Example : An anesthetic drug has a biological half life of 1 hr, and Vd of 25 L. After administration of a single iv dose of 400 mg of this drug, the duration of effect was 4 hr. What is the minimum effective conc of this drug ? and what is the expected duration of effect if a single 800 mg dose of the drug is administered ?

MEC
Duration
If the duration of effect is 4
hr, the drug conc after 4 hr
should be equal to the MEC.
MEC
Duration
The duration of effect
is the time required for
the drug cons to
decrease to the MEC.

Answer:

MEC is the drug conc after 4 hr

Cp 4hr =

400 mg

25 L
e -0.693 (4 hr) = 1 mg/L
MEC = 1 mg/L

The duration of effect is the time required for the drug conc to decline to 1 mg/L:

1 mg/L =

800 mg

25 L
e -0.693 (t)
t = 5 hr

Notice that doubling the dose did not cause doubling of the duration of effect

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