Intervertebral disc creep behavior assessment through an open source finite element solver.

Degenerative Disc Disease (DDD) is one of the largest health problems faced worldwide, based on lost working time and associated costs. By means of this motivation, this work aims to evaluate a biomimetic Finite Element (FE) model of the Intervertebral Disc (IVD). Recent studies have emphasized the importance of an accurate biomechanical modeling of the IVD, as it is a highly complex multiphasic medium. Poroelastic models of the disc are mostly implemented in commercial finite element packages with limited access to the algorithms. Therefore, a novel poroelastic formulation implemented on a home-developed open source FE solver is briefly addressed throughout this paper. The combination of this formulation with biphasic osmotic swelling behavior is also taken into account. Numerical simulations were devoted to the analysis of the non-degenerated human lumbar IVD time-dependent behavior. The results of the tests performed for creep assessment were inside the scope of the experimental data, with a remarkable improvement of the numerical accuracy when compared with previously published results obtained with ABAQUS(®). In brief, this in-development open-source FE solver was validated with literature experimental data and aims to be a valuable tool to study the IVD biomechanics and DDD mechanisms.

[1]  P J Prendergast,et al.  A Comparison of Finite Element Codes for the Solution of Biphasic Poroelastic Problems , 1996, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[2]  R. D. Wood,et al.  Nonlinear Continuum Mechanics for Finite Element Analysis , 1997 .

[3]  P. Regitnig,et al.  Single lamellar mechanics of the human lumbar anulus fibrosus , 2005, Biomechanics and modeling in mechanobiology.

[4]  M. Adams,et al.  Intervertebral disc degeneration: evidence for two distinct phenotypes , 2012, Journal of anatomy.

[5]  W Ehlers,et al.  An extended biphasic model for charged hydrated tissues with application to the intervertebral disc , 2009, Biomechanics and modeling in mechanobiology.

[6]  Fpt Frank Baaijens,et al.  3D FE implementation of an incompressible quadriphasic mixture model , 2003 .

[7]  D. Elliott,et al.  Effects of Degeneration on the Biphasic Material Properties of Human Nucleus Pulposus in Confined Compression , 2005, Spine.

[8]  Lutz Claes,et al.  Creep associated changes in intervertebral disc bulging obtained with a laser scanning device. , 2007, Clinical biomechanics.

[9]  Arin M Ellingson,et al.  Intervertebral disc viscoelastic parameters and residual mechanics spatially quantified using a hybrid confined/in situ indentation method. , 2012, Journal of biomechanics.

[10]  J M Huyghe,et al.  A composition-based cartilage model for the assessment of compositional changes during cartilage damage and adaptation. , 2006, Osteoarthritis and cartilage.

[11]  Keita Ito,et al.  Fluid flow and convective transport of solutes within the intervertebral disc. , 2004, Journal of biomechanics.

[12]  Gerhard A. Holzapfel,et al.  An Anisotropic Model for Annulus Tissue and Enhanced Finite Element Analyses of Intact Lumbar Disc Bodies , 2001 .

[13]  Nandan L Nerurkar,et al.  Mechanical design criteria for intervertebral disc tissue engineering. , 2010, Journal of biomechanics.

[14]  A van der Voet,et al.  A comparison of finite element codes for the solution of biphasic poroelastic problems. , 1997, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[15]  Jmrj Jacques Huyghe Non-linear finite element models of the beating left ventricle and the intramyocardial coronary circulation , 1986 .

[16]  Lutz Claes,et al.  The risk of disc prolapses with complex loading in different degrees of disc degeneration - a finite element analysis. , 2007, Clinical biomechanics.

[17]  JD Jan Janssen,et al.  A validation of the quadriphasic mixture theory for intervertebral disc tissue , 1997 .

[18]  D. Lacroix,et al.  Comparison of four methods to simulate swelling in poroelastic finite element models of intervertebral discs. , 2011, Journal of the mechanical behavior of biomedical materials.

[19]  V C Mow,et al.  The viscoelastic behavior of the non-degenerate human lumbar nucleus pulposus in shear. , 1997, Journal of biomechanics.

[20]  N Dhillon,et al.  The internal mechanics of the intervertebral disc under cyclic loading. , 2002, Journal of biomechanics.

[21]  L. Nasdala,et al.  On damage modelling for elastic and viscoelastic materials at large strain , 2001 .

[22]  J. M. Huyghe,et al.  An ionised/non-ionised dual porosity model of intervertebral disc tissue , 2003, Biomechanics and modeling in mechanobiology.

[23]  P. Prithvi Raj,et al.  Intervertebral Disc: Anatomy‐Physiology‐Pathophysiology‐Treatment , 2008, Pain practice : the official journal of World Institute of Pain.

[24]  A Shirazi-Adl,et al.  Poroelastic creep response analysis of a lumbar motion segment in compression. , 1996, Journal of biomechanics.

[25]  Aboulfazl Shirazi-Adl,et al.  Remedy for fictive negative pressures in biphasic finite element models of the intervertebral disc during unloading , 2011, Computer methods in biomechanics and biomedical engineering.

[26]  Dawn M Elliott,et al.  Axial creep loading and unloaded recovery of the human intervertebral disc and the effect of degeneration. , 2011, Journal of the mechanical behavior of biomedical materials.

[27]  Rik Huiskes,et al.  Erratum to “Stresses in the local collagen network of articular cartilage: a poroviscoelastic fibril-reinforced finite element study” [Journal of Biomechanics 37 (2004) 357–366] and “A fibril-reinforced poroviscoelastic swelling model for articular cartilage” [Journal of Biomechanics 38 (2005) 1195– , 2005 .

[28]  L. Claes,et al.  New in vivo measurements of pressures in the intervertebral disc in daily life. , 1999, Spine.

[29]  W Wouter Wilson,et al.  Validation of an Open Source Finite Element Biphasic Poroelastic Model. Application to the Intervertebral Disc Biomechanics. , 2013 .

[30]  Keita Ito,et al.  A biochemical/biophysical 3D FE intervertebral disc model , 2010, Biomechanics and modeling in mechanobiology.

[31]  K. Bathe,et al.  A finite element formulation for nonlinear incompressible elastic and inelastic analysis , 1987 .

[32]  Delphine Périé,et al.  Confined compression experiments on bovine nucleus pulposus and annulus fibrosus: sensitivity of the experiment in the determination of compressive modulus and hydraulic permeability. , 2005, Journal of biomechanics.