetes mellitus is characterized by insufficiency of thepancreas to produce enough insulin to regulate the blood sugarlevel. In type I diabetes, the pancreas produces no insulin, andthe patient is totally dependent on insulin from an externalsource to be infused at a rate to maintain blood sugar levelsat normal levels. Hyperglycemia occurs when blood glucoselevel rises much higher than the norm (>8 mmol/L) for pro-longed periods of time; hypoglycemia occurs when the blood sugar level falls below values of 3 mmol/L. Both situations canbe deleterious to the individual’s health. The normal range ofblood sugar is between 3.8 and 5.6 mmol/L, the target rangefor a controller regulating blood sugar.A patient with type I diabetes needs your help to maintainher blood sugar within an acceptable range (3 mmol/L<glucose<8 mmol/L). She has just eaten a large meal (a disturbance) that you estimate will release glucose accord-ing toD(t)=0.5e−0.05t,wheretis in minutes andD(t)is inmmol/L – min. She has a subcutaneous insulin pump that canrelease insulin up to 115 mU/min (mU=10−3Unit of Insulin).The flow rate of insulin is the manipulated variable. Assumethat the blood glucose level can be measured by taking bloodinsulin samples infrequently.Discuss control strategies that maybe useful for solving this problem. Explain why a given strat-egy might be appropriate but also indicate possible pitfalls.
Diabetes mellitus is characterized by insufficiency of thepancreas to produce enough insulin to regulate the blood sugarlevel. In type I diabetes, the pancreas produces no insulin, andthe patient is totally dependent on insulin from an externalsource to be infused at a rate to maintain blood sugar levelsat normal levels. Hyperglycemia occurs when blood glucoselevel rises much higher than the norm (>8 mmol/L) for pro-longed periods of time; hypoglycemia occurs when the blood sugar level falls below values of 3 mmol/L. Both situations canbe deleterious to the individual’s health. The normal range ofblood sugar is between 3.8 and 5.6 mmol/L, the target rangefor a controller regulating blood sugar.A patient with type I diabetes needs your help to maintainher blood sugar within an acceptable range (3 mmol/L<glucose<8 mmol/L). She has just eaten a large meal (a disturbance) that you estimate will release glucose accord-ing toD(t)=0.5e−0.05t,wheretis in minutes andD(t)is inmmol/L – min. She has a subcutaneous insulin pump that canrelease insulin up to 115 mU/min (mU=10−3Unit of Insulin).The flow rate of insulin is the manipulated variable. Assumethat the blood glucose level can be measured by taking bloodinsulin samples infrequently.Discuss control strategies that maybe useful for solving this problem. Explain why a given strat-egy might be appropriate but also indicate possible pitfalls.
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