Biomechanics and Modeling in Mechanobiology

, Volume 16, Issue 3, pp 775–785 | Cite as

The choice of a constitutive formulation for modeling limb flexion-induced deformations and stresses in the human femoropopliteal arteries of different ages

  • Anastasia DesyatovaEmail author
  • Jason MacTaggart
  • William Poulson
  • Paul Deegan
  • Carol Lomneth
  • Anjali Sandip
  • Alexey KamenskiyEmail author
Original Paper


Open and endovascular treatments for peripheral arterial disease are notorious for high failure rates. Severe mechanical deformations experienced by the femoropopliteal artery (FPA) during limb flexion and interactions between the artery and repair materials play important roles and may contribute to poor clinical outcomes. Computational modeling can help optimize FPA repair, but these simulations heavily depend on the choice of constitutive model describing the arterial behavior. In this study finite element model of the FPA in the standing (straight) and gardening (acutely bent) postures was built using computed tomography data, longitudinal pre-stretch and biaxially determined mechanical properties. Springs and dashpots were used to represent surrounding tissue forces associated with limb flexion-induced deformations. These forces were then used with age-specific longitudinal pre-stretch and mechanical properties to obtain deformed FPA configurations for seven age groups. Four commonly used invariant-based constitutive models were compared to determine the accuracy of capturing deformations and stresses in each age group. The four-fiber FPA model most accurately portrayed arterial behavior in all ages, but in subjects younger than 40 years, the performance of all constitutive formulations was similar. In older subjects, Demiray (Delfino) and classic two-fiber Holzapfel–Gasser–Ogden formulations were better than the Neo-Hookean model for predicting deformations due to limb flexion, but both significantly overestimated principal stresses compared to the FPA or Neo-Hookean models.


Femoropopliteal artery Limb flexion Finite element modeling Constitutive model 



Research reported in this publication was supported in part by National Heart, Lung, And Blood Institute of the National Institutes of Health [Grant Numbers R01 HL125736 and F32 HL124905]. The authors also wish to acknowledge the Nebraska Organ Recovery System (NORS), and the Charles and Mary Heider Fund for Excellence in Vascular Surgery for their help and support.

Funding This study was supported in part by the National Heart, Lung, And Blood Institute of the National Institutes of Health under Award Numbers R01 HL125736 and F32 HL124905.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Surgery, 987690 Nebraska Medical CenterUniversity of Nebraska Medical CenterOmahaUSA
  2. 2.Department of Genetics, Cell Biology and AnatomyUniversity of Nebraska Medical CenterOmahaUSA

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