Structural Models for Human Spinal Motion Segments Based on a Poroelastic View of the Intervertebral Disk

Simon, B. R.; Wu, James S.; Carlton, Michael W.; Evans, John H.; Kazarian, Leon E.

doi:10.1115/1.3138565

Cited by 101 publications

(29 citation statements)

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“…2,10,12,20 Collagenous soft tissues including annulus fibrosus have been shown to be compressible, 21,22 and compressibility was assumed to arise primarily from the matrix. A coupled compressible formulation of the Mooney-Rivlin material model 19 was chosen to describe the matrix:…”

Section: Circumferentialmentioning

confidence: 99%

Quantifying the contributions of structure to annulus fibrosus mechanical function using a nonlinear, anisotropic, hyperelastic model

Guerin

Elliott

2006

Journal Orthopaedic Research

118

140

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The annulus fibrosus of the intervertebral disc is comprised of concentric lamella of oriented collagen fibers embedded in a hydrated proteoglycan matrix with smaller amounts of minor collagens, elastin, and small proteoglycans. Its structure and composition enable the disc to withstand complex loads and result in inhomogeneous, anisotropic, and nonlinear mechanical behaviors. The specific contributions of the annulus fibrosus constituent structures to mechanical function remain unclear. Therefore, the objective of this study was to use a structurally motivated, anisotropic, nonlinear strain energy model of annulus fibrosus to determine the relative contributions of its structural components to tissue mechanical behavior. A nonlinear, orthotropic hyperelastic model was developed for the annulus fibrosus. Terms to describe fibers, matrix, and interactions between annulus fibrosus structures (shear and normal to the fiber directions) were explicitly included. The contributions of these structures were analyzed by including or removing terms and determining the effect on the fit to multidimensional experimental data. Correlation between experimental and model-predicted stress, a Bland-Altman analysis of bias and standard deviation of residuals, and the contribution of structural terms to overall tissue stress were calculated. Both shear and normal interaction terms were necessary to accurately model multidimensional behavior. Inclusion of shear interactions more accurately described annulus fibrosus nonlinearity. Fiber stretch and shear interactions dominated contributions to circumferential direction stress, while normal and shear interactions dominated axial stress. The results suggest that interactions between fibers and matrix, perhaps facilitated by crosslinks, elastin, or minor collagens, augment traditional (i.e., fiber-uncrimping) models of nonlinearity. ß

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Section: Circumferentialmentioning

confidence: 99%

Quantifying the contributions of structure to annulus fibrosus mechanical function using a nonlinear, anisotropic, hyperelastic model

Guerin

Elliott

2006

Journal Orthopaedic Research

118

140

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“…It has been known for a long time that the biphasic nature (solid and fluid phase) of the disk components plays a major role in the loading mechanism of the hydrated intervertebral disk. In the late 1980s, there was an increasing interest in the modelling of the disk as a saturated porous media by using the poroelastic approach [26][27][28]. Important models are those worked out by Eberlein et al [29], Vena et al [30], Lavaste et al [31] and Cao et al [32].…”

Section: Introductionmentioning

confidence: 99%

Biomechanical consideration for dorsal-lumbar and lumbar sagittal spine disorders

Bignardi

Ramieri

Costanzo

2009

Modelling in Medicine and Biology VIII

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Lower back pain is one of the most important socioeconomic diseases and one of the most important health care issues today. On average, 50-90% of the adult population suffers from lower back pain and lifetime prevalence of lower back pain is 65-80%. The causes of lower back pain often remain unclear and may vary from patient to patient. It is estimated that 75% of such cases are associated disorders of the rachis mean back (kyphosis) or front (lordosis) pathological deviations, irreducible in various measures, resulting from structural diskligament and vertebral alterations of various etiologies. Three numerical models of the dorsal-lumbar spine, respectively a physiological model, a ipolordotic model and a kyphotic model, have been realized considering bone, disks and ligaments with their specific mechanical characteristics. For the load and boundary conditions chosen, joint facets and intervertebral disk stresses and disk bulge have been compared for the three spine situations. When it has been possible, the obtained results have been validated with data available in literature regarding both experimental and computational studies. In conclusion it can be assumed that dorsal-lumbar and lumbar sagittal spine disorders can determine premature disks and joints alterations. In particular, it seems that dorsal-lumbar kyphosis, more than lumbar ipolordosis, can expose joint facets and disks to non physiological loads. In addition, if the genetic role of disk degeneration is acknowledged, it is probable that the correction, at a precocious age, of sagittal spine imbalance, can prevent or slacken the disk-joint lumbar-sacral degenerative phenomena. The obtained results agree with the clinical experience.

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“…Therefore, the biphasic, poroelastic model for fracture callus and bone has been suggested in the literature (Carter et al 1998, Simon et al 1992, Prendergast et al1997, Spilker et al 1990. Biphasic poroelastic models for soft tissues (Mow et al 1980, Simon et al 1985, Van Driel et al 1998, Prendergast et al 1997, Spilker et al 1990) have been developed and applied to model cartilage (Mow et al 1980) and intervertebral discs (Simon et al 1985). Van Driel et al (1998) and Prendergast et al (1997) modelled tissue adjacent to prostheses using poroelastic material properties to investigate tissue differentiation.…”

Section: Introductionmentioning

confidence: 99%

An Idealised Biphasic Poroelastic Finite Element Model of a Tibial Fracture

Mishra¹

2012

Advanced Methods for Practical Applications in Fluid Mechanics

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Structural Models for Human Spinal Motion Segments Based on a Poroelastic View of the Intervertebral Disk

Cited by 101 publications

References 0 publications

Quantifying the contributions of structure to annulus fibrosus mechanical function using a nonlinear, anisotropic, hyperelastic model

Quantifying the contributions of structure to annulus fibrosus mechanical function using a nonlinear, anisotropic, hyperelastic model

Biomechanical consideration for dorsal-lumbar and lumbar sagittal spine disorders

An Idealised Biphasic Poroelastic Finite Element Model of a Tibial Fracture

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