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Application of optimal experimental design concept to improve the estimation of model parameters in microbial thermal inactivation kinetics

datacite.subject.fosCiências Agrárias::Biotecnologia Agrária e Alimentar
datacite.subject.sdg12:Produção e Consumo Sustentáveis
datacite.subject.sdg13:Ação Climática
datacite.subject.sdg14:Proteger a Vida Marinha
dc.contributor.authorGil, Maria M.
dc.contributor.authorMiller, Fátima A.
dc.contributor.authorSilva, Cristina L. M.
dc.contributor.authorBrandão, Teresa R. S.
dc.date.accessioned2026-06-12T10:07:36Z
dc.date.available2026-06-12T10:07:36Z
dc.date.issued2014-08
dc.descriptionLink para o documento - https://www.sci-hub.box/10.1016/j.jfoodeng.2014.02.018
dc.description.abstractThe 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.eng
dc.description.sponsorshipF.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. This work was supported by National Funds from FCT – Fundação para a Ciência e a Tecnologia through project PEst-OE/EQB/LA0016/2011.
dc.identifier.citationMaria M. Gil, Fátima A. Miller, Cristina L.M. Silva, Teresa R.S. Brandão, Application of optimal experimental design concept to improve the estimation of model parameters in microbial thermal inactivation kinetics, Journal of Food Engineering, Volume 134, 2014, Pages 59-66, ISSN 0260-8774, https://doi.org/10.1016/j.jfoodeng.2014.02.018.
dc.identifier.doi10.1016/j.jfoodeng.2014.02.018
dc.identifier.issn0260-8774
dc.identifier.urihttp://hdl.handle.net/10400.8/16407
dc.language.isoeng
dc.peerreviewedyes
dc.publisherElsevier
dc.relationStrategic Project - LA 16 - 2011-2012
dc.relation.hasversionhttps://www.sciencedirect.com/science/article/pii/S0260877414000855?via%3Dihub
dc.relation.ispartofJournal of Food Engineering
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectD-optimal experimental design
dc.subjectMicrobial thermal inactivation
dc.subjectMaximum inactivation rate
dc.subjectShoulder parameter
dc.subjectIsothermal and non-isothermal conditions
dc.titleApplication of optimal experimental design concept to improve the estimation of model parameters in microbial thermal inactivation kineticseng
dc.typejournal article
dspace.entity.typePublication
oaire.awardNumberPEst-OE/EQB/LA0016/2011
oaire.awardTitleStrategic Project - LA 16 - 2011-2012
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FEQB%2FLA0016%2F2011/PT
oaire.citation.endPage66
oaire.citation.startPage59
oaire.citation.titleJournal of Food Engineering
oaire.citation.volume134
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameGil
person.givenNameMaria M
person.identifier.ciencia-id7313-A289-DF48
person.identifier.orcid0000-0002-8008-9839
person.identifier.ridO-4858-2015
person.identifier.scopus-author-id12785024700
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
relation.isAuthorOfPublication2461492f-3d73-40e9-a6ed-76944bcb1b71
relation.isAuthorOfPublication.latestForDiscovery2461492f-3d73-40e9-a6ed-76944bcb1b71
relation.isProjectOfPublicationb88d5347-3e35-4c87-b26e-50948787e86a
relation.isProjectOfPublication.latestForDiscoveryb88d5347-3e35-4c87-b26e-50948787e86a

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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.
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