Calculadora de Constante de Taxa de Crescimento — Formula
## Exponential Growth Prediction
With a known growth rate, you can predict future population sizes during exponential growth.
### Formulas
**k = ln(2) / td** (growth rate from doubling time)
**N(t) = N0 × e^(kt)** (population at time t)
These predictions are valid only during log-phase growth. In reality, nutrients become limiting and growth slows as the population approaches carrying capacity.
With a known growth rate, you can predict future population sizes during exponential growth.
### Formulas
**k = ln(2) / td** (growth rate from doubling time)
**N(t) = N0 × e^(kt)** (population at time t)
These predictions are valid only during log-phase growth. In reality, nutrients become limiting and growth slows as the population approaches carrying capacity.
Exemplo Resolvido
Starting with 1000 cells, doubling time 8 hours, predict at 48 hours.
- k = ln(2) / 8 = 0.0866 h⁻¹
- Generations = 48 / 8 = 6.0
- N(48) = 1000 × e^(0.0866 × 48) = 1000 × e^4.159 = 1000 × 64 = 64,000 cells