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Iseki T, Rothrauff BB, Kihara S, Overholt KJ, Taha T, Lin H, Alexander PG, Tuan RS. Enhanced osteochondral repair by leukocyte-depleted platelet-rich plasma in combination with adipose-derived mesenchymal stromal cells encapsulated in a three-dimensional photocrosslinked injectable hydrogel in a rabbit model. Stem Cell Res Ther 2024; 15:159. [PMID: 38831361 PMCID: PMC11149275 DOI: 10.1186/s13287-024-03750-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/11/2023] [Accepted: 05/02/2024] [Indexed: 06/05/2024] Open
Abstract
INTRODUCTION Intra-articular injection of adipose-derived mesenchymal stromal cells (ASCs) and/or platelet-rich plasma (PRP) have been reported to independently and synergistically improve healing of osteochondral lesions in animal models. However, their independent and combined effects when localized to an osteochondral lesion by encapsulation within a photocrosslinkable methacrylated gelatin hydrogel (GelMA) have not been explored. Herein we investigated a unique combination of allogeneic ASCs and PRP embedded in GelMA as a single-stage treatment for osteochondral regeneration in a rabbit model. METHODS Thirty mature rabbits were divided into six experimental groups: (1) Sham; (2) Defect; (3) GelMA; (4) GelMA + ASCs; (5) GelMA + PRP; and (6) GelMA + ASCs + PRP.At 12 weeks following surgical repair, osteochondral regeneration was assessed on the basis of gross appearance, biomechanical properties, histological and immunohistochemical characteristics, and subchondral bone volume. RESULTS In terms of mechanical property reflecting the ability of neotissue to bear stress, PRP only group were significantly lower than the Sham group (p = 0.0098). On the other hand, ASCs only and ASCs combined with PRP groups did not exhibit significantly difference, which suggesting that incorporation of ASCs assists in restoring the ability of the neotissue to bear stresses similarly to native tissue (p = 0.346, p = 0.40, respectively). Safranin O in ASCs combined with PRP group was significantly higher than the Defect and GelMA only groups (p = 0.0009, p = 0.0017, respectively). Additionally, ASCs only and ASCs combined with PRP groups presented especially strong staining for collagen type II. Surprisingly, PRP only and PRP + ASCs groups tended to exhibit higher collagen type I and collagen type X staining compared to ASCs only group, suggesting a potential PRP-mediated hypertrophic effect. CONCLUSION Regeneration of a focal osteochondral defect in a rabbit model was improved by a single-stage treatment of a photocrosslinked hydrogel containing allogenic ASCs and autologous PRP, with the combination of ASCs and PRP producing superior benefit than either alone. No experimental construct fully restored all properties of the native, healthy osteochondral unit, which may require longer follow-up or further modification of PRP and/or ASCs characteristics.
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Affiliation(s)
- Tomoya Iseki
- Center for Cellular and Molecular Engineering, Department of Orthopaedic Surgery, University of Pittsburgh School of Medicine, Pittsburgh, PA, 15219, USA
- Department of Orthopaedic Surgery, Hyogo Medical University, 1-1 Mukogawa-cho, 663-8501, Nishinomiya City, Hyogo, Japan
| | - Benjamin B Rothrauff
- Center for Cellular and Molecular Engineering, Department of Orthopaedic Surgery, University of Pittsburgh School of Medicine, Pittsburgh, PA, 15219, USA
| | - Shinsuke Kihara
- Center for Cellular and Molecular Engineering, Department of Orthopaedic Surgery, University of Pittsburgh School of Medicine, Pittsburgh, PA, 15219, USA
| | - Kalon J Overholt
- Center for Cellular and Molecular Engineering, Department of Orthopaedic Surgery, University of Pittsburgh School of Medicine, Pittsburgh, PA, 15219, USA
| | - Tarek Taha
- Center for Cellular and Molecular Engineering, Department of Orthopaedic Surgery, University of Pittsburgh School of Medicine, Pittsburgh, PA, 15219, USA
| | - Hang Lin
- Center for Cellular and Molecular Engineering, Department of Orthopaedic Surgery, University of Pittsburgh School of Medicine, Pittsburgh, PA, 15219, USA
| | - Peter G Alexander
- Center for Cellular and Molecular Engineering, Department of Orthopaedic Surgery, University of Pittsburgh School of Medicine, Pittsburgh, PA, 15219, USA
| | - Rocky S Tuan
- Center for Cellular and Molecular Engineering, Department of Orthopaedic Surgery, University of Pittsburgh School of Medicine, Pittsburgh, PA, 15219, USA.
- Institute for Tissue Engineering and Regenerative Medicine, The Chinese University of Hong Kong, Hong Kong, SAR, China.
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Otoo BS, Kuan Moo E, Komeili A, Hart DA, Herzog W. Chondrocyte deformation during the unloading phase of cyclic compression loading. J Biomech 2024; 171:112179. [PMID: 38852482 DOI: 10.1016/j.jbiomech.2024.112179] [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: 11/17/2023] [Revised: 05/20/2024] [Accepted: 05/31/2024] [Indexed: 06/11/2024]
Abstract
Cell volume and shape changes play a pivotal role in cellular mechanotransduction, governing cellular responses to external loading. Understanding the dynamics of cell behavior under loading conditions is essential to elucidate cell adaptation mechanisms in physiological and pathological contexts. In this study, we investigated the effects of dynamic cyclic compression loading on cell volume and shape changes, comparing them with static conditions. Using a custom-designed platform which allowed for simultaneous loading and imaging of cartilage tissue, tissues were subjected to 100 cycles of mechanical loading while measuring cell volume and shape alterations during the unloading phase at specific time points. The findings revealed a transient decrease in cell volume (13%) during the early cycles, followed by a gradual recovery to baseline levels after approximately 20 cycles, despite the cartilage tissue not being fully recovered at the unloading phase. This observed pattern indicates a temporal cell volume response that may be associated with cellular adaptation to the mechanical stimulus through mechanisms related to active cell volume regulation. Additionally, this study demonstrated that cell volume and shape responses during dynamic loading were significantly distinct from those observed under static conditions. Such findings suggest that cells in their natural tissue environment perceive and respond differently to dynamic compared to static mechanical cues, highlighting the significance of considering dynamic loading environments in studies related to cellular mechanics. Overall, this research contributes to the broader understanding of cellular behavior under mechanical stimuli, providing valuable insights into their ability to adapt to dynamic mechanical loading.
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Affiliation(s)
- Baaba S Otoo
- Human Performance Laboratory, University of Calgary, Calgary, AB, Canada; Department of Biomedical Engineering, University of Calgary, Calgary, AB, Canada; McCaig Institute for Bone and Joint Health, University of Calgary, Calgary, AB, Canada.
| | - Eng Kuan Moo
- Human Performance Laboratory, University of Calgary, Calgary, AB, Canada; Department of Mechanical and Aerospace Engineering, Carleton University, Ottawa, ON, Canada.
| | - Amin Komeili
- Human Performance Laboratory, University of Calgary, Calgary, AB, Canada; Department of Biomedical Engineering, University of Calgary, Calgary, AB, Canada; McCaig Institute for Bone and Joint Health, University of Calgary, Calgary, AB, Canada.
| | - David A Hart
- Human Performance Laboratory, University of Calgary, Calgary, AB, Canada; McCaig Institute for Bone and Joint Health, University of Calgary, Calgary, AB, Canada.
| | - Walter Herzog
- Human Performance Laboratory, University of Calgary, Calgary, AB, Canada; Department of Biomedical Engineering, University of Calgary, Calgary, AB, Canada; McCaig Institute for Bone and Joint Health, University of Calgary, Calgary, AB, Canada.
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Kondiboyina V, Duerr TJ, Monaghan JR, Shefelbine SJ. Material properties in regenerating axolotl limbs using inverse finite element analysis. J Mech Behav Biomed Mater 2024; 150:106341. [PMID: 38160643 DOI: 10.1016/j.jmbbm.2023.106341] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/27/2023] [Revised: 12/17/2023] [Accepted: 12/18/2023] [Indexed: 01/03/2024]
Abstract
BACKGROUND The extracellular mechanical environment plays an important role in the skeletal development process. Characterization of the material properties of regenerating tissues that recapitulate development, provides insights into the mechanical environment experienced by the cells and the maturation of the matrix. In this study, we estimated the viscoelastic material properties of regenerating forelimbs in the axolotl (Ambystoma mexicanum) at three different regeneration stages: 27 days post-amputation (mid-late bud) and 41 days post-amputation (palette stage), and fully-grown time points. A stress-relaxation indentation test followed by two-term Prony series viscoelastic inverse finite element analysis was used to obtain material parameters. Glycosaminoglycan (GAG) content was estimated using a 1,9- dimethyl methylene blue assay. RESULTS The instantaneous and equilibrium shear moduli significantly increased with regeneration while the short-term stress relaxation time significantly decreased with limb regeneration. The long-term stress relaxation time in the fully-grown time point was significantly lower than 27 and 41 DPA groups. The GAG content was not significantly different between 27 and 41 DPA but the GAG content of cartilage in the fully-grown group was significantly greater than in 27 and 41 DPA. CONCLUSIONS The mechanical environment of the proliferating cells changes drastically during limb regeneration. Understanding how the tissue's mechanical properties change during limb regeneration is critical for linking molecular-level matrix production of the cells to tissue-level behavior and mechanical signals.
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Affiliation(s)
| | | | | | - Sandra J Shefelbine
- Dept. of Bioengineering, Northeastern University, Boston, MA, USA; Dept. Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA.
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Yuan T, Shen L, Dini D. Porosity-permeability tensor relationship of closely and randomly packed fibrous biomaterials and biological tissues: Application to the brain white matter. Acta Biomater 2024; 173:123-134. [PMID: 37979635 DOI: 10.1016/j.actbio.2023.11.007] [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: 04/17/2023] [Revised: 10/09/2023] [Accepted: 11/06/2023] [Indexed: 11/20/2023]
Abstract
The constitutive model for the porosity-permeability relationship is a powerful tool to estimate and design the transport properties of porous materials, which has attracted significant attention for the advancement of novel materials. However, in comparison with other materials, biomaterials, especially natural and artificial tissues, have more complex microstructures e.g. high anisotropy, high randomness of cell/fibre dimensions/position and very low porosity. Consequently, a reliable microstructure-permeability relationship of fibrous biomaterials has proven elusive. To fill this gap, we start a mathematical derivation from the fundamental brain white matter (WM) formed by nerve fibres. This is augmented by a numerical characterisation and experimental validations to obtain an anisotropic permeability tensor of the brain WM as a function of the tissue porosity. A versatile microstructure generation software (MicroFiM) for fibrous biomaterial with complex microstructure and low porosity was built accordingly and made freely accessible here. Moreover, we propose an anisotropic poro-hyperelastic model enhanced by the newly defined porosity-permeability tensor relationship which precisely captures the tissues macro-scale permeability changes due to the microstructural deformation in an infusion scenario. The constitutive model, theories and protocols established in this study will both provide improved design strategies to tailor the transport properties of fibrous biomaterials and enable the non-invasive characterisation of the transport properties of biological tissues. This will lead to the provision of better patient-specific medical treatments, such as drug delivery. STATEMENT OF SIGNIFICANCE: Due to the microstructural complexity, a reliable microstructure-permeability relationship of fibrous biomaterials has proven elusive, which hinders our way of tuning the fluid transport property of the biomaterials by directly programming their microstructure. The same problem hinders non-invasive characterisations of fluid transport properties in biological tissues, which can significantly improve the efficiency of treatments e.g. drug delivery, directly from the tissues accessible microstructural information, e.g. porosity. Here, we developed a validated mathematical formulation to link the random microstructure to a fibrous material's macroscale permeability tensor. This will advance our capability to design complex biomaterials and make it possible to non-invasively characterise the permeability of living tissues for precise treatment planning. The newly established theory and protocol can be easily adapted to various types of fibrous biomaterials.
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Affiliation(s)
- Tian Yuan
- Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London, SW7 2AZ, UK.
| | - Li Shen
- Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London, SW7 2AZ, UK
| | - Daniele Dini
- Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London, SW7 2AZ, UK.
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Davis S, Zekonyte J, Karali A, Roldo M, Blunn G. Early Degenerative Changes in a Spontaneous Osteoarthritis Model Assessed by Nanoindentation. Bioengineering (Basel) 2023; 10:995. [PMID: 37760097 PMCID: PMC10525236 DOI: 10.3390/bioengineering10090995] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/26/2023] [Revised: 08/15/2023] [Accepted: 08/18/2023] [Indexed: 09/29/2023] Open
Abstract
Understanding early mechanical changes in articular cartilage (AC) and subchondral bone (SB) is crucial for improved treatment of osteoarthritis (OA). The aim of this study was to develop a method for nanoindentation of fresh, unfixed osteochondral tissue to assess the early changes in the mechanical properties of AC and SB. Nanoindentation was performed throughout the depth of AC and SB in the proximal tibia of Dunkin Hartley guinea pigs at 2 months, 3 months, and 2 years of age. The contralateral tibias were either histologically graded for OA or analyzed using immunohistochemistry. The results showed an increase in the reduced modulus (Er) in the deep zone of AC during early-stage OA (6.0 ± 1.75 MPa) compared to values at 2 months (4.04 ± 1.25 MPa) (*** p < 0.001). In severe OA (2-year) specimens, there was a significant reduction in Er throughout the superficial and middle AC zones, which correlated to increased ADAMTS 4 and 5 staining, and proteoglycan loss in these regions. In the subchondral bone, a 35.0% reduction in stiffness was observed between 2-month and 3-month specimens (*** p < 0.001). The severe OA age group had significantly increased SB stiffness of 36.2% and 109.6% compared to 2-month and 3-month-old specimens respectively (*** p < 0.001). In conclusion, this study provides useful information about the changes in the mechanical properties of both AC and SB during both early- and late-stage OA and indicates that an initial reduction in stiffness of the SB and an increase in stiffness in the deep zone of AC may precede early-stage cartilage degeneration.
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Affiliation(s)
- Sarah Davis
- School of Pharmacy and Biomedical Science, University of Portsmouth, Portsmouth PO1 2DT, UK; (M.R.); (G.B.)
- School of Mechanical and Design Engineering, University of Portsmouth, Portsmouth PO1 3DJ, UK; (J.Z.); (A.K.)
| | - Jurgita Zekonyte
- School of Mechanical and Design Engineering, University of Portsmouth, Portsmouth PO1 3DJ, UK; (J.Z.); (A.K.)
| | - Aikaterina Karali
- School of Mechanical and Design Engineering, University of Portsmouth, Portsmouth PO1 3DJ, UK; (J.Z.); (A.K.)
| | - Marta Roldo
- School of Pharmacy and Biomedical Science, University of Portsmouth, Portsmouth PO1 2DT, UK; (M.R.); (G.B.)
| | - Gordon Blunn
- School of Pharmacy and Biomedical Science, University of Portsmouth, Portsmouth PO1 2DT, UK; (M.R.); (G.B.)
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Zhang Y, Wang Z, Sun Q, Li Q, Li S, Li X. Dynamic Hydrogels with Viscoelasticity and Tunable Stiffness for the Regulation of Cell Behavior and Fate. MATERIALS (BASEL, SWITZERLAND) 2023; 16:5161. [PMID: 37512435 PMCID: PMC10386333 DOI: 10.3390/ma16145161] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/22/2023] [Revised: 07/16/2023] [Accepted: 07/19/2023] [Indexed: 07/30/2023]
Abstract
The extracellular matrix (ECM) of natural cells typically exhibits dynamic mechanical properties (viscoelasticity and dynamic stiffness). The viscoelasticity and dynamic stiffness of the ECM play a crucial role in biological processes, such as tissue growth, development, physiology, and disease. Hydrogels with viscoelasticity and dynamic stiffness have recently been used to investigate the regulation of cell behavior and fate. This article first emphasizes the importance of tissue viscoelasticity and dynamic stiffness and provides an overview of characterization techniques at both macro- and microscale. Then, the viscoelastic hydrogels (crosslinked via ion bonding, hydrogen bonding, hydrophobic interactions, and supramolecular interactions) and dynamic stiffness hydrogels (softening, stiffening, and reversible stiffness) with different crosslinking strategies are summarized, along with the significant impact of viscoelasticity and dynamic stiffness on cell spreading, proliferation, migration, and differentiation in two-dimensional (2D) and three-dimensional (3D) cell cultures. Finally, the emerging trends in the development of dynamic mechanical hydrogels are discussed.
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Affiliation(s)
- Yuhang Zhang
- School of Mechanics and Safety Engineering, Zhengzhou University, Zhengzhou 450001, China (Q.L.)
- National Center for International Joint Research of Micro-Nano Moulding Technology, Zhengzhou University, Zhengzhou 450001, China
| | - Zhuofan Wang
- School of Mechanics and Safety Engineering, Zhengzhou University, Zhengzhou 450001, China (Q.L.)
- National Center for International Joint Research of Micro-Nano Moulding Technology, Zhengzhou University, Zhengzhou 450001, China
| | - Qingqing Sun
- School of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, China
| | - Qian Li
- School of Mechanics and Safety Engineering, Zhengzhou University, Zhengzhou 450001, China (Q.L.)
- National Center for International Joint Research of Micro-Nano Moulding Technology, Zhengzhou University, Zhengzhou 450001, China
| | - Shaohui Li
- School of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, China
| | - Xiaomeng Li
- School of Mechanics and Safety Engineering, Zhengzhou University, Zhengzhou 450001, China (Q.L.)
- National Center for International Joint Research of Micro-Nano Moulding Technology, Zhengzhou University, Zhengzhou 450001, China
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Moo EK, Ebrahimi M, Hrynevich A, de Ruijter M, Castilho M, Malda J, Korhonen RK. Load-induced fluid pressurisation in hydrogel systems before and after reinforcement by melt-electrowritten fibrous meshes. J Mech Behav Biomed Mater 2023; 143:105941. [PMID: 37285774 DOI: 10.1016/j.jmbbm.2023.105941] [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: 02/16/2023] [Revised: 05/25/2023] [Accepted: 05/28/2023] [Indexed: 06/09/2023]
Abstract
Fluid pressure develops transiently within mechanically-loaded, cell-embedding hydrogels, but its magnitude depends on the intrinsic material properties of the hydrogel and cannot be easily altered. The recently developed melt-electrowriting (MEW) technique enables three-dimensional printing of structured fibrous mesh with small fibre diameter (20 μm). The MEW mesh with 20 μm fibre diameter can synergistically increase the instantaneous mechanical stiffness of soft hydrogels. However, the reinforcing mechanism of the MEW meshes is not well understood, and may involve load-induced fluid pressurisation. Here, we examined the reinforcing effect of MEW meshes in three hydrogels: gelatin methacryloyl (GelMA), agarose and alginate, and the role of load-induced fluid pressurisation in the MEW reinforcement. We tested the hydrogels with and without MEW mesh (i.e., hydrogel alone, and MEW-hydrogel composite) using micro-indentation and unconfined compression, and analysed the mechanical data using biphasic Hertz and mixture models. We found that the MEW mesh altered the tension-to-compression modulus ratio differently for hydrogels that are cross-linked differently, which led to a variable change to their load-induced fluid pressurisation. MEW meshes only enhanced the fluid pressurisation for GelMA, but not for agarose or alginate. We speculate that only covalently cross-linked hydrogels (GelMA) can effectively tense the MEW meshes, thereby enhancing the fluid pressure developed during compressive loading. In conclusion, load-induced fluid pressurisation in selected hydrogels was enhanced by MEW fibrous mesh, and may be controlled by MEW mesh of different designs in the future, thereby making fluid pressure a tunable cell growth stimulus for tissue engineering involving mechanical stimulation.
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Affiliation(s)
- Eng Kuan Moo
- Department of Technical Physics, University of Eastern Finland, Finland; Department of Mechanical and Aerospace Engineering, Carleton University, Canada; Human Performance Laboratory, Faculty of Kinesiology, University of Calgary, Canada.
| | | | - Andrei Hrynevich
- Department of Orthopaedics, University Medical Center Utrecht, the Netherlands.
| | - Mylène de Ruijter
- Department of Orthopaedics, University Medical Center Utrecht, the Netherlands.
| | - Miguel Castilho
- Department of Orthopaedics, University Medical Center Utrecht, the Netherlands; Department of Biomedical Engineering, Eindhoven University of Technology, the Netherlands.
| | - Jos Malda
- Department of Orthopaedics, University Medical Center Utrecht, the Netherlands; Department of Clinical Sciences, Faculty of Veterinary Medicine, Utrecht University, the Netherlands.
| | - Rami K Korhonen
- Department of Technical Physics, University of Eastern Finland, Finland.
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Belluzzi E, Todros S, Pozzuoli A, Ruggieri P, Carniel EL, Berardo A. Human Cartilage Biomechanics: Experimental and Theoretical Approaches towards the Identification of Mechanical Properties in Healthy and Osteoarthritic Conditions. Processes (Basel) 2023. [DOI: 10.3390/pr11041014] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/30/2023] Open
Abstract
Articular cartilage is a complex connective tissue with the fundamental functions of load bearing, shock absorption and lubrication in joints. However, traumatic events, aging and degenerative pathologies may affect its structural integrity and function, causing pain and long-term disability. Osteoarthritis represents a health issue, which concerns an increasing number of people worldwide. Moreover, it has been observed that this pathology also affects the mechanical behavior of the articular cartilage. To better understand this correlation, the here proposed review analyzes the physiological aspects that influence cartilage microstructure and biomechanics, with a special focus on the pathological changes caused by osteoarthritis. Particularly, the experimental data on human articular cartilage are presented with reference to different techniques adopted for mechanical testing and the related theoretical mechanical models usually applied to articular cartilage are briefly discussed.
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McCreery KP, Luetkemeyer CM, Calve S, Neu CP. Hyperelastic characterization reveals proteoglycans drive the nanoscale strain-stiffening response in hyaline cartilage. J Biomech 2023; 146:111397. [PMID: 36469996 PMCID: PMC9922104 DOI: 10.1016/j.jbiomech.2022.111397] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/09/2022] [Revised: 09/23/2022] [Accepted: 11/18/2022] [Indexed: 11/27/2022]
Abstract
Degenerative diseases such as osteoarthritis (OA) result in deterioration of cartilage extracellular matrix (ECM) components, significantly compromising tissue function. For measurement of mechanical properties at micron resolution, atomic force microscopy (AFM) is a leading technique in biomaterials research, including in the study of OA. It is common practice to determine material properties by applying classical Hertzian contact theory to AFM data. However, errors are consequential because the application of a linear elastic contact model to tissue ignores the fact that soft materials exhibit nonlinear properties even at small strains, influencing the biological conclusions of clinically-relevant studies. Additionally, nonlinear material properties are not well characterized, limiting physiological relevance of Young's modulus. Here, we probe the ECM of hyaline cartilage with AFM and explore the application of Hertzian theory in comparison to five hyperelastic models: NeoHookean, Mooney-Rivlin, Arruda-Boyce, Fung, and Ogden. The Fung and Ogden models achieved the best fits of the data, but the Fung model demonstrated robust sensitivity during model validation, demonstrating its ideal application to cartilage ECM and potentially other connective tissues. To develop a biological understanding of the Fung nonlinear parameter, we selectively degraded ECM components to target collagens (purified collagenase), hyaluronan (bacterial hyaluronidase), and glycosaminoglycans (chondroitinase ABC). We found significant differences in both Fung parameters in response to enzymatic treatment, indicating that proteoglycans drive the nonlinear response of cartilage ECM, and validating biological relevance of these phenomenological parameters. Our findings add value to the biomechanics community of using two-parameter material models for microindentation of soft biomaterials.
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Affiliation(s)
- Kaitlin P McCreery
- Paul M. Rady Department of Mechanical Engineering, University of Colorado, Boulder, CO, USA; Biomedical Engineering Program, University of Colorado, Boulder, CO, USA
| | - Callan M Luetkemeyer
- Paul M. Rady Department of Mechanical Engineering, University of Colorado, Boulder, CO, USA.
| | - Sarah Calve
- Paul M. Rady Department of Mechanical Engineering, University of Colorado, Boulder, CO, USA; Biomedical Engineering Program, University of Colorado, Boulder, CO, USA
| | - Corey P Neu
- Paul M. Rady Department of Mechanical Engineering, University of Colorado, Boulder, CO, USA; Biomedical Engineering Program, University of Colorado, Boulder, CO, USA.
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Petitjean N, Canadas P, Royer P, Noël D, Le Floc'h S. Cartilage biomechanics: From the basic facts to the challenges of tissue engineering. J Biomed Mater Res A 2022; 111:1067-1089. [PMID: 36583681 DOI: 10.1002/jbm.a.37478] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/11/2022] [Revised: 11/07/2022] [Accepted: 11/22/2022] [Indexed: 12/31/2022]
Abstract
Articular cartilage (AC) is the thin tissue that covers the long bone ends in the joints and that ensures the transmission of forces between adjacent bones while allowing nearly frictionless movements between them. AC repair is a technologic and scientific challenge that has been addressed with numerous approaches. A major deadlock is the capacity to take in account its complex mechanical properties in repair strategies. In this review, we first describe the major mechanical behaviors of AC for the non-specialists. Then, we show how researchers have progressively identified specific mechanical parameters using mathematical models. There are still gaps in our understanding of some of the observations concerning AC biomechanical properties, particularly the differences in extracellular matrix stiffness measured at the microscale and at the millimetric scale. Nevertheless, for bioengineering applications, AC repair strategies must take into account what are commonly considered the main mechanical features of cartilage: its ability to withstand high stresses through three main behaviors (elasticity, poroelasticity and swelling). Finally, we emphasize that future studies need to investigate AC mechanical properties at different scales, particularly the gradient of mechanical properties around cells and across the cartilage depth, and the differences in mechanical properties at different scales. This multi-scale approach could greatly enhance the success of AC restorative approaches.
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Affiliation(s)
| | | | - Pascale Royer
- LMGC, University of Montpellier, CNRS, Montpellier, France
| | - Danièle Noël
- IRMB, University of Montpellier, INSERM, Montpellier, France.,Clinical Immunology and Osteoarticular Disease Therapeutic Unit, Department of Rheumatology, CHU Montpellier, France
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Pei S, Zhou Y, Li Y, Azar T, Wang W, Kim DG, Liu XS. Instrumented nanoindentation in musculoskeletal research. PROGRESS IN BIOPHYSICS AND MOLECULAR BIOLOGY 2022; 176:38-51. [PMID: 35660010 DOI: 10.1016/j.pbiomolbio.2022.05.010] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/25/2022] [Revised: 05/24/2022] [Accepted: 05/31/2022] [Indexed: 06/15/2023]
Abstract
Musculoskeletal tissues, such as bone, cartilage, and muscle, are natural composite materials that are constructed with a hierarchical structure ranging from the cell to tissue level. The component differences and structural complexity, together, require comprehensive multiscale mechanical characterization. In this review, we focus on nanoindentation testing, which is used for nanometer to sub-micrometer length scale mechanical characterization. In the following context, we will summarize studies of nanoindentation in musculoskeletal research, examine the critical factors that affect nanoindentation testing results, and briefly summarize other commonly used techniques that can be conjoined with nanoindentation for synchronized imaging and colocalized characterization.
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Affiliation(s)
- Shaopeng Pei
- McKay Orthopaedic Research Laboratory, Department of Orthopaedic Surgery, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA, 19104, United States
| | - Yilu Zhou
- McKay Orthopaedic Research Laboratory, Department of Orthopaedic Surgery, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA, 19104, United States
| | - Yihan Li
- McKay Orthopaedic Research Laboratory, Department of Orthopaedic Surgery, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA, 19104, United States
| | - Tala Azar
- McKay Orthopaedic Research Laboratory, Department of Orthopaedic Surgery, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA, 19104, United States
| | - Wenzheng Wang
- McKay Orthopaedic Research Laboratory, Department of Orthopaedic Surgery, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA, 19104, United States; Department of Orthopaedic Surgery, Union Hospital, Tongji Medical College, Huazhong University of Science and Technology, Wuhan, Hubei, 430030, China
| | - Do-Gyoon Kim
- Division of Orthodontics, College of Dentistry, The Ohio State University, Columbus, OH, 43210, USA
| | - X Sherry Liu
- McKay Orthopaedic Research Laboratory, Department of Orthopaedic Surgery, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA, 19104, United States.
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Yu Y, Fischenich KM, Schoonraad SA, Weatherford S, Uzcategui AC, Eckstein K, Muralidharan A, Crespo-Cuevas V, Rodriguez-Fontan F, Killgore JP, Li G, McLeod RR, Miller NH, Ferguson VL, Bryant SJ, Payne KA. A 3D printed mimetic composite for the treatment of growth plate injuries in a rabbit model. NPJ Regen Med 2022; 7:60. [PMID: 36261516 PMCID: PMC9581903 DOI: 10.1038/s41536-022-00256-1] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/22/2021] [Accepted: 10/05/2022] [Indexed: 11/08/2022] Open
Abstract
Growth plate injuries affecting the pediatric population may cause unwanted bony repair tissue that leads to abnormal bone elongation. Clinical treatment involves bony bar resection and implantation of an interpositional material, but success is limited and the bony bar often reforms. No treatment attempts to regenerate the growth plate cartilage. Herein we develop a 3D printed growth plate mimetic composite as a potential regenerative medicine approach with the goal of preventing limb length discrepancies and inducing cartilage regeneration. A poly(ethylene glycol)-based resin was used with digital light processing to 3D print a mechanical support structure infilled with a soft cartilage-mimetic hydrogel containing chondrogenic cues. Our biomimetic composite has similar mechanical properties to native rabbit growth plate and induced chondrogenic differentiation of rabbit mesenchymal stromal cells in vitro. We evaluated its efficacy as a regenerative interpositional material applied after bony bar resection in a rabbit model of growth plate injury. Radiographic imaging was used to monitor limb length and tibial plateau angle, microcomputed tomography assessed bone morphology, and histology characterized the repair tissue that formed. Our 3D printed growth plate mimetic composite resulted in improved tibial lengthening compared to an untreated control, cartilage-mimetic hydrogel only condition, and a fat graft. However, in vivo the 3D printed growth plate mimetic composite did not show cartilage regeneration within the construct histologically. Nevertheless, this study demonstrates the feasibility of a 3D printed biomimetic composite to improve limb lengthening, a key functional outcome, supporting its further investigation as a treatment for growth plate injuries.
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Affiliation(s)
- Yangyi Yu
- Colorado Program for Musculoskeletal Research, Department of Orthopedics, University of Colorado Anschutz Medical Campus, Aurora, CO, USA
- Shenzhen Key Laboratory of Musculoskeletal Tissue Reconstruction and Function Restoration, Department of Bone and Joint Surgery, Shenzhen People's Hospital (The Second Clinical Medical College Jinan University, The First Affiliated Hospital, Southern University of Science and Technology), Shenzhen, China
| | - Kristine M Fischenich
- Colorado Program for Musculoskeletal Research, Department of Orthopedics, University of Colorado Anschutz Medical Campus, Aurora, CO, USA
- Department of Mechanical Engineering, University of Colorado Boulder, Boulder, CO, USA
| | - Sarah A Schoonraad
- Materials Science and Engineering Program, University of Colorado Boulder, Boulder, CO, USA
| | - Shane Weatherford
- Colorado Program for Musculoskeletal Research, Department of Orthopedics, University of Colorado Anschutz Medical Campus, Aurora, CO, USA
| | - Asais Camila Uzcategui
- Materials Science and Engineering Program, University of Colorado Boulder, Boulder, CO, USA
| | - Kevin Eckstein
- Department of Mechanical Engineering, University of Colorado Boulder, Boulder, CO, USA
| | - Archish Muralidharan
- Materials Science and Engineering Program, University of Colorado Boulder, Boulder, CO, USA
| | - Victor Crespo-Cuevas
- Department of Mechanical Engineering, University of Colorado Boulder, Boulder, CO, USA
| | - Francisco Rodriguez-Fontan
- Colorado Program for Musculoskeletal Research, Department of Orthopedics, University of Colorado Anschutz Medical Campus, Aurora, CO, USA
| | - Jason P Killgore
- Applied Chemicals and Materials Division (647), National Institute of Standards and Technology (NIST), Boulder, CO, USA
| | - Guangheng Li
- Shenzhen Key Laboratory of Musculoskeletal Tissue Reconstruction and Function Restoration, Department of Bone and Joint Surgery, Shenzhen People's Hospital (The Second Clinical Medical College Jinan University, The First Affiliated Hospital, Southern University of Science and Technology), Shenzhen, China
| | - Robert R McLeod
- Materials Science and Engineering Program, University of Colorado Boulder, Boulder, CO, USA
- Department of Electrical, Computer and Energy Engineering, University of Colorado Boulder, Boulder, CO, USA
| | - Nancy Hadley Miller
- Colorado Program for Musculoskeletal Research, Department of Orthopedics, University of Colorado Anschutz Medical Campus, Aurora, CO, USA
- Musculoskeletal Research Center, Children's Hospital Colorado, Aurora, CO, USA
| | - Virginia L Ferguson
- Department of Mechanical Engineering, University of Colorado Boulder, Boulder, CO, USA
- Materials Science and Engineering Program, University of Colorado Boulder, Boulder, CO, USA
- BioFrontiers Institute, University of Colorado Boulder, Boulder, CO, USA
| | - Stephanie J Bryant
- Materials Science and Engineering Program, University of Colorado Boulder, Boulder, CO, USA
- BioFrontiers Institute, University of Colorado Boulder, Boulder, CO, USA
- Department of Chemical and Biological Engineering, University of Colorado Boulder, Boulder, CO, USA
| | - Karin A Payne
- Colorado Program for Musculoskeletal Research, Department of Orthopedics, University of Colorado Anschutz Medical Campus, Aurora, CO, USA.
- Gates Center for Regenerative Medicine, University of Colorado Anschutz Medical Campus, Aurora, CO, USA.
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13
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Berni M, Erani P, Lopomo NF, Baleani M. Optimization of In Situ Indentation Protocol to Map the Mechanical Properties of Articular Cartilage. MATERIALS (BASEL, SWITZERLAND) 2022; 15:6425. [PMID: 36143736 PMCID: PMC9505484 DOI: 10.3390/ma15186425] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 07/27/2022] [Revised: 08/29/2022] [Accepted: 09/13/2022] [Indexed: 06/16/2023]
Abstract
Tissue engineering aims at developing complex composite scaffolds for articular cartilage repair. These scaffolds must exhibit a mechanical behavior similar to the whole osteochondral unit. In situ spherical indentation allows us to map the mechanical behavior of articular cartilage, avoiding removal of the underlying bone tissue. Little is known about the impact of grid spacing, indenter diameter, and induced deformation on the cartilage response to indentation. We investigated the impact of grid spacing (range: a to 3a, where a is the radius of the contact area between cartilage and indenter), indenter diameter (range: 1 to 8 mm), and deformation induced by indentation (constant indentation depth versus constant nominal deformation) on cartilage response. The bias induced by indentations performed in adjacent grid points was minimized with a 3a grid spacing. The cartilage response was indenter-dependent for diameters ranging between 1 and 6 mm with a nominal deformation of 15%. No significant differences were found using 6 mm and 8 mm indenters. Six mm and 8 mm indenters were used to map human articular cartilage with a grid spacing equal to 3a. Instantaneous elastic modulus E0 was calculated for constant indentation depth and constant nominal deformation. E0 value distribution did not change significantly by switching the two indenters, while dispersion decreased by 5-6% when a constant nominal deformation was applied. Such an approach was able to discriminate changes in tissue response due to doubling the indentation rate. The proposed procedure seems to reduce data dispersion and properly determine cartilage mechanical properties to be compared with those of complex composite scaffolds.
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Affiliation(s)
- Matteo Berni
- Laboratorio di Tecnologia Medica, IRCCS Istituto Ortopedico Rizzoli, 40136 Bologna, Italy
| | - Paolo Erani
- Laboratorio di Tecnologia Medica, IRCCS Istituto Ortopedico Rizzoli, 40136 Bologna, Italy
| | | | - Massimiliano Baleani
- Laboratorio di Tecnologia Medica, IRCCS Istituto Ortopedico Rizzoli, 40136 Bologna, Italy
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14
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Mostakhdemin M, Nand A, Ramezani M. Tribological Evaluation of Silica Nanoparticle Enhanced Bilayer Hydrogels as A Candidate for Cartilage Replacement. Polymers (Basel) 2022; 14:polym14173593. [PMID: 36080668 PMCID: PMC9460628 DOI: 10.3390/polym14173593] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/24/2022] [Revised: 08/20/2022] [Accepted: 08/23/2022] [Indexed: 11/24/2022] Open
Abstract
Polymeric hydrogels can be used as artificial replacement for lesioned cartilage. However, modulating the hydrogel formulation that mimics articular cartilage tissue with respect to mechanical and tribological properties has remained a challenge. This study encompasses the tribological evaluation of a silica nanoparticle (SNP) loaded bilayer nanocomposite hydrogel (NCH), synthesized using acrylamide, acrylic acid, and alginate via modulated free-radical polymerization. Multi-factor pin-on-plate sliding wear experiments were carried out with a steel ball counterface using a linear reciprocating tribometer. Tribological properties of NCHs with 0.6 wt% SNPs showed a significant improvement in the wear resistance of the lubricious layer and a low coefficient of friction (CoF). CoF of both non-reinforced hydrogel (NRH) and NCH at maximum contact pressure ranged from 0.006 to 0.008, which is in the order of the CoF of healthy articular cartilage. Interfacial surface energy was analysed according to Johnson, Kendall, and Robert’s theory, and NCHs showed superior mechanical properties and surface energy compared to NRHs. Lubrication regimes’ models were drawn based on the Stribeck chart parameters, and CoF results were highlighted in the elastoviscous transition regime.
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Affiliation(s)
- Mohammad Mostakhdemin
- Department of Mechanical Engineering, Auckland University of Technology, Auckland 1010, New Zealand
- Correspondence: (M.M.); (M.R.)
| | - Ashveen Nand
- Faculty of Engineering, University of Auckland, Auckland 1010, New Zealand
| | - Maziar Ramezani
- Department of Mechanical Engineering, Auckland University of Technology, Auckland 1010, New Zealand
- Correspondence: (M.M.); (M.R.)
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15
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Auger JD, Naik AJ, Murakami AM, Gerstenfeld LC, Morgan EF. Spatial assessment of femoral neck bone density and microstructure in hip osteoarthritis. Bone Rep 2022; 16:101155. [PMID: 34984214 PMCID: PMC8693349 DOI: 10.1016/j.bonr.2021.101155] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 11/24/2021] [Accepted: 11/30/2021] [Indexed: 11/18/2022] Open
Abstract
Osteoarthritis (OA) is known to involve profound changes in bone density and microstructure near to, and even distal to, the joint. Critically, however, a full, spatial picture of these abnormalities has not been well documented in a quantitative fashion in hip OA. Here, micro-computed tomography (44.8 μm/voxel) and data-driven computational anatomy were used to generate 3-D maps of the distribution of bone density and microstructure in human femoral neck samples with early (6F/4M, mean age = 51.3 years), moderate (14F/8M, mean age = 60 years), and severe (16F/6M, mean age = 63.3 years) radiographic OA. With increasing severity of radiographic OA, there was decreased cortical bone mineral density (BMD) (p=0.003), increased cortical thickness (p=0.001), increased cortical porosity (p=0.0028), and increased cortical cross-sectional area (p=0.0012, due to an increase in periosteal radius (p=0.018)), with no differences detected in the total femoral neck or trabecular compartment measures. No OA-related region-specific differences were detected through Statistical Parametric Mapping, but there were trends towards decreased tissue mineral density (TMD) in the inferior femoral neck with increasing OA severity (0.050 < p ≤ 0.091), possibly due to osteophytes. Overall, the lack of differences in cortical TMD among radiographic OA groups indicated that the decrease in cortical BMD with increasing OA severity was largely due to the increased cortical porosity rather than decreased tissue mineralization. As porosity is inversely associated with stiffness and strength in cortical bone, increased porosity may offset the effect that increased cortical cross-sectional area would be expected to have on reducing stresses within the femoral neck. The use of high-resolution imaging and quantitative spatial assessment in this study provide insight into the heterogeneous and multi-faceted changes in density and microstructure in hip OA, which have implications for OA progression and fracture risk.
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Affiliation(s)
| | | | - Akira M. Murakami
- Boston University School of Medicine, Boston, MA, United States of America
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16
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Barthold JE, McCreery K, Martinez J, Bellerjeau C, Ding Y, Bryant SJ, Whiting G, Neu CP. Particulate ECM biomaterial ink is 3D printed and naturally crosslinked to form structurally-layered and lubricated cartilage tissue mimics. Biofabrication 2022; 14. [PMID: 35203071 DOI: 10.1088/1758-5090/ac584c] [Citation(s) in RCA: 10] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/13/2021] [Accepted: 02/24/2022] [Indexed: 11/11/2022]
Abstract
Articular cartilage is a layered tissue with a complex, heterogenous structure and lubricated surface which is challenging to reproduce using traditional tissue engineering methods. 3D printing techniques have enabled engineering of complex scaffolds for cartilage regeneration, but constructs fail to replicate the unique zonal layers, and limited cytocompatible crosslinkers exist. To address the need for mechanically robust, layered scaffolds, we developed an extracellular matrix particle-based biomaterial ink (pECM biomaterial ink) which can be extruded, polymerizes via disulfide bonding, and restores surface lubrication. Our cartilage pECM biomaterial ink utilizes functionalized hyaluronan, a naturally occurring glycosaminoglycan, crosslinked directly to decellularized tissue particles (ø 40-100 µm). We experimentally determined that hyaluronan functionalized with thiol groups (t-HA) forms disulfide bonds with the ECM particles to form a 3D network. We show that two inks can be co-printed to create a layered cartilage scaffold with bulk compressive and surface (friction coefficient, adhesion, and roughness) mechanics approaching values measured on native cartilage. We demonstrate that our printing process enables the addition of macropores throughout the construct, increasing the viability of introduced cells by 10%. The delivery of these 3D printed scaffolds to a defect is straightforward, customizable to any shape, and adheres to surrounding tissue.
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Affiliation(s)
- Jeanne E Barthold
- Paul M. Rady Department of Mechanical Engineering, University of Colorado at Boulder, 1111 Engineering Drive, Boulder, Colorado, 80309-0401, UNITED STATES
| | - Kaitlin McCreery
- Paul M. Rady Department of Mechanical Engineering, University of Colorado at Boulder, 1111 Engineering Drive, Boulder, Colorado, 80309-0401, UNITED STATES
| | - Jaylene Martinez
- Paul M. Rady Department of Mechanical Engineering, University of Colorado at Boulder, 1111 Engineering Drive, Boulder, Colorado, 80309-0401, UNITED STATES
| | - Charlotte Bellerjeau
- Paul M. Rady Department of Mechanical Engineering, University of Colorado at Boulder, 1111 Engineering Drive, Boulder, Colorado, 80309-0401, UNITED STATES
| | - Yifu Ding
- Department of Mechanical Engineering Campmode, University of Colorado at Boulder, Campus Box 427, 1111 Engineering Drive, Boulder, Colorado, 80309, UNITED STATES
| | - Stephanie J Bryant
- Department of Chemical and Biological Engineering, University of Colorado at Boulder, 3415 Colorado Ave, USA, Boulder, Colorado, 80309, UNITED STATES
| | - Gregory Whiting
- Department of Mechanical Engineering, University of Colorado at Boulder, 1111 Engineering Drive, Boulder, Colorado, 80309-0401, UNITED STATES
| | - Corey P Neu
- Paul M. Rady Department of Mechanical Engineering, University of Colorado at Boulder, 1111 Engineering Drive, UCB 427, Boulder, Colorado, 80309-0401, UNITED STATES
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17
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Eckstein KN, Thomas SM, Scott AK, Neu CP, Payne KA, Ferguson VL. The heterogeneous mechanical properties of adolescent growth plate cartilage: A study in rabbit. J Mech Behav Biomed Mater 2022; 128:105102. [PMID: 35203020 PMCID: PMC9047008 DOI: 10.1016/j.jmbbm.2022.105102] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/29/2021] [Revised: 01/08/2022] [Accepted: 01/21/2022] [Indexed: 01/01/2023]
Abstract
The growth plate is a cartilaginous tissue that functions to lengthen bones in children. When fractured, however, the growth plate can lose this critical function. Our understanding of growth plate fracture and mechanobiology is currently hindered by sparse information on the growth plate's microscale spatial gradients in mechanical properties. In this study, we performed microindentation across the proximal tibia growth plate of 9-week-old New Zealand White rabbits (n = 15) to characterize spatial variations in mechanical properties using linear elastic and nonlinear poroelastic material models. Mean indentation results for Hertz reduced modulus ranged from 380 to 690 kPa, with a peak in the upper hypertrophic zone and significant differences (p < 0.05) between neighboring zones. Using a subset of these animals (n = 7), we characterized zonal structure and extracellular matrix content of the growth plate through confocal fluorescent microscopy and Raman spectroscopy mapping. Comparison between mechanical properties and matrix content across the growth plate showed that proteoglycan content correlated with compressive modulus. This study is the first to measure poroelastic mechanical properties from microindentation across growth plate cartilage and to discern differing mechanical properties between the upper and lower hypertrophic zones. This latter finding may explain the location of typical growth plate fractures. The spatial variation in our reported mechanical properties emphasize the heterogeneous structure of the growth plate which is important to inform future regenerative implant design and mechanobiological models.
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18
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Lou L, Lopez KO, Nautiyal P, Agarwal A. Integrated Perspective of Scaffold Designing and Multiscale Mechanics in Cardiac Bioengineering. ADVANCED NANOBIOMED RESEARCH 2021. [DOI: 10.1002/anbr.202100075] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022] Open
Affiliation(s)
- Lihua Lou
- Department of Mechanical and Materials Engineering Florida International University Miami FL 33174 USA
| | - Kazue Orikasa Lopez
- Department of Mechanical and Materials Engineering Florida International University Miami FL 33174 USA
| | - Pranjal Nautiyal
- Mechanical Engineering and Applied Mechanics University of Pennsylvania Philadelphia PA 19104 USA
| | - Arvind Agarwal
- Plasma Forming Laboratory Advanced Materials Engineering Research Institute (AMERI) Mechanical and Materials Engineering College of Engineering and Computing Florida International University Miami FL 33174 USA
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19
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Yuh C, O'Bryan CS, Angelini TE, Wimmer MA. Microindentation of cartilage before and after articular loading in a bioreactor: assessment of length-scale dependency using two analysis methods. EXPERIMENTAL MECHANICS 2021; 61:1069-1080. [PMID: 35528779 PMCID: PMC9075500 DOI: 10.1007/s11340-021-00742-5] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/24/2020] [Accepted: 06/04/2021] [Indexed: 06/14/2023]
Abstract
BACKGROUND Microindentation is a technique with high sensitivity and spatial resolution, allowing for measurements at small-scale indentation depths. Various methods of indentation analysis to determine output properties exist. OBJECTIVE Here, the Oliver-Pharr Method and Hertzian Method were compared for stiffness analyses of articular cartilage at varying length-scales before and after bioreactor loading. METHODS Using three different conospherical tips with varying radii (20, 100, 793.75 μm), a bioreactor-indenter workflow was performed on cartilage explants to assess changes in stiffness due to articular loading. For all data, both the Oliver-Pharr Method and Hertzian Method were applied for indentation analysis. RESULTS The reduced moduli calculated by the Hertzian Method were found to be similar to those of the Oliver-Pharr Method when the 20 μm tip size was used. The reduced moduli calculated using the Hertzian Method were found to be consistent across the varying length-scales, whereas for the Oliver-Pharr Method, adhesion/suction led to the largest tip exhibiting an increased average reduced modulus compared to the two smaller tips. Loading induced stiffening of articular cartilage was observed consistently, regardless of tip size or indentation analysis applied. CONCLUSIONS Overall, geometric linearity is preserved across all tip sizes for the Hertzian Method and may be assumed for the two smaller tip sizes using the Oliver-Pharr Method. These findings further validate the previously described stiffening response of the superficial zone of cartilage after articular loading and demonstrate that the finding is length-scale independent.
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Affiliation(s)
- C Yuh
- Rush University Medical Center, Chicago, IL
| | - C S O'Bryan
- University of Florida, Gainesville, FL
- University of Pennsylvania, Philadelphia, PA
| | | | - M A Wimmer
- Rush University Medical Center, Chicago, IL
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20
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Lin W, Meng Q, Li J, Chen Z, Jin Z. The effect of highly inhomogeneous biphasic properties on mechanical behaviour of articular cartilage. COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 2021; 206:106122. [PMID: 33979755 DOI: 10.1016/j.cmpb.2021.106122] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/27/2020] [Accepted: 04/16/2021] [Indexed: 06/12/2023]
Abstract
BACKGROUND AND OBJECTIVE Investigating the biomechanics of cartilage could help to understand the unique load-bearing property of the cartilage and optimize the scaffold design in tissue-engineering. It is important to model the cartilage as a highly inhomogeneous fibril-reinforced biphasic material to represent its complex composition and structure. The depth-dependent and strain-dependent properties of the cartilage would also play an important role in its mechanical behaviour. However, the differences in representing the cartilage as a highly inhomogeneous model or as simplified models still remain unclear. Hence, in this study, a highly inhomogeneous fibril-reinforced biphasic cartilage model considering both the depth-dependent and strain-dependent properties was constructed; the effect of highly inhomogeneous properties on the mechanical behaviour of articular cartilage was investigated. METHODS A finite element model of the cartilage was developed based on a flat-ended indentation test. Compressive forces were applied to four various inhomogeneous layered models through a porous indenter (Model 1: nine layers with strain-dependent permeability; Model 2: three layers with strain-dependent permeability; Model 3: single layer with strain-dependent permeability; Model 4: nine layers with constant permeability). RESULTS Models 1 and 2 provided similar results with less than 3% difference in the peak effective stress, contact pressure, fluid pressure as well as fluid support ratio. However, Model 1 to Model 3 differed in stress and strain distribution patterns along depth over prolonged loads, which may provide an important insight into the highly inhomogeneous depth-dependent properties of cartilage. In addition, Model 1 with strain-dependent permeability demonstrated an enhanced capability on fluid pressurisation as compared with Model 4 which had constant permeability. CONCLUSIONS A highly inhomogeneous fibril-reinforced biphasic model considering both depth-dependent and strain-dependent properties was developed in this study, in order to illustrate the effect of highly inhomogeneous properties on the mechanical behaviour of the articular cartilage. The number of layers in the models with depth-dependent properties should be selected according to the research questions and clinical demands. The model with strain-dependent permeability offers an enhanced capability on fluid pressurisation. In future studies, the proposed model could be adopted in cell-models to provide more in-depth information or in tissue-engineering to optimize the depth-dependent scaffold structure.
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Affiliation(s)
- Weijian Lin
- State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi'an Jiaotong University, 710054, Xi'an, Shaanxi, China.
| | - Qingen Meng
- Institute of Medical and Biological Engineering, School of Mechanical Engineering, University of Leeds, Leeds, LS2 9JT, United Kingdom
| | - Junyan Li
- Tribology Research Institute, School of Mechanical Engineering, Southwest Jiaotong University, 610031, Chengdu, Sichuan, China
| | - Zhenxian Chen
- Key Laboratory of Road Construction Technology and Equipment (Ministry of Education), Chang'an University, 710064, Xi'an, Shaanxi, China.
| | - Zhongmin Jin
- State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi'an Jiaotong University, 710054, Xi'an, Shaanxi, China; Institute of Medical and Biological Engineering, School of Mechanical Engineering, University of Leeds, Leeds, LS2 9JT, United Kingdom; Tribology Research Institute, School of Mechanical Engineering, Southwest Jiaotong University, 610031, Chengdu, Sichuan, China.
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21
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Li X, Lu Y, Wang Y, Zhou S, Li L, Zhao F. Thermo-responsive injectable naringin-loaded hydrogel polymerised sodium alginate/bioglass delivery for articular cartilage. Drug Deliv 2021; 28:1290-1300. [PMID: 34176372 PMCID: PMC8238061 DOI: 10.1080/10717544.2021.1938752] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023] Open
Abstract
In the human body, joint cartilage is of great importance. It has long been a big therapeutic problem to fix joint cartilage lesions as it appears due to different conditions. Recent stories have shown that the cartilage replacement process must delay the extracellular (ECM) cartilage deterioration and modulate the host's inflammation response. For the reconstruction of the articular cartilage, drug-loaded injectable hydrogels were developed. This hydrogel could retain the chondrocyte phenotype, but the host's inflammatory reaction could also be controlled. The bioglass (BG)/sodium alginate (SA) injectable hydrogels was combined with agarose (AG)/Naringin hydrogel in injectable thermal response for articular cartilage regeneration with a non-chargeable hydrogel that contains both Naringin and BG (Naringin–BG hydrogels). The Naringin–BG hydrogel has an adequate swelling ratio that encourages the fusion of tissue formed with host tissue and enables the gradual release of Naringin bioavailabilities enhanced in situ. The Naringin–BG hydrogel can upgrade the typical chondrocyte phenotype by upregulating aggrecan, SRY-box 9, and collagen type II alpha one chain. It may also stimulate the polarization of M2 macrophage, lower inflammations, and prevent ECM degradations through the decrease of the expressions of the indictable metalloproteinase-13 matrix, nitric oxide synthase, and metalloproteinase-1 matrix. The formed tissues were identical to normal tissues and firmly incorporated with the surrounding tissue after administering the Naringin–BG hydrogels into the rat model articular cartilage defects. Then the injectable Naringin–BG hydrogel increases the bioavailable content of Naringin and retains the chondrocyte phenotype.
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Affiliation(s)
- Xiang Li
- Department of Orthopaedic Surgery, The First Affiliated Hospital, Zhejiang University, School of Medicine, Hangzhou, China
| | - Yang Lu
- Department of Orthopaedic Surgery, The First Affiliated Hospital, Zhejiang University, School of Medicine, Hangzhou, China
| | - Yuxin Wang
- Department of Orthopaedic Surgery, The First Affiliated Hospital, Zhejiang University, School of Medicine, Hangzhou, China
| | - Shengji Zhou
- Department of Orthopaedic Surgery, The First Affiliated Hospital, Zhejiang University, School of Medicine, Hangzhou, China
| | - Liangping Li
- Department of Surgery, The Second Affiliated Hospital of Zhejiang University, School of Medicine, Hangzhou, China
| | - Fengchao Zhao
- Department of Orthopaedic Surgery, The First Affiliated Hospital, Zhejiang University, School of Medicine, Hangzhou, China
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22
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Mostakhdemin M, Nand A, Ramezani M. Articular and Artificial Cartilage, Characteristics, Properties and Testing Approaches-A Review. Polymers (Basel) 2021; 13:2000. [PMID: 34207194 PMCID: PMC8234542 DOI: 10.3390/polym13122000] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/19/2021] [Revised: 06/13/2021] [Accepted: 06/14/2021] [Indexed: 12/25/2022] Open
Abstract
The design and manufacture of artificial tissue for knee joints have been highlighted recently among researchers which necessitates an apt approach for its assessment. Even though most re-searches have focused on specific mechanical or tribological tests, other aspects have remained underexplored. In this review, elemental keys for design and testing artificial cartilage are dis-cussed and advanced methods addressed. Articular cartilage structure, its compositions in load-bearing and tribological properties of hydrogels, mechanical properties, test approaches and wear mechanisms are discussed. Bilayer hydrogels as a niche in tissue artificialization are presented, and recent gaps are assessed.
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Affiliation(s)
- Mohammad Mostakhdemin
- Department of Mechanical Engineering, Auckland University of Technology, Auckland 1142, New Zealand
| | - Ashveen Nand
- School of Environmental and Animal Sciences, Unitec Institute of Technology, Auckland 1025, New Zealand;
- School of Healthcare and Social Practice, Unitec Institute of Technology, Auckland 1025, New Zealand
| | - Maziar Ramezani
- Department of Mechanical Engineering, Auckland University of Technology, Auckland 1142, New Zealand
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23
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Han G, Chowdhury U, Eriten M, Henak CR. Relaxation capacity of cartilage is a critical factor in rate- and integrity-dependent fracture. Sci Rep 2021; 11:9527. [PMID: 33947908 PMCID: PMC8096812 DOI: 10.1038/s41598-021-88942-w] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/12/2021] [Accepted: 04/15/2021] [Indexed: 11/30/2022] Open
Abstract
Articular cartilage heals poorly but experiences mechanically induced damage across a broad range of loading rates and matrix integrity. Because loading rates and matrix integrity affect cartilage mechanical responses due to poroviscoelastic relaxation mechanisms, their effects on cartilage failure are important for assessing and preventing failure. This paper investigated rate- and integrity-dependent crack nucleation in cartilage from pre- to post-relaxation timescales. Rate-dependent crack nucleation and relaxation responses were obtained as a function of matrix integrity through microindentation. Total work for crack nucleation increased with decreased matrix integrity, and with decreased loading rates. Critical energy release rate of intact cartilage was estimated as 2.39 ± 1.39 to 2.48 ± 1.26 kJ m-2 in a pre-relaxation timescale. These findings showed that crack nucleation is delayed when cartilage can accommodate localized loading through poroviscoelastic relaxation mechanisms before fracture at a given loading rate and integrity state.
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Affiliation(s)
- G Han
- Department of Mechanical Engineering, University of Minnesota, 111 Church St SE, Minneapolis, MN, 55455, USA
| | - U Chowdhury
- Department of Mechanical Engineering, University of Wisconsin-Madison, 1513 University Ave., Madison, WI, 53706, USA
| | - M Eriten
- Department of Mechanical Engineering, University of Wisconsin-Madison, 1513 University Ave., Madison, WI, 53706, USA
| | - C R Henak
- Department of Mechanical Engineering, University of Wisconsin-Madison, 1513 University Ave., Madison, WI, 53706, USA.
- Department of Biomedical Engineering, University of Wisconsin-Madison, 1550 University Ave., Madison, WI, 53706, USA.
- Department of Orthopedics and Rehabilitation, University of Wisconsin-Madison, 1111 Highland Ave., Madison, WI, 53705, USA.
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Khan MIH, Patel N, Mahiuddin M, Karim M. Characterisation of mechanical properties of food materials during drying using nanoindentation. J FOOD ENG 2021. [DOI: 10.1016/j.jfoodeng.2020.110306] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
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25
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Wilmoth RL, Ferguson VL, Bryant SJ. A 3D, Dynamically Loaded Hydrogel Model of the Osteochondral Unit to Study Osteocyte Mechanobiology. Adv Healthc Mater 2020; 9:e2001226. [PMID: 33073541 PMCID: PMC7677224 DOI: 10.1002/adhm.202001226] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/14/2020] [Revised: 09/18/2020] [Indexed: 12/15/2022]
Abstract
Osteocytes are mechanosensitive cells that orchestrate signaling in bone and cartilage across the osteochondral unit. The mechanisms by which osteocytes regulate osteochondral homeostasis and degeneration in response to mechanical cues remain unclear. This study introduces a novel 3D hydrogel bilayer composite designed to support osteocyte differentiation and bone matrix deposition in a bone-like layer and to recapitulate key aspects of the osteochondral unit's complex loading environment. The bilayer hydrogel is fabricated with a soft cartilage-like layer overlaying a stiff bone-like layer. The bone-like layer contains a stiff 3D-printed hydrogel structure infilled with a soft, degradable, cellular hydrogel. The IDG-SW3 cells embedded within the soft hydrogel mature into osteocytes and produce a mineralized collagen matrix. Under dynamic compressive strains, near-physiological levels of strain are achieved in the bone layer (≤ 0.08%), while the cartilage layer bears the majority of the strains (>99%). Under loading, the model induces an osteocyte response, measured by prostaglandin E2, that is frequency, but not strain, dependent: a finding attributed to altered fluid flow within the composite. Overall, this new hydrogel platform provides a novel approach to study osteocyte mechanobiology in vitro in an osteochondral tissue-mimetic environment.
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Affiliation(s)
- Rachel L Wilmoth
- Department of Mechanical Engineering, University of Colorado Boulder, 1111 Engineering Drive, Boulder, CO, 80309-0427, USA
| | - Virginia L Ferguson
- Department of Mechanical Engineering, University of Colorado Boulder, 1111 Engineering Drive, Boulder, CO, 80309-0427, USA
- BioFrontiers Institute, University of Colorado Boulder, 3415 Colorado Ave, Boulder, CO, 80309-0596, USA
- Materials Science and Engineering, University of Colorado Boulder, 4001 Discovery Drive, Boulder, CO, 80309, USA
| | - Stephanie J Bryant
- BioFrontiers Institute, University of Colorado Boulder, 3415 Colorado Ave, Boulder, CO, 80309-0596, USA
- Materials Science and Engineering, University of Colorado Boulder, 4001 Discovery Drive, Boulder, CO, 80309, USA
- Department of Chemical and Biological Engineering, University of Colorado Boulder, 3415 Colorado Ave, Boulder, CO, 80309-0596, USA
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26
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Islam MR, Virag J, Oyen ML. Micromechanical poroelastic and viscoelastic properties of ex-vivo soft tissues. J Biomech 2020; 113:110090. [PMID: 33176223 DOI: 10.1016/j.jbiomech.2020.110090] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/01/2020] [Revised: 10/01/2020] [Accepted: 10/16/2020] [Indexed: 11/16/2022]
Abstract
Soft biological tissues demonstrate strong time-dependent mechanical behavior, arising from their intrinsic viscoelasticity and fluid flow-induced poroelasticity. It is increasingly recognized that time-dependent mechanical properties of soft tissues influence their physiological functions and are linked to several pathological processes. Nevertheless, soft tissue time-dependent characteristics, especially their micromechanical variation with tissue composition and location, remain poorly understood. Nanoindentation is a well-established technique to measure local elastic properties but has not been fully explored to determine micro-scale time-dependent properties of soft tissues. Here, a nanoindentation-based experimental strategy is implemented to characterize the micro-scale poroelastic and viscoelastic behavior of mouse heart, kidney, and liver tissues. It is demonstrated that heart tissue exhibits substantial mechanical heterogeneity where the elastic modulus varies spatially from 1 to 30 kPa. In contrast, both kidney and liver tissues show relatively homogeneous response with elastic modulus 0.5-3 kPa. All three tissues demonstrate marked load relaxation under constant indentation, where the relaxation behavior is observed to be largely dominated by tissue viscoelasticity. Intrinsic permeability varies among different tissues, where heart tissue is found to be less permeable compared to kidney and liver tissues. Overall, the results presented herein provide key insights into the time-dependent micromechanical behavior of different tissues and can therefore contribute to studies of tissue pathology and tissue engineering applications.
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Affiliation(s)
- Mohammad R Islam
- Department of Engineering, East Carolina University, Greenville, NC 27834, United States
| | - Jitka Virag
- Department of Physiology, Brody School of Medicine, East Carolina University, Greenville, NC 27834, United States
| | - Michelle L Oyen
- Department of Engineering, East Carolina University, Greenville, NC 27834, United States.
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27
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Human articular cartilage is orthotropic where microstructure, micromechanics, and chemistry vary with depth and split-line orientation. Osteoarthritis Cartilage 2020; 28:1362-1372. [PMID: 32645403 PMCID: PMC7697147 DOI: 10.1016/j.joca.2020.06.007] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 03/31/2020] [Revised: 06/25/2020] [Accepted: 06/27/2020] [Indexed: 02/02/2023]
Abstract
OBJECTIVE Quantitative, micrometer length scale assessment of human articular cartilage is essential to enable progress toward new functional tissue engineering approaches, including utilization of emerging 3D bioprinting technologies, and for improved computational modeling of the osteochondral unit. Thus the objective of this study was to characterize the structural organization, material properties, and chemical composition of human skeletally mature articular cartilage with respect to depth and defined morphological features: normal to the articulating surface, parallel to the split-line, and transverse to the split-line. METHOD Three samples from the lateral femoral condyles of 4 healthy adult donors (55-61 years old) were evaluated via histology, second harmonic generation, microindentation, and Raman spectroscopy. All metrics were evaluated as a function of depth and direction relative to the split-line. RESULTS All donors presented with intact and healthy tissue. Collagen fiber orientation varied significantly between testing directions and with increasing depth from the articular surface. Both compressive and tensile modulus increased significantly with depth and differed across the middle and deep zones and depended on orthogonal direction relative to the split-line. Similarly, matrix components varied with both depth and direction, where chondroitin sulfate steadily increased with depth while collagen prevalence was highest in the surface layer. CONCLUSIONS Microscale measurements of human articular cartilage demonstrate that properties are both depth-dependent and orthotropic and depend on the underlying tissue structure and composition. These findings improve upon existing knowledge establishing more accurate measurements, with greater degree of depth and spatial specificity, as inputs for tissue engineering and computational modeling.
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28
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Transient stiffening of cartilage during joint articulation: A microindentation study. J Mech Behav Biomed Mater 2020; 113:104113. [PMID: 33032010 DOI: 10.1016/j.jmbbm.2020.104113] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/30/2019] [Revised: 08/23/2020] [Accepted: 09/24/2020] [Indexed: 11/21/2022]
Abstract
As a mechanoactive tissue, articular cartilage undergoes compression and shear on a daily basis. With the advent of high resolution and sensitive mechanical testing methods, such as micro- and nanoindentation, it has become possible to assess changes in small-scale mechanical properties due to compression and shear of the tissue. However, investigations on the changes of these properties before and after joint articulation have been limited. To simulate articular loading of cartilage in the context of human gait, a previously developed bioreactor system was used. Immediately after bioreactor testing, the stiffness was measured using microindentation. Specifically, we investigated whether the mechanical response of the tissue was transient or permanent, dependent on counterface material, and an effect limited to the superficial zone of cartilage. We found that cartilage surface stiffness increases immediately after articular loading and returns to baseline values within 3 hr. Cartilage-on-cartilage stiffening was found to be higher compared to both alumina- and cobalt chromium-on-cartilage stiffening, which were not significantly different from each other. This stiffening response was found to be unique to the superficial zone, as articular loading on cartilage with the superficial zone removed showed no changes in stiffness. The findings of this study suggest that the cartilage superficial zone may adapt its stiffness as a response to articular loading. As the superficial zone is often compromised during the course of osteoarthritic disease, this finding is of clinical relevance, suggesting that the load-bearing function deteriorates over time.
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29
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Han G, Boz U, Eriten M, Henak CR. Glycosaminoglycan depletion increases energy dissipation in articular cartilage under high-frequency loading. J Mech Behav Biomed Mater 2020; 110:103876. [PMID: 32957186 DOI: 10.1016/j.jmbbm.2020.103876] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/30/2019] [Revised: 05/06/2020] [Accepted: 05/19/2020] [Indexed: 11/16/2022]
Abstract
High-frequency material behavior of cartilage at macroscopic lengths is not widely understood, despite a wide range of frequencies and contact lengths experienced in vivo. For example, cartilage at different stages of matrix integrity can experience high-frequency loading during traumatic impact, making high-frequency behavior relevant in the context of structural failure. Therefore, this study examined macroscopic dissipative and mechanical responses of intact and glycosaminoglycan (GAG)-depleted cartilage under previously unexplored high-frequency loading. These dynamic responses were complemented with the evaluation of quasi-static responses. A custom dynamic mechanical analyzer was used to obtain dynamic behavior, and stress relaxation testing was performed to obtain quasi-static behavior. Under high-frequency loading, cartilage energy dissipation increased with GAG depletion and decreased with strain; dynamic modulus exhibited opposite trends. Similarly, under quasi-static loading, equilibrium modulus and relaxation time of cartilage decreased with GAG depletion. The increased energy dissipation after GAG depletion under high-frequency loading was likely due to increased viscoelastic dissipation. These findings broaden our understanding of fundamental properties of cartilage as a function of solid matrix integrity in an unprecedented loading regime. They also provide a foundation for analyzing energy dissipation associated with cartilage failure induced by traumatic impact.
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Affiliation(s)
- Guebum Han
- Department of Mechanical Engineering, University of Wisconsin-Madison, 1513 University Ave., Madison, WI, 53706, USA.
| | - Utku Boz
- Department of Mechanical Engineering, University of Wisconsin-Madison, 1513 University Ave., Madison, WI, 53706, USA.
| | - Melih Eriten
- Department of Mechanical Engineering, University of Wisconsin-Madison, 1513 University Ave., Madison, WI, 53706, USA.
| | - Corinne R Henak
- Department of Mechanical Engineering, University of Wisconsin-Madison, 1513 University Ave., Madison, WI, 53706, USA; Department of Biomedical Engineering, University of Wisconsin-Madison, 1550 University Ave., Madison, WI, 53706, USA; Department of Orthopedics and Rehabilitation, University of Wisconsin-Madison, 1111 Highland Ave., Madison, WI, 53705, USA.
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30
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Chang A, Tang SY. Determination of the Depth- and Time- Dependent Mechanical Behavior of Mouse Articular Cartilage Using Cyclic Reference Point Indentation. Cartilage 2020; 11:358-363. [PMID: 30019597 PMCID: PMC7298594 DOI: 10.1177/1947603518786554] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 02/06/2023] Open
Abstract
Mouse models of osteoarthritis and cartilage degeneration are important and powerful tools for investigating the molecular mechanisms of the disease pathology. Because of the vast number of genetically modified mouse models that are available for research, the ability to use these models is particularly attractive for the mechanobiologic interactions in the pathogenesis of osteoarthritis. However, the very small scale of mouse articular cartilage, where the healthy tissue is only 80 µm in thickness, poses challenges in quantifying mechanical characteristics of the tissue. We introduce here a novel approach that combines experimental and analytical methods to quantify the nuanced mechanical changes during cartilage degeneration at this scale. Cyclic reference point indentation is used to directly test the murine articular cartilage to obtain the force-deformation and the phase-shift characteristics of the tissue. The cartilage zonal thicknesses are confirmed from histology. These data are then fitted to a parallel spring model to determine the depth-dependent tissue stiffness and modulus. Using this approach, we investigated the effects of trypsin degradation on the zonal mechanical behavior of mouse articular cartilage. We observe a decline of the superficial zone stiffness coupled with the loss of the superficial layer. Subsequent degradation by trypsin allowed the identification of middle- and deep- zone properties. Taken together, this approach can be a useful tool for understanding the disease mechanisms of cartilage homeostasis and degeneration, and for monitoring of therapies for osteoarthritis.
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Affiliation(s)
- Andrew Chang
- Department of Mechanical
Engineering and Materials Science, Washington University in St. Louis, St.
Louis, MO, USA
| | - Simon Y. Tang
- Department of Mechanical
Engineering and Materials Science, Washington University in St. Louis, St.
Louis, MO, USA,Department of Biomedical
Engineering, Washington University in St. Louis, St. Louis, MO, USA,Department of Orthopaedic Surgery,
Washington University in St. Louis, St. Louis, MO, USA,Simon Y. Tang, Department of
Orthopaedic Surgery, Washington University in St. Louis, 660 South
Euclid Avenue, Box 8233, St. Louis, MO 63110, USA.
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31
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WANG MONAN, JI YUANXIN, WANG JIAN, JING JUNTONG. FINITE ELEMENT ANALYSIS OF FULL-LAYER REPAIR BASED ON IMPROVED ARTICULAR CARTILAGE MODEL. J MECH MED BIOL 2019. [DOI: 10.1142/s0219519419400669] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
In this paper, the tangential zone of cartilage is introduced into the fiber-reinforced model of articular cartilage. Considering the distribution content of the main fiber and the secondary fiber in the tangential layer of cartilage, the permeability and fiber stiffness of the layer are set in parallel and perpendicular directions, respectively, to more accurately reflect the mechanical behavior of cartilage. The parameters are set to reflect the mechanical behavior of the cartilage more realistically. We use a modified articular cartilage model to simulate the mechanical properties of implanted cartilage with different elastic modulus. The simulation results show that the selection of implants with different elastic modulus will affect the repair of cartilage. Appropriately increasing the elastic modulus of implanted cartilage, can increase the bearing capacity of the repaired area and reduce the stress concentration at the junction. The elastic modulus of the implant should be moderate, not too large or too small, and the damage of stress concentration on the repair surface should be considered. Through simulation, the mechanical state of the repaired cartilage under pressure can be obtained comprehensively, which provides a theoretical basis for clinical pathology.
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Affiliation(s)
- MONAN WANG
- Digital Medicine Institute, Harbin University of Science and Technology, Harbin 150080, P. R. China
| | - YUANXIN JI
- Digital Medicine Institute, Harbin University of Science and Technology, Harbin 150080, P. R. China
| | - JIAN WANG
- Digital Medicine Institute, Harbin University of Science and Technology, Harbin 150080, P. R. China
| | - JUNTONG JING
- College of Letter and Science, University of California, Santa Barbara, California 93107, United States
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32
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Argote PF, Kaplan JT, Poon A, Xu X, Cai L, Emery NC, Pierce DM, Neu CP. Chondrocyte viability is lost during high-rate impact loading by transfer of amplified strain, but not stress, to pericellular and cellular regions. Osteoarthritis Cartilage 2019; 27:1822-1830. [PMID: 31526876 PMCID: PMC7028439 DOI: 10.1016/j.joca.2019.07.018] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 01/30/2019] [Revised: 07/29/2019] [Accepted: 07/31/2019] [Indexed: 02/02/2023]
Abstract
OBJECTIVE Deleterious impact loading to cartilage initiates post-traumatic osteoarthritis (OA). While cytokine and enzyme levels regulate disease progression, specific mechanical cues that elucidate cellular OA origins merit further investigation. We defined the dominant pericellular and cellular strain/stress transfer mechanisms following bulk-tissue injury associated with cell death. METHOD Using an in vitro model, we investigated rate-dependent loading and spatial localization of cell viability in acute indentation and time-course studies. Atomic force microscopy (AFM) and magnetic resonance imaging (MRI) confirmed depth-wise changes in cartilage micro-/macro-mechanics and structure post-indentation. To understand the transfer of loading to cartilage domains, we computationally modeled full-field strain and stress measures in interstitial matrix, pericellular and cellular regions. RESULTS Chondrocyte viability decreased following rapid impact (80%/s) vs slow loading (0.1%/s) or unloaded controls. Viability was lost immediately during impact within regions near the indenter-tissue contact but did not change over 7 days of tissue culture. AFM studies revealed a loss of stiffness following 80%/s loading, and MRI studies confirmed an increased tensile and shear strain, but not relaxometry. Image-based patterns of chondrocyte viability closely matched computational estimates of amplified maximum principal and shear strain in interstitial matrix, pericellular and cellular regions. CONCLUSION Rapid indentation worsens chondrocyte death and degrades cartilage matrix stiffness in indentation regions. Cell death at high strain rates may be driven by elevated tensile strains, but not matrix stress. Strain amplification beyond critical thresholds in the pericellular matrix and cells may define a point of origin for early damage in post-traumatic OA.
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Affiliation(s)
- Pablo F. Argote
- Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA
| | - Jonathan T. Kaplan
- Department of Biomedical Engineering, University of Connecticut, Storrs, CT, USA,Biomechanics Research and Engineering, Natick Soldier RD&E Center, Natick, MA, USA
| | - Alan Poon
- Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA
| | - Xin Xu
- Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA,Department of Mechanical Engineering, University of Colorado, Boulder, CO, USA
| | - Luyao Cai
- Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA
| | - Nancy C. Emery
- Department of Ecology and Evolutionary Biology, University of Colorado, Boulder, CO, USA
| | - David M. Pierce
- Department of Biomedical Engineering, University of Connecticut, Storrs, CT, USA,Department of Mechanical Engineering, University of Connecticut, Storrs, CT, USA,Corresponding Authors: Corey P. Neu, Tel: (303) 492-7330, , and David M. Pierce, Tel: (860) 486-5088,
| | - Corey P. Neu
- Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA,Department of Mechanical Engineering, University of Colorado, Boulder, CO, USA,Corresponding Authors: Corey P. Neu, Tel: (303) 492-7330, , and David M. Pierce, Tel: (860) 486-5088,
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Mieloch AA, Richter M, Trzeciak T, Giersig M, Rybka JD. Osteoarthritis Severely Decreases the Elasticity and Hardness of Knee Joint Cartilage: A Nanoindentation Study. J Clin Med 2019; 8:jcm8111865. [PMID: 31684201 PMCID: PMC6912408 DOI: 10.3390/jcm8111865] [Citation(s) in RCA: 21] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/16/2019] [Revised: 10/30/2019] [Accepted: 11/01/2019] [Indexed: 01/19/2023] Open
Abstract
The nanoindentation method was applied to determine the elastic modulus and hardness of knee articular cartilage. Cartilage samples from both high weight bearing (HWB) and low weight bearing (LWB) femoral condyles were collected from patients diagnosed with osteoarthritis (OA). The mean elastic modulus of HWB cartilage was 4.46 ± 4.44 MPa in comparison to that of the LWB region (9.81 ± 8.88 MPa, p < 0.001). Similarly, the hardness was significantly lower in HWB tissue (0.317 ± 0.397 MPa) than in LWB cartilage (0.455 ± 0.434 MPa, p < 0.001). When adjusted to patients’ ages, the mean elastic modulus and hardness were both significantly lower in the age group over 70 years (p < 0.001). A statistically significant difference in mechanical parameters was also found in grade 3 and 4 OA. This study provides an insight into the nanomechanical properties of the knee articular cartilage and provides a starting point for personalized cartilage grafts that are compatible with the mechanical properties of the native tissue.
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Affiliation(s)
- Adam Aron Mieloch
- Center for Advanced Technology, Adam Mickiewicz University in Poznan, Uniwersytetu Poznańskiego 10 Street, 61-614 Poznan, Poland.
- Faculty of Chemistry, Adam Mickiewicz University in Poznan, Uniwersytetu Poznańskiego 8 Street, 61-614 Poznan, Poland.
| | - Magdalena Richter
- Center for Advanced Technology, Adam Mickiewicz University in Poznan, Uniwersytetu Poznańskiego 10 Street, 61-614 Poznan, Poland.
| | - Tomasz Trzeciak
- Department of Orthopedics and Traumatology, Poznan University of Medical Sciences, 28 czerwca 1956r. Street No. 135/147, 61-545 Poznan, Poland.
| | - Michael Giersig
- Center for Advanced Technology, Adam Mickiewicz University in Poznan, Uniwersytetu Poznańskiego 10 Street, 61-614 Poznan, Poland.
- Department of Physics, Institute of Experimental Physics, Freie Universität, Arnimallee 14, 14195 Berlin, Germany.
| | - Jakub Dalibor Rybka
- Center for Advanced Technology, Adam Mickiewicz University in Poznan, Uniwersytetu Poznańskiego 10 Street, 61-614 Poznan, Poland.
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Viscoelasticity in natural tissues and engineered scaffolds for tissue reconstruction. Acta Biomater 2019; 97:74-92. [PMID: 31400521 DOI: 10.1016/j.actbio.2019.08.013] [Citation(s) in RCA: 72] [Impact Index Per Article: 14.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/10/2019] [Revised: 07/23/2019] [Accepted: 08/06/2019] [Indexed: 02/05/2023]
Abstract
Viscoelasticity of living tissues plays a critical role in tissue homeostasis and regeneration, and its implication in disease development and progression is being recognized recently. In this review, we first explored the state of knowledge regarding the potential application of tissue viscoelasticity in disease diagnosis. In order to better characterize viscoelasticity with local resolution and non-invasiveness, emerging characterization methods have been developed with the potential to be supplemented to existing facilities. To understand cellular responses to matrix viscoelastic behaviors in vitro, hydrogels made of natural polymers have been developed and the relationships between their molecular structure and viscoelastic behaviors, are elucidated. Moreover, how cells perceive the viscoelastic microenvironment and cellular responses including cell attachment, spreading, proliferation, differentiation and matrix production, have been discussed. Finally, some future perspective on an integrated mechanobiological comprehension of the viscoelastic behaviors involved in tissue homeostasis, cellular responses and biomaterial design are highlighted. STATEMENT OF SIGNIFICANCE: Tissue- or organ-scale viscoelastic behavior is critical for homeostasis, and the molecular basis and cellular responses of viscoelastic materials at micro- or nano-scale are being recognized recently. We summarized the potential applications of viscoelasticity in disease diagnosis enabled by emerging non-invasive characterization technologies, and discussed the underlying mechanism of viscoelasticity of hydrogels and current understandings of cell regulatory functions of them. With a growing understanding of the molecular basis of hydrogel viscoelasticity and recognition of its regulatory functions on cell behaviors, it is important to bring the clinical insights on how these characterization technologies and engineered materials may contribute to disease diagnosis and treatment. This review explains the basics in characterizing viscoelasticity with our hope to bridge the gap between basic research and clinical applications.
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Riemenschneider PE, Rose MD, Giordani M, McNary SM. Compressive fatigue and endurance of juvenile bovine articular cartilage explants. J Biomech 2019; 95:109304. [DOI: 10.1016/j.jbiomech.2019.07.048] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/22/2019] [Revised: 07/31/2019] [Accepted: 07/31/2019] [Indexed: 11/24/2022]
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36
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Lycke RJ, Walls MK, Calve S. Computational Modeling of Developing Cartilage Using Experimentally Derived Geometries and Compressive Moduli. J Biomech Eng 2019; 141:081002. [PMID: 30874718 PMCID: PMC6528734 DOI: 10.1115/1.4043208] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/29/2018] [Revised: 03/06/2019] [Indexed: 12/22/2022]
Abstract
During chondrogenesis, tissue organization changes dramatically. We previously showed that the compressive moduli of chondrocytes increase concomitantly with extracellular matrix (ECM) stiffness, suggesting cells were remodeling to adapt to the surrounding environment. Due to the difficulty in analyzing the mechanical response of cells in situ, we sought to create an in silico model that would enable us to investigate why cell and ECM stiffness increased in tandem. The goal of this study was to establish a methodology to segment, quantify, and generate mechanical models of developing cartilage to explore how variations in geometry and material properties affect strain distributions. Multicellular geometries from embryonic day E16.5 and postnatal day P3 murine cartilage were imaged in three-dimensional (3D) using confocal microscopy. Image stacks were processed using matlab to create geometries for finite element analysis using ANSYS. The geometries based on confocal images and isolated, single cell models were compressed 5% and the equivalent von Mises strain of cells and ECM were compared. Our simulations indicated that cells had similar strains at both time points, suggesting that the stiffness and organization of cartilage changes during development to maintain a constant strain profile within cells. In contrast, the ECM at P3 took on more strain than at E16.5. The isolated, single-cell geometries underestimated both cell and ECM strain and were not able to capture the similarity in cell strain at both time points. We expect this experimental and computational pipeline will facilitate studies investigating other model systems to implement physiologically derived geometries.
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Affiliation(s)
- Roy J Lycke
- Weldon School of Biomedical Engineering,Purdue University,206 South Martin Jischke Drive,West Lafayette, IN 47907e-mail:
| | - Michael K Walls
- Weldon School of Biomedical Engineering,Purdue University,206 South Martin Jischke Drive,West Lafayette, IN 47907e-mail:
| | - Sarah Calve
- Weldon School of Biomedical Engineering,Purdue University,206 South Martin Jischke Drive,West Lafayette, IN 47907e-mail:
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Han G, Eriten M, Henak CR. Rate-dependent crack nucleation in cartilage under microindentation. J Mech Behav Biomed Mater 2019; 96:186-192. [PMID: 31054513 DOI: 10.1016/j.jmbbm.2019.04.015] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/17/2018] [Revised: 01/31/2019] [Accepted: 04/11/2019] [Indexed: 11/18/2022]
Abstract
This study investigates rate-dependent crack nucleation in cartilage under microindentation using a poroviscoelastic framework and nano/microscopic images. Localized crack failure was induced at known locations and at different loading rates via microindentation with an axisymmetric sphero-conical indenter. Finite element (FE) modeling was used to reproduce results of microindentation tests within a poroviscoelastic framework. Scanning electron microscopy (SEM) was used to examine nano- and microscale structural features of crack surfaces. Microindentation results showed rate-dependent crack nucleation in cartilage. In particular, critical total work required for crack nucleation was larger at the slow loading rate compared to the fast loading rate. FE results suggested that viscoelastic relaxation of cartilage was a major contributor to the rate dependency and that tensile stresses localized at the indenter tip was a governing factor in crack nucleation. SEM images combined with microindentation and FE results suggested that the solid matrix in the vicinity of the tip experienced relatively large relaxation and kinematic fiber rearrangement at the slow loading rate in comparison to the fast loading rate. These findings extend current understanding of rate-dependent failure mechanisms in cartilage.
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Affiliation(s)
- Guebum Han
- Department of Mechanical Engineering, University of Wisconsin-Madison, 1513 University Ave, Madison, WI, 53706, USA.
| | - Melih Eriten
- Department of Mechanical Engineering, University of Wisconsin-Madison, 1513 University Ave, Madison, WI, 53706, USA.
| | - Corinne R Henak
- Department of Mechanical Engineering, University of Wisconsin-Madison, 1513 University Ave, Madison, WI, 53706, USA; Department of Biomedical Engineering, University of Wisconsin-Madison, 1550 University Ave, Madison, WI, 53706, USA.
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Qian L, Zhao H. Nanoindentation of Soft Biological Materials. MICROMACHINES 2018; 9:E654. [PMID: 30544918 PMCID: PMC6316095 DOI: 10.3390/mi9120654] [Citation(s) in RCA: 60] [Impact Index Per Article: 10.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 10/29/2018] [Revised: 11/27/2018] [Accepted: 12/05/2018] [Indexed: 01/01/2023]
Abstract
Nanoindentation techniques, with high spatial resolution and force sensitivity, have recently been moved into the center of the spotlight for measuring the mechanical properties of biomaterials, especially bridging the scales from the molecular via the cellular and tissue all the way to the organ level, whereas characterizing soft biomaterials, especially down to biomolecules, is fraught with more pitfalls compared with the hard biomaterials. In this review we detail the constitutive behavior of soft biomaterials under nanoindentation (including AFM) and present the characteristics of experimental aspects in detail, such as the adaption of instrumentation and indentation response of soft biomaterials. We further show some applications, and discuss the challenges and perspectives related to nanoindentation of soft biomaterials, a technique that can pinpoint the mechanical properties of soft biomaterials for the scale-span is far-reaching for understanding biomechanics and mechanobiology.
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Affiliation(s)
- Long Qian
- School of Mechanical and Aerospace Engineering, Jilin University, Changchun 130025, China.
| | - Hongwei Zhao
- School of Mechanical and Aerospace Engineering, Jilin University, Changchun 130025, China.
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Killgore JP, DelRio FW. Contact Resonance Force Microscopy for Viscoelastic Property Measurements: From Fundamentals to State-of-the-Art Applications. Macromolecules 2018. [DOI: 10.1021/acs.macromol.8b01178] [Citation(s) in RCA: 30] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Affiliation(s)
- Jason P. Killgore
- Applied Chemicals and Materials Division, Material Measurement Laboratory, National Institute of Standards and Technology, Boulder, Colorado 80305, United States
| | - Frank W. DelRio
- Applied Chemicals and Materials Division, Material Measurement Laboratory, National Institute of Standards and Technology, Boulder, Colorado 80305, United States
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Atamanuk K, Luria J, Huey BD. Direct AFM-based nanoscale mapping and tomography of open-circuit voltages for photovoltaics. BEILSTEIN JOURNAL OF NANOTECHNOLOGY 2018; 9:1802-1808. [PMID: 29977713 PMCID: PMC6009312 DOI: 10.3762/bjnano.9.171] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 01/06/2018] [Accepted: 05/25/2018] [Indexed: 06/08/2023]
Abstract
The nanoscale optoelectronic properties of materials can be especially important for polycrystalline photovoltaics including many sensor and solar cell designs. For thin film solar cells such as CdTe, the open-circuit voltage and short-circuit current are especially critical performance indicators, often varying between and even within individual grains. A new method for directly mapping the open-circuit voltage leverages photo-conducting AFM, along with an additional proportional-integral-derivative feedback loop configured to maintain open-circuit conditions while scanning. Alternating with short-circuit current mapping efficiently provides complementary insight into the highly microstructurally sensitive local and ensemble photovoltaic performance. Furthermore, direct open-circuit voltage mapping is compatible with tomographic AFM, which additionally leverages gradual nanoscale milling by the AFM probe essentially for serial sectioning. The two-dimensional and three-dimensional results for CdTe solar cells during in situ illumination reveal local to mesoscale contributions to PV performance based on the order of magnitude variations in photovoltaic properties with distinct grains, at grain boundaries, and for sub-granular planar defects.
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Affiliation(s)
- Katherine Atamanuk
- University of Connecticut, Dept. of Materials Science and Engineering, Storrs, Connecticut 06269, USA
| | - Justin Luria
- University of Connecticut, Dept. of Materials Science and Engineering, Storrs, Connecticut 06269, USA
| | - Bryan D Huey
- University of Connecticut, Dept. of Materials Science and Engineering, Storrs, Connecticut 06269, USA
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