Impact of measurement errors on the determination of the linear modulus of human meniscal attachments

Andreas Martin Seitz, Uwe Wolfram, Carina Wiedenmann, Anita Ignatius, Lutz Dürselen

Research output: Contribution to journalArticle

Abstract

For the development of meniscal substitutes and related finite element models it is necessary to know the mechanical properties of the meniscus and its attachments. Measurement errors can falsify the determination of material properties. Therefore the impact of metrological and geometrical measurement errors on the determination of the linear modulus of human meniscal attachments was investigated. After total differentiation the error of the force (+0.10%), attachment deformation (-0.16%), and fibre length (+0.11%) measurements almost annulled each other. The error of the cross-sectional area determination ranged from 0.00%, gathered from histological slides, up to 14.22%, obtained from digital calliper measurements. Hence, total measurement error ranged from +0.05% to -14.17%, predominantly affected by the cross-sectional area determination error. Further investigations revealed that the entire cross-section was significantly larger compared to the load-carrying collagen fibre area. This overestimation of the cross-section area led to an underestimation of the linear modulus of up to -36.7%. Additionally, the cross-sections of the collagen-fibre area of the attachments significantly varied up to +90% along their longitudinal axis. The resultant ratio between the collagen fibre area and the histologically determined cross-sectional area ranged between 0.61 for the posterolateral and 0.69 for the posteromedial ligament. The linear modulus of human meniscal attachments can be significantly underestimated due to the use of different methods and locations of cross-sectional area determination. Hence, it is suggested to assess the load carrying collagen fibre area histologically, or, alternatively, to use the correction factors proposed in this study.

Original languageEnglish
Pages (from-to)120-127
Number of pages8
JournalJournal of the Mechanical Behavior of Biomedical Materials
Volume10
DOIs
Publication statusPublished - Jun 2012

Fingerprint

Measurement errors
Collagen
Fibers
Ligaments
Materials properties
Mechanical properties

Keywords

  • Error analysis
  • Geometry
  • Knee
  • Linear modulus
  • Meniscal attachments

ASJC Scopus subject areas

  • Biomaterials
  • Biomedical Engineering
  • Mechanics of Materials

Cite this

Seitz, Andreas Martin ; Wolfram, Uwe ; Wiedenmann, Carina ; Ignatius, Anita ; Dürselen, Lutz. / Impact of measurement errors on the determination of the linear modulus of human meniscal attachments. In: Journal of the Mechanical Behavior of Biomedical Materials. 2012 ; Vol. 10. pp. 120-127.
@article{ea150f728e03490a815598547f528c37,
title = "Impact of measurement errors on the determination of the linear modulus of human meniscal attachments",
abstract = "For the development of meniscal substitutes and related finite element models it is necessary to know the mechanical properties of the meniscus and its attachments. Measurement errors can falsify the determination of material properties. Therefore the impact of metrological and geometrical measurement errors on the determination of the linear modulus of human meniscal attachments was investigated. After total differentiation the error of the force (+0.10{\%}), attachment deformation (-0.16{\%}), and fibre length (+0.11{\%}) measurements almost annulled each other. The error of the cross-sectional area determination ranged from 0.00{\%}, gathered from histological slides, up to 14.22{\%}, obtained from digital calliper measurements. Hence, total measurement error ranged from +0.05{\%} to -14.17{\%}, predominantly affected by the cross-sectional area determination error. Further investigations revealed that the entire cross-section was significantly larger compared to the load-carrying collagen fibre area. This overestimation of the cross-section area led to an underestimation of the linear modulus of up to -36.7{\%}. Additionally, the cross-sections of the collagen-fibre area of the attachments significantly varied up to +90{\%} along their longitudinal axis. The resultant ratio between the collagen fibre area and the histologically determined cross-sectional area ranged between 0.61 for the posterolateral and 0.69 for the posteromedial ligament. The linear modulus of human meniscal attachments can be significantly underestimated due to the use of different methods and locations of cross-sectional area determination. Hence, it is suggested to assess the load carrying collagen fibre area histologically, or, alternatively, to use the correction factors proposed in this study.",
keywords = "Error analysis, Geometry, Knee, Linear modulus, Meniscal attachments",
author = "Seitz, {Andreas Martin} and Uwe Wolfram and Carina Wiedenmann and Anita Ignatius and Lutz D{\"u}rselen",
year = "2012",
month = "6",
doi = "10.1016/j.jmbbm.2012.02.027",
language = "English",
volume = "10",
pages = "120--127",
journal = "Journal of the Mechanical Behavior of Biomedical Materials",
issn = "1751-6161",
publisher = "Elsevier",

}

Impact of measurement errors on the determination of the linear modulus of human meniscal attachments. / Seitz, Andreas Martin; Wolfram, Uwe; Wiedenmann, Carina; Ignatius, Anita; Dürselen, Lutz.

In: Journal of the Mechanical Behavior of Biomedical Materials, Vol. 10, 06.2012, p. 120-127.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Impact of measurement errors on the determination of the linear modulus of human meniscal attachments

AU - Seitz, Andreas Martin

AU - Wolfram, Uwe

AU - Wiedenmann, Carina

AU - Ignatius, Anita

AU - Dürselen, Lutz

PY - 2012/6

Y1 - 2012/6

N2 - For the development of meniscal substitutes and related finite element models it is necessary to know the mechanical properties of the meniscus and its attachments. Measurement errors can falsify the determination of material properties. Therefore the impact of metrological and geometrical measurement errors on the determination of the linear modulus of human meniscal attachments was investigated. After total differentiation the error of the force (+0.10%), attachment deformation (-0.16%), and fibre length (+0.11%) measurements almost annulled each other. The error of the cross-sectional area determination ranged from 0.00%, gathered from histological slides, up to 14.22%, obtained from digital calliper measurements. Hence, total measurement error ranged from +0.05% to -14.17%, predominantly affected by the cross-sectional area determination error. Further investigations revealed that the entire cross-section was significantly larger compared to the load-carrying collagen fibre area. This overestimation of the cross-section area led to an underestimation of the linear modulus of up to -36.7%. Additionally, the cross-sections of the collagen-fibre area of the attachments significantly varied up to +90% along their longitudinal axis. The resultant ratio between the collagen fibre area and the histologically determined cross-sectional area ranged between 0.61 for the posterolateral and 0.69 for the posteromedial ligament. The linear modulus of human meniscal attachments can be significantly underestimated due to the use of different methods and locations of cross-sectional area determination. Hence, it is suggested to assess the load carrying collagen fibre area histologically, or, alternatively, to use the correction factors proposed in this study.

AB - For the development of meniscal substitutes and related finite element models it is necessary to know the mechanical properties of the meniscus and its attachments. Measurement errors can falsify the determination of material properties. Therefore the impact of metrological and geometrical measurement errors on the determination of the linear modulus of human meniscal attachments was investigated. After total differentiation the error of the force (+0.10%), attachment deformation (-0.16%), and fibre length (+0.11%) measurements almost annulled each other. The error of the cross-sectional area determination ranged from 0.00%, gathered from histological slides, up to 14.22%, obtained from digital calliper measurements. Hence, total measurement error ranged from +0.05% to -14.17%, predominantly affected by the cross-sectional area determination error. Further investigations revealed that the entire cross-section was significantly larger compared to the load-carrying collagen fibre area. This overestimation of the cross-section area led to an underestimation of the linear modulus of up to -36.7%. Additionally, the cross-sections of the collagen-fibre area of the attachments significantly varied up to +90% along their longitudinal axis. The resultant ratio between the collagen fibre area and the histologically determined cross-sectional area ranged between 0.61 for the posterolateral and 0.69 for the posteromedial ligament. The linear modulus of human meniscal attachments can be significantly underestimated due to the use of different methods and locations of cross-sectional area determination. Hence, it is suggested to assess the load carrying collagen fibre area histologically, or, alternatively, to use the correction factors proposed in this study.

KW - Error analysis

KW - Geometry

KW - Knee

KW - Linear modulus

KW - Meniscal attachments

UR - http://www.scopus.com/inward/record.url?scp=84859953935&partnerID=8YFLogxK

U2 - 10.1016/j.jmbbm.2012.02.027

DO - 10.1016/j.jmbbm.2012.02.027

M3 - Article

VL - 10

SP - 120

EP - 127

JO - Journal of the Mechanical Behavior of Biomedical Materials

JF - Journal of the Mechanical Behavior of Biomedical Materials

SN - 1751-6161

ER -