Microbial Growth Kinetics
Microbial growth in batch culture follows the exponential model during the log phase:
N(t) = N₀
× e^(µt)
Where:
• N(t) = Population at time t (cells, OD600, CFU, etc.)
• N₀ = Initial population
• µ = Specific growth rate (h⁻¹)
• t = Time
The doubling time is derived by setting N(t) = 2N₀:
Td = ln(2) / µ
≈ 0.693 / µ
This relationship holds only during balanced, unrestricted exponential growth. During lag or stationary phases, the model does not apply.
Growth Curve Phases
A typical microbial growth curve has four distinct phases:
• Lag phase: Cells adapt to new conditions — metabolic activity without division. Duration depends on inoculum age, media shift, and stress.
• Exponential (log) phase: Constant µ, population doubles at regular intervals. This is the ONLY phase where Td is valid.
• Stationary phase: Growth rate equals death rate. Nutrient depletion, waste accumulation, or quorum sensing limit growth.
• Death (decline) phase: Viability decreases as nutrients are exhausted.
Common pitfall: measuring doubling time across phases (e.g., from lag into log) underestimates the true exponential growth rate. Always restrict your measurement to the log phase.