A group of patients is given a certain dose of a drug once. The patients eliminate...

 

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A group of patients is given a certain dose of a drug once. The patients eliminate the drug at a steady rate. Two measurements of the drug concentration in the blood are taken 24 hours apart to determine the rate at which the drug is removed from the blood stream. The measurements are given below. 1 2 0.1 0.3 0.1 0.6 0.2 0.9 + 0.3 a) Find the value of a that will give a DTDS of the form t+1=axt for the drug removal, where t is in days. Express a as a simple fraction. Answer: a = b) For patient 4, assuming elimination at a continuous rate, exactly how long will it take until the drug concentration is below or equal to 0.01? Give your answer with an accuracy of at least two decimal points. Answer: days c) Exactly how long does it take for the initial concentration to decrease by 50% ? Give your answer with an accuracy of at least two decimal points. 3 patient 4 initial measurement (t=0) measurement after 24 hours Answer: 0.033333 days d) Suppose patients are now given a dose b every 24 hours; namely, we have the DTDS t+1= axt+b, where a is the value found in part (a) above. How large should this dose be in order for the steady state concentration to be 3/5? Give an exact answer, not a decimal. Answer: b== A group of patients is given a certain dose of a drug once. The patients eliminate the drug at a steady rate. Two measurements of the drug concentration in the blood are taken 24 hours apart to determine the rate at which the drug is removed from the blood stream. The measurements are given below. 1 2 0.1 0.3 0.1 0.6 0.2 0.9 + 0.3 a) Find the value of a that will give a DTDS of the form t+1=axt for the drug removal, where t is in days. Express a as a simple fraction. Answer: a = b) For patient 4, assuming elimination at a continuous rate, exactly how long will it take until the drug concentration is below or equal to 0.01? Give your answer with an accuracy of at least two decimal points. Answer: days c) Exactly how long does it take for the initial concentration to decrease by 50% ? Give your answer with an accuracy of at least two decimal points. 3 patient 4 initial measurement (t=0) measurement after 24 hours Answer: 0.033333 days d) Suppose patients are now given a dose b every 24 hours; namely, we have the DTDS t+1= axt+b, where a is the value found in part (a) above. How large should this dose be in order for the steady state concentration to be 3/5? Give an exact answer, not a decimal. Answer: b==