## IV Infusion - Linear One Compartment

A 60 yo patient (U.L. 78 Kg) was started on intravenous antibiotic therapy at a dose of 900 mg over 60 minutes, twice a day, at 0900 and 2100 hr. On Day 2, three blood samples were collected and analyzed for drug concentration. These sample were determined to contain 22.9 mg/L (at 0845), 40.8 mg/L (at 1100) and 29.8 mg/L (at 2015).

 Day/Time (hhmm) Dose (mg/hr) Sample (mg/L) Day 1 at 0900 900 over 1 hr Day 1 at 2100 900 over 1 hr Day 2 at 0845 22.9 Day 2 at 0900 900 over 1 hr Day 2 at 1100 40.8 Day 2 at 2015 29.8

Calculate the kel, V, Clearance and t1/2 for this drug in this patient.

Hint: Sketch the expected concentration versus time curve for the second day.

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### Some Equations:

The elimination rate constant, kel can be calculated using Equation 6.2.1 Equation 6.2.1 An equation for determining kel from two data points

Remember drug concentration at future times can be determined using Equation 6.2.2. Equation 6.2.2 Concentration at another time

The concentration due to the next infusion can be calculated from Equation 6.2.3. Equation 6.2.3 Concentration versus time, post infusion

Rearranging Equation 6.2.2 and 6.2.3 gives us an equation for the apparent volume of distribution, Equation 6.2.4. Equation 6.2.4 Apparent volume of distribution

Problem by Dr Vincent Dennis, programming by Dr David Bourne.

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