Bacterial Population Growth Calculator

Model exponential bacterial growth - Calculate cell populations, generation times, and growth rates

Select Calculation Mode

Input Parameters

cells
per hour
minutes

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

  1. Lag Phase: Adaptation period, minimal growth
  2. Log Phase: Exponential growth (this calculator)
  3. Stationary Phase: Growth rate equals death rate
  4. 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 hours

Calculation 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