Heparin is a blood-thinning drug (prevents coagulation). Heparin is broken down by the liver, and has...

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Heparin is a blood-thinning drug (prevents coagulation). Heparin is broken down by the liver, and has a half-life of 1.4 hours in the body. What type of mathematical model is immediately implied by the term 'half-life'? Exponential growth Exponential decay Logistic growth Logistic decay Heparin is a blood-thinning drug (prevents coagulation). Heparin is broken down by the liver, and has a half-life of 1.4 hours in the body. If the breakdown follows the model determine k Ok=-1.4 Ok=-1/1.4 k=-0.5 Ok=-2 Metabolism rate (in mg/hour) = k H If H (t) is the amount in (mg) of Heparin in a patient, at time t. The patient is being dosed at a rate of 4 mg/hour, and the Heparin is broken down with a half-life of 1.4 hours in the body. Which of the following is true? Hint: use the balance law: OdH 4-0.5H dt dH dt Net rate of change = rate in - rate out dt dH4t-0.5H dH4t-e-0.5t dt = 4-e-0.5t Solve the differential equation, to get a prediction of the Heparin levels (in mg) over time. dH 4-0.5H = dt Suppose H(0) two decimal places. Your Answer: Answer = Omg. Find the time when the Heparin level is 6 mg. Round to Heparin is a blood-thinning drug (prevents coagulation). Heparin is broken down by the liver, and has a half-life of 1.4 hours in the body. What type of mathematical model is immediately implied by the term 'half-life'? Exponential growth Exponential decay Logistic growth Logistic decay Heparin is a blood-thinning drug (prevents coagulation). Heparin is broken down by the liver, and has a half-life of 1.4 hours in the body. If the breakdown follows the model determine k Ok=-1.4 Ok=-1/1.4 k=-0.5 Ok=-2 Metabolism rate (in mg/hour) = k H If H (t) is the amount in (mg) of Heparin in a patient, at time t. The patient is being dosed at a rate of 4 mg/hour, and the Heparin is broken down with a half-life of 1.4 hours in the body. Which of the following is true? Hint: use the balance law: OdH 4-0.5H dt dH dt Net rate of change = rate in - rate out dt dH4t-0.5H dH4t-e-0.5t dt = 4-e-0.5t Solve the differential equation, to get a prediction of the Heparin levels (in mg) over time. dH 4-0.5H = dt Suppose H(0) two decimal places. Your Answer: Answer = Omg. Find the time when the Heparin level is 6 mg. Round to