Modeling Vegetable Fractals by means of Fractional-order Equations

Detalhes bibliográficos
Autor(a) principal: Lopes, António M.
Data de Publicação: 2015
Outros Autores: Machado, J. A. Tenreiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/6961
Resumo: This paper characterizes four ‘fractal vegetables’: (i) cauliflower (brassica oleracea var. Botrytis); (ii) broccoli (brassica oleracea var. italica); (iii) round cabbage (brassica oleracea var. capitata) and (iv) Brussels sprout (brassica oleracea var. gemmifera), by means of electrical impedance spectroscopy and fractional calculus tools. Experimental data is approximated using fractional-order models and the corresponding parameters are determined with a genetic algorithm. The Havriliak-Negami five-parameter model fits well into the data, demonstrating that classical formulae can constitute simple and reliable models to characterize biological structures.
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spelling Modeling Vegetable Fractals by means of Fractional-order EquationsDynamic systemsElectrical impedanceFractalsFractional calculusModelingThis paper characterizes four ‘fractal vegetables’: (i) cauliflower (brassica oleracea var. Botrytis); (ii) broccoli (brassica oleracea var. italica); (iii) round cabbage (brassica oleracea var. capitata) and (iv) Brussels sprout (brassica oleracea var. gemmifera), by means of electrical impedance spectroscopy and fractional calculus tools. Experimental data is approximated using fractional-order models and the corresponding parameters are determined with a genetic algorithm. The Havriliak-Negami five-parameter model fits well into the data, demonstrating that classical formulae can constitute simple and reliable models to characterize biological structures.SAGE journalsRepositório Científico do Instituto Politécnico do PortoLopes, António M.Machado, J. A. Tenreiro2015-11-20T11:44:28Z20152015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/6961eng10.1177/1077546315581228info: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:RCAAP2023-03-13T12:47:16Zoai:recipp.ipp.pt:10400.22/6961Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:27:23.278040Repositório 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 Modeling Vegetable Fractals by means of Fractional-order Equations
title Modeling Vegetable Fractals by means of Fractional-order Equations
spellingShingle Modeling Vegetable Fractals by means of Fractional-order Equations
Lopes, António M.
Dynamic systems
Electrical impedance
Fractals
Fractional calculus
Modeling
title_short Modeling Vegetable Fractals by means of Fractional-order Equations
title_full Modeling Vegetable Fractals by means of Fractional-order Equations
title_fullStr Modeling Vegetable Fractals by means of Fractional-order Equations
title_full_unstemmed Modeling Vegetable Fractals by means of Fractional-order Equations
title_sort Modeling Vegetable Fractals by means of Fractional-order Equations
author Lopes, António M.
author_facet Lopes, António M.
Machado, J. A. Tenreiro
author_role author
author2 Machado, J. A. Tenreiro
author2_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Lopes, António M.
Machado, J. A. Tenreiro
dc.subject.por.fl_str_mv Dynamic systems
Electrical impedance
Fractals
Fractional calculus
Modeling
topic Dynamic systems
Electrical impedance
Fractals
Fractional calculus
Modeling
description This paper characterizes four ‘fractal vegetables’: (i) cauliflower (brassica oleracea var. Botrytis); (ii) broccoli (brassica oleracea var. italica); (iii) round cabbage (brassica oleracea var. capitata) and (iv) Brussels sprout (brassica oleracea var. gemmifera), by means of electrical impedance spectroscopy and fractional calculus tools. Experimental data is approximated using fractional-order models and the corresponding parameters are determined with a genetic algorithm. The Havriliak-Negami five-parameter model fits well into the data, demonstrating that classical formulae can constitute simple and reliable models to characterize biological structures.
publishDate 2015
dc.date.none.fl_str_mv 2015-11-20T11:44:28Z
2015
2015-01-01T00:00:00Z
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/10400.22/6961
url http://hdl.handle.net/10400.22/6961
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1177/1077546315581228
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 SAGE journals
publisher.none.fl_str_mv SAGE journals
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
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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