where, a* is the a* value after storage time t (day), a0* is the initial value at time zero.
The rate of colour deterioration (kcolour) of ground beef was further modelled as a function of storage temperature using the Arrhenius equation (Equation (5)) [25 (link)]:
where, kref (day−1) is the constant rate of the degradation of a* value at the reference temperature Tref (K), which was set at 4 °C, T is the absolute temperature (K), Ea is the activation energy (J/mol) and R is the universal gas constant (J/mol·K). Ea values were estimated from the slope of Arrhenius plots of ln (kcolour) vs. (1/T − 1/Tref) by linear regression [27 ]. All model parameters were calculated using SPSS computer package Version 16.0 (SPSS Inc., Chicago, IL, USA).