Real food scenarios. Inter- and Extrapolation Predicting microbial response to food environment based on data generated on laboratory media. Interpolation in multidimension. Interpolation. Extrapolation. Strict interpolation region. NaCl (%). Temperature ( o C). pH.
The 2D interpolation region (Temp, pH) becomes smaller as salt concentration increases.
MMinimum Convex Polyhedrons M G U
M: Experimental conditions used to create the Model for growth RATE
G: Experimental conditions not used to fit the growth model but at which Growth was observed
U: Conditions at which the response is Unknown
NG: Conditions at which No Growth was the observed result
Predicting microbial responses to food environments based on data generated on laboratory media
Predicted and independently observed log-doubling times for Brochothrix thermosphacta. Broken line: safe prediction, above which there should not be more than 5% of the points.
Model in broth
Error of food predictions=
Bias2 + variance in food
Error of food predictions=
variance in food
Maximum specific growth rates observed in fresh meat vs model predictions
From which Bias: +39.0%
Error: 20% Bias: 0%
(estimation of variability in food)
Ln μpred – Ln μobs ≈ 0.39 (average bias)
corrector: c =exp(0.39) = 1.47
(the smaller is h, the moreexp(h) ≈ 1+ h can be used for paractical purposes!)
Correct the prediction with the bias factor: μobs ≈ μpred / cBroth-data-based predictive models of specific growth rate overestimate the rates in food scenario, where the variability is bigger
Worry: Listeria monocytogenes in soft cheese
Currently the “Use by” date is 8 days after purchase, assuming 4oC storage temperature.
The temperature happens to be in fact 7oC. How should the “Use by” date change without compromising safety?
By what factor should we decrease the storage time in order to compensate for the higher storage temperature?
3 oC increase in storage temperature halves the storage time if the safety level is to be kept unchanged.NB: No claim has been made that Listeria grows at 4 oC. Correct interpretation: if the temperature changes, then the “Use by” date should change according to the above rule for keeping the microbiological safety of the food against Listeria unchanged.
Which environmental effect is the “most important” ?
Wrong question. Correct formulation: A change in one environmental factor is equivalent to what change in another one ?
3 oC increase in storage temperature halves the storage time if the safety level is to be kept unchanged.What change in NaCl is needed to have equivalent effect to 3oC increase of the temperature?
3 oC increase in storage temperature is equivalent to 6.5 % added NaCl !