Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For K-12 Students · Pharmacokinetics Suite

Pharmacokinetics Suite for an immune response

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate an immune response live below — adjust the inputs and watch it respond, right in your browser.

Radioactive Decay

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Radioactive DecayLive

exponential decay · half-life

Controls

Speed1×

Every half-life, half the remaining atoms decay. After n half-lives, only (1/2)ⁿ is left — the basis of carbon dating and nuclear physics.

Presets

Half-life

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Data Inspector

Half-life4.0

Time0.0

Remaining100.0%

Half-lives0.00

Governing equation

N (t) = N_{0} e^{- λ t}, λ = \frac{ln 2}{4.0} = 0.173

Reading this result: Each half-life removes half of whatever remains, so the curve falls steeply at first and then flattens into a long tail.

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

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Monte Carlo

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Monte Carlo Price SimulationLive

geometric Brownian motion

Controls

Presets

Initial price S₀

Expected return μ

Volatility σ

Horizon (years)

Geometric Brownian motion models a price with constant drift and random volatility — the assumption behind Black-Scholes. Running hundreds of simulated paths reveals the full distribution of outcomes, not just an average. Educational tool, not investment advice.

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Data Inspector

Median outcome$0

5th percentile$0

95th percentile$0

Governing equation

S_{t + Δ t} = S_{t} e^{(0.07 - \frac{0. 2 ^{2}}{2}) Δ t + 0.2 Δ t Z}, \tilde{S}_{1} \approx $0

Reading this result: Median outcome is about $0, just under the drift-only $107 — GBM compounds in log-space, so volatility always pulls the typical path below the average.

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

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Frequently asked questions

Is this good for k-12 students?: Yes — this version of "Pharmacokinetics Suite for an immune response" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.