Chapter 4

One Compartment IV Bolus

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IV Bolus - Example 2

We can also calculate the pharmacokinetic parameters kel and V if we know the dose given and the plasma concentrations at two (or more) times after an IV bolus administration. This time we will use Equation 4.12.1

kel from Cp1 and Cp2

Equation 4.12.1 Kel calculated from Two Concentration Values

Question: If Cp2 hours is 4.5 mg/liter and Cp6 hours is 3.7 mg/liter after a 400 mg IV bolus dose what are the values of kel and V.

Now using either the 2 hour or the 6 hour data point calculate the concentration at time zero.

And now

V = 80.6 L

Equation 4.12.2 V from Dose and Cp0


Clearance = 3.94 L/hr

Equation 4.12.3 Clearance from kel and V

Try your own calculation

Calculator 4.12.1 Calculate Parameter Values from Two Data Points Collected after an IV Bolus

IV Bolus Dose:
First concentration:
Time of first Cp value:
Second concentration:
Time of second Cp value:
kel is:
t1/2 is:
Cp0 is:
V is:
and Clearance is:

If you get the Error Message Value is not a numeric literal or NaN this probably means that one of the required parameter fields is empty or a value is inappropriate.
Another example. A 45 yr, 74 kg male patient with severe severe infection is started on a new drug. He is given 100 mg as an intravenous bolus. This patient has poor renal function so blood samples were collected at 2 and 12 hours to determine the pharmacokinetics of this drug in this patient. The concentrations were 18.6 and 13.1 mg/L, respectively. If the minimum effective concentration is 10 mg/L calculate the when the next dose should given AND the dose required to increase the concentration back close to the maximum therapeutic concentration or 25 mg/L. HINT: Calculate kel, Cp0, t(10mg/L), V, and next dose.



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