A novel microstructural approach in tendon viscoelastic modelling at the fibrillar level

Ciarletta, Pasquale; Micera, Silvestro; Accoto, Dino; Dario, P.

doi:10.1016/j.jbiomech.2005.06.025

Cited by 47 publications

(33 citation statements)

References 89 publications

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“…This behavior is similar to results found for sheep digital tendons, 33 porcine digital flexor tendon, 5 mouse tail tendons, 9 and Respective number of specimens for each category: relaxation at 6% (n = 43), relaxation at 3% (n = 20), relaxation at 2% (n = 20), recovery at 3% (n = 10), recovery at 2% (n = 13), and recovery at 1% (n = 10). bovine cornea.…”

Section: Discussionsupporting

confidence: 84%

Viscoelastic Relaxation and Recovery of Tendon

2009

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Abstract-Tendons exhibit complex viscoelastic behaviors during relaxation and recovery. Recovery is critical to predicting behavior in subsequent loading, yet is not well studied. Our goal is to explore time-dependent recovery of these tendons after loading. As a prerequisite, their straindependent viscoelastic behaviors during relaxation were also characterized. The porcine digital flexor tendon was used as a model of tendon behavior. Strain-dependent relaxation was observed in tests at 1, 2, 3, 4, 5, and 6% strain. Recovery behavior of the tendon was examined by performing relaxation tests at 6%, then dropping to a low but nonzero strain level. Results show that the rate of relaxation in tendon is indeed a function of strain. Unlike previously reported tests on the medial collateral ligament (MCL), the relaxation rate of tendons increased with increased levels of strain. This strain-dependent relaxation contrasts with quasilinear viscoelasticity (QLV), which predicts equal time dependence across various strains. Also, the tendons did not recover to predicted levels by nonlinear superposition models or QLV, though they did recover partially. This recovery behavior and behavior during subsequent loadings will then become problematic for both quasilinear and nonlinear models to correctly predict.

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Section: Discussionsupporting

confidence: 84%

Viscoelastic Relaxation and Recovery of Tendon

2009

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“…Using a different approach, a dissipative theory was applied to account for temporary reversible interfibrillar bridges between collagenous and non-collagenous components in interpreting tendon softening and non-recoverable strains in cyclic mechanical testing [76,115]. In this case, the time-dependent strain energy function was taken as the sum of the viscoelastic strain energy functions for the anisotropic non-fibrillar matrix and collagen fibrils [91,115]. The breaking and reformation of active regions in both matrix and fibrillar components were represented by the transient network theory [76] and contributed to the rsfs.royalsocietypublishing.org Interface Focus 6: 20150044 model's constitutive equation [76,114].…”

Section: Contribution Of Proteoglycans To Tendon Mechanics and Their mentioning

confidence: 99%

Modelling approaches for evaluating multiscale tendon mechanics

Fang

Lake

2016

Interface Focus.

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Tendon exhibits anisotropic, inhomogeneous and viscoelastic mechanical properties that are determined by its complicated hierarchical structure and varying amounts/organization of different tissue constituents. Although extensive research has been conducted to use modelling approaches to interpret tendon structure–function relationships in combination with experimental data, many issues remain unclear (i.e. the role of minor components such as decorin, aggrecan and elastin), and the integration of mechanical analysis across different length scales has not been well applied to explore stress or strain transfer from macro- to microscale. This review outlines mathematical and computational models that have been used to understand tendon mechanics at different scales of the hierarchical organization. Model representations at the molecular, fibril and tissue levels are discussed, including formulations that follow phenomenological and microstructural approaches (which include evaluations of crimp, helical structure and the interaction between collagen fibrils and proteoglycans). Multiscale modelling approaches incorporating tendon features are suggested to be an advantageous methodology to understand further the physiological mechanical response of tendon and corresponding adaptation of properties owing to unique in vivo loading environments.

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“…In order to account for the observed microstructural interactions, continuous breakage and reformation processes of the adaptive GAG-mediated junctions need to be considered in order to derive a dissipative constitutive model of ligaments and tendons (Ciarletta et al 2006).…”

Section: Dissipative Constitutive Equation For the Anisotropic Responmentioning

confidence: 99%

“…The theoretical and experimental curves are shown in figures 2 and 3, while the fitted microstructural material parameters are collected in table 1, demonstrating the ability of the proposed model to describe accurately the viscoelastic damage behaviour of the tissues under the loading phase. In order to model the hysteretic response of ligaments and tendons under a cyclic uniaxial strain, the softening of the macroscopic tissue in the unloading phase is related to the adaptive microstructural recruitment of the ECM constituents (Ciarletta et al 2006). Reversible interactions of GAG chains are modelled as a strain-driven slippage mechanism causing a progressive detachment of fibrillar collagen, followed by a GAG bridging process from the resting state of the reformed interfibrillar connections (Scott 2003).…”

Section: K1mentioning

confidence: 99%

A finite dissipative theory of temporary interfibrillar bridges in the extracellular matrix of ligaments and tendons

Ciarletta

Amar

2008

J. R. Soc. Interface.

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The structural integrity and the biomechanical characteristics of ligaments and tendons result from the interactions between collagenous and non-collagenous proteins (e.g. proteoglycans, PGs) in the extracellular matrix. In this paper, a dissipative theory of temporary interfibrillar bridges in the anisotropic network of collagen type I, embedded in a ground substance, is derived. The glycosaminoglycan chains of decorin are assumed to mediate interactions between fibrils, behaving as viscous structures that transmit deformations outside the collagen molecules. This approach takes into account the dissipative effects of the unfolding preceding fibrillar elongation, together with the slippage of entire fibrils and the strain-rate-dependent damage evolution of the interfibrillar bridges. Thermodynamic consistency is used to derive the constitutive equations, and the transition state theory is applied to model the rearranging properties of the interfibrillar bridges. The constitutive theory is applied to reproduce the hysteretic spectrum of the tissues, demonstrating how PGs determine damage evolution, softening and non-recoverable strains in their cyclic mechanical response. The theoretical predictions are compared with the experimental response of ligaments and tendons from referenced studies. The relevance of the proposed model in mechanobiology research is discussed, together with several applications from medical practice to bioengineering science.

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A novel microstructural approach in tendon viscoelastic modelling at the fibrillar level

Cited by 47 publications

References 89 publications

Viscoelastic Relaxation and Recovery of Tendon

Viscoelastic Relaxation and Recovery of Tendon

Modelling approaches for evaluating multiscale tendon mechanics

A finite dissipative theory of temporary interfibrillar bridges in the extracellular matrix of ligaments and tendons

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