Patient‐specific modelling of bone and bone‐implant systems: the challenges

P Pankaj - International journal for numerical methods in …, 2013 - Wiley Online Library
In the past three decades, finite element (FE) modelling has provided considerable
understanding to the area of musculoskeletal biomechanics. However, most of this …

Response functions in linear viscoelastic constitutive equations and related fractional operators

J Hristov - Mathematical modelling of natural phenomena, 2019 - mmnp-journal.org
This study addresses the stress–strain relaxation functions of solid polymers in the
framework of the linear viscoelasticity with aim to establish the adequate fractional operators …

Time-resolved in situ synchrotron-microCT: 4D deformation of bone and bone analogues using digital volume correlation

MP Fernández, AP Kao, R Bonithon, D Howells… - Acta Biomaterialia, 2021 - Elsevier
Digital volume correlation (DVC) in combination with high-resolution micro-computed
tomography (microCT) imaging and in situ mechanical testing is gaining popularity for …

Linear viscoelastic responses and constitutive equations in terms of fractional operators with non-singular kernels: pragmatic approach, memory kernel …

J Hristov - The European Physical Journal Plus, 2019 - Springer
The article investigates implementation of fractional operators with non-singular memories
(Caputo-Fabrizio) and Atangana-Baleanu (ABC) derivatives in response to functions and …

Stand-alone lumbar cage subsidence: A biomechanical sensitivity study of cage design and placement.

A Calvo-Echenique, J Cegoñino, R Chueca… - Computer methods and …, 2018 - Elsevier
Background and objective Spinal degeneration and instability are commonly treated with
interbody fusion cages either alone or supplemented with posterior instrumentation with the …

Constitutive modelling of inelastic behaviour of cortical bone

AN Natali, EL Carniel, PG Pavan - Medical Engineering & Physics, 2008 - Elsevier
A visco-elasto-plastic constitutive model is formulated for investigating the mechanics of
cortical bone tissue, accounting for an anisotropic configuration and post-elastic and time …

Linear viscoelasticity-bone volume fraction relationships of bovine trabecular bone

K Manda, S Xie, RJ Wallace… - … and modeling in …, 2016 - Springer
Trabecular bone has been previously recognized as time-dependent (viscoelastic) material,
but the relationships of its viscoelastic behaviour with bone volume fraction (BV/TV) have not …

Nonlinear viscoelastic characterization of bovine trabecular bone

K Manda, RJ Wallace, S Xie… - … and modeling in …, 2017 - Springer
The time-independent elastic properties of trabecular bone have been extensively
investigated, and several stiffness–density relations have been proposed. Although it is …

Linear viscoelastic responses: The Prony decomposition naturally leads into the Caputo-Fabrizio fractional operator

JY Hristov - Frontiers in Physics, 2018 - frontiersin.org
The study addresses the physical background and modeling of linear viscoelastic response
functions and their reasonable relationships to the Caputo-Fabrizio fractional operator via …

Impaction grafting of the acetabulum with a mixture of frozen, ground irradiated bone graft and porous synthetic bone substitute (Apapore 60)

I McNamara, S Deshpande… - The Journal of Bone & …, 2010 - boneandjoint.org.uk
The clinical and radiological results of 50 consecutive acetabular reconstructions in 48
patients using impaction grafting have been retrospectively reviewed. A 1: 1 mixture of …