Achilles tendon stress is more sensitive to subject-specific geometry than subject-specific material properties: A finite element analysis.

This study used subject-specific measures of three-dimensional (3D) free Achilles tendon geometry in conjunction with a finite element method to investigate the effect of variation in subject-specific geometry and subject-specific material properties on tendon stress during submaximal isometric loading. Achilles tendons of eight participants (Aged 25-35years) were scanned with freehand 3D ultrasound at rest and during a 70% maximum voluntary isometric contraction. Ultrasound images were segmented, volume rendered and transformed into subject-specific 3D finite element meshes. The mean (±SD) lengths, volumes and cross-sectional areas of the tendons at rest were 62±13mm, 3617±984mm3 and 58±11mm2 respectively. The measured tendon strain at 70% MVIC was 5.9±1.3%. Subject-specific material properties were obtained using an optimisation approach that minimised the difference between measured and modelled longitudinal free tendon strain. Generic geometry was represented by the average mesh and generic material properties were taken from the literature. Local stresses were subsequently computed for combinations of subject-specific and generic geometry and material properties. For a given geometry, changing from generic to subject-specific material properties had little effect on the stress distribution in the tendon. In contrast, changing from generic to subject-specific geometry had a 26-fold greater effect on tendon stress distribution. Overall, these findings indicate that the stress distribution experienced by the living free Achilles tendon of a young and healthy population during voluntary loading are more sensitive to variation in tendon geometry than variation in tendon material properties.

[1]  M. Terk,et al.  MRI of the achilles tendon: A comprehensive review of the anatomy, biomechanics, and imaging of overuse tendinopathies , 2010, Acta radiologica.

[2]  Cornelius O. Horgan,et al.  Recent Developments Concerning Saint-Venant’s Principle: A Second Update , 1989 .

[3]  Andrew H. Gee,et al.  Fast surface and volume estimation from non-parallel cross-sections, for freehand three-dimensional ultrasound , 1999, Medical Image Anal..

[4]  T. Vieira,et al.  Strain and slackness of achilles tendon during passive joint mobilization via imaging ultrasonography , 2008 .

[5]  Graham M. Treece,et al.  High-definition freehand 3-D ultrasound. , 2003, Ultrasound in medicine & biology.

[6]  Kenneth S. Lee,et al.  Spatial variations in Achilles tendon shear wave speed. , 2014, Journal of biomechanics.

[7]  V Reggie Edgerton,et al.  Mapping of movement in the isometrically contracting human soleus muscle reveals details of its structural and functional complexity. , 2003, Journal of applied physiology.

[8]  Rod Barrett,et al.  Validation of a freehand 3D ultrasound system for morphological measures of the medial gastrocnemius muscle. , 2009, Journal of biomechanics.

[9]  R. Barrett,et al.  Three-dimensional deformation and transverse rotation of the human free Achilles tendon in vivo during isometric plantarflexion contraction. , 2014, Journal of applied physiology.

[10]  Jack A. Martin,et al.  Quantitative ultrasound mapping of regional variations in shear wave speeds of the aging Achilles tendon , 2017, European Radiology.

[11]  R. Barrett,et al.  In vivo measurement of human achilles tendon morphology using freehand 3-D ultrasound. , 2014, Ultrasound in medicine & biology.

[12]  Po-Wei Hsu,et al.  Rapid, easy and reliable calibration for freehand 3D ultrasound. , 2006, Ultrasound in medicine & biology.

[13]  T. Fukunaga,et al.  Ultrasonography gives directly but noninvasively elastic characteristic of human tendon in vivo , 1995, European Journal of Applied Physiology and Occupational Physiology.

[14]  P. Magnusson Ultrasonography, exploration of human muscle‐tendon function , 2002, Scandinavian journal of medicine & science in sports.

[15]  M. Kjaer,et al.  Structural Achilles tendon properties in athletes subjected to different exercise modes and in Achilles tendon rupture patients. , 2005, Journal of applied physiology.

[16]  P. Komi Relevance of in vivo force measurements to human biomechanics. , 1990, Journal of biomechanics.

[17]  Pankaj Sharma,et al.  Achilles Tendinopathy: Aetiology and Management , 2004, Journal of the Royal Society of Medicine.

[18]  Justin W. Fernandez,et al.  Subject-specific finite element analysis to characterize the influence of geometry and material properties in Achilles tendon rupture. , 2014, Journal of biomechanics.

[19]  M. Reijman,et al.  Predictors of Primary Achilles Tendon Ruptures , 2014, Sports Medicine.

[20]  J. P. Paul,et al.  Tensile properties of the in vivo human gastrocnemius tendon. , 2002, Journal of biomechanics.

[21]  T. Fukunaga,et al.  Geometric and Elastic Properties of in vivo Human Achilles Tendon in Young Adults , 2004, Cells Tissues Organs.

[22]  G. Beaupré,et al.  Mechanical properties of the human achilles tendon. , 2001, Clinical biomechanics.

[23]  P. Aagaard,et al.  Mechanical properties of the human Achilles tendon, in vivo. , 2011, Clinical biomechanics.

[24]  L. Nuri,et al.  Regional three‐dimensional deformation of human Achilles tendon during conditioning , 2017, Scandinavian journal of medicine & science in sports.

[25]  Justin W. Fernandez,et al.  Anatomically based geometric modelling of the musculo-skeletal system and other organs , 2004, Biomechanics and modeling in mechanobiology.

[26]  K. Kulig,et al.  Tendinopathy alters mechanical and material properties of the Achilles tendon. , 2010, Journal of applied physiology.

[27]  J. Weiss,et al.  Finite element implementation of incompressible, transversely isotropic hyperelasticity , 1996 .

[28]  P. Slagmolen,et al.  Strain mapping in the Achilles tendon - A systematic review. , 2016, Journal of biomechanics.