Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebars
Introduction: Numerical modeling of the intervertebral disc (IVD) is challenging due to its complex and heterogeneous structure, requiring careful selection of constitutive models and material properties. A critical aspect of such modeling is the representation of annulus fibers, which significantly...
- Autores:
-
Jaramillo Suárez, Héctor Enrique
Gruber, Gabriel
Nicolini, Luis Fernando
Ribeiro, Marx
Lerchl, Tanja
Wilke, Hans-Joachim
Senner, Veit
Kirschke, Jan S.
Nispel, Kati
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2024
- Institución:
- Universidad Autónoma de Occidente
- Repositorio:
- RED: Repositorio Educativo Digital UAO
- Idioma:
- eng
- OAI Identifier:
- oai:red.uao.edu.co:10614/16204
- Acceso en línea:
- https://hdl.handle.net/10614/16204
https://red.uao.edu.co/
- Palabra clave:
- Spine
Intervertebral disc
Fiber reinforcement
Finite element method
Sensitivity analysis
Calibration
Validation
- Rights
- openAccess
- License
- https://creativecommons.org/licenses/by-nc-nd/4.0/
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Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebars |
| title |
Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebars |
| spellingShingle |
Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebars Spine Intervertebral disc Fiber reinforcement Finite element method Sensitivity analysis Calibration Validation |
| title_short |
Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebars |
| title_full |
Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebars |
| title_fullStr |
Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebars |
| title_full_unstemmed |
Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebars |
| title_sort |
Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebars |
| dc.creator.fl_str_mv |
Jaramillo Suárez, Héctor Enrique Gruber, Gabriel Nicolini, Luis Fernando Ribeiro, Marx Lerchl, Tanja Wilke, Hans-Joachim Senner, Veit Kirschke, Jan S. Nispel, Kati |
| dc.contributor.author.none.fl_str_mv |
Jaramillo Suárez, Héctor Enrique Gruber, Gabriel Nicolini, Luis Fernando Ribeiro, Marx Lerchl, Tanja Wilke, Hans-Joachim Senner, Veit Kirschke, Jan S. Nispel, Kati |
| dc.subject.proposal.eng.fl_str_mv |
Spine Intervertebral disc Fiber reinforcement Finite element method Sensitivity analysis Calibration Validation |
| topic |
Spine Intervertebral disc Fiber reinforcement Finite element method Sensitivity analysis Calibration Validation |
| description |
Introduction: Numerical modeling of the intervertebral disc (IVD) is challenging due to its complex and heterogeneous structure, requiring careful selection of constitutive models and material properties. A critical aspect of such modeling is the representation of annulus fibers, which significantly impact IVD biomechanics. This study presents a comparative analysis of different methods for fiber reinforcement in the annulus fibrosus of a finite element (FE) model of the human IVD. Methods: We utilized a reconstructed L4-L5 IVD geometry to compare three fiber modeling approaches: the anisotropic Holzapfel-Gasser-Ogden (HGO) model (HGO fiber model) and two sets of structural rebar elements with linear-elastic (linear rebar model) and hyperelastic (nonlinear rebar model) material definitions, respectively. Prior to calibration, we conducted a sensitivity analysis to identify the most important model parameters to be calibrated and improve the efficiency of the calibration. Calibration was performed using a genetic algorithm and in vitro range of motion (RoM) data from a published study with eight specimens tested under four loading scenarios. For validation, intradiscal pressure (IDP) measurements from the same study were used, along with additional RoM data from a separate publication involving five specimens subjected to four different loading conditions. Results: The sensitivity analysis revealed that most parameters, except for the Poisson ratio of the annulus fibers and C01 from the nucleus, significantly affected the RoM and IDP outcomes. Upon calibration, the HGO fiber model demonstrated the highest accuracy (R2 = 0.95), followed by the linear (R2 = 0.89) and nonlinear rebar models (R2 = 0.87). During the validation phase, the HGO fiber model maintained its high accuracy (RoM R2 = 0.85; IDP R2 = 0.87), while the linear and nonlinear rebar models had lower validation scores (RoM R2 = 0.71 and 0.69; IDP R2 = 0.86 and 0.8, respectively). Discussion: The results of the study demonstrate a successful calibration process that established good agreement with experimental data. Based on our findings, the HGO fiber model appears to be a more suitable option for accurate IVD FE modeling considering its higher fidelity in simulation results and computational efficiency |
| publishDate |
2024 |
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2024 |
| dc.date.accessioned.none.fl_str_mv |
2025-07-08T15:27:10Z |
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2025-07-08T15:27:10Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_6501 |
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Text |
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info:eu-repo/semantics/article |
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http://purl.org/redcol/resource_type/ART |
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info:eu-repo/semantics/publishedVersion |
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Jaramillo Suárez, H. E.; Gruber, G.; Nicolini, L. F.; Ribeiro, M.; Lerchl, T.; Wilke, H. J.; Senner, V.; Kirschke, J. S. y Nispel, K. (2024). Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebars. Front. Bioeng. Biotechnol. Vol.12. 14 p. doi: 10.3389/fbioe.2024.1391957 |
| dc.identifier.issn.spa.fl_str_mv |
22964185 |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/10614/16204 |
| dc.identifier.doi.spa.fl_str_mv |
doi: 10.3389/fbioe.2024.1391957 |
| dc.identifier.instname.spa.fl_str_mv |
Universidad Autónoma de Occidente |
| dc.identifier.reponame.spa.fl_str_mv |
Respositorio Educativo Digital UAO |
| dc.identifier.repourl.none.fl_str_mv |
https://red.uao.edu.co/ |
| identifier_str_mv |
Jaramillo Suárez, H. E.; Gruber, G.; Nicolini, L. F.; Ribeiro, M.; Lerchl, T.; Wilke, H. J.; Senner, V.; Kirschke, J. S. y Nispel, K. (2024). Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebars. Front. Bioeng. Biotechnol. Vol.12. 14 p. doi: 10.3389/fbioe.2024.1391957 22964185 doi: 10.3389/fbioe.2024.1391957 Universidad Autónoma de Occidente Respositorio Educativo Digital UAO |
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https://hdl.handle.net/10614/16204 https://red.uao.edu.co/ |
| dc.language.iso.eng.fl_str_mv |
eng |
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eng |
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14 |
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1 |
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12 |
| dc.relation.ispartofjournal.eng.fl_str_mv |
Frontiers in Bioengineering and Biotechnology |
| dc.relation.references.none.fl_str_mv |
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Micro-structure and mechanical properties of annulus fibrous of the l4-5 and l5-s1 intervertebral discs. Clin. Biomech. (Bristol, Avon) 23 (Suppl. 1), S74–S82. doi:10.1016/j.clinbiomech.2008. 04.007 |
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Jaramillo Suárez, Héctor Enriquevirtual::6093-1Gruber, GabrielNicolini, Luis FernandoRibeiro, MarxLerchl, TanjaWilke, Hans-JoachimSenner, VeitKirschke, Jan S.Nispel, Kati2025-07-08T15:27:10Z2025-07-08T15:27:10Z2024Jaramillo Suárez, H. E.; Gruber, G.; Nicolini, L. F.; Ribeiro, M.; Lerchl, T.; Wilke, H. J.; Senner, V.; Kirschke, J. S. y Nispel, K. (2024). Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebars. Front. Bioeng. Biotechnol. Vol.12. 14 p. doi: 10.3389/fbioe.2024.139195722964185https://hdl.handle.net/10614/16204doi: 10.3389/fbioe.2024.1391957Universidad Autónoma de OccidenteRespositorio Educativo Digital UAOhttps://red.uao.edu.co/Introduction: Numerical modeling of the intervertebral disc (IVD) is challenging due to its complex and heterogeneous structure, requiring careful selection of constitutive models and material properties. A critical aspect of such modeling is the representation of annulus fibers, which significantly impact IVD biomechanics. This study presents a comparative analysis of different methods for fiber reinforcement in the annulus fibrosus of a finite element (FE) model of the human IVD. Methods: We utilized a reconstructed L4-L5 IVD geometry to compare three fiber modeling approaches: the anisotropic Holzapfel-Gasser-Ogden (HGO) model (HGO fiber model) and two sets of structural rebar elements with linear-elastic (linear rebar model) and hyperelastic (nonlinear rebar model) material definitions, respectively. Prior to calibration, we conducted a sensitivity analysis to identify the most important model parameters to be calibrated and improve the efficiency of the calibration. Calibration was performed using a genetic algorithm and in vitro range of motion (RoM) data from a published study with eight specimens tested under four loading scenarios. For validation, intradiscal pressure (IDP) measurements from the same study were used, along with additional RoM data from a separate publication involving five specimens subjected to four different loading conditions. Results: The sensitivity analysis revealed that most parameters, except for the Poisson ratio of the annulus fibers and C01 from the nucleus, significantly affected the RoM and IDP outcomes. Upon calibration, the HGO fiber model demonstrated the highest accuracy (R2 = 0.95), followed by the linear (R2 = 0.89) and nonlinear rebar models (R2 = 0.87). During the validation phase, the HGO fiber model maintained its high accuracy (RoM R2 = 0.85; IDP R2 = 0.87), while the linear and nonlinear rebar models had lower validation scores (RoM R2 = 0.71 and 0.69; IDP R2 = 0.86 and 0.8, respectively). Discussion: The results of the study demonstrate a successful calibration process that established good agreement with experimental data. Based on our findings, the HGO fiber model appears to be a more suitable option for accurate IVD FE modeling considering its higher fidelity in simulation results and computational efficiencyIntroducción: El modelado numérico del disco intervertebral (DIV) presenta un desafío debido a su estructura compleja y heterogénea, lo que requiere una cuidadosa selección de los modelos constitutivos y las propiedades de los materiales. Un aspecto crucial de dicho modelado es la representación de las fibras del anillo, que impactan significativamente la biomecánica del DIV. Este estudio presenta un análisis comparativo de diferentes métodos de refuerzo de fibras en el anillo fibroso de un modelo de elementos finitos (EF) del DIV humano. Métodos: Utilizamos una geometría IVD L4-L5 reconstruida para comparar tres enfoques de modelado de fibras: el modelo anisotrópico Holzapfel-Gasser-Ogden (HGO) (modelo de fibra HGO) y dos conjuntos de elementos de varilla estructural con definiciones de material lineal-elástico (modelo de varilla lineal) e hiperelástico (modelo de varilla no lineal), respectivamente. Antes de la calibración, realizamos un análisis de sensibilidad para identificar los parámetros más importantes del modelo a calibrar y mejorar la eficiencia de la calibración. La calibración se realizó utilizando un algoritmo genético y datos in vitro de rango de movimiento (RoM) de un estudio publicado con ocho especímenes probados bajo cuatro escenarios de carga. Para la validación, se utilizaron mediciones de presión intradiscal (IDP) del mismo estudio, junto con datos adicionales de RoM de una publicación independiente que incluía cinco especímenes sometidos a cuatro condiciones de carga diferentes. Resultados: El análisis de sensibilidad reveló que la mayoría de los parámetros, excepto el coeficiente de Poisson de las fibras del anillo y el CO2 del núcleo, afectaron significativamente los resultados de RoM e IDP. Tras la calibración, el modelo de fibra HGO mostró la mayor precisión (R² = 0,95), seguido de los modelos lineal (R² = 0,89) y no lineal de varillas de refuerzo (R² = 0,87 ). Durante la fase de validación, el modelo de fibra HGO mantuvo su alta precisión (RoM R² = 0,85; IDP R² = 0,87), mientras que los modelos lineal y no lineal de varillas de refuerzo presentaron puntuaciones de validación más bajas (RoM R² = 0,71 y 0,69; IDP R² = 0,86 y 0,8, respectivamente). Discusión: Los resultados del estudio demuestran un proceso de calibración exitoso que concordó adecuadamente con los datos experimentales. Según nuestros hallazgos, el modelo de fibra HGO parece ser una opción más adecuada para un modelado preciso de elementos finitos (FE) de IVD, considerando su mayor fidelidad en los resultados de simulación y eficiencia computacional.14 páginasapplication/pdfengFrontiers Media SASuizaDerechos reservados - Jaramillo HE; Gruber G, Nicolini LF, Ribeiro M, Lerchl T, Wilke H-J; Senner V, Kirschke JS and Nispel K, 2024https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)http://purl.org/coar/access_right/c_abf2Comparative FEM study on intervertebral disc modeling: Holzapfel-Gasser-Ogden vs. structural rebarsArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a8514112Frontiers in Bioengineering and BiotechnologyArora, J. 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(Bristol, Avon) 23 (Suppl. 1), S74–S82. doi:10.1016/j.clinbiomech.2008. 04.007SpineIntervertebral discFiber reinforcementFinite element methodSensitivity analysisCalibrationValidationComunidad generalPublicationada2f35e-57bd-4bbb-91d3-e197573bfab8virtual::6093-1ada2f35e-57bd-4bbb-91d3-e197573bfab8virtual::6093-1https://scholar.google.com.co/citations?user=GEzrsjQAAAAJ&hl=esvirtual::6093-10000-0002-7324-9478virtual::6093-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000144967virtual::6093-1ORIGINALComparative_FEM_study_on_intervertebral_disc_modeling_Holzapfel-Gasser-Ogden_vs._structural rebars.pdfComparative_FEM_study_on_intervertebral_disc_modeling_Holzapfel-Gasser-Ogden_vs._structural rebars.pdfArchivo texto completo del artículo de revista, PDFapplication/pdf2481898https://red.uao.edu.co/bitstreams/efaca17f-b4e5-4484-b9fa-65dfc663622c/download2fa2247e929933102145ebc2f87c7e03MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81672https://red.uao.edu.co/bitstreams/496fc57c-6e2b-4f1d-be4d-aabc20bfdde5/download6987b791264a2b5525252450f99b10d1MD52TEXTComparative_FEM_study_on_intervertebral_disc_modeling_Holzapfel-Gasser-Ogden_vs._structural rebars.pdf.txtComparative_FEM_study_on_intervertebral_disc_modeling_Holzapfel-Gasser-Ogden_vs._structural rebars.pdf.txtExtracted texttext/plain84910https://red.uao.edu.co/bitstreams/ff03548d-9706-4493-8688-9f8ebf3230e9/download76becc47067228ab1efc491ab42fafd1MD53THUMBNAILComparative_FEM_study_on_intervertebral_disc_modeling_Holzapfel-Gasser-Ogden_vs._structural rebars.pdf.jpgComparative_FEM_study_on_intervertebral_disc_modeling_Holzapfel-Gasser-Ogden_vs._structural rebars.pdf.jpgGenerated Thumbnailimage/jpeg12087https://red.uao.edu.co/bitstreams/0214b7b0-0bb1-456a-9eb2-94cb45b71182/download5aac6011d48bd9eca929f55d06f141dbMD5410614/16204oai:red.uao.edu.co:10614/162042025-07-10 03:03:21.363https://creativecommons.org/licenses/by-nc-nd/4.0/Derechos reservados - Jaramillo HE; Gruber G, Nicolini LF, Ribeiro M, Lerchl T, Wilke H-J; Senner V, Kirschke JS and Nispel K, 2024open.accesshttps://red.uao.edu.coRepositorio Digital Universidad Autonoma de Occidenterepositorio@uao.edu.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 |