PMID: 12751278May 20, 2003Paper

A growth mixture theory for cartilage with application to growth-related experiments on cartilage explants

Journal of Biomechanical Engineering
Stephen M KlischA Hoger

Abstract

In this paper, we present a growth mixture model for cartilage. The main features of this model are illustrated in a simple equilibrium boundary-value problem that is chosen to illustrate how a mechanical theory of cartilage growth may be applied to growth-related experiments on cartilage explants. The cartilage growth mixture model describes the independent growth of the proteoglycan and collagen constituents due to volumetric mass deposition, which leads to the remodeling of the composition and the mechanical properties of the solid matrix. The model developed here also describes how the material constants of the collagen constituent depend on a scalar parameter that may change over time (e.g., crosslink density); this leads to a remodeling of the structural and mechanical properties of the collagen constituent. The equilibrium boundary-value problem that describes the changes observed in cartilage explants harvested at different stages of a growth or a degenerative process is formulated. This boundary-value problem is solved using existing experimental data for developing bovine cartilage explants harvested at three developmental stages. The solution of the boundary-value problem in conjunction with existing experimental dat...Continue Reading

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Citations

Jan 9, 2007·Biomechanics and Modeling in Mechanobiology·Gerard A Ateshian
Aug 19, 2007·Biomechanics and Modeling in Mechanobiology·Andrew DavolStephen M Klisch
Jul 8, 2009·Biomechanics and Modeling in Mechanobiology·Esther Reina-RomoM Doblaré
Sep 15, 2012·Biomechanics and Modeling in Mechanobiology·Paola CausinMaurizio Verri
Jan 27, 2011·Biological Trace Element Research·Xiaoyan ZhuGuowen Liu
Dec 12, 2003·The Annals of Thoracic Surgery·Koji KojimaCharles A Vacanti
Aug 3, 2007·Computer Methods in Biomechanics and Biomedical Engineering·Bruce GardinerLihai Zhang
Feb 22, 2011·Computer Methods in Biomechanics and Biomedical Engineering·Mehdi KhoshgoftarKeita Ito
Feb 25, 2011·Computer Methods in Biomechanics and Biomedical Engineering·H SchmidM Itskov
Mar 1, 2009·Journal of Biological Dynamics·Rebecca Vandiver, Alain Goriely
Apr 6, 2007·Journal of Biomechanical Engineering·Stephen M Klisch
Jul 28, 2007·Journal of Biomechanical Engineering·Sean S KohlesLawrence J Bonassar
Jun 6, 2008·Journal of Biomechanical Engineering·Stephen M KlischRobert L Sah
Mar 12, 2009·Journal of Biomechanical Engineering·Timothy P FicklinStephen M Klisch
Apr 23, 2008·Pediatric Research·Gregory M WilliamsRobert L Sah
May 3, 2013·Biomechanics and Modeling in Mechanobiology·Valentin Dhote, Franck J Vernerey
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Jan 1, 2014·Tissue Engineering. Part a·Mehdi KhoshgoftarCorrinus C van Donkelaar
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May 15, 2009·Journal of Biomechanics·Gerard A Ateshian, Morton H Friedman
Jul 14, 2007·Journal of Biomechanics·Timothy FicklinStephen M Klisch
May 26, 2007·Osteoarthritis and Cartilage·M A DimiccoA J Grodzinsky
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Aug 11, 2005·Physical Review Letters·Alain Goriely, Martine Ben Amar
Jul 7, 2021·Journal of Biomechanical Engineering·Danielle HoweMatthew B Fisher
Oct 12, 2021·Frontiers in Physiology·Seyed M SeyedpourTim Ricken

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