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For Students · Tumor Growth

Tumor Growth for a heartbeat

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

Tumor GrowthLive

Gompertz & logistic dynamics

Controls

Presets

Model

Initial size N₀

Carrying capacity K

Growth rate b

Tumors do not grow exponentially forever — they slow as they outstrip their blood supply. Gompertz and logistic models both bend toward a carrying capacity, with growth fastest early on. This shape guides how treatments are timed. Educational tool, not medical advice.

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Data Inspector

Size at day 100955

Time to half-max46 days

Carrying capacity1000

Governing equation

\frac{d V}{d t} = bV ln \frac{K}{V}, b = 0.05, K = 1000

Reading this result: The Gompertz curve reaches half of its 1000-cell ceiling around day 46; growth is fastest early on and flattens as it nears carrying capacity.

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Frequently asked questions

Is this good for students?: Yes — this version of "Tumor Growth for a heartbeat" 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.