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Sun Z, Mi C. Biomechanics of annulus fibrosus: Elastic fiber simplification and degenerative impact on damage initiation and propagation. J Mech Behav Biomed Mater 2024; 157:106628. [PMID: 38878651 DOI: 10.1016/j.jmbbm.2024.106628] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/08/2024] [Revised: 05/19/2024] [Accepted: 06/08/2024] [Indexed: 07/30/2024]
Abstract
This study addresses three primary objectives related to lumbar intervertebral disc (IVD) biomechanics under ramping quasi-static loading conditions. First, we explore the conditions justifying the simplification of axisymmetric elastic fiber families into single fiber bundles through discretized strain energy functions. Simulations reveal that a concentration factor exceeding 10 allows for a consistent deviation below 10% between simplified and non-simplified responses. Second, we investigate the impact of elastic fibers on the physiological stiffness in IVDs, revealing minimal influence on biological motions but significant effects on degeneration. Lastly, we examine the initiation and progression of annulus fibrosus (AF) damage. Our findings confirm the validity of simplifying elastic fiber families and underscore the necessity of considering elastic fiber damage in biomechanical studies of AF tissues. Elastic fibers contribute to increased biaxial stretch stiffness, and their damage significantly affects the loading capacity of the inner AF. Additionally, degeneration significantly alters the susceptibility to damage in the AF, with specific regions exhibiting higher vulnerability. Damage tends to extend circumferentially and radially, emphasizing the regional variations in collagen and elastic fiber properties. This study offers useful insights for refining biomechanical models, paving the way for a more comprehensive understanding of IVD responses and potential clinical implications.
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Affiliation(s)
- Zhongwei Sun
- Jiangsu Key Laboratory of Mechanical Analysis for Infrastructure and Advanced Equipment, School of Civil Engineering, Southeast University, Nanjing, Jiangsu 210096, China
| | - Changwen Mi
- Jiangsu Key Laboratory of Mechanical Analysis for Infrastructure and Advanced Equipment, School of Civil Engineering, Southeast University, Nanjing, Jiangsu 210096, China.
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2
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Sun Z, Sun Y, Mi C. Comprehensive modeling of annulus fibrosus: From biphasic refined characterization to damage accumulation under viscous loading. Acta Biomater 2024; 174:228-244. [PMID: 38070844 DOI: 10.1016/j.actbio.2023.12.007] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/06/2023] [Revised: 11/26/2023] [Accepted: 12/05/2023] [Indexed: 12/17/2023]
Abstract
The annulus fibrosus (AF), a permeable, hydrated, and fiber-reinforced soft tissue, exhibits complex responses influenced by fluid pressure, osmotic pressure, and structural mechanics. Existing models struggle to comprehensively represent these intricate interactions and the heterogeneous solid responses within the AF. Additionally, the mechanisms driving differential damage accumulation between non-degenerative and degenerative intervertebral discs remain poorly understood. In this study, we introduce a biphasic-swelling damage model for the AF. We conceptually develop and rigorously validate this model through tissue-level tests employing various loading modes, consistently aligning model predictions with experimental data. Leveraging parametric geometric algorithms and custom Python scripts, we construct models simulating both non-degenerative and degenerative discs. Following calibration, we subject these models to viscous loading protocols. Our findings reveal the posterior AF's susceptibility to damage, contingent upon loading rate and water content. We elucidate the underlying mechanisms by examining the temporal evolution of fluid pressure, osmotic pressure, and the regionally dependent fiber network. This research presents a highly accurate model of the AF, providing valuable insights into disc damage. Future research endeavors should expand this model to incorporate ionic transport and diffusion, enabling a more profound exploration of intervertebral disc mechanobiology. This comprehensive model contributes to a better understanding of AF behavior and may inform therapeutic strategies for disc-related pathologies. STATEMENT OF SIGNIFICANCE: This research presents a comprehensive model of the annulus fibrosus (AF), a crucial component of the intervertebral disc that provides structural support and resists deformation. The study introduces a biphasic-swelling damage model for the AF and validates it through tissue-level tests. The model accounts for fluid pressure, osmotic pressure, and matrix mechanics, providing a more accurate representation of the AF's behavior. The study also investigates the differential damage accumulation between non-degenerative and degenerative discs, shedding light on the mechanisms driving disc degeneration. The findings have significant implications for medical treatments and interventions, as they highlight the posterior AF's susceptibility to damage. This research is of great interest to readers interested in biomechanics, tissue engineering, and medical treatments for disc degeneration.
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Affiliation(s)
- Zhongwei Sun
- Jiangsu Key Laboratory of Engineering Mechanics, School of Civil Engineering, Southeast University, Nanjing, Jiangsu 210096, China
| | - Yueli Sun
- Longhua Hospital, Shanghai University of Traditional Chinese Medicine, Shanghai, Shanghai 200032, China
| | - Changwen Mi
- Jiangsu Key Laboratory of Engineering Mechanics, School of Civil Engineering, Southeast University, Nanjing, Jiangsu 210096, China.
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Zhou M, Archibeck ES, Feteih Y, Abubakr Y, O'Connell GD. Non-enzymatic glycation increases the failure risk of annulus fibrosus by predisposing the extrafibrillar matrix to greater stresses. Acta Biomater 2023; 168:223-234. [PMID: 37433360 DOI: 10.1016/j.actbio.2023.07.003] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/15/2023] [Revised: 06/13/2023] [Accepted: 07/06/2023] [Indexed: 07/13/2023]
Abstract
Growing clinical evidence suggests a correlation between diabetes and more frequent and severe intervertebral disc failure, partially attributed to accelerated advanced glycation end-products (AGE) accumulation in the annulus fibrosus (AF) through non-enzymatic glycation. However, in vitro glycation (i.e., crosslinking) reportedly improved AF uniaxial tensile mechanical properties, contradicting clinical observations. Thus, this study used a combined experimental-computational approach to evaluate the effect of AGEs on anisotropic AF tensile mechanics, applying finite element models (FEMs) to complement experimental testing and examine difficult-to-measure subtissue-level mechanics. Methylglyoxal-based treatments were applied to induce three physiologically relevant AGE levels in vitro. Models incorporated crosslinks by adapting our previously validated structure-based FEM framework. Experimental results showed that a threefold increase in AGE content resulted in a ∼55% increase in AF circumferential-radial tensile modulus and failure stress and a 40% increase in radial failure stress. Failure strain was unaffected by non-enzymatic glycation. Adapted FEMs accurately predicted experimental AF mechanics with glycation. Model predictions showed that glycation increased stresses in the extrafibrillar matrix under physiologic deformations, which may increase tissue mechanical failure or trigger catabolic remodeling, providing insight into the relationship between AGE accumulation and increased tissue failure. Our findings also added to the existing literature regarding crosslinking structures, indicating that AGEs had a greater effect along the fiber direction, while interlamellar radial crosslinks were improbable in the AF. In summary, the combined approach presented a powerful tool for examining multiscale structure-function relationships with disease progression in fiber-reinforced soft tissues, which is essential for developing effective therapeutic measures. STATEMENT OF SIGNIFICANCE: Increasing clinical evidence correlates diabetes with premature intervertebral disc failure, likely due to advanced glycation end-products (AGE) accumulation in the annulus fibrosus (AF). However, in vitro glycation reportedly increases AF tensile stiffness and toughness, contradicting clinical observations. Using a combined experimental-computational approach, our work shows that increases in AF bulk tensile mechanical properties with glycation are achieved at the risk of exposing the extrafibrillar matrix to increased stresses under physiologic deformations, which may increase tissue mechanical failure or trigger catabolic remodeling. Computational results indicate that crosslinks along the fiber direction account for 90% of the increased tissue stiffness with glycation, adding to the existing literature. These findings provide insight into the multiscale structure-function relationship between AGE accumulation and tissue failure.
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Affiliation(s)
- Minhao Zhou
- Department of Mechanical Engineering, University of California, Berkeley, 2162 Etcheverry Hall, #1740, Berkeley, CA 94720-1740, USA
| | - Erin S Archibeck
- Department of Mechanical Engineering, University of California, Berkeley, 2162 Etcheverry Hall, #1740, Berkeley, CA 94720-1740, USA
| | - Yarah Feteih
- Department of Mechanical Engineering, University of California, Berkeley, 2162 Etcheverry Hall, #1740, Berkeley, CA 94720-1740, USA
| | - Yousuf Abubakr
- Department of Mechanical Engineering, University of California, Berkeley, 2162 Etcheverry Hall, #1740, Berkeley, CA 94720-1740, USA
| | - Grace D O'Connell
- Department of Mechanical Engineering, University of California, Berkeley, 5122 Etcheverry Hall, #1740, Berkeley, CA 94720-1740, USA; Department of Orthopaedic Surgery, University of California, San Francisco, San Francisco, USA.
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Sun Z, Mi C. On the identification of the ultra-structural organization of elastic fibers and their effects on the integrity of annulus fibrosus. J Biomech 2023; 157:111728. [PMID: 37499432 DOI: 10.1016/j.jbiomech.2023.111728] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/11/2023] [Revised: 07/10/2023] [Accepted: 07/14/2023] [Indexed: 07/29/2023]
Abstract
Due to the complicated structure of the elastic fiber network in annulus fibrosus, existing in-silico studies either simplified or just overlooked its distribution pattern. Nonetheless, experimental and simulation results have proven that elastic fibers are of great importance to maintaining the structural integrity of annulus fibrosus and therefore to ensuring the load-bearing ability of intervertebral discs. Such needs call for a fine model. This work aims at developing a biphasic annulus fibrosus model by incorporating the accurate distribution pattern of collagen and elastic fibers. Both the structural parameters and intrinsic mechanical parameters were successfully identified using single lamella and inter-lamella microscopy anatomy and micromechanical testing data. The proposed model was then used to implement finite element simulations on various anterior and posterolateral multi-lamellae annulus fibrosus specimens. In general, simulation results agree well with available experimental and simulation data. On this basis, the effects of elastic fibers on the integrity of annulus fibrosus were further investigated. It was found that elastic fibers significantly influence the free swelling, radial stretching and circumferential shear performances of annulus fibrosus. Nonetheless, no significant effects were found for the circumferential stretching capability. The proposed biphasic model considers for the first time the distribution characteristics of elastic fibers at two scales, including both the principal orientations of all fiber families and the detailed distribution pattern within each family. Better understandings on the functions of collagen and elastic fibers can therefore be realized. To further enhance its prediction capability, the current model can be extended in the future by taking the fiber-matrix interaction as well as progressive damages into consideration.
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Affiliation(s)
- Zhongwei Sun
- Jiangsu Key Laboratory of Engineering Mechanics, School of Civil Engineering, Southeast University, Nanjing, Jiangsu 210096, China
| | - Changwen Mi
- Jiangsu Key Laboratory of Engineering Mechanics, School of Civil Engineering, Southeast University, Nanjing, Jiangsu 210096, China.
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Wöltje M, Künzelmann L, Belgücan B, Croft AS, Voumard B, Bracher S, Zysset P, Gantenbein B, Cherif C, Aibibu D. Textile Design of an Intervertebral Disc Replacement Device from Silk Yarn. Biomimetics (Basel) 2023; 8:biomimetics8020152. [PMID: 37092404 PMCID: PMC10123607 DOI: 10.3390/biomimetics8020152] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/16/2023] [Revised: 04/06/2023] [Accepted: 04/09/2023] [Indexed: 04/25/2023] Open
Abstract
Low back pain is often due to degeneration of the intervertebral discs (IVD). It is one of the most common age- and work-related problems in today's society. Current treatments are not able to efficiently restore the full function of the IVD. Therefore, the aim of the present work was to reconstruct the two parts of the intervertebral disc-the annulus fibrosus (AF) and the nucleus pulposus (NP)-in such a way that the natural structural features were mimicked by a textile design. Silk was selected as the biomaterial for realization of a textile IVD because of its cytocompatibility, biodegradability, high strength, stiffness, and toughness, both in tension and compression. Therefore, an embroidered structure made of silk yarn was developed that reproduces the alternating fiber structure of +30° and -30° fiber orientation found in the AF and mimics its lamellar structure. The developed embroidered ribbons showed a tensile strength that corresponded to that of the natural AF. Fiber additive manufacturing with 1 mm silk staple fibers was used to replicate the fiber network of the NP and generate an open porous textile 3D structure that may serve as a reinforcement structure for the gel-like NP.
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Affiliation(s)
- Michael Wöltje
- Institute of Textile Machinery and High-Performance Material Technology, Technische Universität Dresden, 01602 Dresden, Germany
| | - Liesa Künzelmann
- Institute of Textile Machinery and High-Performance Material Technology, Technische Universität Dresden, 01602 Dresden, Germany
| | - Basak Belgücan
- Institute of Textile Machinery and High-Performance Material Technology, Technische Universität Dresden, 01602 Dresden, Germany
| | - Andreas S Croft
- Tissue Engineering for Orthopaedic and Mechanobiology, Bone and Joint Program, Department for BioMedical Research (DBMR), Medical Faculty, University of Bern, 3008 Bern, Switzerland
| | - Benjamin Voumard
- ARTORG Center for Biomedical Engineering Research, University of Bern, 3008 Bern, Switzerland
| | - Stefan Bracher
- ARTORG Center for Biomedical Engineering Research, University of Bern, 3008 Bern, Switzerland
| | - Philippe Zysset
- ARTORG Center for Biomedical Engineering Research, University of Bern, 3008 Bern, Switzerland
| | - Benjamin Gantenbein
- Tissue Engineering for Orthopaedic and Mechanobiology, Bone and Joint Program, Department for BioMedical Research (DBMR), Medical Faculty, University of Bern, 3008 Bern, Switzerland
- Department of Orthopedic Surgery and Traumatology, Inselspital, University of Bern, 3010 Bern, Switzerland
| | - Chokri Cherif
- Institute of Textile Machinery and High-Performance Material Technology, Technische Universität Dresden, 01602 Dresden, Germany
| | - Dilbar Aibibu
- Institute of Textile Machinery and High-Performance Material Technology, Technische Universität Dresden, 01602 Dresden, Germany
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Trębacz H, Barzycka A. Mechanical Properties and Functions of Elastin: An Overview. Biomolecules 2023; 13:biom13030574. [PMID: 36979509 PMCID: PMC10046833 DOI: 10.3390/biom13030574] [Citation(s) in RCA: 8] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/14/2023] [Revised: 03/08/2023] [Accepted: 03/20/2023] [Indexed: 03/30/2023] Open
Abstract
Human tissues must be elastic, much like other materials that work under continuous loads without losing functionality. The elasticity of tissues is provided by elastin, a unique protein of the extracellular matrix (ECM) of mammals. Its function is to endow soft tissues with low stiffness, high and fully reversible extensibility, and efficient elastic-energy storage. Depending on the mechanical functions, the amount and distribution of elastin-rich elastic fibers vary between and within tissues and organs. The article presents a concise overview of the mechanical properties of elastin and its role in the elasticity of soft tissues. Both the occurrence of elastin and the relationship between its spatial arrangement and mechanical functions in a given tissue or organ are overviewed. As elastin in tissues occurs only in the form of elastic fibers, the current state of knowledge about their mechanical characteristics, as well as certain aspects of degradation of these fibers and their mechanical performance, is presented. The overview also outlines the latest understanding of the molecular basis of unique physical characteristics of elastin and, in particular, the origin of the driving force of elastic recoil after stretching.
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Affiliation(s)
- Hanna Trębacz
- Department of Biophysics, Medical University of Lublin, Al. Racławickie 1, 20-059 Lublin, Poland
| | - Angelika Barzycka
- Department of Biophysics, Medical University of Lublin, Al. Racławickie 1, 20-059 Lublin, Poland
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Staszkiewicz R, Gładysz D, Gralewski M, Bryś K, Garczarek M, Gadzieliński M, Marcol W, Sobański D, Grabarek BO. Usefulness of Detecting Brain-Derived Neurotrophic Factor in Intervertebral Disc Degeneration of the Lumbosacral Spine. Med Sci Monit 2023; 29:e938663. [PMID: 36642939 PMCID: PMC9854178 DOI: 10.12659/msm.938663] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022] Open
Abstract
BACKGROUND In determining the etiology of pain of discogenic origin, attention is paid to the role of neurotrophic factors, such as brain-derived neurotrophic factor (BDNF). Considering the potential role of BDNF in the etiology of pain during intervertebral disc degeneration (IVDD), this study aimed to assess changes in the number of BDNF-positive nerve fibers and levels of BDNF in IVDD of the lumbosacral spine in comparison to intervertebral discs (IVDs) of the control group (cadavers). MATERIAL AND METHODS The study group comprised 113 patients with IVDD of the lumbosacral spine. The control group consisted of 81 people (cadavers). We performed hematoxylin-eosin staining to assess IVD structures (degeneration), immunohistochemistry to determine the number of BDNF-positive nerve fibers, and an enzyme-linked immunosorbent assay and western blot to quantify BDNF levels in IVDs. RESULTS Levels of BDNF in the study group were significantly higher than in the control group (17.91±19.58 pg/mg; P<0.05). Furthermore, BDNF levels were significantly higher in the annulus fibrosus compared to the nucleus pulposus of the intervertebral disc (5.50±6.40 pg/mg; P<0.05). Neither the number of BDNF-positive nerves (P=0.359) nor BDNF concentration (P=0.706) were significantly correlated with the degree of perceived pain. The number of BDNF-positive fibers per 1 mm2 was not found to differ significantly according to the radiological degree of degeneration of the lumbosacral spine based on the Pfirrmann scale (P=0.735). CONCLUSIONS The level of BDNF expression may be indicative of IVD degeneration, although it does not predict the degree of this degeneration.
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Affiliation(s)
- Rafał Staszkiewicz
- Department of Neurosurgery, 5 Military Clinical Hospital with the SP ZOZ Polyclinic in Cracow, Cracow, Poland,Department of Histology, Cytophysiology, and Embryology, Faculty of Medicine in Zabrze, Academy of Silesia, Zabrze, Poland
| | - Dorian Gładysz
- Department of Neurosurgery, 5 Military Clinical Hospital with the SP ZOZ Polyclinic in Cracow, Cracow, Poland,Department of Histology, Cytophysiology, and Embryology, Faculty of Medicine in Zabrze, Academy of Silesia, Zabrze, Poland
| | - Marcin Gralewski
- Department of Neurosurgery, 5 Military Clinical Hospital with the SP ZOZ Polyclinic in Cracow, Cracow, Poland,Department of Histology, Cytophysiology, and Embryology, Faculty of Medicine in Zabrze, Academy of Silesia, Zabrze, Poland
| | - Kamil Bryś
- Department of Histology, Cytophysiology, and Embryology, Faculty of Medicine in Zabrze, Academy of Silesia, Zabrze, Poland
| | - Michał Garczarek
- Department of Neurosurgery, 5 Military Clinical Hospital with the SP ZOZ Polyclinic in Cracow, Cracow, Poland
| | - Marcin Gadzieliński
- Department of Neurosurgery, 5 Military Clinical Hospital with the SP ZOZ Polyclinic in Cracow, Cracow, Poland
| | - Wiesław Marcol
- Department of Physiology, School of Medicine in Katowice, Medical University of Silesia, Katowice, Poland,Department of Neurosurgery, Provincial Specialist Hospital No. 2 in Jastrzębie-Zdrój, Jastrzębie-Zdrój, Poland
| | - Dawid Sobański
- Department of Histology, Cytophysiology, and Embryology, Faculty of Medicine in Zabrze, Academy of Silesia, Zabrze, Poland,Department of Neurosurgery, Szpital św. Rafała, Cracow, Poland
| | - Beniamin Oskar Grabarek
- Department of Neurosurgery, 5 Military Clinical Hospital with the SP ZOZ Polyclinic in Cracow, Cracow, Poland,Department of Histology, Cytophysiology, and Embryology, Faculty of Medicine in Zabrze, Academy of Silesia, Zabrze, Poland
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