Optimal experimental design for estimating the kinetic parameters of the Bigelow model
Autor(a) principal: | |
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Data de Publicação: | 1997 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.14/6623 |
Resumo: | The optimum experimental design for systems following the Bigelow model was studied by determining the sampling conditions that lead to a minimum confidence region for a number of observations equal to the number of parameters. For isothermal conditions, it was found that this corresponds to the sampling times when the fractional concentration of the decaying factor (ηi) is equal to e−1 and that the experiments should be performed in the limit range of temperatures chosen. These results are identical to those described in the literature for a first-order Arrhenius model. For non-isothermal experiments with linearly increasing temperature, the optimal experimental design is obtained with a maximum heating rate, a minimum initial temperature and sampling times when the product of the fractional concentrations is e−2 (with η1 congruent with 0.70 and η2 congruent with 0.19). The influence of the heating rate on the precision of the estimates is more significant for high z values and the influence of the initial temperature is more significant for low values of the heating rate. |
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Optimal experimental design for estimating the kinetic parameters of the Bigelow modelThe optimum experimental design for systems following the Bigelow model was studied by determining the sampling conditions that lead to a minimum confidence region for a number of observations equal to the number of parameters. For isothermal conditions, it was found that this corresponds to the sampling times when the fractional concentration of the decaying factor (ηi) is equal to e−1 and that the experiments should be performed in the limit range of temperatures chosen. These results are identical to those described in the literature for a first-order Arrhenius model. For non-isothermal experiments with linearly increasing temperature, the optimal experimental design is obtained with a maximum heating rate, a minimum initial temperature and sampling times when the product of the fractional concentrations is e−2 (with η1 congruent with 0.70 and η2 congruent with 0.19). The influence of the heating rate on the precision of the estimates is more significant for high z values and the influence of the initial temperature is more significant for low values of the heating rate.ElsevierVeritati - Repositório Institucional da Universidade Católica PortuguesaCunha, Luís M.Oliveira, Fernanda A. R.Brandão, Teresa R. S.Oliveira, Jorge C.2011-10-21T10:21:33Z19971997-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.14/6623engCUNHA, Luís M... [et al.] - Optimal experimental design for estimating the kinetic parameters of the Bigelow model. Journal of Food Engineering. ISSN 0260-8774. 33:1-2 (1997) 111-12810.1016/S0260-8774(97)00047-2info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-12T17:10:53Zoai:repositorio.ucp.pt:10400.14/6623Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:06:03.099861Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Optimal experimental design for estimating the kinetic parameters of the Bigelow model |
title |
Optimal experimental design for estimating the kinetic parameters of the Bigelow model |
spellingShingle |
Optimal experimental design for estimating the kinetic parameters of the Bigelow model Cunha, Luís M. |
title_short |
Optimal experimental design for estimating the kinetic parameters of the Bigelow model |
title_full |
Optimal experimental design for estimating the kinetic parameters of the Bigelow model |
title_fullStr |
Optimal experimental design for estimating the kinetic parameters of the Bigelow model |
title_full_unstemmed |
Optimal experimental design for estimating the kinetic parameters of the Bigelow model |
title_sort |
Optimal experimental design for estimating the kinetic parameters of the Bigelow model |
author |
Cunha, Luís M. |
author_facet |
Cunha, Luís M. Oliveira, Fernanda A. R. Brandão, Teresa R. S. Oliveira, Jorge C. |
author_role |
author |
author2 |
Oliveira, Fernanda A. R. Brandão, Teresa R. S. Oliveira, Jorge C. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Veritati - Repositório Institucional da Universidade Católica Portuguesa |
dc.contributor.author.fl_str_mv |
Cunha, Luís M. Oliveira, Fernanda A. R. Brandão, Teresa R. S. Oliveira, Jorge C. |
description |
The optimum experimental design for systems following the Bigelow model was studied by determining the sampling conditions that lead to a minimum confidence region for a number of observations equal to the number of parameters. For isothermal conditions, it was found that this corresponds to the sampling times when the fractional concentration of the decaying factor (ηi) is equal to e−1 and that the experiments should be performed in the limit range of temperatures chosen. These results are identical to those described in the literature for a first-order Arrhenius model. For non-isothermal experiments with linearly increasing temperature, the optimal experimental design is obtained with a maximum heating rate, a minimum initial temperature and sampling times when the product of the fractional concentrations is e−2 (with η1 congruent with 0.70 and η2 congruent with 0.19). The influence of the heating rate on the precision of the estimates is more significant for high z values and the influence of the initial temperature is more significant for low values of the heating rate. |
publishDate |
1997 |
dc.date.none.fl_str_mv |
1997 1997-01-01T00:00:00Z 2011-10-21T10:21:33Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10400.14/6623 |
url |
http://hdl.handle.net/10400.14/6623 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
CUNHA, Luís M... [et al.] - Optimal experimental design for estimating the kinetic parameters of the Bigelow model. Journal of Food Engineering. ISSN 0260-8774. 33:1-2 (1997) 111-128 10.1016/S0260-8774(97)00047-2 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799131726411202560 |