Baranyi (locked by owner)
Simulation URL
https://sels.tecnico.ulisboa.pt/matlab/simulators/baranyia.cgi
Parameter estimation URL
https://sels.tecnico.ulisboa.pt/matlab/estimators/baranyia.cgi
Description
Log flag: true (all measurements that uses this model have their y-axis data transformed to log (base e))
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Baranyi J. and Roberts T.A. (1994). A dynamic approach to predicting bacterial growth in food. Int. J. Food Microbiol. 23, 277-294.
Definition
\(
y(t) = y_{0} + \mu_{\max} t + \frac{1}{\mu_{\max}} \ln \left ( e^{-v\cdot t}+e^{-h_0} - e^{-v\cdot t-h_{0}} \right )- \frac{1}{m} \ln \left ( 1 + \frac{e^{m \cdot \mu_{\max} t + \frac{1}{\mu_{\max}} \ln \left ( e^{-v \cdot t} + e^{-h_0-e^{-v\cdot t - h_{0}} }\right )-1}}{{e^{m (y_{\max}-y_{0})}}} \right )
\)
Listing 7 parameters
| Code | Human | Description | Bottom | Top | Output | I.Cond. | ||
|---|---|---|---|---|---|---|---|---|
| h0 | h0 | dimensionless parameter quantifying the initial physiological state of the population. From that, ... | 3.0 | 20.0 | false | false | ||
| m | m | curvature parameter to characterize the transition from the exponential phase | 0.0 | 5.0 | false | false | ||
| mu | μ max. | maximum specific growth rate | 0.0 | 3.0 | false | false | ||
| v | v | curvature parameter to characterize the transition to the exponential phase | 0.0 | 10.0 | false | false | ||
| y0 | y0 | initial population density | -5.0 | 7.0 | false | false | ||
| ymax | ymax | asymptotic for the population density | 0.0 | 10.0 | false | false | ||
| o | Optimal Cost | fitting cost (not used in the solver and estimator) | true | false |