Dw. Schaffner et al., ANALYSIS OF THE INFLUENCE OF ENVIRONMENTAL PARAMETERS ON CLOSTRIDIUM-BOTULINUM TIME-TO-TOXICITY BY USING 3 MODELING APPROACHES, Applied and environmental microbiology (Print), 64(11), 1998, pp. 4416-4422
This study used the technique of waiting time modeling to analyze the
combined effects of temperature, pH, carbohydrate, protein, and lipid
on the time-to-toxicity of Clostridium botulinum 56A. Waiting time mod
els can be used whenever the time to the occurrence of some event is t
he variable of interest, In the case of the time-to-toxicity data, the
variable is the time from the beginning of an experiment until a tube
is identified as positive. The statistical analysis used the SAS proc
edure LIFEREG and included determination of the form of the response s
urface, identification of the error distribution, and simplification o
f the response surface. We found that increasing the macromolecule con
centration decreased the probability of toxin formation. The probabili
ty of toxin formation also decreased at lower temperatures and at pHs
further from the optimum, The waiting time modeling approach to develo
ping models for botulinal toxin formation compared favorably with othe
r approaches but had one specific advantage. Waiting time models have
the inherent advantage that safety concerns regarding predictions are
automatically quantified in the analysis by formally identifying a dis
tribution of times-to-toxicity. The use of this time-to-toxicity distr
ibution permits a customizable margin of safety (e.g., one in a millio
n) not possible with other approaches.