Journal of Industrial Microbiology

, Volume 12, Issue 3, pp 221–231

Mathematical models of bacterial growth, inhibition and death under combined stress conditions

  • Kenneth M. Pruitt
  • David N. Kamau

DOI: 10.1007/BF01584194

Cite this article as:
Pruitt, K.M. & Kamau, D.N. Journal of Industrial Microbiology (1993) 12: 221. doi:10.1007/BF01584194


In this report we review the history of growth theories. We show how classical growth models may be derived as special cases of a generic growth rate equation. We show how growth models may be modified to represent survival data. We use linear combinations of growth and survival models to represent complex growth/survival curves and give practical examples utilizing nonlinear regression analysis. We show that traditional methods of estimating D values are inappropriate for complex, multiphasic growth/survival data. We show how such data may be modeled mathematically and illustrate methods for estimating true D values from such data.

Key words

Growth modelsSurvival modelsBacterial growthBacterial inhibitionBacterial survivalD valuesCombined stressListeria monocytogenesStaphylococcus aureus

Copyright information

© Society for Industrial Microbiology 1993

Authors and Affiliations

  • Kenneth M. Pruitt
    • 1
  • David N. Kamau
    • 2
  1. 1.UAB StationUniversity of Alabama at BirminghamBirminghamUSA
  2. 2.Tuskegee UniversityTuskegeeUSA