Influence of bone microstructure distribution on developed mechanical energy for bone remodeling using a statistical reconstruction method
From MaRDI portal
Publication:5132389
DOI10.1177/1081286519828418OpenAlexW2912973907MaRDI QIDQ5132389
Martine Pithioux, Azadeh Sheidaei, Daniel George, Fayyaz Nosouhi, Ali Hasanabadi, Morteza Kazempour, Majid Baniassadi, Yves Rémond
Publication date: 12 November 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286519828418
Related Items (7)
Prediction of bone microstructures degradation during osteoporosis with fuzzy cellular automata algorithm ⋮ Statistical prediction of bone microstructure degradation to study patient dependency in osteoporosis ⋮ In-depth gaze at the astonishing mechanical behavior of bone: A review for designing bio-inspired hierarchical metamaterials ⋮ The mechanical role of the periodontal ligament for developing mathematical models in orthodontics ⋮ Study of the stress–strain state of spongy bone around an implant under occlusal load ⋮ A new comprehensive approach for bone remodeling under medium and high mechanical load based on cellular activity ⋮ A mathematical model for bone cell population dynamics of fracture healing considering the effect of energy dissipation
Cites Work
- A novel coupled system of non-local integro-differential equations modelling Young's modulus evolution, nutrients' supply and consumption during bone fracture healing
- A novel mathematical model for growth of capillaries and nutrient supply with application to prediction of osteophyte onset
- On the constitutive equations of viscoelastic micropolar plates and shells of differential type
- Identification of higher-order elastic constants for grain assemblies based upon granular micromechanics
- Gedanken experiments for the determination of two-dimensional linear second gradient elasticity coefficients
- Bone remodeling. II: Small strain adaptive elasticity
- Three-scale multiphysics modeling of transport phenomena within cortical bone
- Forms of the dissipation function for a class of viscoplastic models
- Modelling of bone adaptation based on an optimal response hypothesis
- Reaction-diffusion finite element model of lateral line primordium migration to explore cell leadership
- A multiphysics stimulus for continuum mechanics bone remodeling
- Heterogeneous directions of orthotropy in three-dimensional structures: finite element description based on diffusion equations
- A general method for the determination of the local orthotropic directions of heterogeneous materials: application to bone structures using \({\mu}\mathrm{CT}\) images
- Material symmetry group and constitutive equations of micropolar anisotropic elastic solids
- A mixture model with evolving mass densities for describing synthesis and resorption phenomena in bones reconstructed with bio-resorbable materials
- A 2-D continuum model of a mixture of bone tissue and bio-resorbable material for simulating mass density redistribution under load slowly variable in time
- Multiphysical modelling of fluid transport through osteo-articular media
- Mechanically-driven bone remodeling simulation: Application to LIPUS treated rat calvarial defects
- Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives
- At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola
- Random heterogeneous materials. Microstructure and macroscopic properties
This page was built for publication: Influence of bone microstructure distribution on developed mechanical energy for bone remodeling using a statistical reconstruction method