Mathematical modeling of bivariate polymer property distributions using 2D probability generating functions, 1 - Numerical inversion methods

Autores
Asteasuain, Mariano; Brandolin, Adriana
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This is the first of two papers presenting a new mathematical method for modeling bivariate distributions of polymer properties. It is based on the transformation of the infinite mass balances describing the evolution of a two-dimensional distribution using 2D probability generating functions (pgf). A key step of this method is the inversion of the transforms. In this work, two numerical inversion methods of 2D pgfs are developed and carefully validated. The accuracy obtained with both methods was very satisfactory. The inversion formulas of both methods are simple and easy to implement. A simple copolymerization example is used to show the complete procedure from the derivation of the pgf balances to the recovery of the bivariate molecular weight distribution.
Fil: Asteasuain, Mariano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
Fil: Brandolin, Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
Materia
Bivariate Distributions
Inversion Methods
Modeling
Polymerization
Probability Generating Functions
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/55941
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/55941
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Mathematical modeling of bivariate polymer property distributions using 2D probability generating functions, 1 - Numerical inversion methodsAsteasuain, MarianoBrandolin, AdrianaBivariate DistributionsInversion MethodsModelingPolymerizationProbability Generating Functionshttps://purl.org/becyt/ford/2.4https://purl.org/becyt/ford/2This is the first of two papers presenting a new mathematical method for modeling bivariate distributions of polymer properties. It is based on the transformation of the infinite mass balances describing the evolution of a two-dimensional distribution using 2D probability generating functions (pgf). A key step of this method is the inversion of the transforms. In this work, two numerical inversion methods of 2D pgfs are developed and carefully validated. The accuracy obtained with both methods was very satisfactory. The inversion formulas of both methods are simple and easy to implement. A simple copolymerization example is used to show the complete procedure from the derivation of the pgf balances to the recovery of the bivariate molecular weight distribution.Fil: Asteasuain, Mariano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; ArgentinaFil: Brandolin, Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; ArgentinaWiley VCH Verlag2010-08info: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/11336/55941Asteasuain, Mariano; Brandolin, Adriana; Mathematical modeling of bivariate polymer property distributions using 2D probability generating functions, 1 - Numerical inversion methods; Wiley VCH Verlag; Macromolecular Theory And Simulations; 19; 6; 8-2010; 342-3591022-1344CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1002/mats.200900096info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1002/mats.200900096info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:39:49Zoai:ri.conicet.gov.ar:11336/55941instacron: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:34982025-09-29 09:39:49.58CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Mathematical modeling of bivariate polymer property distributions using 2D probability generating functions, 1 - Numerical inversion methods
title Mathematical modeling of bivariate polymer property distributions using 2D probability generating functions, 1 - Numerical inversion methods
spellingShingle Mathematical modeling of bivariate polymer property distributions using 2D probability generating functions, 1 - Numerical inversion methods
Asteasuain, Mariano
Bivariate Distributions
Inversion Methods
Modeling
Polymerization
Probability Generating Functions
title_short Mathematical modeling of bivariate polymer property distributions using 2D probability generating functions, 1 - Numerical inversion methods
title_full Mathematical modeling of bivariate polymer property distributions using 2D probability generating functions, 1 - Numerical inversion methods
title_fullStr Mathematical modeling of bivariate polymer property distributions using 2D probability generating functions, 1 - Numerical inversion methods
title_full_unstemmed Mathematical modeling of bivariate polymer property distributions using 2D probability generating functions, 1 - Numerical inversion methods
title_sort Mathematical modeling of bivariate polymer property distributions using 2D probability generating functions, 1 - Numerical inversion methods
dc.creator.none.fl_str_mv Asteasuain, Mariano
Brandolin, Adriana
author Asteasuain, Mariano
author_facet Asteasuain, Mariano
Brandolin, Adriana
author_role author
author2 Brandolin, Adriana
author2_role author
dc.subject.none.fl_str_mv Bivariate Distributions
Inversion Methods
Modeling
Polymerization
Probability Generating Functions
topic Bivariate Distributions
Inversion Methods
Modeling
Polymerization
Probability Generating Functions
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.4
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv This is the first of two papers presenting a new mathematical method for modeling bivariate distributions of polymer properties. It is based on the transformation of the infinite mass balances describing the evolution of a two-dimensional distribution using 2D probability generating functions (pgf). A key step of this method is the inversion of the transforms. In this work, two numerical inversion methods of 2D pgfs are developed and carefully validated. The accuracy obtained with both methods was very satisfactory. The inversion formulas of both methods are simple and easy to implement. A simple copolymerization example is used to show the complete procedure from the derivation of the pgf balances to the recovery of the bivariate molecular weight distribution.
Fil: Asteasuain, Mariano. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
Fil: Brandolin, Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina
description This is the first of two papers presenting a new mathematical method for modeling bivariate distributions of polymer properties. It is based on the transformation of the infinite mass balances describing the evolution of a two-dimensional distribution using 2D probability generating functions (pgf). A key step of this method is the inversion of the transforms. In this work, two numerical inversion methods of 2D pgfs are developed and carefully validated. The accuracy obtained with both methods was very satisfactory. The inversion formulas of both methods are simple and easy to implement. A simple copolymerization example is used to show the complete procedure from the derivation of the pgf balances to the recovery of the bivariate molecular weight distribution.
publishDate 2010
dc.date.none.fl_str_mv 2010-08
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/11336/55941
Asteasuain, Mariano; Brandolin, Adriana; Mathematical modeling of bivariate polymer property distributions using 2D probability generating functions, 1 - Numerical inversion methods; Wiley VCH Verlag; Macromolecular Theory And Simulations; 19; 6; 8-2010; 342-359
1022-1344
CONICET Digital
CONICET
url http://hdl.handle.net/11336/55941
identifier_str_mv Asteasuain, Mariano; Brandolin, Adriana; Mathematical modeling of bivariate polymer property distributions using 2D probability generating functions, 1 - Numerical inversion methods; Wiley VCH Verlag; Macromolecular Theory And Simulations; 19; 6; 8-2010; 342-359
1022-1344
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1002/mats.200900096
info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1002/mats.200900096
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Wiley VCH Verlag
publisher.none.fl_str_mv Wiley VCH Verlag
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
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score 13.070432

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