Journal of Industrial Microbiology

, Volume 12, Issue 3–5, pp 221–231

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

  • Kenneth M. Pruitt
  • David N. Kamau


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 models Survival models Bacterial growth Bacterial inhibition Bacterial survival D values Combined stress Listeria monocytogenes Staphylococcus aureus 


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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

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