How do I simulate a mutation rate?

Open this page and use the live Mutation–Selection 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 a mutation rate from your own measurements.

Use case · powered by Mutation–Selection

Mutation–Selection for a mutation rate

Simulate a mutation rate live in your browser. This runs the real Mutation–Selection 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

Mutation–Selection BalanceLive

evolution of an allele

Controls

Presets

Selection coefficient s

Mutation rate µ

Starting frequency p₀

Selection pushes a favorable allele toward fixation, while mutation keeps feeding the alternative back in. The two forces settle at a mutation–selection balance — which is why harmful alleles never fully disappear from a population. Educational tool.

▶ Run in Python

Data Inspector

Equilibrium frequency0.043

Directionfalling

Governing equation

\overset{q}{^} = \frac{μ}{s} = \frac{0.001}{0.1} = 0.100

Reading this result: Selection pushes the allele up while mutation feeds the alternative back in; they settle at the equilibrium frequency shown.

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 Mutation–Selection tool models a mutation rate 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 Mutation–Selection

Mutation–Selection for a bacterial growth Mutation–Selection for a predator-prey cycle Mutation–Selection for a neuron firing Mutation–Selection for a heartbeat Mutation–Selection for a virus spread Mutation–Selection for a gene expression Mutation–Selection for a protein fold Mutation–Selection for a muscle contraction

Other ways to simulate a mutation rate

Dynamical Systems for a mutation rate Epidemic Network for a mutation rate Spatial Predator–Prey for a mutation rate SIR Epidemic for a mutation rate Hodgkin-Huxley Neuron for a mutation rate Lotka-Volterra for a mutation rate

Frequently asked questions

How do I simulate a mutation rate?: Open this page and use the live Mutation–Selection 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 a mutation rate from your own measurements.