Abstract

Matters pertaining to application of a recently published model of spore population dynamics during lethal heating are addressed as an aid to persons who would apply the model. That model accounts for activation of dormant spores in addition to inactivation of both activated and dormant spores. An interpretive, mathematical, system analysis of the model and its dynamic response during isothermal, lethal heating is presented. It includes effects of parameter values and sizes of initial subpopulations, relation to the traditional, first-order model, and parameter estimation. Activation is shown to add a second exponential term to the single, decaying, exponential response of the traditional model of survivor curves that may cause common deviations of experimental curves from simple exponential decay early in a treatment (shoulder effect). The analyses presented were readily accomplished by microcomputer. A program for estimating parameters and comparing experimental and model-predicted isothermal survivor curves is presented with an illustrative numerical example.

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