PHYSICAClass 11 Botany simulations · Plant Growth and Development
Arithmetic, geometric and sigmoid growth
Grow a root by arithmetic growth or a cell population by geometric growth, and see the S-shaped curve when resources limit growth.
What to notice
Geometric growth starts slowly, accelerates (log phase) and then slows as nutrients run short — giving a sigmoid curve.
Key relation
Arithmetic: L_t = L₀ + rt ; geometric: W₁ = W₀e^(rt)
Try this
Compare the two growth types at the same rate r.
What you can change
- Growth: choose Arithmetic (root elongation), Geometric → sigmoid (cell number)
- Growth rate r: 0.05 to 0.5 per day
- Day: 0 to 40 day
More in Plant Growth and Development
See all Class 11 Botany simulations or every Physica simulation.