Fractional Calculus as a New Perspective in the Viscoelastic Behaviour of the Intervertebral Disc

Sciortino, Vincenza; Cerniglia, Donatella; Pasta, Salvatore; Ingrassia, Tommaso

doi:10.1007/978-3-031-07254-3_92

Cited by 3 publications

(2 citation statements)

References 17 publications

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“…The disc should be correctly schematized as the annulus ground substance, annular collagen fibers, and nucleus pulposus in order to properly simulate its biomechanics. Mooney-Rivlin hyperelastic modeling works quite well for the nucleus pulposus and annular ground substance, though future investigations might consider using different constitutive behaviours to considering the viscoelastic creep characteristics of the disc, as suggested by Sciortino [65], as well as its poroelastic behavior. For future studies, the intervertebral disc could be modelled through a poroelastic model, considering that its precisely biphasic nature is guaranteed by the presence of the "liquid" part of the nucleus pulposus and the "solid" part of the fibrous ring.…”

Section: Discussionmentioning

confidence: 99%

On the Finite Element Modeling of the Lumbar Spine: A Schematic Review

et al. 2023

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Finite element modelling of the lumbar spine is a challenging problem. Lower back pain is among the most common pathologies in the global populations, owing to which the patient may need to undergo surgery. The latter may differ in nature and complexity because of spinal disease and patient contraindications (i.e., aging). Today, the understanding of spinal column biomechanics may lead to better comprehension of the disease progression as well as to the development of innovative therapeutic strategies. Better insight into the spine’s biomechanics would certainly guarantee an evolution of current device-based treatments. In this setting, the computational approach appears to be a remarkable tool for simulating physiological and pathological spinal conditions, as well as for various aspects of surgery. Patient-specific computational simulations are constantly evolving, and require a number of validation and verification challenges to be overcome before they can achieve true and accurate results. The aim of the present schematic review is to provide an overview of the evolution and recent advances involved in computational finite element modelling (FEM) of spinal biomechanics and of the fundamental knowledge necessary to develop the best modeling approach in terms of trustworthiness and reliability.

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Section: Discussionmentioning

confidence: 99%

On the Finite Element Modeling of the Lumbar Spine: A Schematic Review

et al. 2023

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“…The nonlinear superposition method has also been used to describe the nonlinear viscoelasticity of soft tissues such as ligaments, smooth muscle, connective and cartilaginous tissue [16,22]. Sciortino et al [23] used a new method based on fractional calculus to fully model the viscoelastic behavior of the IVD. Recently, Jafari et al [24] employed a nonlinear viscoelastic model for the IVD to capture its time-and displacement-dependent behavior and link the tissue model with a haptic simulation algorithm.…”

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confidence: 99%

Hyper- and viscoelastic modeling of the ovine intervertebral disc tissue

2023

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Intervertebral disc creep behaviour through viscoelastic models: an in-vitro study

Sciortino,

Jansen,

Cerniglia

et al. 2024

Discov Appl Sci

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The intervertebral disc (IVD) is a complex biological structure that ensures the spine strength, stability, mobility, and flexibility. This is achieved due to its biphasic nature which is attained by its solid phase (annulus fibrosus) and fluid phases (nucleus pulposus). Hence, the IVD biomechanical response to long-term loads, which is critical as it affects hydration, and nutrients-water transport influencing disc height reduction, has been further explored and mathematically modelled in this paper. An in-vitro study was performed on seven human lumbar spine specimens (L4-5), to assess if the classical rheological models and Nutting's power law can model in a simple way the intermediate characteristics between solid and fluid of the IVD. Creep tests were conducted by applying a static compression load of 500 N for 15 min. A correlation analysis was done (Pearson, p < 0.05) between the model parameters and the maximum value of Disc Height Reduction, followed by a linear regression analysis. In summary, the long-term IVD mechanical behavior was modeled in a simple way, emphasizing that yet there is no mathematical certainty about this mechanical behavior. Hence, a future aim might be to develop intervertebral disc prostheses capable of replicating only the disc mechanical response, without necessarily considering the microscopic-level biological drivers. Therefore, a future goal is to fully understand and model the disc's mechanical response toward the design of new disc prostheses that would consider only the macroscopic aspect, without considering the biological aspects.

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Fractional Calculus as a New Perspective in the Viscoelastic Behaviour of the Intervertebral Disc

Cited by 3 publications

References 17 publications

On the Finite Element Modeling of the Lumbar Spine: A Schematic Review

On the Finite Element Modeling of the Lumbar Spine: A Schematic Review

Hyper- and viscoelastic modeling of the ovine intervertebral disc tissue

Intervertebral disc creep behaviour through viscoelastic models: an in-vitro study

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