Pharmacology · Case 09 · Learning Sample
How Drugs Move

Every time a patient swallows a tablet, four things happen.

Absorption enters blood
Distribution reaches tissues
Metabolism liver breaks it down
Elimination kidneys clear it
The drug dissolves in the gut, crosses the intestinal wall, and enters the bloodstream.

From the blood, the drug spreads into tissues throughout the body. A drug that stays in the blood stays concentrated. One that distributes widely becomes diluted.

Volume of
distribution.
Half-life.

Enzymes in the liver break the drug down. The kidneys filter what remains. How fast this happens determines the half-life.

Plot the concentration against time. It rises to a peak, then falls — Cmax, Tmax.
Too high → toxic. Too low → no effect.
The window is the space in between.

Pharmacokinetics is how you predict
where the curve lands.

Move the parameters. Watch the curve respond.

Parameters · Dosing
Dose D 400 mg
How much drug enters the body at once
Bioavailability F 80%
Fraction that reaches systemic circulation
Volume of distribution Vd 30 L
How widely the drug distributes into tissues
Half-life 4 hr
Time for concentration to fall by half
Absorption rate ka 2.0 /hr
Speed of absorption from the GI tract
Therapeutic Window
Min effective level 6 µg/mL
Max safe level 24 µg/mL
Concentration–Time Curve
Cmax
peak concentration
Tmax
time to peak
t½ effective
elimination
AUC (rel.)
total exposure
Tutor annotation
Adjust the parameters to start the simulation.
Reading the curve
Cmax is the peak — the highest concentration the body reaches after one dose.
Tmax is when the curve peaks — absorption rate vs. elimination rate.
Yellow band is the therapeutic window — drug must stay inside it to work without toxicity.
AUC is the total drug exposure — scales with dose and bioavailability.

This simulation uses a one-compartment oral PK model: C(t) = (F·D·ka) / (Vd·(ka−ke)) · (e−ket − e−kat). All parameters, drug names, and clinical scenarios are fictional and for educational purposes only. This is not clinical guidance.

Walkelia Fabián