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Transcript
Drugs in the Body (1) Recurrence Relations Drugs in the Body A patient is given an initial dose of 50mg of a drug. Each hour the patient is given a 20mg tablet of the drug. The drug has a decay factor of 70% ie. every 20 minutes , 70% of the drug remains in the body. Set up a recurrence relation and use it to determine the long term state of the drug in the body. Drugs in the Body A patient is given an initial dose of 80mg of a drug. This drug is given in tablet form as 30mg tablets every hour. The drug has a decay factor of 85% ie. every 15 minutes , 85% of the drug present in the body at the start of the 15 minute interval remains in the body. Set up a recurrence relation and use it to determine the long term state of the drug in the body. Drugs in the Body Initial dose : 120mg Tablet : 40 mg tablet given every hour. Decay factor : The drug has a decay factor of 68% ie. every 30 minutes , 68% of the drug present in the body at the start of the 30 minute interval remains in the body. Set up a recurrence relation and use it to determine the long term state of the drug in the body. Solutions Drugs in the Body (1) Q1. An+1=0.343An + 20, A0 = 50 Limit: L = 30.44 grams Q2. An+1=0.522An + 30, A0 = 80 Limit: L = 62.76 grams Q3. An+1=0.4624An + 40, A0 = 120 Limit: L = 74.4 grams