For K-12 Students · Logistic Growth
Logistic Growth for a bioreactor
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 a bioreactor live below — adjust the inputs and watch it respond, right in your browser.
Logistic Population GrowthLive
growth with a ceiling
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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.
Data Inspector
Carrying capacity1000
Max growth atN = 500
Growth rate r0.50
Governing equation
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.
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Frequently asked questions
- Is this good for k-12 students?
- Yes — this version of "Logistic Growth for a bioreactor" 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.