Multiphysical modelling of fluid transport through osteo-articular media

Abstract

In this study, a multiphysical description of fluid transport through osteo-articular porous media is presented. Adapted from the model of Moyne and Murad, which is intended to describe clayey materials behaviour, this multiscale modelling allows for the derivation of the macroscopic response of the tissue from microscopical information. First the model is described. At the pore scale, electrohydrodynamics equations governing the electrolyte movement are coupled with local electrostatics (Gauss-Poisson equation), and ionic transport equations. Using a change of variables and an asymptotic expansion method, the macroscopic description is carried out. Results of this model are used to show the importance of couplings effects on the mechanotransduction of compact bone remodelling.

Volumetric Cortical Bone Porosity Assessment with MR Imaging: Validation and Clinical Feasibility

“…Despite these advances, cortical bone porosity assessment with high-resolution peripheral quantitative CT imaging has several challenges, including underestimation of porosity because only relatively large pores that are present mostly near the endosteum can be resolved by direct imaging because of limited spatial resolution of approximately 130 mm (14). We note that the cortical bone pore network consists of Haversian and Volkmann canals (~40 to 100 mm), osteocyte lacunae (~10 to 30 mm), and canaliculi (~0.1 mm) (20)(21)(22).…”

A Multiscale Theoretical Investigation of Electric Measurements in Living Bone

“…Analogously to the double-layer potential ϕ which was already known to be purely microscopic in cortical tissue as shown by (87) (Lemaire et al 2006(Lemaire et al , 2008b(Lemaire et al , 2010b, the piezoelectric potential φ s does not filter through the upscaling process, as indicated by (86). In fact, due to the scaling laws inherent to cortical bone, the piezoelectric effect on the mechanical response vanishes through the homogenization process and the only electromechanical phenomenon that may occur at the macroscale corresponds to the swelling effects quantified by the electrochemical tensor τ * , see (120).…”

“…However, the understanding of the transduction of physical signals is still in debate. If classical hypothesis stipulates that fluid shear effects (Burger and Klein-Nulend 1999;Westbroek et al 2000), pericellular matrix deformation (You et al 2001;Han et al 2004) or microcracks (Martin 2002;Nguyen et al 2009Nguyen et al , 2011 participate in the remodelling process, more recent studies suggest that electro-osmosis (Lemaire et al 2008b(Lemaire et al , 2010bAhn and Grodzinsky 2009) or piezoelectricity (Ahn and Grodzinsky 2009) could also play a role.…”

“…Indeed, combining a description of electrokinetics in bone tissue (Lemaire et al 2006(Lemaire et al , 2008b(Lemaire et al , 2010b with the description of piezo-biomaterials (Miara et al 2005), we intend to derive a fully coupled electro-hydro-mechanical model of bone tissue. Since the anatomical origin of bone electricity is located at the microscopic scale, our description combines the collagen fibers deformation effects and the advection of ionic double layers through the canalicular network.…”

Additive Manufacturing Technology Applications Targeting Practical Surgery

“…Other contributing factors that could facilitate the reduction in bone density are the ionic activity of the uncoated metal surface and obvious restriction in the nutrient circulation in the interface zone. Better understanding of the influence of these factors can be achieved, for example, through thorough proper modelling of the nutrient transport process and bone remodelling [74,75] . Interesting discussion is going over the issue, which is more advantageous; having tightly, fit implants without bone cement, or loosely fit using some bone cement [76] .…”