Answer Happy

A drug is to be delivered via repeated intravenous infusions, each lasting for 30 minutes. The drug has a rate of elimination from the bloodstream of k = 0.2 hr-1 and the effective volume is V = 30L. The guidelines for this drug state that its concentration should be kept above 10 mg/L to be effective, and below 25 mg/L to avoid overdosing. What is the longest we can wait between infusions to ensure that the drug is administered safely and effectively (to the nearest hour), and what should the infusion rate r be to the nearest 10 mg/hr) for this regime? Include a plot of the concentration kinetics for this regime for 24 hours and describe the behaviour. (12 marks)