A phenomenological approach toward patient-specific computational modeling of articular cartilage including collagen fiber tracking
To model the cartilage morphology and the material response, a phenomenological and patient-specific simulation approach incorporating the collagen fiber fabric is proposed. Cartilage tissue response is nearly isochoric and time-dependent under physiological pressure levels. Hence, a viscoelastic co...
Saved in:
| Published in: | Journal of biomechanical engineering Vol. 131; no. 9; p. 091006 |
|---|---|
| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
United States
01.09.2009
|
| Subjects: | |
| ISSN: | 1528-8951, 1528-8951 |
| Online Access: | Get more information |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | To model the cartilage morphology and the material response, a phenomenological and patient-specific simulation approach incorporating the collagen fiber fabric is proposed. Cartilage tissue response is nearly isochoric and time-dependent under physiological pressure levels. Hence, a viscoelastic constitutive model capable of reproducing finite strains is employed, while the time-dependent deformation change is purely isochoric. The model incorporates seven material parameters, which all have a physical interpretation. To calibrate the model and facilitate further analysis, five human cartilage specimens underwent a number of tests. A series of magnetic resonance imaging (MRI) sequences is taken, next the cartilage surface is imaged, then mechanical indentation tests are completed at 2-7 different locations per sample, resulting in force/displacement data over time, and finally, the underlying bone surface is imaged. Imaging and mechanical testing are performed with a custom-built robotics-based testing device. Stereo reconstruction of the cartilage and subchondral bone surface is employed, which, together with the proposed constitutive model, led to specimen-specific finite element simulations of the mechanical indentation tests. The force-time response of 23 such indentation experiment simulations is optimized to estimate the mean material parameters and corresponding standard deviations. The model is capable of reproducing the deformation behavior of human articular cartilage in the physiological loading domain, as demonstrated by the good agreement between the experiment and numerical results (R(2)=0.95+/-0.03, mean+/-standard deviation of force-time response for 23 indentation tests). To address validation, a sevenfold cross-validation experiment is performed on the 21 experiments representing healthy cartilage. To quantify the predictive error, the mean of the absolute force differences and Pearson's correlation coefficient are both calculated. Deviations in the mean absolute difference, normalized by the peak force, range from 4% to 90%, with 40+/-25% (M+/-SD). The correlation coefficients across all predictions have a minimum of 0.939, and a maximum of 0.993 with 0.975+/-0.013 (M+/-SD), which demonstrates an excellent match of the decay characteristics. A novel feature of the proposed method is 3D sample-specific numerical tracking of the fiber fabric deformation under general loading. This feature is demonstrated by comparing the estimated fiber fabric deformation with recently published experimental data determined by diffusion tensor MRI. The proposed approach is efficient enough to enable large-scale 3D contact simulations of knee joint loading in simulations with accurate joint geometries. |
|---|---|
| AbstractList | To model the cartilage morphology and the material response, a phenomenological and patient-specific simulation approach incorporating the collagen fiber fabric is proposed. Cartilage tissue response is nearly isochoric and time-dependent under physiological pressure levels. Hence, a viscoelastic constitutive model capable of reproducing finite strains is employed, while the time-dependent deformation change is purely isochoric. The model incorporates seven material parameters, which all have a physical interpretation. To calibrate the model and facilitate further analysis, five human cartilage specimens underwent a number of tests. A series of magnetic resonance imaging (MRI) sequences is taken, next the cartilage surface is imaged, then mechanical indentation tests are completed at 2-7 different locations per sample, resulting in force/displacement data over time, and finally, the underlying bone surface is imaged. Imaging and mechanical testing are performed with a custom-built robotics-based testing device. Stereo reconstruction of the cartilage and subchondral bone surface is employed, which, together with the proposed constitutive model, led to specimen-specific finite element simulations of the mechanical indentation tests. The force-time response of 23 such indentation experiment simulations is optimized to estimate the mean material parameters and corresponding standard deviations. The model is capable of reproducing the deformation behavior of human articular cartilage in the physiological loading domain, as demonstrated by the good agreement between the experiment and numerical results (R(2)=0.95+/-0.03, mean+/-standard deviation of force-time response for 23 indentation tests). To address validation, a sevenfold cross-validation experiment is performed on the 21 experiments representing healthy cartilage. To quantify the predictive error, the mean of the absolute force differences and Pearson's correlation coefficient are both calculated. Deviations in the mean absolute difference, normalized by the peak force, range from 4% to 90%, with 40+/-25% (M+/-SD). The correlation coefficients across all predictions have a minimum of 0.939, and a maximum of 0.993 with 0.975+/-0.013 (M+/-SD), which demonstrates an excellent match of the decay characteristics. A novel feature of the proposed method is 3D sample-specific numerical tracking of the fiber fabric deformation under general loading. This feature is demonstrated by comparing the estimated fiber fabric deformation with recently published experimental data determined by diffusion tensor MRI. The proposed approach is efficient enough to enable large-scale 3D contact simulations of knee joint loading in simulations with accurate joint geometries.To model the cartilage morphology and the material response, a phenomenological and patient-specific simulation approach incorporating the collagen fiber fabric is proposed. Cartilage tissue response is nearly isochoric and time-dependent under physiological pressure levels. Hence, a viscoelastic constitutive model capable of reproducing finite strains is employed, while the time-dependent deformation change is purely isochoric. The model incorporates seven material parameters, which all have a physical interpretation. To calibrate the model and facilitate further analysis, five human cartilage specimens underwent a number of tests. A series of magnetic resonance imaging (MRI) sequences is taken, next the cartilage surface is imaged, then mechanical indentation tests are completed at 2-7 different locations per sample, resulting in force/displacement data over time, and finally, the underlying bone surface is imaged. Imaging and mechanical testing are performed with a custom-built robotics-based testing device. Stereo reconstruction of the cartilage and subchondral bone surface is employed, which, together with the proposed constitutive model, led to specimen-specific finite element simulations of the mechanical indentation tests. The force-time response of 23 such indentation experiment simulations is optimized to estimate the mean material parameters and corresponding standard deviations. The model is capable of reproducing the deformation behavior of human articular cartilage in the physiological loading domain, as demonstrated by the good agreement between the experiment and numerical results (R(2)=0.95+/-0.03, mean+/-standard deviation of force-time response for 23 indentation tests). To address validation, a sevenfold cross-validation experiment is performed on the 21 experiments representing healthy cartilage. To quantify the predictive error, the mean of the absolute force differences and Pearson's correlation coefficient are both calculated. Deviations in the mean absolute difference, normalized by the peak force, range from 4% to 90%, with 40+/-25% (M+/-SD). The correlation coefficients across all predictions have a minimum of 0.939, and a maximum of 0.993 with 0.975+/-0.013 (M+/-SD), which demonstrates an excellent match of the decay characteristics. A novel feature of the proposed method is 3D sample-specific numerical tracking of the fiber fabric deformation under general loading. This feature is demonstrated by comparing the estimated fiber fabric deformation with recently published experimental data determined by diffusion tensor MRI. The proposed approach is efficient enough to enable large-scale 3D contact simulations of knee joint loading in simulations with accurate joint geometries. To model the cartilage morphology and the material response, a phenomenological and patient-specific simulation approach incorporating the collagen fiber fabric is proposed. Cartilage tissue response is nearly isochoric and time-dependent under physiological pressure levels. Hence, a viscoelastic constitutive model capable of reproducing finite strains is employed, while the time-dependent deformation change is purely isochoric. The model incorporates seven material parameters, which all have a physical interpretation. To calibrate the model and facilitate further analysis, five human cartilage specimens underwent a number of tests. A series of magnetic resonance imaging (MRI) sequences is taken, next the cartilage surface is imaged, then mechanical indentation tests are completed at 2-7 different locations per sample, resulting in force/displacement data over time, and finally, the underlying bone surface is imaged. Imaging and mechanical testing are performed with a custom-built robotics-based testing device. Stereo reconstruction of the cartilage and subchondral bone surface is employed, which, together with the proposed constitutive model, led to specimen-specific finite element simulations of the mechanical indentation tests. The force-time response of 23 such indentation experiment simulations is optimized to estimate the mean material parameters and corresponding standard deviations. The model is capable of reproducing the deformation behavior of human articular cartilage in the physiological loading domain, as demonstrated by the good agreement between the experiment and numerical results (R(2)=0.95+/-0.03, mean+/-standard deviation of force-time response for 23 indentation tests). To address validation, a sevenfold cross-validation experiment is performed on the 21 experiments representing healthy cartilage. To quantify the predictive error, the mean of the absolute force differences and Pearson's correlation coefficient are both calculated. Deviations in the mean absolute difference, normalized by the peak force, range from 4% to 90%, with 40+/-25% (M+/-SD). The correlation coefficients across all predictions have a minimum of 0.939, and a maximum of 0.993 with 0.975+/-0.013 (M+/-SD), which demonstrates an excellent match of the decay characteristics. A novel feature of the proposed method is 3D sample-specific numerical tracking of the fiber fabric deformation under general loading. This feature is demonstrated by comparing the estimated fiber fabric deformation with recently published experimental data determined by diffusion tensor MRI. The proposed approach is efficient enough to enable large-scale 3D contact simulations of knee joint loading in simulations with accurate joint geometries. |
| Author | Trattnig, Siegfried Holzapfel, Gerhard A Pierce, David M Bischof, Horst Trobin, Werner |
| Author_xml | – sequence: 1 givenname: David M surname: Pierce fullname: Pierce, David M email: pierce@tugraz.at organization: Institute of Biomechanics, Center of Biomedical Engineering, Graz University of Technology, Kronesgasse 5-I, 8010, Graz, Austria. pierce@tugraz.at – sequence: 2 givenname: Werner surname: Trobin fullname: Trobin, Werner – sequence: 3 givenname: Siegfried surname: Trattnig fullname: Trattnig, Siegfried – sequence: 4 givenname: Horst surname: Bischof fullname: Bischof, Horst – sequence: 5 givenname: Gerhard A surname: Holzapfel fullname: Holzapfel, Gerhard A |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/19725695$$D View this record in MEDLINE/PubMed |
| BookMark | eNpNkDtPwzAQxy1UREth4Asgb0wpPifOY6wqXlIlFpiji2O3BscOiSPEzBfHFUViON3pf797npOZ804RcgVsBQDiFlYpZGVWwAlZgOBlUlYCZv_iOTkfxzfGAMqMnZE5VAUXeSUW5HtN-71yvotm_c5ItBT7fvAo9zT4Txxa2mMwyoVk7JU02kgqfddPIareRbzzrbLG7ajXFIdg5GRxoPIQWtwpapy0U3sApLcHxVFtGjXQMKB8j_oFOdVoR3V59Evyen_3snlMts8PT5v1NsGMpSFpWFsB6rKolIaUsSbnpZB5lemWF60utdJcacbSAkFIXqUskyi0YhgzsZIvyc1v33jex6TGUHdmlCru5JSfxrpI45wc8iyS10dyajrV1v1gOhy-6r-_8R-O4nPv |
| CitedBy_id | crossref_primary_10_1016_j_compbiomed_2024_109230 crossref_primary_10_1177_1947603518786554 crossref_primary_10_1088_0022_3727_46_45_455401 crossref_primary_10_1016_j_actbio_2014_02_008 crossref_primary_10_1016_j_jbiomech_2020_109995 crossref_primary_10_1007_s10237_024_01919_2 crossref_primary_10_1007_s10237_015_0685_x crossref_primary_10_1016_j_actbio_2020_10_025 crossref_primary_10_1038_srep19220 crossref_primary_10_1186_1742_9994_8_3 crossref_primary_10_1007_s10439_012_0598_0 crossref_primary_10_1115_1_4004493 crossref_primary_10_1080_10255842_2012_670854 crossref_primary_10_1155_2018_3791543 crossref_primary_10_1016_j_jbiomech_2015_03_014 crossref_primary_10_1016_j_jmbbm_2021_104963 crossref_primary_10_1016_j_jbiomech_2021_110497 crossref_primary_10_1016_j_jmbbm_2016_04_032 crossref_primary_10_1123_jab_29_3_292 crossref_primary_10_1002_gamm_200910014 crossref_primary_10_1007_s00419_021_01959_5 crossref_primary_10_1016_j_actbio_2025_07_043 crossref_primary_10_1016_j_actbio_2012_12_021 crossref_primary_10_1016_j_medengphy_2024_104200 crossref_primary_10_1007_s10237_012_0463_y crossref_primary_10_1155_2013_326150 crossref_primary_10_1007_s10439_018_2081_z crossref_primary_10_1016_j_jmbbm_2020_104150 crossref_primary_10_1109_TMI_2011_2139222 crossref_primary_10_1016_j_jmbbm_2016_01_015 crossref_primary_10_1016_j_jmbbm_2013_12_003 crossref_primary_10_1002_wsbm_1220 crossref_primary_10_1016_j_jbiomech_2025_112627 crossref_primary_10_1007_s00249_010_0629_4 |
| ContentType | Journal Article |
| DBID | CGR CUY CVF ECM EIF NPM 7X8 |
| DOI | 10.1115/1.3148471 |
| DatabaseName | Medline MEDLINE MEDLINE (Ovid) MEDLINE MEDLINE PubMed MEDLINE - Academic |
| DatabaseTitle | MEDLINE Medline Complete MEDLINE with Full Text PubMed MEDLINE (Ovid) MEDLINE - Academic |
| DatabaseTitleList | MEDLINE - Academic MEDLINE |
| Database_xml | – sequence: 1 dbid: NPM name: PubMed url: http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database – sequence: 2 dbid: 7X8 name: MEDLINE - Academic url: https://search.proquest.com/medline sourceTypes: Aggregation Database |
| DeliveryMethod | no_fulltext_linktorsrc |
| Discipline | Medicine Engineering Forestry |
| EISSN | 1528-8951 |
| ExternalDocumentID | 19725695 |
| Genre | Research Support, Non-U.S. Gov't Journal Article |
| GroupedDBID | --- -~X .DC .GJ 29J 4.4 53G 5AI 5GY 6TJ AAYJJ ABJNI ACBEA ACGFO ACGFS ACKMT ACXMS ADPDT AI. ALEEW ALMA_UNASSIGNED_HOLDINGS CGR CS3 CUY CVF EBS ECM EIF EJD F5P H~9 L7B NPM P2P RAI RNS RXW TAE TN5 UKR VH1 WHG ZE2 7X8 AGNGV |
| ID | FETCH-LOGICAL-a403t-b0d91af879ef1300b6285c694fd27df8fef2ef0037a15c29304ca5fe0afef91a2 |
| IEDL.DBID | 7X8 |
| ISICitedReferencesCount | 45 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000271162200006&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1528-8951 |
| IngestDate | Thu Oct 02 10:56:48 EDT 2025 Thu Apr 03 06:58:02 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 9 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-a403t-b0d91af879ef1300b6285c694fd27df8fef2ef0037a15c29304ca5fe0afef91a2 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| PMID | 19725695 |
| PQID | 734036164 |
| PQPubID | 23479 |
| ParticipantIDs | proquest_miscellaneous_734036164 pubmed_primary_19725695 |
| PublicationCentury | 2000 |
| PublicationDate | 2009-09-01 |
| PublicationDateYYYYMMDD | 2009-09-01 |
| PublicationDate_xml | – month: 09 year: 2009 text: 2009-09-01 day: 01 |
| PublicationDecade | 2000 |
| PublicationPlace | United States |
| PublicationPlace_xml | – name: United States |
| PublicationTitle | Journal of biomechanical engineering |
| PublicationTitleAlternate | J Biomech Eng |
| PublicationYear | 2009 |
| SSID | ssj0011840 |
| Score | 2.124222 |
| Snippet | To model the cartilage morphology and the material response, a phenomenological and patient-specific simulation approach incorporating the collagen fiber... |
| SourceID | proquest pubmed |
| SourceType | Aggregation Database Index Database |
| StartPage | 091006 |
| SubjectTerms | Cartilage, Articular - physiology Collagen - physiology Computer Simulation Elastic Modulus - physiology Humans Models, Biological Stress, Mechanical Tensile Strength |
| Title | A phenomenological approach toward patient-specific computational modeling of articular cartilage including collagen fiber tracking |
| URI | https://www.ncbi.nlm.nih.gov/pubmed/19725695 https://www.proquest.com/docview/734036164 |
| Volume | 131 |
| WOSCitedRecordID | wos000271162200006&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELaAIgQDj_IqL3lgtdqkseNMqEJUDLTqAKhb5Di2VKlKSpvyB_jj3DkOsCAGlshSZDmxv5zPd1--I-Q25qGRYZ-zPIzhgKJVj2UaA_lcZNyIQEiXLnh9isdjOZ0mE8_NWXlaZWMTnaHOS40x8m7cj8DYgnN_t3hjWDQKk6u-gsYmafXBk0FQx9PvJAIeXpxcaigZDBl4YSHwgboBnFUjNMy_O5Zugxke_PPRDsm-9yzpoIbCEdkwRZvs_dAbbJMdLMSJ1d2gOfJJ9WPyMaBI9EIphsYS0kZqnFaOVku9_CrDHzORXES1qwbhI4nU1dOBIWhpqcMiklupxuYcDBadFXq-xl2SOtwBaKlFqgqtlkpjsP6EvAwfnu8fma_NwBS8bMWyXp4Eyso4MRYzYhn-iqlFEllY9NxKa2xoLKrbqIBr8Cl6gANuTU_BHegZnpKtoizMOaGJ0DpW0sLJJouEFDLTHCVmbAR7p5G6Q2gz7SlgHxMaqjDlepV-TXyHnNVLly5qjY4Uq6lxkfCLvztfkt06RYTEsSvSsvDdm2uyrd-r2Wp54zAF1_Fk9AmYzdlh |
| linkProvider | ProQuest |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+phenomenological+approach+toward+patient-specific+computational+modeling+of+articular+cartilage+including+collagen+fiber+tracking&rft.jtitle=Journal+of+biomechanical+engineering&rft.au=Pierce%2C+David+M&rft.au=Trobin%2C+Werner&rft.au=Trattnig%2C+Siegfried&rft.au=Bischof%2C+Horst&rft.date=2009-09-01&rft.eissn=1528-8951&rft.volume=131&rft.issue=9&rft.spage=091006&rft_id=info:doi/10.1115%2F1.3148471&rft_id=info%3Apmid%2F19725695&rft_id=info%3Apmid%2F19725695&rft.externalDocID=19725695 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1528-8951&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1528-8951&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1528-8951&client=summon |