A New Kinetic Model for Pectin Extraction from Grapefruit Peel Using Delayed Differential Equations

Autores
Montoro, Maria Laura; Pantano, Maria Nadia; Fernández Puchol, María Cecilia; Sardella, Maria Fabiana; Rosales, Andres; Scaglia, Gustavo Juan Eduardo
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The objective of this study is to develop a kinetic model that incorporates timedelay mechanisms to describe the gradual release behavior of pectin. Three models were used: modified Peleg, logistic, and second-order linear with time delay (SOPDT), to represent the extraction kinetics of grapefruit peels at 60, 70, and 90 ◦C. Model fitting was performed using a hybrid methodology combining Monte Carlo simulations with genetic algorithms. The SOPDT model provided the best fit, with the lowest squared error values (J = 7.06 at 60 ◦C, 5.63 at 70 ◦C, and 8.71 at 90 ◦C), requiring only two parameters to represent the entire process. In contrast, the other models required six. The maximum pectin yield reached over 120% at 90 ◦C, compared to <80% at lower temperatures. These results demonstrate the potential of the SOPDT model for efficient process description and control.
Fil: Montoro, Maria Laura. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina
Fil: Pantano, Maria Nadia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; Argentina
Fil: Fernández Puchol, María Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; Argentina
Fil: Sardella, Maria Fabiana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; Argentina
Fil: Rosales, Andres. Escuela Politécnica Nacional; Ecuador
Fil: Scaglia, Gustavo Juan Eduardo. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina
Materia
GRAPEFRUIT
PEELS
MATHEMATICAL MODEL
PECTIN
LOGISTIC MODEL
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/273614
Acceder
id CONICETDig_e7edeefee73490f0a693189ef23ff03d
oai_identifier_str oai:ri.conicet.gov.ar:11336/273614
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A New Kinetic Model for Pectin Extraction from Grapefruit Peel Using Delayed Differential EquationsMontoro, Maria LauraPantano, Maria NadiaFernández Puchol, María CeciliaSardella, Maria FabianaRosales, AndresScaglia, Gustavo Juan EduardoGRAPEFRUITPEELSMATHEMATICAL MODELPECTINLOGISTIC MODELhttps://purl.org/becyt/ford/2.4https://purl.org/becyt/ford/2The objective of this study is to develop a kinetic model that incorporates timedelay mechanisms to describe the gradual release behavior of pectin. Three models were used: modified Peleg, logistic, and second-order linear with time delay (SOPDT), to represent the extraction kinetics of grapefruit peels at 60, 70, and 90 ◦C. Model fitting was performed using a hybrid methodology combining Monte Carlo simulations with genetic algorithms. The SOPDT model provided the best fit, with the lowest squared error values (J = 7.06 at 60 ◦C, 5.63 at 70 ◦C, and 8.71 at 90 ◦C), requiring only two parameters to represent the entire process. In contrast, the other models required six. The maximum pectin yield reached over 120% at 90 ◦C, compared to <80% at lower temperatures. These results demonstrate the potential of the SOPDT model for efficient process description and control.Fil: Montoro, Maria Laura. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; ArgentinaFil: Pantano, Maria Nadia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; ArgentinaFil: Fernández Puchol, María Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; ArgentinaFil: Sardella, Maria Fabiana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; ArgentinaFil: Rosales, Andres. Escuela Politécnica Nacional; EcuadorFil: Scaglia, Gustavo Juan Eduardo. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; ArgentinaMDPI2025-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/273614Montoro, Maria Laura; Pantano, Maria Nadia; Fernández Puchol, María Cecilia; Sardella, Maria Fabiana; Rosales, Andres; et al.; A New Kinetic Model for Pectin Extraction from Grapefruit Peel Using Delayed Differential Equations; MDPI; Processes; 13; 6; 6-2025; 1-152227-9717CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2227-9717/13/6/1903info:eu-repo/semantics/altIdentifier/doi/10.3390/pr13061903info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:54:40Zoai:ri.conicet.gov.ar:11336/273614instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-12 09:54:41.286CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A New Kinetic Model for Pectin Extraction from Grapefruit Peel Using Delayed Differential Equations
title A New Kinetic Model for Pectin Extraction from Grapefruit Peel Using Delayed Differential Equations
spellingShingle A New Kinetic Model for Pectin Extraction from Grapefruit Peel Using Delayed Differential Equations
Montoro, Maria Laura
GRAPEFRUIT
PEELS
MATHEMATICAL MODEL
PECTIN
LOGISTIC MODEL
title_short A New Kinetic Model for Pectin Extraction from Grapefruit Peel Using Delayed Differential Equations
title_full A New Kinetic Model for Pectin Extraction from Grapefruit Peel Using Delayed Differential Equations
title_fullStr A New Kinetic Model for Pectin Extraction from Grapefruit Peel Using Delayed Differential Equations
title_full_unstemmed A New Kinetic Model for Pectin Extraction from Grapefruit Peel Using Delayed Differential Equations
title_sort A New Kinetic Model for Pectin Extraction from Grapefruit Peel Using Delayed Differential Equations
dc.creator.none.fl_str_mv Montoro, Maria Laura
Pantano, Maria Nadia
Fernández Puchol, María Cecilia
Sardella, Maria Fabiana
Rosales, Andres
Scaglia, Gustavo Juan Eduardo
author Montoro, Maria Laura
author_facet Montoro, Maria Laura
Pantano, Maria Nadia
Fernández Puchol, María Cecilia
Sardella, Maria Fabiana
Rosales, Andres
Scaglia, Gustavo Juan Eduardo
author_role author
author2 Pantano, Maria Nadia
Fernández Puchol, María Cecilia
Sardella, Maria Fabiana
Rosales, Andres
Scaglia, Gustavo Juan Eduardo
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv GRAPEFRUIT
PEELS
MATHEMATICAL MODEL
PECTIN
LOGISTIC MODEL
topic GRAPEFRUIT
PEELS
MATHEMATICAL MODEL
PECTIN
LOGISTIC MODEL
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv The objective of this study is to develop a kinetic model that incorporates timedelay mechanisms to describe the gradual release behavior of pectin. Three models were used: modified Peleg, logistic, and second-order linear with time delay (SOPDT), to represent the extraction kinetics of grapefruit peels at 60, 70, and 90 ◦C. Model fitting was performed using a hybrid methodology combining Monte Carlo simulations with genetic algorithms. The SOPDT model provided the best fit, with the lowest squared error values (J = 7.06 at 60 ◦C, 5.63 at 70 ◦C, and 8.71 at 90 ◦C), requiring only two parameters to represent the entire process. In contrast, the other models required six. The maximum pectin yield reached over 120% at 90 ◦C, compared to <80% at lower temperatures. These results demonstrate the potential of the SOPDT model for efficient process description and control.
Fil: Montoro, Maria Laura. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina
Fil: Pantano, Maria Nadia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; Argentina
Fil: Fernández Puchol, María Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; Argentina
Fil: Sardella, Maria Fabiana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; Argentina
Fil: Rosales, Andres. Escuela Politécnica Nacional; Ecuador
Fil: Scaglia, Gustavo Juan Eduardo. Universidad Nacional de San Juan. Facultad de Ingeniería. Instituto de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina
description The objective of this study is to develop a kinetic model that incorporates timedelay mechanisms to describe the gradual release behavior of pectin. Three models were used: modified Peleg, logistic, and second-order linear with time delay (SOPDT), to represent the extraction kinetics of grapefruit peels at 60, 70, and 90 ◦C. Model fitting was performed using a hybrid methodology combining Monte Carlo simulations with genetic algorithms. The SOPDT model provided the best fit, with the lowest squared error values (J = 7.06 at 60 ◦C, 5.63 at 70 ◦C, and 8.71 at 90 ◦C), requiring only two parameters to represent the entire process. In contrast, the other models required six. The maximum pectin yield reached over 120% at 90 ◦C, compared to <80% at lower temperatures. These results demonstrate the potential of the SOPDT model for efficient process description and control.
publishDate 2025
dc.date.none.fl_str_mv 2025-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/273614
Montoro, Maria Laura; Pantano, Maria Nadia; Fernández Puchol, María Cecilia; Sardella, Maria Fabiana; Rosales, Andres; et al.; A New Kinetic Model for Pectin Extraction from Grapefruit Peel Using Delayed Differential Equations; MDPI; Processes; 13; 6; 6-2025; 1-15
2227-9717
CONICET Digital
CONICET
url http://hdl.handle.net/11336/273614
identifier_str_mv Montoro, Maria Laura; Pantano, Maria Nadia; Fernández Puchol, María Cecilia; Sardella, Maria Fabiana; Rosales, Andres; et al.; A New Kinetic Model for Pectin Extraction from Grapefruit Peel Using Delayed Differential Equations; MDPI; Processes; 13; 6; 6-2025; 1-15
2227-9717
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2227-9717/13/6/1903
info:eu-repo/semantics/altIdentifier/doi/10.3390/pr13061903
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1848598266739949568
score 13.24909

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