A numerical model of heterogeneous surface strains in polymer scaffolds

Baas, Elbert; Kuiper, Jan Herman

doi:10.1016/j.jbiomech.2008.01.018

Cited by 19 publications

(15 citation statements)

References 14 publications

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“…The FE mesh was generated from mCT-R 1 using Finite Element-software v1.04 (Scanco Medical AG, Zürich, Switzerland), by converting each voxel to isotropic elastic brick elements with 8 nodes (van Rietbergen et al, 1996). The experimental conditions of macroscopic compression were simulated as described previously (Baas and Kuiper, 2008).…”

Section: Methods Ii: Mfe Analysismentioning

confidence: 99%

“…Such methods have been applied earlier to estimate local stress and strain inside and mechanical properties of trabecular bone (Jacobs, 2000;Müller and Rüegsegger, 1995;Ulrich et al, 1998;van Rietbergen et al, 1999;van Rietbergen, 2001;Zauel et al, 2006). Recently, a numerical local strain estimation technique, combining mCT imaging with linear micro-Finite Element (mFE) modelling, was verified as a step towards investigating the relationship between local surface strain and local mineralization in polymer scaffolds (Baas and Kuiper, 2008).…”

Section: Introductionmentioning

confidence: 99%

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In vitro bone growth responds to local mechanical strain in three-dimensional polymer scaffolds

Baas

Kuiper

Yang

et al. 2010

Journal of Biomechanics

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Section: Methods Ii: Mfe Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

In vitro bone growth responds to local mechanical strain in three-dimensional polymer scaffolds

Baas

Kuiper

Yang

et al. 2010

Journal of Biomechanics

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“…The fine mesh which accurately describes Ω is generated based on image data supplied by Prof. El Haj & Dr. Kuiper. Here, only a coarse model has been employed; a more detailed description of the scaffold geometry is presented in the articles [4,5]. However, even for this 'coarse' model, the underlying fine finite element mesh consists of 15.8 million elements.…”

Section: Example 2: Flow Past a 3d Scaffold Geometrymentioning

confidence: 99%

“…As an example arising in biological applications, in Figure 1, we show a finite element mesh of a porous scaffold employed for in vitro bone tissue growth, cf. [4,5]. Here, the mesh, consisting of 3.2 million elements, has been generated based on µCT image data represented in the form of voxels.…”

Section: Introductionmentioning

confidence: 99%

Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains

Antonietti

Cangiani

Collis

et al. 2016

Lecture Notes in Computational Science and Engineering

118

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The numerical approximation of partial differential equations (PDEs) posed on complicated geometries, which include a large number of small geometrical features or microstructures, represents a challenging computational problem. Indeed, the use of standard mesh generators, employing simplices or tensor product elements, for example, naturally leads to very fine finite element meshes, and hence the computational effort required to numerically approximate the underlying PDE problem may be prohibitively expensive. As an alternative approach, in this article we present a review of composite/agglomerated discontinuous Galerkin finite element methods (DGFEMs) which employ general polytopic elements. Here, the elements are typically constructed as the union of standard element shapes; in this way, the minimal dimension of the underlying composite finite element space is independent of the number of geometrical features. In particular, we provide an overview of hp-version inverse estimates and approximation results for general polytopic elements, which are sharp with respect to element facet degeneration. On the basis of these results, a priori error bounds for the hp-DGFEM approximation of both second-order elliptic and first-order hyperbolic PDEs will be derived. Finally, we present numerical experiments which highlight the practical application of DGFEMs on meshes consisting of general polytopic elements.

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“…For example, compression methods apply a compressive stress or strain by squeezing the substrate between two plates, as shown schematically in Figure . When stress is applied to a porous substrate, the compression will induce fluid flow because of the displacement of the culture medium within the substrate, and the scaffold will experience a combination of inhomogeneous compressive, tensile and shear stresses that are difficult to quantify, again because of the porous (and often random) architecture of the scaffold …”

Section: Introductionmentioning

confidence: 99%

Development of an elastic cell culture substrate for a novel uniaxial tensile strain bioreactor

Moles

Scotchford

Ritchie

2013

J Biomedical Materials Res

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Bioreactors can be used for mechanical conditioning and to investigate the mechanobiology of cells in vitro. In this study a polyurethane (PU), Chronoflex AL, was evaluated for use as a flexible cell culture substrate in a novel bioreactor capable of imparting cyclic uniaxial tensile strain to cells. PU membranes were plasma etched, across a range of operating parameters, in oxygen. Contact angle analysis and X-ray photoelectron spectroscopy showed increases in wettability and surface oxygen were related to both etching power and duration. Atomic force microscopy demonstrated that surface roughness decreased after etching at 20 W but was increased at higher powers. The etching parameters, 20 W 40 s, produced membranes with high surface oxygen content (21%), a contact angle of 66° ± 7° and reduced topographical features. Etching and protein conditioning membranes facilitated attachment, and growth to confluence within 3 days, of MG-63 osteoblasts. After 2 days with uniaxial strain (1%, 30 cycles/min, 1500 cycles/day), cellular alignment was observed perpendicular to the principal strain axis, and found to increase after 24 h. The results indicate that the membrane supports culture and strain transmission to adhered cells. © 2013 Wiley Periodicals, Inc. J Biomed Mater Res Part A: 102A: 2356–2364, 2014.

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A numerical model of heterogeneous surface strains in polymer scaffolds

Cited by 19 publications

References 14 publications

In vitro bone growth responds to local mechanical strain in three-dimensional polymer scaffolds

In vitro bone growth responds to local mechanical strain in three-dimensional polymer scaffolds

Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains

Development of an elastic cell culture substrate for a novel uniaxial tensile strain bioreactor

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