What is Bacterial Population Growth Calculator?
Bacterial populations grow exponentially during the log phase, with cells dividing at constant rates. Model bacterial growth using the equation: N(t) = N₀ × e^(rt) for any bacteria species.
Key Growth Parameters
- Growth Rate (r): Rate of exponential increase
- Generation Time (g): Time for population to double
- Specific Growth Rate (μ): ln(2)/generation time
- Number of Generations: log₂(Nₜ/N₀)
Growth Phases
- Lag Phase: Adaptation period, minimal growth
- Log Phase: Exponential growth (this calculator)
- Stationary Phase: Growth rate equals death rate
- Death Phase: Nutrients depleted, cells die
Common Bacteria Doubling Times
E. coli: 20 minutes (optimal)
B. subtilis: 30 minutes
S. aureus: 30-40 minutes
M. tuberculosis: 12-24 hoursCalculation Modes
This calculator offers four modes:
- Calculate final population after time
- Find time to reach target population
- Determine growth rate from data
- Calculate generation/doubling time
Applications
- Fermentation process planning
- Contamination risk assessment
- Culture preparation timing
- Antibiotic efficacy studies
- Food safety predictions