What is the Tumor Growth multi-solver?

Tumor Growth is a guided workflow that chains 2 individual PolySim solvers into one end-to-end analysis, piping each result into the next step.

Yes. Every step runs entirely in your browser using real numerics — no install, no account, no cloud cost. Custom or private solver packs are available as a paid service.

Biology & Aerospace Pack · Multi-Solver

Tumor Growth

Proliferation & dose. This multi-solver chains 2 solvers into a single guided workflow — run each step in order and carry the result forward.

Workflow steps

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Logistic Growth

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Logistic Population GrowthLive

growth with a ceiling

Controls

Presets

Growth rate r

Carrying capacity K

Initial population N₀

Exponential growth assumes unlimited resources and explodes without bound. Logistic growth adds a carrying capacity K: as the population nears K, growth slows and levels off in a characteristic S-curve. It is the foundation of ecology, epidemiology, and resource management.

▶ Run in Python

Data Inspector

Carrying capacity1000

Max growth atN = 500

Growth rate r0.50

Governing equation

\frac{d P}{d t} = 0.50 P (1 - \frac{P}{1000})

Reading this result: Classic S-curve: from N₀=20 the population grows fastest as it crosses the inflection point N=K/2=500, then decelerates and levels off at the carrying capacity K=1000.

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

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Reaction Diffusion

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Reaction-Diffusion (Gray-Scott)Live

Turing patterns from chemistry

Controls

Presets

Feed rate F

Kill rate k

Speed1×

Two chemicals diffuse and react by the Gray-Scott equations. Different feed and kill rates spontaneously form spots, stripes, and mazes — the mechanism Alan Turing proposed for animal coat patterns.

▶ Run in Python

Data Inspector

Feed F0.0545

Kill k0.0620

Steps0

Governing equation

\frac{\partial u}{\partial t} = D_{u} \nabla^{2} u - u v^{2} + F (1 - u), \frac{\partial v}{\partial t} = D_{v} \nabla^{2} v + u v^{2} - (F + k) v (F = 0.0545, k = 0.0620)

Reading this result: High feed (F=0.0545): abundant substrate lets spots grow and merge into branching maze and coral networks.

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

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More in the Biology & Aerospace pack

Epidemic Response Model Pharmacokinetics Suite Neuroscience Lab Population Ecology Lab Cardiac Rhythm Vaccine Strategy Enzyme Pathway Genetics Lab

Frequently asked questions

What is the Tumor Growth multi-solver?: Tumor Growth is a guided workflow that chains 2 individual PolySim solvers into one end-to-end analysis, piping each result into the next step.
Is it free to use?: Yes. Every step runs entirely in your browser using real numerics — no install, no account, no cloud cost. Custom or private solver packs are available as a paid service.