Friday

November 21, 2014

November 21, 2014

Posted by **Jake** on Tuesday, April 17, 2012 at 2:09pm.

in m(t) - (a/k)(1-e^-kt), for t (=>)0, where k is the rate constant (again related to half life) and A is the rate at which drug flows into the blood (in units of mg/hr)

7.

Suppose an antibiotic with a half life of 12 hours is given to a patient intravenously at a rate of A=50mg/hr.

find the rate constant k

8.

what is the steady-state level of the antibiotic in step 7? that is, evaluate lim(t-> infinity)m(t).

9.

In general, what is the steady state level of a drug delivered by infusion in terms of A and K?

in general at what time does the drug level reach 90% of the steady state level, in terms of A and K?

10.

Based on patients weight, a doctor targets a steady state level of tetracycline of 100mg through infusion.

what infusion rate A should be used? The half life of tetracycline is 9 hr.

11.

in step 10, at what time does the drug level reach 90% of the steady state level? At that time,

how much drug has actually been delivered?

12.

Suppose a patient has been on infusion of tetracycline for 72 hours with infusion rate as found in step 10,

when the delivery is terminated. How long does it take for the drug level in the blood to reach 2mg?

**Answer this Question**

**Related Questions**

Chemisrty - An intravenous line provides a continuous flow of drug directly into...

CALCULUS PLEASE HELP - suppose m(0) milligrams of a drug are put in the blood of...

CALCULUS PLEASE HELP!! - suppose m(0) milligrams of a drug are put in the blood ...

CALCULUS PLEASE HELP!! - suppose m(0) milligrams of a drug are put in the blood ...

Advanced Math Help! - suppose m(0) milligrams of a drug are put in the blood of ...

Calculas - suppose m(0) milligrams of a drug are put in the blood of an ...

hard math question - When a certain drug enters the blood stream, its potency ...

Math - A drug is eliminated from bloodstream exponentially with half life of ...

economics in healthcare - 6. Calculate Herfindahl Index and Concentration Ratios...

Calculus - 24. A pharmaceutical company has determined that a realistic model ...