ArticleJournal of the Royal Society, Interface2009
A finite dissipative theory of temporary interfibrillar bridges in the extracellular matrix of ligaments and tendons.
Article in Journal of the Royal Society, Interface, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed, 55 citations in OpenAlex.
- Role of intra-lamellar collagen and hyaluronan nanostructures in annulus fibrosus on lumbar spine biomechanics: insights from molecular mechanics-finite element-based multiscale analyses.Medical & biological engineering & computing · 2025Article
- Fibre crosslinking drives the emergence of order in a three-dimensional dynamical network model.Royal Society open science · 2024Article
- Interfibrillar stiffening of echinoderm mutable collagenous tissue demonstrated at the nanoscale.Proceedings of the National Academy of Sciences of the United States of America · 2016Article
- Modelling approaches for evaluating multiscale tendon mechanics.Interface focus · 2016Article
- Micromechanical poroelastic finite element and shear-lag models of tendon predict large strain dependent Poisson's ratios and fluid expulsion under tensile loading.Acta biomaterialia · 2015Article
- Incorporating plasticity of the interfibrillar matrix in shear lag models is necessary to replicate the multiscale mechanics of tendon fascicles.Journal of the mechanical behavior of biomedical materials · 2014Article
- Interfibrillar shear stress is the loading mechanism of collagen fibrils in tendon.Acta biomaterialia · 2014Article
- The Achilles tendon: fundamental properties and mechanisms governing healing.Muscles, ligaments and tendons journal · 2014Review
- A model of crosslink kinetics in the expanding plant cell wall: yield stress and enzyme action.Journal of theoretical biology · 2012Article
- The radial growth phase of malignant melanoma: multi-phase modelling, numerical simulations and linear stability analysis.Journal of the Royal Society, Interface · 2011Article
- A mechanistic study for strain rate sensitivity of rabbit patellar tendon.Journal of biomechanics · 2010Article
- Automated image analysis method for quantifying damage accumulation in tendon.Journal of biomechanics · 2010Article
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
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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