TY - JOUR
T1 - Application of optimal experimental design concept to improve the estimation of model parameters in microbial thermal inactivation kinetics
AU - Gil, Maria M.
AU - Miller, Fátima A.
AU - Silva, Cristina L. M.
AU - Brandão, Teresa R. S.
N1 - Funding Information:
This work was supported by National Funds from FCT – Fundação para a Ciência e a Tecnologia through project PEst-OE/EQB/LA0016/2011.
Funding Information:
F.A. Miller and T.R.S. Brandão acknowledge financial support to Fundação para a Ciência e Tecnologia (Portugal), via Post-Doctoral fellowships: SFRH/BPD/65041/2009 and SFRH/BPD/41419/2007, respectively.
PY - 2014/8
Y1 - 2014/8
N2 - The estimation of model parameters with high precision is of major importance in mathematical predictions. If a mathematical model is properly chosen and if the primary objective is to improve parameter estimation, underlying statistical theories can be applied. Precision increases with the number of experimental points. However, and in many situations, maximum precision is attained when sampling consists of replicates of specific experimental points. Experimental conditions can be optimized using the D-optimal design concept based on minimization of the generalized variance of the parameter estimates. The objective of this work was to use this methodology for the design of experiments for microbial inactivation processes described by a Gompertz-based model under isothermal and non-isothermal conditions. The application of D-optimal design concept considerably improved parameters precision, when compared to the commonly used heuristic designs.
AB - The estimation of model parameters with high precision is of major importance in mathematical predictions. If a mathematical model is properly chosen and if the primary objective is to improve parameter estimation, underlying statistical theories can be applied. Precision increases with the number of experimental points. However, and in many situations, maximum precision is attained when sampling consists of replicates of specific experimental points. Experimental conditions can be optimized using the D-optimal design concept based on minimization of the generalized variance of the parameter estimates. The objective of this work was to use this methodology for the design of experiments for microbial inactivation processes described by a Gompertz-based model under isothermal and non-isothermal conditions. The application of D-optimal design concept considerably improved parameters precision, when compared to the commonly used heuristic designs.
KW - D-optimal experimental design
KW - Isothermal and non-isothermal conditions
KW - Maximum inactivation rate
KW - Microbial thermal inactivation
KW - Shoulder parameter
UR - http://www.scopus.com/inward/record.url?scp=84897466166&partnerID=8YFLogxK
U2 - 10.1016/j.jfoodeng.2014.02.018
DO - 10.1016/j.jfoodeng.2014.02.018
M3 - Article
AN - SCOPUS:84897466166
SN - 0260-8774
VL - 134
SP - 59
EP - 66
JO - Journal of Food Engineering
JF - Journal of Food Engineering
ER -