Mathematical Evaluation of Prediction Accuracy for Food Quality by Time Temperature Integrator of Intelligent Food Packaging through Virtual Experiments

Table 2

Microbial growth equations and parameters for dynamic modeling.

Growth model	Equations	Kinetic parameters	Microorganism	References
(i) Exponential growth model	(a) d𝑁d𝑡=𝜇max𝑁; (b) 𝜇max=𝜇refexp−𝐸𝑎𝑅1𝑇−1𝑇ref	𝑁0 (CFU/g): 10^3.0; 𝜇ref (h^−1): 0.044; 𝐸𝑎 (kJ/mol): 81.6; 𝑇ref (°C): 0; 𝑅 (kJ/mol·°C): 8.314 × 10^−3	Pseudomonas spp.; (boque fish)	[4]
(ii) The Baranyi and Roberts model	(c) dd𝑡𝑥=𝜇max𝑞𝑥𝑞+11−𝑥max𝑥; (d) dd𝑡𝑞=𝜇max𝑞; (e) √𝜇max=𝑏𝑇−𝑇min	𝑥0 (CFU/mL): 10^3.0; 𝑏 (h^−1/2/°C): 0.024; 𝑇min (°C): −2.32; q: 1/{exp(ℎ0) − 1}ℎ0: 1.34; 𝑥max (CFU/mL): 10^8.5	Listeria monocytogenes; (pasteurized milk)	[18]
(iii) New logistic model (NLM)	(f) d𝑁d𝑡=𝜇max𝑁𝑁1−𝑁max^𝑚𝑁1−^min𝑁^𝑛; (g) √𝜇max=𝑏𝑇−𝑇0	𝑁0 (CFU/mL): 10^3.6; b (h^−1/2/°C): 0.0426; 𝑇0 (°C): 0.0349; 𝑁max (CFU/mL): 10^10.1; 𝑚: 0.58; 𝑁min (CFU/mL): {1 − (10^−6)}N0; n: 3.0	Escherichia coli; (agar plate)	[19]