Mathematical model of glucose-insulin homeostasis in healthy rats

Autores
Lombarte, Mercedes; Lupo, Maela; Campetelli, Germán; Basualdo, Marta Susana; Rigalli, Alfredo
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
According to the World Health Organization there are over 220 million people in the world with diabetes and 3.4 million people died in 2004 as a consequence of this pathology. Development of an artificial pancreas would allow to restore control of blood glucose by coupling an infusion pump to a continuous glucose sensor in the blood. The design of such a device requires the development and application of mathematical models which represent the gluco-regulatory system. Models developed by other research groups describe very well the gluco-regulatory system but have a large number of mathematical equations and require complex methodologies for the estimation of its parameters. In this work we propose a mathematical model to study the homeostasis of glucose and insulin in healthy rats. The proposed model consists of three differential equations and 8 parameters that describe the variation of: blood glucose concentration, blood insulin concentration and amount of glucose in the intestine. All parameters were obtained by setting functions to the values of glucose and insulin in blood obtained after oral glucose administration. In vivo and in silico validations were performed. Additionally, a qualitative analysis has been done to verify the aforementioned model. We have shown that this model has a single, biologically consistent equilibrium point. This model is a first step in the development of a mathematical model for the type I diabetic rat.
Fil: Lombarte, Mercedes. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Médicas. Laboratorio de Biologia Osea; Argentina
Fil: Lupo, Maela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Médicas. Laboratorio de Biologia Osea; Argentina
Fil: Campetelli, Germán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina
Fil: Basualdo, Marta Susana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina
Fil: Rigalli, Alfredo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Médicas. Laboratorio de Biologia Osea; Argentina
Materia
Mathematical Model
Glucose
Insulin
Dmti
Diabetes Mellitus Type I
Dmtii
Diabetes Mellitus Type Ii
Naf
Sodium Fluoride
Standard Error
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/3181
Acceder
id CONICETDig_152abe6e445bf6d75c063a7429963d38
oai_identifier_str oai:ri.conicet.gov.ar:11336/3181
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Mathematical model of glucose-insulin homeostasis in healthy ratsLombarte, MercedesLupo, MaelaCampetelli, GermánBasualdo, Marta SusanaRigalli, AlfredoMathematical ModelGlucoseInsulinDmtiDiabetes Mellitus Type IDmtiiDiabetes Mellitus Type IiNafSodium FluorideStandard Errorhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1https://purl.org/becyt/ford/1.6https://purl.org/becyt/ford/1According to the World Health Organization there are over 220 million people in the world with diabetes and 3.4 million people died in 2004 as a consequence of this pathology. Development of an artificial pancreas would allow to restore control of blood glucose by coupling an infusion pump to a continuous glucose sensor in the blood. The design of such a device requires the development and application of mathematical models which represent the gluco-regulatory system. Models developed by other research groups describe very well the gluco-regulatory system but have a large number of mathematical equations and require complex methodologies for the estimation of its parameters. In this work we propose a mathematical model to study the homeostasis of glucose and insulin in healthy rats. The proposed model consists of three differential equations and 8 parameters that describe the variation of: blood glucose concentration, blood insulin concentration and amount of glucose in the intestine. All parameters were obtained by setting functions to the values of glucose and insulin in blood obtained after oral glucose administration. In vivo and in silico validations were performed. Additionally, a qualitative analysis has been done to verify the aforementioned model. We have shown that this model has a single, biologically consistent equilibrium point. This model is a first step in the development of a mathematical model for the type I diabetic rat.Fil: Lombarte, Mercedes. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Médicas. Laboratorio de Biologia Osea; ArgentinaFil: Lupo, Maela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Médicas. Laboratorio de Biologia Osea; ArgentinaFil: Campetelli, Germán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; ArgentinaFil: Basualdo, Marta Susana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; ArgentinaFil: Rigalli, Alfredo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Médicas. Laboratorio de Biologia Osea; ArgentinaElsevier2013-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/3181Lombarte, Mercedes; Lupo, Maela; Campetelli, Germán; Basualdo, Marta Susana; Rigalli, Alfredo; Mathematical model of glucose-insulin homeostasis in healthy rats; Elsevier; Mathematical Biosciences; 245; 2; 10-2013; 269-2770025-5564enginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.mbs.2013.07.017info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0025556413001818info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:52:24Zoai:ri.conicet.gov.ar:11336/3181instacron: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:34982025-09-03 09:52:24.882CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Mathematical model of glucose-insulin homeostasis in healthy rats
title Mathematical model of glucose-insulin homeostasis in healthy rats
spellingShingle Mathematical model of glucose-insulin homeostasis in healthy rats
Lombarte, Mercedes
Mathematical Model
Glucose
Insulin
Dmti
Diabetes Mellitus Type I
Dmtii
Diabetes Mellitus Type Ii
Naf
Sodium Fluoride
Standard Error
title_short Mathematical model of glucose-insulin homeostasis in healthy rats
title_full Mathematical model of glucose-insulin homeostasis in healthy rats
title_fullStr Mathematical model of glucose-insulin homeostasis in healthy rats
title_full_unstemmed Mathematical model of glucose-insulin homeostasis in healthy rats
title_sort Mathematical model of glucose-insulin homeostasis in healthy rats
dc.creator.none.fl_str_mv Lombarte, Mercedes
Lupo, Maela
Campetelli, Germán
Basualdo, Marta Susana
Rigalli, Alfredo
author Lombarte, Mercedes
author_facet Lombarte, Mercedes
Lupo, Maela
Campetelli, Germán
Basualdo, Marta Susana
Rigalli, Alfredo
author_role author
author2 Lupo, Maela
Campetelli, Germán
Basualdo, Marta Susana
Rigalli, Alfredo
author2_role author
author
author
author
dc.subject.none.fl_str_mv Mathematical Model
Glucose
Insulin
Dmti
Diabetes Mellitus Type I
Dmtii
Diabetes Mellitus Type Ii
Naf
Sodium Fluoride
Standard Error
topic Mathematical Model
Glucose
Insulin
Dmti
Diabetes Mellitus Type I
Dmtii
Diabetes Mellitus Type Ii
Naf
Sodium Fluoride
Standard Error
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
https://purl.org/becyt/ford/1.6
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv According to the World Health Organization there are over 220 million people in the world with diabetes and 3.4 million people died in 2004 as a consequence of this pathology. Development of an artificial pancreas would allow to restore control of blood glucose by coupling an infusion pump to a continuous glucose sensor in the blood. The design of such a device requires the development and application of mathematical models which represent the gluco-regulatory system. Models developed by other research groups describe very well the gluco-regulatory system but have a large number of mathematical equations and require complex methodologies for the estimation of its parameters. In this work we propose a mathematical model to study the homeostasis of glucose and insulin in healthy rats. The proposed model consists of three differential equations and 8 parameters that describe the variation of: blood glucose concentration, blood insulin concentration and amount of glucose in the intestine. All parameters were obtained by setting functions to the values of glucose and insulin in blood obtained after oral glucose administration. In vivo and in silico validations were performed. Additionally, a qualitative analysis has been done to verify the aforementioned model. We have shown that this model has a single, biologically consistent equilibrium point. This model is a first step in the development of a mathematical model for the type I diabetic rat.
Fil: Lombarte, Mercedes. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Médicas. Laboratorio de Biologia Osea; Argentina
Fil: Lupo, Maela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Médicas. Laboratorio de Biologia Osea; Argentina
Fil: Campetelli, Germán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina
Fil: Basualdo, Marta Susana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina
Fil: Rigalli, Alfredo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Médicas. Laboratorio de Biologia Osea; Argentina
description According to the World Health Organization there are over 220 million people in the world with diabetes and 3.4 million people died in 2004 as a consequence of this pathology. Development of an artificial pancreas would allow to restore control of blood glucose by coupling an infusion pump to a continuous glucose sensor in the blood. The design of such a device requires the development and application of mathematical models which represent the gluco-regulatory system. Models developed by other research groups describe very well the gluco-regulatory system but have a large number of mathematical equations and require complex methodologies for the estimation of its parameters. In this work we propose a mathematical model to study the homeostasis of glucose and insulin in healthy rats. The proposed model consists of three differential equations and 8 parameters that describe the variation of: blood glucose concentration, blood insulin concentration and amount of glucose in the intestine. All parameters were obtained by setting functions to the values of glucose and insulin in blood obtained after oral glucose administration. In vivo and in silico validations were performed. Additionally, a qualitative analysis has been done to verify the aforementioned model. We have shown that this model has a single, biologically consistent equilibrium point. This model is a first step in the development of a mathematical model for the type I diabetic rat.
publishDate 2013
dc.date.none.fl_str_mv 2013-10
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/11336/3181
Lombarte, Mercedes; Lupo, Maela; Campetelli, Germán; Basualdo, Marta Susana; Rigalli, Alfredo; Mathematical model of glucose-insulin homeostasis in healthy rats; Elsevier; Mathematical Biosciences; 245; 2; 10-2013; 269-277
0025-5564
url http://hdl.handle.net/11336/3181
identifier_str_mv Lombarte, Mercedes; Lupo, Maela; Campetelli, Germán; Basualdo, Marta Susana; Rigalli, Alfredo; Mathematical model of glucose-insulin homeostasis in healthy rats; Elsevier; Mathematical Biosciences; 245; 2; 10-2013; 269-277
0025-5564
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.mbs.2013.07.017
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0025556413001818
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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_ 1842269157028003840
score 13.13397

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