A nonlinear finite element model of cartilage growth

Davol, Andrew; Bingham, Michael S.; Sah, Robert L.; Klisch, Stephen M.

doi:10.1007/s10237-007-0098-6

Cited by 19 publications

(15 citation statements)

References 60 publications

(69 reference statements)

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“…Changes in the size, biochemical composition, and tensile properties of growing cartilage explants in vitro have been successfully described using this growth mixture model approach (6). With similar assumptions, a cartilage growth finite element model has been proposed recently and may facilitate the description of specific experimental protocols such as compression or perfusion (33). Such models of cartilage growth may ultimately be useful for predicting the geometry, composition, and biomechanical properties of a tissue.…”

Section: Growth and Maturationmentioning

confidence: 99%

Bioengineering Cartilage Growth, Maturation, and Form

2008

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Cartilage of articular joints grows and matures to achieve characteristic sizes, forms, and functional properties. Through these processes, the tissue not only serves as a template for bone growth but also yields mature articular cartilage providing joints with a low-friction, wear-resistant bearing material. The study of cartilage growth and maturation is a focus of both cartilage biologists and bioengineers with one goal of trying to create biologic tissue substitutes for the repair of damaged joints. Experimental approaches both in vivo and in vitro are being used to better understand the mechanisms and regulation of growth and maturation processes. This knowledge may facilitate the controlled manipulation of cartilage size, shape, and maturity to meet the criteria needed for successful clinical applications. Mathematical models are also useful tools for quantitatively describing the dynamically changing composition, structure and function of cartilage during growth and maturation and may aid the development of tissue engineering solutions. Recent advances in methods of cartilage formation and culture which control the size, shape, and maturity of these tissues are numerous and provide contrast to the physiologic development of cartilage.

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Section: Growth and Maturationmentioning

confidence: 99%

Bioengineering Cartilage Growth, Maturation, and Form

2008

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“…Continuum mechanics cartilage growth mixture (CGM) models have been developed that allow AC to be modeled as a mixture of constituents that can grow at different rates (Klisch et al, 2003;Davol et al, 2007). These models include many adjustable parameters; in order to not over-parameterize a growth simulation, comprehensive mechanical and biochemical property data are needed.…”

Section: Introductionmentioning

confidence: 99%

Articular cartilage mechanical and biochemical property relations before and after in vitro growth

Ficklin

Thomas

Barthel

et al. 2007

Journal of Biomechanics

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The aim of this study was to design in vitro growth protocols that can comprehensively quantify articular cartilage structure-function relations via measurement of mechanical and biochemical properties. Newborn bovine patellofemoral groove articular cartilage explants were tested sequentially in confined compression (CC), unconfined compression (UCC), and torsional shear before (D0 i.e. day zero) and after (D14 i.e. day 14) unstimulated in vitro growth. The contents of collagen (COL), collagen-specific pyridinoline (PYR) crosslinks, glycosaminoglycan, and DNA significantly decreased during in vitro growth; consequently, a wide range of biochemical properties existed for investigating structure-function relations when pooling the D0 and D14 groups. All D0 mechanical properties were independent of compression strain while only Poisson's ratios were dependent on direction (i.e. anisotropic). Select D0 and D14 group mechanical properties were correlated with biochemical measures; including (but not limited to) results that CC/UCC moduli and UCC Poisson's ratios were correlated with COL and PYR. COL network weakening during in vitro growth due to reduced COL and PYR was accompanied by reduced CC/UCC moduli and increased UCC Poisson's ratios.

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“…1). On the basis of previous studies (Garikipati et al 2004;Davol et al 2008) and according to this hypothesis, the total deformation gradient is assumed to be composed of the elastic deformation associated with the external loads and that related to tissue growth or differentiation. From t k to t k+1 , the incremental tensor associated with growth (F g ) accounts for the change in size and shape due to volumetric growth and for the new tissue produced or differentiated during the incremental growth process (Rodriguez et al 1994;Taber and Eggers 1996;Taber 1998;Garikipati et al 2004;Ramasubramanian and Taber 2008).…”

Section: General Mathematical Modelmentioning

confidence: 99%

Growth mixture model of distraction osteogenesis: effect of pre-traction stresses

Reina-Romo

Gómez‐Benito

García-Aznar

et al. 2009

Biomech Model Mechanobiol

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In tensional studies of bone fragments during limb lengthening, it is usually assumed that the stress level in the gap tissue before each distraction step (pre-traction stress) is rather modest. However, during the process of distraction osteogenesis, a large interfragmentary gap is generated and these pre-traction stresses may be important. To date, to the authors' knowledge, no computational study has been developed to assess the effect of stress accumulation during limb lengthening. In this work, we present a macroscopic growth mixture formulation to investigate the influence of pre-traction stresses on the outcome of this clinical procedure. In particular, the model is applied to the simulation of the regeneration of tibial defects by means of distraction osteogenesis. The evolution of pre-traction forces, post-traction forces and peak forces is evaluated and compared with experimental data. The results show that the inclusion of pre-traction stresses in the model affects the evolution of the regeneration process and the corresponding reaction forces.

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A nonlinear finite element model of cartilage growth

Cited by 19 publications

References 60 publications

Bioengineering Cartilage Growth, Maturation, and Form

Bioengineering Cartilage Growth, Maturation, and Form

Articular cartilage mechanical and biochemical property relations before and after in vitro growth

Growth mixture model of distraction osteogenesis: effect of pre-traction stresses

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