Microstructural quantification of collagen fiber orientations and its integration in constitutive modeling of the porcine carotid artery

Background Mechanical characteristics of vascular tissue may play a role in different arterial pathologies, which, amongst others, requires robust constitutive descriptions to capture the vessel wall’s anisotropic and non-linear properties.Specifically, the complex 3D network of collagen and its int...

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Autores: Sáez Viñas, Pablo|||0000-0002-9253-0417, García, A., Peña, Estefanía, Gasser, Thomas Christian, Martínez, M.A.
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/102427
Acceso en línea:https://hdl.handle.net/2117/102427
https://dx.doi.org/10.1016/j.actbio.2016.01.030
Access Level:acceso abierto
Palabra clave:Combinatorial probabilities
Numerical analysis--Simulation methods
Collagen distribution
Carotid artery
Polarized light
Micro-sphere
Probabilitats
Anàlisi numèrica
Classificació AMS::65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equations
Classificació AMS::60 Probability theory and stochastic processes::60C05 Combinatorial probability
Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
id ES_4ce6bc05e9cae4ed2c8386783afcc978
oai_identifier_str oai:upcommons.upc.edu:2117/102427
network_acronym_str ES
network_name_str España
repository_id_str
dc.title.none.fl_str_mv Microstructural quantification of collagen fiber orientations and its integration in constitutive modeling of the porcine carotid artery
title Microstructural quantification of collagen fiber orientations and its integration in constitutive modeling of the porcine carotid artery
spellingShingle Microstructural quantification of collagen fiber orientations and its integration in constitutive modeling of the porcine carotid artery
Sáez Viñas, Pablo|||0000-0002-9253-0417
Combinatorial probabilities
Numerical analysis--Simulation methods
Collagen distribution
Carotid artery
Polarized light
Micro-sphere
Probabilitats
Anàlisi numèrica
Classificació AMS::65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equations
Classificació AMS::60 Probability theory and stochastic processes::60C05 Combinatorial probability
Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
title_short Microstructural quantification of collagen fiber orientations and its integration in constitutive modeling of the porcine carotid artery
title_full Microstructural quantification of collagen fiber orientations and its integration in constitutive modeling of the porcine carotid artery
title_fullStr Microstructural quantification of collagen fiber orientations and its integration in constitutive modeling of the porcine carotid artery
title_full_unstemmed Microstructural quantification of collagen fiber orientations and its integration in constitutive modeling of the porcine carotid artery
title_sort Microstructural quantification of collagen fiber orientations and its integration in constitutive modeling of the porcine carotid artery
dc.creator.none.fl_str_mv Sáez Viñas, Pablo|||0000-0002-9253-0417
García, A.
Peña, Estefanía
Gasser, Thomas Christian
Martínez, M.A.
author Sáez Viñas, Pablo|||0000-0002-9253-0417
author_facet Sáez Viñas, Pablo|||0000-0002-9253-0417
García, A.
Peña, Estefanía
Gasser, Thomas Christian
Martínez, M.A.
author_role author
author2 García, A.
Peña, Estefanía
Gasser, Thomas Christian
Martínez, M.A.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Combinatorial probabilities
Numerical analysis--Simulation methods
Collagen distribution
Carotid artery
Polarized light
Micro-sphere
Probabilitats
Anàlisi numèrica
Classificació AMS::65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equations
Classificació AMS::60 Probability theory and stochastic processes::60C05 Combinatorial probability
Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
topic Combinatorial probabilities
Numerical analysis--Simulation methods
Collagen distribution
Carotid artery
Polarized light
Micro-sphere
Probabilitats
Anàlisi numèrica
Classificació AMS::65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equations
Classificació AMS::60 Probability theory and stochastic processes::60C05 Combinatorial probability
Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
description Background Mechanical characteristics of vascular tissue may play a role in different arterial pathologies, which, amongst others, requires robust constitutive descriptions to capture the vessel wall’s anisotropic and non-linear properties.Specifically, the complex 3D network of collagen and its interaction with other structural elements has a dominating effect of arterial properties at higher stress levels.The aim of this study is to collect quantitative collagen organization as well as mechanical properties to facilitate structural constitutive models for the porcine carotid artery.This helps the understanding of the mechanics of swine carotid arteries, being a standard in clinical hypothesis testing, in endovascular preclinical trials for example. Method Porcine common carotid arteries (n = 10) were harvested and used to (i) characterize the collagen fiber organization with polarized light microscopy, and (ii) the biaxial mechanical properties by inflation testing.The collagen organization was quantified by the Bingham orientation density function (ODF), which in turn was integrated in a structural constitutive model of the vessel wall.A one-layered and thick-walled model was used to estimate mechanical constitutive parameters by least-square fitting the recorded in vitro inflation test results.Finally, uniaxial data published elsewhere were used to validate the mean collagen organization described by the Bingham ODF. Results Thick collagen fibers, i.e.the most mechanically relevant structure, in the common carotid artery are dispersed around the circumferential direction.In addition, almost all samples showed two distinct families of collagen fibers at different elevation, but not azimuthal, angles.Collagen fiber organization could be accurately represented by the Bingham ODF (¿1,2,3=[13.5,0.0,25.2] and ¿1,2,3=[14.7,0.0,26.6]; average error of about 5%), and their integration into a structural constitutive model captured the inflation characteristics of individual carotid artery samples.Specifically, only four mechanical parameters were required to reasonably (average error from 14% to 38%) cover the experimental data over a wide range of axial and circumferential stretches.However, it was critical to account for fibrilar links between thick collagen fibers.Finally, the mean Bingham ODF provide also good approximation to uniaxial experimental data. Conclusions The applied structural constitutive model, based on individually measured collagen orientation densities, was able to capture the biaxial properties of the common carotid artery. Since the model required coupling amongst thick collagen fibers, the collagen fiber orientations measured from polarized light microscopy, alone, seem to be insufficient structural information. Alternatively, a larger dispersion of collagen fiber orientations, that is likely to arise from analyzing larger wall sections, could have had a similar effect, i.e. could have avoided coupling amongst thick collagen fibers.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-03-01
2017
2017-03-14
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/102427
https://dx.doi.org/10.1016/j.actbio.2016.01.030
url https://hdl.handle.net/2117/102427
https://dx.doi.org/10.1016/j.actbio.2016.01.030
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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spelling Microstructural quantification of collagen fiber orientations and its integration in constitutive modeling of the porcine carotid arterySáez Viñas, Pablo|||0000-0002-9253-0417García, A.Peña, EstefaníaGasser, Thomas ChristianMartínez, M.A.Combinatorial probabilitiesNumerical analysis--Simulation methodsCollagen distributionCarotid arteryPolarized lightMicro-sphereProbabilitatsAnàlisi numèricaClassificació AMS::65 Numerical analysis::65C Probabilistic methods, simulation and stochastic differential equationsClassificació AMS::60 Probability theory and stochastic processes::60C05 Combinatorial probabilityÀrees temàtiques de la UPC::Matemàtiques i estadística::ProbabilitatÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèricaBackground Mechanical characteristics of vascular tissue may play a role in different arterial pathologies, which, amongst others, requires robust constitutive descriptions to capture the vessel wall’s anisotropic and non-linear properties.Specifically, the complex 3D network of collagen and its interaction with other structural elements has a dominating effect of arterial properties at higher stress levels.The aim of this study is to collect quantitative collagen organization as well as mechanical properties to facilitate structural constitutive models for the porcine carotid artery.This helps the understanding of the mechanics of swine carotid arteries, being a standard in clinical hypothesis testing, in endovascular preclinical trials for example. Method Porcine common carotid arteries (n = 10) were harvested and used to (i) characterize the collagen fiber organization with polarized light microscopy, and (ii) the biaxial mechanical properties by inflation testing.The collagen organization was quantified by the Bingham orientation density function (ODF), which in turn was integrated in a structural constitutive model of the vessel wall.A one-layered and thick-walled model was used to estimate mechanical constitutive parameters by least-square fitting the recorded in vitro inflation test results.Finally, uniaxial data published elsewhere were used to validate the mean collagen organization described by the Bingham ODF. Results Thick collagen fibers, i.e.the most mechanically relevant structure, in the common carotid artery are dispersed around the circumferential direction.In addition, almost all samples showed two distinct families of collagen fibers at different elevation, but not azimuthal, angles.Collagen fiber organization could be accurately represented by the Bingham ODF (¿1,2,3=[13.5,0.0,25.2] and ¿1,2,3=[14.7,0.0,26.6]; average error of about 5%), and their integration into a structural constitutive model captured the inflation characteristics of individual carotid artery samples.Specifically, only four mechanical parameters were required to reasonably (average error from 14% to 38%) cover the experimental data over a wide range of axial and circumferential stretches.However, it was critical to account for fibrilar links between thick collagen fibers.Finally, the mean Bingham ODF provide also good approximation to uniaxial experimental data. Conclusions The applied structural constitutive model, based on individually measured collagen orientation densities, was able to capture the biaxial properties of the common carotid artery. Since the model required coupling amongst thick collagen fibers, the collagen fiber orientations measured from polarized light microscopy, alone, seem to be insufficient structural information. Alternatively, a larger dispersion of collagen fiber orientations, that is likely to arise from analyzing larger wall sections, could have had a similar effect, i.e. could have avoided coupling amongst thick collagen fibers.Peer Reviewed20162016-03-0120172017-03-14journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/102427https://dx.doi.org/10.1016/j.actbio.2016.01.030reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1024272026-05-27T15:37:01Z
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