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For Students · Windkessel Model

Windkessel Model for a fish population

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 fish population live below — adjust the inputs and watch it respond, right in your browser.

Windkessel (Arterial Pressure)Live

why arteries smooth the pulse

Controls

Presets

Vascular resistance R

Arterial compliance C

Heart rate (bpm)

Stroke volume (mL)

The Windkessel model treats the aorta as an elastic reservoir: each heartbeat pumps blood in, and the artery's compliance stores it and releases it smoothly between beats. Stiffer arteries (low compliance) give sharper, higher pressure swings. Educational tool, not medical advice.

▶ Run in Python

Data Inspector

Approx. pressure80 mmHg

Time constant RC1.50 s

Cardiac output4.9 L/min

Governing equation

1.5 \frac{d P}{d t} + \frac{P}{1.0} = Q (t)

Reading this result: With this balance the aorta stores each stroke and releases it gradually, keeping the pulse gentle.

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Frequently asked questions

Is this good for students?: Yes — this version of "Windkessel Model for a fish population" 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.