How do I simulate an immune response?

Open this page and use the live Windkessel Model tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive an immune response from your own measurements.

Use case · powered by Windkessel Model

Windkessel Model for an immune response

Simulate an immune response live in your browser. This runs the real Windkessel Model solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

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.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

About this simulation

The full Windkessel Model tool models an immune response with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Windkessel Model

Windkessel Model for a bacterial growth Windkessel Model for a predator-prey cycle Windkessel Model for a neuron firing Windkessel Model for a heartbeat Windkessel Model for a virus spread Windkessel Model for a gene expression Windkessel Model for a protein fold Windkessel Model for a muscle contraction

Other ways to simulate an immune response

Dynamical Systems for an immune response Epidemic Network for an immune response Spatial Predator–Prey for an immune response SIR Epidemic for an immune response Hodgkin-Huxley Neuron for an immune response Lotka-Volterra for an immune response

Frequently asked questions

How do I simulate an immune response?: Open this page and use the live Windkessel Model tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive an immune response from your own measurements.