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For Students · Pharmacokinetics

Pharmacokinetics for a predator-prey cycle

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a predator-prey cycle live below — adjust the inputs and watch it respond, right in your browser.

PharmacokineticsLive

how a drug rises and clears

Controls

Presets

Dose (mg)

Volume of distribution (L)

Half-life (h)

Absorption rate ka (/h)

Oral dose (absorption phase)

After a dose, drug concentration rises as it absorbs, then falls exponentially as the body clears it. The half-life sets the decline; the goal is to stay inside the therapeutic window — high enough to work, low enough to be safe. Educational tool, not medical advice.

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Data Inspector

Peak concentration12.02 mg/L

Time to peak1.9 h

Elimination rate ke0.173 /h

Governing equation

C (t) = \frac{500}{30} e^{- 0.173 t}, t_{1/2} = \frac{ln 2}{k _{e}} = 4 h

Reading this result: Absorption (ka 1.2/h) is much faster than elimination, so the drug reaches its peak quickly (about 1.9 h) and the curve then tracks the 4-hour half-life on the way down.

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Frequently asked questions

Is this good for students?: Yes — this version of "Pharmacokinetics for a predator-prey cycle" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.