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Klahr B, Lanzendorf JZ, Thiesen JLM, Pinto OT, Müller LG, Carniel TA, Fancello EA. On the contribution of solid and fluid behavior to the modeling of the time-dependent mechanics of tendons under semi-confined compression. J Mech Behav Biomed Mater 2023; 148:106220. [PMID: 37944227 DOI: 10.1016/j.jmbbm.2023.106220] [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: 05/16/2023] [Revised: 10/10/2023] [Accepted: 10/31/2023] [Indexed: 11/12/2023]
Abstract
The present work aims to investigate whether it is possible to identify and quantify the contributions of the interstitial fluid and the solid skeleton to the overall time-dependent behavior of tendons based on a single mechanical test. For this purpose, the capabilities of three different time-dependent models (a viscoelastic, a poroelastic and a poroviscoelastic) were investigated in the modeling of the experimental behavior obtained from semi-confined compression with stress relaxation tests transverse to collagen fibers. The main achieved result points out that the poroviscoelastic model was the only one capable to characterize both the experimental responses of the force and volume changes of the tissue samples. Moreover, further analysis of this model shows that while the kinematics of the sample are mainly governed by the fluid flow (pore pressure contribution of the model), the behavior intrinsically associated with the viscoelastic solid skeleton makes a significant contribution to the experimental force response. This study reinforces the importance of taking both the experimental kinematics and kinetics of tendon tissues into account during the constitutive characterization procedure.
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Affiliation(s)
- Bruno Klahr
- Department of Mechanical Engineering, Federal University of Santa Catarina, Florianópolis, Santa Catarina, Brazil
| | - Jonas Zin Lanzendorf
- Department of Mechanical Engineering, Federal University of Santa Catarina, Florianópolis, Santa Catarina, Brazil
| | - José Luís Medeiros Thiesen
- Department of Mechanical Engineering, Federal University of Santa Catarina, Florianópolis, Santa Catarina, Brazil
| | - Otávio Teixeira Pinto
- Department of Mechanical Engineering, Federal University of Santa Catarina, Florianópolis, Santa Catarina, Brazil
| | - Liz Girardi Müller
- Graduate Program in Environmental Sciences, Community University of Chapecó Region, Chapecó, Santa Catarina, Brazil
| | - Thiago André Carniel
- Graduate Program in Health Sciences, Community University of Chapecó Region, Chapecó, Santa Catarina, Brazil; Polytechnic School, Community University of Chapecó Region, Chapecó, Santa Catarina, Brazil.
| | - Eduardo Alberto Fancello
- Department of Mechanical Engineering, Federal University of Santa Catarina, Florianópolis, Santa Catarina, Brazil; University Hospital, Federal University of Santa Catarina, Florianópolis, Santa Catarina, Brazil
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2
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Pringels L, Cook JL, Witvrouw E, Burssens A, Vanden Bossche L, Wezenbeek E. Exploring the role of intratendinous pressure in the pathogenesis of tendon pathology: a narrative review and conceptual framework. Br J Sports Med 2023; 57:1042-1048. [PMID: 36323498 PMCID: PMC10423488 DOI: 10.1136/bjsports-2022-106066] [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] [Accepted: 10/13/2022] [Indexed: 02/07/2023]
Abstract
Despite the high prevalence of tendon pathology in athletes, the underlying pathogenesis is still poorly understood. Various aetiological theories have been presented and rejected in the past, but the tendon cell response model still holds true. This model describes how the tendon cell is the key regulator of the extracellular matrix and how pathology is induced by a failed adaptation to a disturbance of tissue homeostasis. Such failure has been attributed to various kinds of stressors (eg, mechanical, thermal and ischaemic), but crucial elements seem to be missing to fully understand the pathogenesis. Importantly, a disturbance of tissue pressure homeostasis has not yet been considered a possible factor, despite it being associated with numerous pathologies. Therefore, we conducted an extensive narrative literature review on the possible role of intratendinous pressure in the pathogenesis of tendon pathology. This review explores the current understanding of pressure dynamics and the role of tissue pressure in the pathogenesis of other disorders with structural similarities to tendons. By bridging these insights with known structural changes that occur in tendon pathology, a conceptual model was constituted. This model provides an overview of the possible mechanism of how an increase in intratendinous pressure might be involved in the development and progression of tendon pathology and contribute to tendon pain. In addition, some therapies that could reduce intratendinous pressure and accelerate tendon healing are proposed. Further experimental research is encouraged to investigate our hypotheses and to initiate debate on the relevance of intratendinous pressure in tendon pathology.
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Affiliation(s)
- Lauren Pringels
- Department of Physical and Rehabilitation Medicine, Ghent University Hospital, Ghent, Belgium
- Department of Rehabilitation Sciences and Physiotherapy, Ghent University, Ghent, Belgium
| | - Jill L Cook
- La Trobe Sport and Exercise Medicine Research Centre, La Trobe University, Melbourne, Victoria, Australia
| | - Erik Witvrouw
- Department of Rehabilitation Sciences and Physiotherapy, Ghent University, Ghent, Belgium
| | - Arne Burssens
- Department of Orthopaedic Surgery, Ghent University Hospital, Ghent, Belgium
| | - Luc Vanden Bossche
- Department of Physical and Rehabilitation Medicine, Ghent University Hospital, Ghent, Belgium
- Department of Rehabilitation Sciences and Physiotherapy, Ghent University, Ghent, Belgium
| | - Evi Wezenbeek
- Department of Rehabilitation Sciences and Physiotherapy, Ghent University, Ghent, Belgium
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3
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Orozco GA, Ristaniemi A, Haghighatnejad M, Mohammadi A, Finnilä MAJ, Saarakkala S, Herzog W, Isaksson H, Korhonen RK. Adaptation of Fibril-Reinforced Poroviscoelastic Properties in Rabbit Collateral Ligaments 8 Weeks After Anterior Cruciate Ligament Transection. Ann Biomed Eng 2023; 51:726-740. [PMID: 36129552 PMCID: PMC10023629 DOI: 10.1007/s10439-022-03081-1] [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: 03/21/2022] [Accepted: 09/07/2022] [Indexed: 11/30/2022]
Abstract
Ligaments of the knee provide stability and prevent excessive motions of the joint. Rupture of the anterior cruciate ligament (ACL), a common sports injury, results in an altered loading environment for other tissues in the joint, likely leading to their mechanical adaptation. In the collateral ligaments, the patterns and mechanisms of biomechanical adaptation following ACL transection (ACLT) remain unknown. We aimed to characterize the adaptation of elastic and viscoelastic properties of the lateral and medial collateral ligaments eight weeks after ACLT. Unilateral ACLT was performed in six rabbits, and collateral ligaments were harvested from transected and contralateral knee joints after eight weeks, and from an intact control group (eight knees from four animals). The cross-sectional areas were measured with micro-computed tomography. Stepwise tensile stress-relaxation testing was conducted up to 6% final strain, and the elastic and viscoelastic properties were characterized with a fibril-reinforced poroviscoelastic material model. We found that the cross-sectional area of the collateral ligaments in the ACL transected knees increased, the nonlinear elastic collagen network modulus of the LCL decreased, and the amount of fast relaxation in the MCL decreased. Our results indicate that rupture of the ACL leads to an early adaptation of the elastic and viscoelastic properties of the collagen fibrillar network in the collateral ligaments. These adaptations may be important to consider when evaluating whole knee joint mechanics after ACL rupture, and the results aid in understanding the consequences of ACL rupture on other tissues.
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Affiliation(s)
- Gustavo A Orozco
- Department of Applied Physics, University of Eastern Finland, Yliopistonranta 1, 70210, Kuopio, Finland.
- Department of Biomedical Engineering, Lund University, Box 188, 221 00, Lund, Sweden.
| | - Aapo Ristaniemi
- Department of Applied Physics, University of Eastern Finland, Yliopistonranta 1, 70210, Kuopio, Finland
- AO Research Institute Davos, Davos, Switzerland
| | - Mehrnoush Haghighatnejad
- Department of Applied Physics, University of Eastern Finland, Yliopistonranta 1, 70210, Kuopio, Finland
| | - Ali Mohammadi
- Department of Applied Physics, University of Eastern Finland, Yliopistonranta 1, 70210, Kuopio, Finland
| | - Mikko A J Finnilä
- Research Unit of Medical Imaging, Physics and Technology, University of Oulu, Oulu, Finland
| | - Simo Saarakkala
- Research Unit of Medical Imaging, Physics and Technology, University of Oulu, Oulu, Finland
- Department of Diagnostic Radiology, Oulu University Hospital, Oulu, Finland
| | - Walter Herzog
- Human Performance Laboratory, Faculty of Kinesiology, University of Calgary, Calgary, Canada
| | - Hanna Isaksson
- Department of Biomedical Engineering, Lund University, Box 188, 221 00, Lund, Sweden
| | - Rami K Korhonen
- Department of Applied Physics, University of Eastern Finland, Yliopistonranta 1, 70210, Kuopio, Finland
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4
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Ristaniemi A, Regmi D, Mondal D, Torniainen J, Tanska P, Stenroth L, Finnilä MAJ, Töyräs J, Korhonen RK. Structure, composition and fibril-reinforced poroviscoelastic properties of bovine knee ligaments and patellar tendon. J R Soc Interface 2021; 18:20200737. [PMID: 33499766 DOI: 10.1098/rsif.2020.0737] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
Tissue-level stress-relaxation of ligaments and tendons in the toe region is characterized by fast and long-term relaxations and an increase in relaxation magnitude with strain. Characterizing the compositional and structural origins of these phenomena helps in the understanding of mechanisms of ligament and tendon function and adaptation in health and disease. A three-step tensile stress-relaxation test was conducted on dumbbell-shaped pieces of bovine knee ligaments and patellar tendon (PT) (n = 10 knees). Their mechanical behaviour was characterized by a fibril-reinforced poroviscoelastic material model, able to describe characteristic times and magnitudes of fast and long-term relaxations. The crimp angle and length of tissues were measured with polarized light microscopy, while biochemical contents were determined by colorimetric biochemical methods. The long-term relaxation time was longer in the anterior cruciate ligament (ACL) and PT compared with collateral ligaments (p < 0.05). High hydroxyproline content predicted greater magnitude and shorter time of both fast and long-term relaxation. High uronic acid content predicted longer time of long-term relaxation, whereas high crimp angle predicted higher magnitude of long-term relaxation. ACL and PT are better long-term stabilizers than collateral ligaments. The long-term relaxation behaviour is affected or implied by proteoglycans and crimp angle, possibly relating to slow structural reorganization of the tissue.
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Affiliation(s)
- Aapo Ristaniemi
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
| | - Dristi Regmi
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
| | - Diponkor Mondal
- Research Unit of Medical Imaging, Physics and Technology, University of Oulu, Oulu, Finland
| | - Jari Torniainen
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland.,Diagnostic Imaging Center, Kuopio University Hospital, Kuopio, Finland
| | - Petri Tanska
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
| | - Lauri Stenroth
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
| | - Mikko A J Finnilä
- Research Unit of Medical Imaging, Physics and Technology, University of Oulu, Oulu, Finland
| | - Juha Töyräs
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland.,Diagnostic Imaging Center, Kuopio University Hospital, Kuopio, Finland.,School of Information Technology and Electrical Engineering, The University of Queensland, Brisbane, Australia
| | - Rami K Korhonen
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
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5
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Ristaniemi A, Tanska P, Stenroth L, Finnilä MAJ, Korhonen RK. Comparison of material models for anterior cruciate ligament in tension: from poroelastic to a novel fibril-reinforced nonlinear composite model. J Biomech 2020; 114:110141. [PMID: 33302181 DOI: 10.1016/j.jbiomech.2020.110141] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/04/2020] [Revised: 11/05/2020] [Accepted: 11/12/2020] [Indexed: 12/15/2022]
Abstract
Computational models of the knee joint are useful for evaluating stresses and strains within the joint tissues. However, the outcome of those models is sensitive to the material model and material properties chosen for ligaments, the collagen reinforced tissues connecting bone to bone. The purpose of this study was to investigate different compositionally motivated material models and further to develop a model that can accurately reproduce experimentally measured stress-relaxation data of bovine anterior cruciate ligament (ACL). Tensile testing samples were extracted from ACLs of bovine knee joints (N = 10) and subjected to a three-step stress-relaxation test at the toe region. Data from the experiments was averaged and one average finite element model was generated to replicate the experiment. Poroelastic and different fibril-reinforced poro(visco)elastic material models were applied, and their material parameters were optimized to reproduce the experimental force-time response. Material models with only fluid flow mediated relaxation were not able to capture the stress-relaxation behavior (R2 = 0.806, 0.803 and 0.938). The inclusion of the viscoelasticity of the fibrillar network improved the model prediction (R2 = 0.978 and 0.976), but the complex stress-relaxation behavior was best captured by a poroelastic model with a nonlinear two-relaxation-time strain-recruited viscoelastic fibrillar network (R2 = 0.997). The results suggest that in order to replicate the multi-step stress-relaxation behavior of ACL in tension, the fibrillar network formulation should include the complex nonlinear viscoelastic phenomena.
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Affiliation(s)
- A Ristaniemi
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland.
| | - P Tanska
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
| | - L Stenroth
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
| | - M A J Finnilä
- Research Unit of Medical Imaging, Physics and Technology, University of Oulu, Oulu, Finland
| | - R K Korhonen
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
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6
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Safa BN, Bloom ET, Lee AH, Santare MH, Elliott DM. Evaluation of transverse poroelastic mechanics of tendon using osmotic loading and biphasic mixture finite element modeling. J Biomech 2020; 109:109892. [PMID: 32807341 DOI: 10.1016/j.jbiomech.2020.109892] [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: 12/04/2019] [Revised: 05/15/2020] [Accepted: 06/09/2020] [Indexed: 12/14/2022]
Abstract
Tendon's viscoelastic behaviors are important to the tissue mechanical function and cellular mechanobiology. When loaded in longitudinal tension, tendons often have a large Poisson's ratio (ν>2) that exceeds the limit of incompressibility for isotropic material (ν=0.5), indicating that tendon experiences volume loss, inducing poroelastic fluid exudation in the transverse direction. Therefore, transverse poroelasticity is an important contributor to tendon material behavior. Tendon hydraulic permeability which is required to evaluate the fluid flow contribution to viscoelasticity, is mostly unavailable, and where available, varies by several orders of magnitude. In this manuscript, we quantified the transverse poroelastic material parameters of rat tail tendon fascicles by conducting transverse osmotic loading experiments, in both tension and compression. We used a multi-start optimization method to evaluate the parameters using biphasic finite element modeling. Our tendon samples had a transverse hydraulic permeability of 10-4 to 10-5 mm4. (Ns)-1 and showed a significant tension-compression nonlinearity in the transverse direction. Further, using these results, we predict hydraulic permeability during longitudinal (fiber-aligned) tensile loading, and the spatial distribution of fluid flow during osmotic loading. These results reveal novel aspects of tendon mechanics and can be used to study the physiomechanical response of tendon in response to mechanical loading.
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Affiliation(s)
- Babak N Safa
- Department of Mechanical Engineering, University of Delaware, Newark, DE, United States; Department of Biomedical Engineering, University of Delaware, Newark, DE, United States
| | - Ellen T Bloom
- Department of Biomedical Engineering, University of Delaware, Newark, DE, United States
| | - Andrea H Lee
- Department of Biomedical Engineering, University of Delaware, Newark, DE, United States
| | - Michael H Santare
- Department of Mechanical Engineering, University of Delaware, Newark, DE, United States; Department of Biomedical Engineering, University of Delaware, Newark, DE, United States
| | - Dawn M Elliott
- Department of Biomedical Engineering, University of Delaware, Newark, DE, United States.
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7
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Wang L, Wang C, Wu S, Fan Y, Li X. Influence of the mechanical properties of biomaterials on degradability, cell behaviors and signaling pathways: current progress and challenges. Biomater Sci 2020; 8:2714-2733. [DOI: 10.1039/d0bm00269k] [Citation(s) in RCA: 66] [Impact Index Per Article: 16.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Abstract
We have clarified the influence of the mechanical properties of biomaterials on degradability and cell response, and also mechanical design targets and approaches.
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Affiliation(s)
- Lu Wang
- Key Laboratory for Biomechanics and Mechanobiology of Ministry of Education
- School of Biological Science and Medical Engineering
- Beihang University
- Beijing 100083
- China
| | - Cunyang Wang
- Key Laboratory for Biomechanics and Mechanobiology of Ministry of Education
- School of Biological Science and Medical Engineering
- Beihang University
- Beijing 100083
- China
| | - Shuai Wu
- Key Laboratory for Biomechanics and Mechanobiology of Ministry of Education
- School of Biological Science and Medical Engineering
- Beihang University
- Beijing 100083
- China
| | - Yubo Fan
- Key Laboratory for Biomechanics and Mechanobiology of Ministry of Education
- School of Biological Science and Medical Engineering
- Beihang University
- Beijing 100083
- China
| | - Xiaoming Li
- Key Laboratory for Biomechanics and Mechanobiology of Ministry of Education
- School of Biological Science and Medical Engineering
- Beihang University
- Beijing 100083
- China
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8
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Effect of structural distortions on articular cartilage permeability under large deformations. Biomech Model Mechanobiol 2019; 19:317-334. [DOI: 10.1007/s10237-019-01213-6] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/20/2019] [Accepted: 08/14/2019] [Indexed: 02/06/2023]
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9
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Connizzo BK, Grodzinsky AJ. Multiscale Poroviscoelastic Compressive Properties of Mouse Supraspinatus Tendons Are Altered in Young and Aged Mice. J Biomech Eng 2018; 140:2666618. [PMID: 29238818 PMCID: PMC5816244 DOI: 10.1115/1.4038745] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/07/2017] [Revised: 12/04/2017] [Indexed: 02/02/2023]
Abstract
Rotator cuff disorders are one of the most common causes of shoulder pain and disability in the aging population but, unfortunately, the etiology is still unknown. One factor thought to contribute to the progression of disease is the external compression of the rotator cuff tendons, which can be significantly increased by age-related changes such as muscle weakness and poor posture. The objective of this study was to investigate the baseline compressive response of tendon and determine how this response is altered during maturation and aging. We did this by characterizing the compressive mechanical, viscoelastic, and poroelastic properties of young, mature, and aged mouse supraspinatus tendons using macroscale indentation testing and nanoscale high-frequency AFM-based rheology testing. Using these multiscale techniques, we found that aged tendons were stiffer than their mature counterparts and that both young and aged tendons exhibited increased hydraulic permeability and energy dissipation. We hypothesize that regional and age-related variations in collagen morphology and organization are likely responsible for changes in the multiscale compressive response as these structural parameters may affect fluid flow. Importantly, these results suggest a role for age-related changes in the progression of tendon degeneration, and we hypothesize that decreased ability to resist compressive loading via fluid pressurization may result in damage to the extracellular matrix (ECM) and ultimately tendon degeneration. These studies provide insight into the regional multiscale compressive response of tendons and indicate that altered compressive properties in aging tendons may be a major contributor to overall tendon degeneration.
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Affiliation(s)
- Brianne K. Connizzo
- Department of Biological Engineering,
Massachusetts Institute of Technology,
Cambridge, MA 02139
| | - Alan J. Grodzinsky
- Department of Biological Engineering,Massachusetts Institute of Technology,
Cambridge, MA 02139;
Center for Biomedical Engineering,Massachusetts Institute of Technology,
Cambridge, MA 02139;
Department of Electrical Engineeringand Computer Science,
Massachusetts Institute of Technology,
Cambridge, MA 02139;
Department of Mechanical Engineering,Massachusetts Institute of Technology,
Cambridge, MA 02139
e-mail:
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10
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Kleinhans KL, Jackson AR. Hydraulic permeability of meniscus fibrocartilage measured via direct permeation: Effects of tissue anisotropy, water volume content, and compressive strain. J Biomech 2018; 72:215-221. [PMID: 29605083 DOI: 10.1016/j.jbiomech.2018.03.011] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/26/2017] [Revised: 02/27/2018] [Accepted: 03/06/2018] [Indexed: 11/30/2022]
Abstract
Hydraulic permeability is an important material property of cartilaginous tissues, governing the rate of fluid flow, which is crucial to tissue biomechanics and cellular nutrition. The effects of strain, anisotropy, and region on the hydraulic permeability in meniscus tissue have not been fully elucidated. Using a one-dimensional direct permeation test, we measured the hydraulic permeability within statically compressed porcine meniscus specimens, prepared such that the explants were in either the axial or circumferential direction of either the central or horn (axial direction only) region of the medial and lateral menisci. A constant flow was applied and the pressure difference was measured using pressure transducers. Specimens were tested under 10-20% compressive strain. Permeability values were in the range of 1.53-1.87 × 10-15 m4/Ns, which is comparable to values found in the literature. Permeability was significantly anisotropic, being higher in the circumferential direction than in the axial direction. Additionally, there was a significant negative correlation between strain level and permeability for all groups. Lastly, no statistically significant difference was found between permeability coefficients from different regional locations. This study provides important information regarding structure-function relationships in meniscal tissues that helps to elucidate biomechanics and transport in the tissue, and can aid in the understanding of the tissue's role in the function of the knee joint and onset of osteoarthritis.
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Affiliation(s)
- Kelsey L Kleinhans
- Orthopaedic Biomechanics Laboratory, Department of Biomedical Engineering, University of Miami, Coral Gables, FL, USA
| | - Alicia R Jackson
- Orthopaedic Biomechanics Laboratory, Department of Biomedical Engineering, University of Miami, Coral Gables, FL, USA.
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11
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Orozco GA, Tanska P, Mononen ME, Halonen KS, Korhonen RK. The effect of constitutive representations and structural constituents of ligaments on knee joint mechanics. Sci Rep 2018; 8:2323. [PMID: 29396466 PMCID: PMC5797142 DOI: 10.1038/s41598-018-20739-w] [Citation(s) in RCA: 33] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/12/2017] [Accepted: 01/23/2018] [Indexed: 12/26/2022] Open
Abstract
Ligaments provide stability to the human knee joint and play an essential role in restraining motion during daily activities. Compression-tension nonlinearity is a well-known characteristic of ligaments. Moreover, simpler material representations without this feature might give reasonable results because ligaments are primarily in tension during loading. However, the biomechanical role of different constitutive representations and their fibril-reinforced poroelastic properties is unknown. A numerical knee model which considers geometric and material nonlinearities of meniscus and cartilages was applied. Five different constitutive models for the ligaments (spring, elastic, hyperelastic, porohyperelastic, and fibril-reinforced porohyperelastic (FRPHE)) were implemented. Knee joint forces for the models with elastic, hyperelastic and porohyperelastic properties showed similar behavior throughout the stance, while the model with FRPHE properties exhibited lower joint forces during the last 50% of the stance phase. The model with ligaments as springs produced the lowest joint forces at this same stance phase. The results also showed that the fibril network contributed substantially to the knee joint forces, while the nonfibrillar matrix and fluid had small effects. Our results indicate that simpler material models of ligaments with similar properties in compression and tension can be used when the loading is directed primarily along the ligament axis in tension.
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Affiliation(s)
- Gustavo A Orozco
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland.
| | - Petri Tanska
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
| | - Mika E Mononen
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
| | - Kimmo S Halonen
- Department of Health Science and Technology, Aalborg University, Aalborg, Denmark
| | - Rami K Korhonen
- Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
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12
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Chooi KY, Comerford A, Sherwin SJ, Weinberg PD. Intimal and medial contributions to the hydraulic resistance of the arterial wall at different pressures: a combined computational and experimental study. J R Soc Interface 2017; 13:rsif.2016.0234. [PMID: 27307514 PMCID: PMC4938088 DOI: 10.1098/rsif.2016.0234] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/23/2016] [Accepted: 05/18/2016] [Indexed: 11/12/2022] Open
Abstract
The hydraulic resistances of the intima and media determine water flux and the advection of macromolecules into and across the arterial wall. Despite several experimental and computational studies, these transport processes and their dependence on transmural pressure remain incompletely understood. Here, we use a combination of experimental and computational methods to ascertain how the hydraulic permeability of the rat abdominal aorta depends on these two layers and how it is affected by structural rearrangement of the media under pressure. Ex vivo experiments determined the conductance of the whole wall, the thickness of the media and the geometry of medial smooth muscle cells (SMCs) and extracellular matrix (ECM). Numerical methods were used to compute water flux through the media. Intimal values were obtained by subtraction. A mechanism was identified that modulates pressure-induced changes in medial transport properties: compaction of the ECM leading to spatial reorganization of SMCs. This is summarized in an empirical constitutive law for permeability and volumetric strain. It led to the physiologically interesting observation that, as a consequence of the changes in medial microstructure, the relative contributions of the intima and media to the hydraulic resistance of the wall depend on the applied pressure; medial resistance dominated at pressures above approximately 93 mmHg in this vessel.
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Affiliation(s)
- K Y Chooi
- Department of Bioengineering, Imperial College London, London, UK
| | - A Comerford
- Department of Aeronautics, Imperial College London, London, UK
| | - S J Sherwin
- Department of Aeronautics, Imperial College London, London, UK
| | - P D Weinberg
- Department of Bioengineering, Imperial College London, London, UK
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13
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Zitnay JL, Li Y, Qin Z, San BH, Depalle B, Reese SP, Buehler MJ, Yu SM, Weiss JA. Molecular level detection and localization of mechanical damage in collagen enabled by collagen hybridizing peptides. Nat Commun 2017; 8:14913. [PMID: 28327610 PMCID: PMC5364439 DOI: 10.1038/ncomms14913] [Citation(s) in RCA: 153] [Impact Index Per Article: 21.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/25/2015] [Accepted: 02/14/2017] [Indexed: 02/06/2023] Open
Abstract
Mechanical injury to connective tissue causes changes in collagen structure and material behaviour, but the role and mechanisms of molecular damage have not been established. In the case of mechanical subfailure damage, no apparent macroscale damage can be detected, yet this damage initiates and potentiates in pathological processes. Here, we utilize collagen hybridizing peptide (CHP), which binds unfolded collagen by triple helix formation, to detect molecular level subfailure damage to collagen in mechanically stretched rat tail tendon fascicle. Our results directly reveal that collagen triple helix unfolding occurs during tensile loading of collagenous tissues and thus is an important damage mechanism. Steered molecular dynamics simulations suggest that a likely mechanism for triple helix unfolding is intermolecular shearing of collagen α-chains. Our results elucidate a probable molecular failure mechanism associated with subfailure injuries, and demonstrate the potential of CHP targeting for diagnosis, treatment and monitoring of tissue disease and injury. Collagen denaturation is thought to occur during tissue mechanical damage, but its role in damage initiation is still unclear. Here, the authors use a collagen hybridizing peptide to provide insights into the molecular mechanisms leading to collagen unfolding during tendon mechanical stretch.
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Affiliation(s)
- Jared L Zitnay
- Department of Bioengineering, University of Utah, Salt Lake City, Utah 84112, USA.,Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, Utah 84112, USA
| | - Yang Li
- Department of Bioengineering, University of Utah, Salt Lake City, Utah 84112, USA
| | - Zhao Qin
- Laboratory for Atomistic and Molecular Mechanics, Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Boi Hoa San
- Department of Bioengineering, University of Utah, Salt Lake City, Utah 84112, USA
| | - Baptiste Depalle
- Laboratory for Atomistic and Molecular Mechanics, Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Shawn P Reese
- Department of Bioengineering, University of Utah, Salt Lake City, Utah 84112, USA.,Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, Utah 84112, USA
| | - Markus J Buehler
- Laboratory for Atomistic and Molecular Mechanics, Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - S Michael Yu
- Department of Bioengineering, University of Utah, Salt Lake City, Utah 84112, USA.,Department of Pharmaceutics and Pharmaceutical Chemistry, University of Utah, Salt Lake City, Utah 84112, USA
| | - Jeffrey A Weiss
- Department of Bioengineering, University of Utah, Salt Lake City, Utah 84112, USA.,Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, Utah 84112, USA.,Department of Orthopedics, University of Utah, Salt Lake City, Utah 84108, USA
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Wheatley BB, Odegard GM, Kaufman KR, Haut Donahue TL. A case for poroelasticity in skeletal muscle finite element analysis: experiment and modeling. Comput Methods Biomech Biomed Engin 2016; 20:598-601. [PMID: 27957877 DOI: 10.1080/10255842.2016.1268132] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Abstract
Finite element models of skeletal muscle typically ignore the biphasic nature of the tissue, associating any time dependence with a viscoelastic formulation. In this study, direct experimental measurement of permeability was conducted as a function of specimen orientation and strain. A finite element model was developed to identify how various permeability formulations affect compressive response of the tissue. Experimental and modeling results suggest the assumption of a constant, isotropic permeability is appropriate. A viscoelastic only model differed considerably from a visco-poroelastic model, suggesting the latter is more appropriate for compressive studies.
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Affiliation(s)
- Benjamin B Wheatley
- a Soft Tissue Mechanics Laboratory, Department of Mechanical Engineering , Colorado State University , Fort Collins , CO , USA
| | - Gregory M Odegard
- b Department of Mechanical Engineering - Engineering Mechanics , Michigan Technological University , Houghton , MI , USA
| | - Kenton R Kaufman
- c Motion Analysis Laboratory, Department of Orthopedic Surgery , Mayo Clinic , Rochester , MN , USA
| | - Tammy L Haut Donahue
- d Soft Tissue Mechanics Laboratory, Department of Mechanical Engineering , School of Biomedical Engineering, Colorado State University , Fort Collins , CO , USA
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15
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Yang Z, Hayes J, Krishnamurty S, Grosse IR. 3D finite element modeling of pelvic organ prolapse. Comput Methods Biomech Biomed Engin 2016; 19:1772-1784. [PMID: 27174200 DOI: 10.1080/10255842.2016.1186662] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Abstract
OBJECTIVES The purpose of this study is to develop a validated 3D finite element model of the pelvic floor system which can offer insights into the mechanics of anterior vaginal wall prolapse and have the ability to assess biomedical device treatment methods. The finite element results should accurately mimic the clinical findings of prolapse due to intra-abdominal pressure (IAP) and soft tissues impairment conditions. METHODS A 3D model of pelvic system was created in Creo Parametric 2.0 based on MRI Images, which included uterus, cervix, vagina, cardinal ligaments, uterosacral ligaments, and a simplified levator plate and rectum. The geometrical model was imported into ANSYS Workbench 14.5. Mechanical properties of soft tissues were based on experimental data of tensile test results from current literature. Studies were conducted for IAP loadings on the vaginal wall and uterus, increasing from lowest to extreme values. RESULTS Anterior vaginal wall collapse occurred at an IAP value corresponding to maximal valsalva and showed similar collapsed shape as clinical findings. Prolapse conditions exhibited high sensitivity to vaginal wall stiffness, whereas healthy tissues was found to support the vagina against prolapse. Ligament impairment was found to have only a secondary effect on prolapse.
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Affiliation(s)
- Zhuo Yang
- a Department of Mechanical & Industrial Engineering , University of Massachusetts Amherst , Amherst , MA , USA
| | - Jaclyn Hayes
- a Department of Mechanical & Industrial Engineering , University of Massachusetts Amherst , Amherst , MA , USA
| | - Sundar Krishnamurty
- a Department of Mechanical & Industrial Engineering , University of Massachusetts Amherst , Amherst , MA , USA
| | - Ian R Grosse
- a Department of Mechanical & Industrial Engineering , University of Massachusetts Amherst , Amherst , MA , USA
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16
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Bah I, Kwak ST, Chimenti RL, Richards MS, P Ketz J, Samuel Flemister A, Buckley MR. Mechanical changes in the Achilles tendon due to insertional Achilles tendinopathy. J Mech Behav Biomed Mater 2015; 53:320-328. [PMID: 26386166 DOI: 10.1016/j.jmbbm.2015.08.022] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/22/2015] [Revised: 07/31/2015] [Accepted: 08/11/2015] [Indexed: 11/24/2022]
Abstract
Insertional Achilles tendinopathy (IAT) is a painful and debilitating condition that responds poorly to non-surgical interventions. It is thought that this disease may originate from compression of the Achilles tendon due to calcaneal impingement. Thus, compressive mechanical changes associated with IAT may elucidate its etiology and offer clues to guide effective treatment. However, the mechanical properties of IAT tissue have not been characterized. Therefore, the objective of this study was to measure the mechanical properties of excised IAT tissue and compare with healthy cadaveric control tissue. Tissue from the Achilles tendon insertion was acquired from healthy donors and from patients undergoing debridement surgery for IAT. Several tissue specimens from each donor were then mechanically tested under cyclic unconfined compression and the acquired data was analyzed to determine the distribution of mechanical properties for each donor. While the median mechanical properties of tissue excised from IAT tendons were not significantly different than healthy tissue, the distribution of mechanical properties within each donor was dramatically altered. In particular, healthy tendons contained more low modulus (compliant) and high transition strain specimens than IAT tendons, as evidenced by a significantly lower 25th percentile secant modulus and higher 75th percentile transition strain. Furthermore, these parameters were significantly correlated with symptom severity. Finally, it was found that preconditioning and slow loading both reduced the secant modulus of healthy and IAT specimens, suggesting that slow, controlled ankle dorsiflexion prior to activity may help IAT patients manage disease-associated pain.
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Affiliation(s)
- Ibrahima Bah
- University of Rochester, Department of Biomedical Engineering, United States.
| | - Samuel T Kwak
- University of Rochester, Department of Biomedical Engineering, United States
| | - Ruth L Chimenti
- University of Rochester, Department of Biomedical Engineering, United States
| | | | - John P Ketz
- University of Rochester, Department of Orthopaedics, United States
| | | | - Mark R Buckley
- University of Rochester, Department of Biomedical Engineering, United States
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17
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Effects of low tangential permeability in the superficial layer on the frictional property of articular cartilage. BIOSURFACE AND BIOTRIBOLOGY 2015. [DOI: 10.1016/j.bsbt.2015.06.001] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
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18
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Swedberg AM, Reese SP, Maas SA, Ellis BJ, Weiss JA. Continuum description of the Poisson's ratio of ligament and tendon under finite deformation. J Biomech 2014; 47:3201-9. [PMID: 25134434 DOI: 10.1016/j.jbiomech.2014.05.011] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/12/2014] [Revised: 05/12/2014] [Accepted: 05/18/2014] [Indexed: 10/25/2022]
Abstract
Ligaments and tendons undergo volume loss when stretched along the primary fiber axis, which is evident by the large, strain-dependent Poisson's ratios measured during quasi-static tensile tests. Continuum constitutive models that have been used to describe ligament material behavior generally assume incompressibility, which does not reflect the volumetric material behavior seen experimentally. We developed a strain energy equation that describes large, strain dependent Poisson's ratios and nonlinear, transversely isotropic behavior using a novel method to numerically enforce the desired volumetric behavior. The Cauchy stress and spatial elasticity tensors for this strain energy equation were derived and implemented in the FEBio finite element software (www.febio.org). As part of this objective, we derived the Cauchy stress and spatial elasticity tensors for a compressible transversely isotropic material, which to our knowledge have not appeared previously in the literature. Elastic simulations demonstrated that the model predicted the nonlinear, upwardly concave uniaxial stress-strain behavior while also predicting a strain-dependent Poisson's ratio. Biphasic simulations of stress relaxation predicted a large outward fluid flux and substantial relaxation of the peak stress. Thus, the results of this study demonstrate that the viscoelastic behavior of ligaments and tendons can be predicted by modeling fluid movement when combined with a large Poisson's ratio. Further, the constitutive framework provides the means for accurate simulations of ligament volumetric material behavior without the need to resort to micromechanical or homogenization methods, thus facilitating its use in large scale, whole joint models.
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Affiliation(s)
- Aaron M Swedberg
- Department of Bioengineering, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA; Department of Orthopedics, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA; Scientific Computing and Imaging Institute, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA
| | - Shawn P Reese
- Department of Bioengineering, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA; Department of Orthopedics, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA; Scientific Computing and Imaging Institute, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA
| | - Steve A Maas
- Department of Bioengineering, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA; Department of Orthopedics, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA; Scientific Computing and Imaging Institute, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA
| | - Benjamin J Ellis
- Department of Bioengineering, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA; Department of Orthopedics, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA; Scientific Computing and Imaging Institute, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA
| | - Jeffrey A Weiss
- Department of Bioengineering, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA; Department of Orthopedics, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA; Scientific Computing and Imaging Institute, The University of Utah, 36 South Wasatch Drive, Room 3100, Salt Lake City, UT 84112, USA.
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19
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Evans SF, Parent JB, Lasko CE, Zhen X, Knothe UR, Lemaire T, Knothe Tate ML. Periosteum, bone's "smart" bounding membrane, exhibits direction-dependent permeability. J Bone Miner Res 2013; 28:608-17. [PMID: 23018813 DOI: 10.1002/jbmr.1777] [Citation(s) in RCA: 51] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 04/27/2012] [Revised: 09/20/2012] [Accepted: 09/24/2012] [Indexed: 12/27/2022]
Abstract
The periosteum serves as bone's bounding membrane, exhibits hallmarks of semipermeable epithelial barrier membranes, and contains mechanically sensitive progenitor cells capable of generating bone. The current paucity of data regarding the periosteum's permeability and bidirectional transport properties provided the impetus for the current study. In ovine femur and tibia samples, the periosteum's hydraulic permeability coefficient, k, was calculated using Darcy's Law and a custom-designed permeability tester to apply controlled, volumetric flow of phosphate-buffered saline through periosteum samples. Based on these data, ovine periosteum demonstrates mechanically responsive and directionally dependent (anisotropic) permeability properties. At baseline flow rates comparable to interstitial fluid flow (0.5 µL/s), permeability is low and does not exhibit anisotropy. In contrast, at high flow rates comparable to those prevailing during traumatic injury, femoral periosteum exhibits an order of magnitude higher permeability compared to baseline flow rates. In addition, at high flow rates permeability exhibits significant directional dependence, with permeability higher in the bone to muscle direction than vice versa. Furthermore, compared to periosteum in which the intrinsic tension (pre-stress) is maintained, free relaxation of the tibial periosteum after resection significantly increases its permeability in both flow directions. Hence, the structure and mechanical stress state of periosteum influences its role as bone's bounding membrane. During periods of homeostasis, periosteum may serve as a barrier membrane on the outer surface of bone, allowing for equal albeit low quiescent molecular communication between tissue compartments including bone and muscle. In contrast, increases in pressure and baseline flow rates within the periosteum resulting from injury, trauma, and/or disease may result in a significant increase in periosteum permeability and consequently in increased molecular communication between tissue compartments. Elucidation of the periosteum's permeability properties is key to understanding periosteal mechanobiology in bone health and healing, as well as to elucidate periosteum structure and function as a smart biomaterial that allows bidirectional and mechanically responsive fluid transport.
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Affiliation(s)
- Sarah F Evans
- Department of Biomedical Engineering, Case Western Reserve University, Cleveland, OH 44106-7207, USA
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20
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Serpooshan V, Quinn TM, Muja N, Nazhat SN. Hydraulic permeability of multilayered collagen gel scaffolds under plastic compression-induced unidirectional fluid flow. Acta Biomater 2013; 9:4673-80. [PMID: 22947324 DOI: 10.1016/j.actbio.2012.08.031] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/22/2011] [Revised: 08/01/2012] [Accepted: 08/20/2012] [Indexed: 01/07/2023]
Abstract
Under conditions of free fluid flow, highly hydrated fibrillar collagen gels expel fluid and undergo gravity driven consolidation (self-compression; SC). This process can be accelerated by the application of a compressive stress (plastic compression; PC) in order to generate dense collagen scaffolds for tissue engineering. To define the microstructural evolution of collagen gels under PC, this study applied a two-layer micromechanical model that was previously developed to measure hydraulic permeability (k) under SC. Radially confined PC resulted in unidirectional fluid flow through the gel and the formation of a dense lamella at the fluid expulsion boundary which was confirmed by confocal microscopy of collagen immunoreactivity. Gel mass loss due to PC and subsequent SC were measured and applied to Darcy's law to calculate the thickness of the lamella and hydrated layer, as well as their relative permeabilities. Increasing PC level resulted in a significant increase in mass loss fraction and lamellar thickness, while the thickness of the hydrated layer dramatically decreased. Permeability of lamella also decreased from 1.8×10(-15) to 1.0×10(-15) m(2) in response to an increase in PC level. Ongoing SC, following PC, resulted in a uniform decrease in mass loss and k with increasing PC level and as a function SC time. Experimental k data were in close agreement with those estimated by the Happel model. Calculation of average k values for various two-layer microstructures indicated that they each approached 10(-15)-10(-14) m(2) at equilibrium. In summary, the two-layer micromechanical model can be used to define the microstructure and permeability of multi-layered biomimetic scaffolds generated by PC.
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Affiliation(s)
- Vahid Serpooshan
- Department of Mining and Materials Engineering, McGill University, Montreal, Quebec, Canada
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21
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Schuff MM, Gore JP, Nauman EA. A mixture theory model of fluid and solute transport in the microvasculature of normal and malignant tissues. II: Factor sensitivity analysis, calibration, and validation. J Math Biol 2012; 67:1307-37. [DOI: 10.1007/s00285-012-0544-7] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/16/2009] [Revised: 03/11/2012] [Indexed: 11/24/2022]
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Fortuny G, López-Cano M, Susín A, Herrera B. Simulation and study of the geometric parameters in the inguinal area and the genesis of inguinal hernias. Comput Methods Biomech Biomed Engin 2012; 15:195-201. [DOI: 10.1080/10255842.2010.522182] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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23
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Ateshian GA, Weiss JA. Anisotropic hydraulic permeability under finite deformation. J Biomech Eng 2011; 132:111004. [PMID: 21034145 DOI: 10.1115/1.4002588] [Citation(s) in RCA: 40] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
The structural organization of biological tissues and cells often produces anisotropic transport properties. These tissues may also undergo large deformations under normal function, potentially inducing further anisotropy. A general framework for formulating constitutive relations for anisotropic transport properties under finite deformation is lacking in the literature. This study presents an approach based on representation theorems for symmetric tensor-valued functions and provides conditions to enforce positive semidefiniteness of the permeability or diffusivity tensor. Formulations are presented, which describe materials that are orthotropic, transversely isotropic, or isotropic in the reference state, and where large strains induce greater anisotropy. Strain-induced anisotropy of the permeability of a solid-fluid mixture is illustrated for finite torsion of a cylinder subjected to axial permeation. It is shown that, in general, torsion can produce a helical flow pattern, rather than the rectilinear pattern observed when adopting a more specialized, unconditionally isotropic spatial permeability tensor commonly used in biomechanics. The general formulation presented in this study can produce both affine and nonaffine reorientations of the preferred directions of material symmetry with strain, depending on the choice of material functions. This study addresses a need in the biomechanics literature by providing guidelines and formulations for anisotropic strain-dependent transport properties in porous-deformable media undergoing large deformations.
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Affiliation(s)
- Gerard A Ateshian
- Department of Mechanical Engineering, Columbia University, New York, NY 10027, USA
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24
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Laser-induced modification of the patellar ligament tissue: comparative study of structural and optical changes. Lasers Med Sci 2010; 26:401-13. [PMID: 21190054 PMCID: PMC3069329 DOI: 10.1007/s10103-010-0871-0] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/08/2010] [Accepted: 11/30/2010] [Indexed: 12/03/2022]
Abstract
The effects of non-ablative infrared (IR) laser treatment of collagenous tissue have been commonly interpreted in terms of collagen denaturation spread over the laser-heated tissue area. In this work, the existing model is refined to account for the recently reported laser-treated tissue heterogeneity and complex collagen degradation pattern using comprehensive optical imaging and calorimetry toolkits. Patella ligament (PL) provided a simple model of type I collagen tissue containing its full structural content from triple-helix molecules to gross architecture. PL ex vivo was subjected to IR laser treatments (laser spot, 1.6 mm) of equal dose, where the tissue temperature reached the collagen denaturation temperature of 60 ± 2°C at the laser spot epicenterin the first regime, and was limited to 67 ± 2°C in the second regime. The collagen network was analyzed versus distance from the epicenter. Experimental characterization of the collagenous tissue at all structural levels included cross-polarization optical coherence tomography, nonlinear optical microscopy, light microscopy/histology, and differential scanning calorimetry. Regressive rearrangement of the PL collagen network was found to spread well outside the laser spot epicenter (>2 mm) and was accompanied by multilevel hierarchical reorganization of collagen. Four zones of distinct optical and morphological properties were identified, all elliptical in shape, and elongated in the direction perpendicular to the PL long axis. Although the collagen transformation into a random-coil molecular structure was occasionally observed, it was mechanical integrity of the supramolecular structures that was primarily compromised. We found that the structural rearrangement of the collagen network related primarily to the heat-induced thermo-mechanical effects rather than molecular unfolding. The current body of evidence supports the notion that the supramolecular collagen structure suffered degradation of various degrees, which gave rise to the observed zonal character of the laser-treated lesion.
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Henninger HB, Underwood CJ, Ateshian GA, Weiss JA. Effect of sulfated glycosaminoglycan digestion on the transverse permeability of medial collateral ligament. J Biomech 2010; 43:2567-73. [PMID: 20627251 DOI: 10.1016/j.jbiomech.2010.05.012] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/23/2009] [Revised: 04/21/2010] [Accepted: 05/12/2010] [Indexed: 12/01/2022]
Abstract
Dermatan and chondroitin sulfate glycosaminoglycans (GAGs) comprise over 90% of the GAG content in ligament. Studies of their mechanical contribution to soft tissues have reported conflicting results. Measuring the transient compressive response and biphasic material parameters of the tissue may elucidate the contributions of GAGs to the viscoelastic response to deformation. The hypotheses of the current study were that digestion of sulfated GAGs would decrease compressive stress and aggregate modulus while increasing the permeability of porcine medial collateral ligament (MCL). Confined compression stress relaxation experiments were carried out on porcine MCL and tissue treated with chondroitinase ABC (ChABC). Results were fit to a biphasic constitutive model to derive permeability and aggregate modulus. Bovine articular cartilage was used as a benchmark tissue to verify that the apparatus provided reliable results. GAG digestion removed up to 88% of sulfated GAGs from the ligament. Removal of sulfated GAGs increased the permeability of porcine MCL nearly 6-fold versus control tissues. Peak stress decreased significantly. Bovine articular cartilage exhibited the typical reduction of GAG content and resultant decreases in stress and modulus and increases in permeability with ChABC digestion. Given the relatively small amount of GAG in ligament (<1% of tissue dry weight) and the significant change in peak stress and permeability upon removal of GAGs, sulfated GAGs may play a significant role in maintaining the apposition of collagen fibrils in the transverse direction, thus supporting dynamic compressive loads experienced by the ligament during complex joint motion.
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Affiliation(s)
- Heath B Henninger
- Department of Bioengineering, and Scientific Computing and Imaging Institute, University of Utah, 72S. Central Campus Drive, Salt Lake City, UT 84112, USA
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26
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Hollister SJ. Scaffold design and manufacturing: from concept to clinic. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2009; 21:3330-42. [PMID: 20882500 DOI: 10.1002/adma.200802977] [Citation(s) in RCA: 235] [Impact Index Per Article: 15.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/26/2023]
Abstract
Since Robert Langer and colleagues pioneered the concept of reconstructing tissue using cells transplanted on synthetic polymer matrices in the early 1990s, research in the field of tissue engineering and regenerative medicine has exploded. This is especially true in the development of new materials and structures that serve as scaffolds for tissue reconstruction. The basic tenet of the last two decades holds scaffolds as degradable materials providing temporary function while enhancing tissue regeneration through the delivery of biologics. Although a number of new scaffolding materials and structures have been developed in research laboratories, the application of such materials practice even has been extremely limited. This paper argues that better integration of all these factors is needed to bring scaffolds from "concept to clinic". It reviews current work in all these areas and suggests where future work and funding is needed.
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27
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Fortuny G, Rodríguez-Navarro J, Susín A, Armengol-Carrasco M, López-Cano M. A simulation finite element model for the mechanics of the internal oblique muscle: A defense mechanism against inguinal hernia formation? Comput Biol Med 2009; 39:794-9. [PMID: 19616206 DOI: 10.1016/j.compbiomed.2009.06.007] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/20/2008] [Revised: 03/23/2009] [Accepted: 06/23/2009] [Indexed: 10/20/2022]
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Fortuny G, Rodríguez-Navarro J, Susín A, López-Cano M. Simulation and study of the behaviour of the transversalis fascia in protecting against the genesis of inguinal hernias. J Biomech 2009; 42:2263-7. [PMID: 19665137 DOI: 10.1016/j.jbiomech.2009.06.050] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/15/2008] [Revised: 06/10/2009] [Accepted: 06/25/2009] [Indexed: 10/20/2022]
Abstract
Simulating the muscular system has many applications in biomechanics, biomedicine and the study of movement in general. We are interested in studying the genesis of a very common pathology: human inguinal hernia. We study the effects that some biomechanical parameters have on the dynamic simulation of the region, and their involvement in the genesis of inguinal hernias. We use the finite element method (FEM) and current models for the muscular contraction to determine the deformed fascia transversalis for the estimation of the maximum strain. We analysed the effect of muscular tissue density, Young's modulus, Poisson's coefficient and calcium concentration in the genesis of human inguinal hernia. The results are the estimated maximum strain in our simulations, has a close correlation with experimental data and the accepted commonly models by the medical community. Our model is the first study of the effect of various biological parameters with repercussions on the genesis of the inguinal hernias.
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Affiliation(s)
- G Fortuny
- Department d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Reus, Spain.
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Moffat KL, Kwei ASP, Spalazzi JP, Doty SB, Levine WN, Lu HH. Novel nanofiber-based scaffold for rotator cuff repair and augmentation. Tissue Eng Part A 2009; 15:115-26. [PMID: 18788982 DOI: 10.1089/ten.tea.2008.0014] [Citation(s) in RCA: 237] [Impact Index Per Article: 15.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
The debilitating effects of rotator cuff tears and the high incidence of failure associated with current grafts underscore the clinical demand for functional solutions for tendon repair and augmentation. To address this challenge, we have designed a poly(lactide-co-glycolide) (PLGA) nanofiber-based scaffold for rotator cuff tendon tissue engineering. In addition to scaffold design and characterization, the objective of this study was to evaluate the attachment, alignment, gene expression, and matrix elaboration of human rotator cuff fibroblasts on aligned and unaligned PLGA nanofiber scaffolds. Additionally, the effects of in vitro culture on scaffold mechanical properties were determined over time. It has been hypothesized that nanofiber organization regulates cellular response and scaffold properties. It was observed that rotator cuff fibroblasts cultured on the aligned scaffolds attached along the nanofiber long axis, whereas the cells on the unaligned scaffold were polygonal and randomly oriented. Moreover, distinct integrin expression profiles on these two substrates were observed. Quantitative analysis revealed that cell alignment, distribution, and matrix deposition conformed to nanofiber organization and that the observed differences were maintained over time. Mechanical properties of the aligned nanofiber scaffolds were significantly higher than those of the unaligned, and although the scaffolds degraded in vitro, physiologically relevant mechanical properties were maintained. These observations demonstrate the potential of the PLGA nanofiber-based scaffold system for functional rotator cuff repair. Moreover, nanofiber organization has a profound effect on cellular response and matrix properties, and it is a critical parameter for scaffold design.
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Affiliation(s)
- Kristen L Moffat
- Biomaterials and Interface Tissue Engineering Laboratory, Department of Biomedical Engineering, Columbia University, New York, New York, USA
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Zakharkina OL, Ignat’eva NY, Iksanov RR, Kamenskii VA, Sobol’ EN, Lunin VV. The effect of uniaxial tension on the stability of collagen fibers under the conditions of nonuniform laser heating. RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A 2009. [DOI: 10.1134/s0036024409020290] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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31
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Abstract
Cartilaginous tissues, such as articular cartilage and intervertebral disc, are avascular tissues which rely on transport for cellular nutrition. Comprehensive knowledge of transport properties in such tissues is therefore necessary in the understanding of nutritional supply to cells. Furthermore, poor cellular nutrition in cartilaginous tissues is believed to be a primary source of tissue degeneration, which may result in osteoarthritis (OA) or disc degeneration. In this mini-review, we present an overview of the current status of the study of transport properties and behavior in cartilaginous tissues. The mechanisms of transport in these tissues, as well as experimental approaches to measuring transport properties and results obtained are discussed. The current status of bioreactors used in cartilage tissue engineering is also presented.
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Affiliation(s)
- Ar Jackson
- Tissue Biomechanics Lab, Dept of Biomedical Engineering, University of Miami, Coral Gables, FL
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Lu Y, Wang W. Interaction between the interstitial fluid and the extracellular matrix in confined indentation. J Biomech Eng 2008; 130:041011. [PMID: 18601453 DOI: 10.1115/1.2939310] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
The Movement of the interstitial fluid in extracellular matrices not only affects the mechanical properties of soft tissues, but also facilitates the transport of nutrients and the removal of waste products. In this study, we aim to quantify interstitial fluid movement and fluid-matrix interaction in a new loading configuration-confined tissue indentation, using a poroelastic theory. The tissue sample sits in a cylindrical chamber and loading is applied on the top central surface of the specimen by a porous indenter that is fixed on the specimen. The interaction between the solid and the fluid is examined using a finite element method under ramp and cyclic loads. Typical compression-relaxation responses of the specimen are observed in a ramp load. Under a cyclic load, the system reaches a dynamic equilibrium after a number of loading cycles. Fluid circulation, with opposite directions in the loading and unloading phases in the extracellular matrix, is observed. The most significant variation in the fluid pressure locates just beneath the indenter. Fluid pressurization arrives at equilibrium much faster than the solid matrix deformation. As the loading frequency increases, the location of the peak pressure oscillation moves closer to the indenter and the magnitude of the pressure oscillation increases. Concomitantly, the axial stress variation of the solid matrix is reduced. It is found that interstitial fluid movement helps to alleviate severe strain of the solid matrix beneath the indenter. This study quantifies the interaction between the interstitial fluid and the extracellular matrix by decomposing the loading response of the specimen into the "transient" and "dynamic equilibrium" phases. Confined indentation in this manuscript gives a better representation of some in vitro and in vivo loading configurations where the indenter covers part of the top surface of the tissue.
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Affiliation(s)
- Yiling Lu
- Medical Engineering Division, School of Engineering and Materials Science, Queen Mary, University of London, London E1 4NS, UK
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Albro MB, Chahine NO, Caligaris M, Wei VI, Likhitpanichkul M, Ng KW, Hung CT, Ateshian GA. Osmotic loading of spherical gels: a biomimetic study of hindered transport in the cell protoplasm. J Biomech Eng 2007; 129:503-10. [PMID: 17655471 PMCID: PMC2828939 DOI: 10.1115/1.2746371] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
Osmotic loading of cells has been used to investigate their physicochemical properties as well as their biosynthetic activities. The classical Kedem-Katchalsky framework for analyzing cell response to osmotic loading, which models the cell as a fluid-filled membrane, does not generally account for the possibility of partial volume recovery in response to loading with a permeating osmolyte, as observed in some experiments. The cell may be more accurately represented as a hydrated gel surrounded by a semi-permeable membrane, with the gel and membrane potentially exhibiting different properties. To help assess whether this more elaborate model of the cell is justified, this study investigates the response of spherical gels to osmotic loading, both from experiments and theory. The spherical gel is described using the framework of mixture theory. In the experimental component of the study alginate is used as the model gel, and is osmotically loaded with dextran solutions of various concentrations and molecular weight, to verify the predictions from the theoretical analysis. Results show that the mixture framework can accurately predict the transient and equilibrium response of alginate gels to osmotic loading with dextran solutions. It is found that the partition coefficient of dextran in alginate regulates the equilibrium volume response and can explain partial volume recovery based on passive transport mechanisms. The validation of this theoretical framework facilitates future investigations of the role of the protoplasm in the response of cells to osmotic loading.
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Affiliation(s)
- Michael B Albro
- Department of Mechanical Engineering, Columbia University, 500 West 120th Street, MC 4703, New York, NY 10027, USA
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Cabodi M, Cross VL, Qu Z, Havenstrite KL, Schwartz S, Stroock AD. An active wound dressing for controlled convective mass transfer with the wound bed. J Biomed Mater Res B Appl Biomater 2007; 82:210-22. [PMID: 17106898 DOI: 10.1002/jbm.b.30723] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
Abstract
Conventional wound dressings-gauze, plastic films, foams, and gels-do not allow for spatial and temporal control of the soluble chemistry within the wound bed, and are thus limited to a passive role in wound healing. Here, we present an active wound dressing (AWD) designed to control convective mass transfer with the wound bed; this mass transfer provides a means to tailor and monitor the chemical state of a wound and, potentially, to aid the healing process. We form this AWD as a bilayer of porous poly(hydroxyethyl methacrylate) (pHEMA) and silicone; the pHEMA acts as the interface with the wound bed, and a layer of silicone provides a vapor barrier and a support for connecting to external reservoirs and pumps. We measure the convective permeability of the pHEMA sponge, and use this value to design a device with a spatially uniform flow profile. We quantify the global coefficient of mass transfer of the AWD on a dissolvable synthetic surface, and compare it to existing theories of mass transfer in porous media. We also operate the AWD on model wound beds made of calcium alginate gel to demonstrate extraction and delivery of low molecular weight solutes and a model protein. Using this system, we demonstrate both uniform mass transfer over the entire wound bed and patterned mass transfer in three spatially distinct regions. Finally, we discuss opportunities and challenges for the clinical application of this design of an AWD.
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Affiliation(s)
- Mario Cabodi
- School of Chemical and Biomolecular Engineering, Cornell University, Ithaca, New York 14853, USA
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Lavagnino M, Arnoczky SP, Kepich E, Caballero O, Haut RC. A finite element model predicts the mechanotransduction response of tendon cells to cyclic tensile loading. Biomech Model Mechanobiol 2007; 7:405-16. [PMID: 17901992 DOI: 10.1007/s10237-007-0104-z] [Citation(s) in RCA: 80] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/15/2007] [Accepted: 08/23/2007] [Indexed: 11/28/2022]
Abstract
The importance of fluid-flow-induced shear stress and matrix-induced cell deformation in transmitting the global tendon load into a cellular mechanotransduction response is yet to be determined. A multiscale computational tendon model composed of both matrix and fluid phases was created to examine how global tendon loading may affect fluid-flow-induced shear stresses and membrane strains at the cellular level. The model was then used to develop a quantitative experiment to help understand the roles of membrane strains and fluid-induced shear stresses on the biological response of individual cells. The model was able to predict the global response of tendon to applied strain (stress, fluid exudation), as well as the associated cellular response of increased fluid-flow-induced shear stress with strain rate and matrix-induced cell deformation with strain amplitude. The model analysis, combined with the experimental results, demonstrated that both strain rate and strain amplitude are able to independently alter rat interstitial collagenase gene expression through increases in fluid-flow-induced shear stress and matrix-induced cell deformation, respectively.
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Affiliation(s)
- Michael Lavagnino
- Laboratory for Comparative Orthopaedic Research, College of Veterinary Medicine, Michigan State University, East Lansing, MI 48824, USA.
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Lujan TJ, Underwood CJ, Henninger HB, Thompson BM, Weiss JA. Effect of dermatan sulfate glycosaminoglycans on the quasi-static material properties of the human medial collateral ligament. J Orthop Res 2007; 25:894-903. [PMID: 17343278 DOI: 10.1002/jor.20351] [Citation(s) in RCA: 87] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 02/04/2023]
Abstract
The glycosaminoglycan of decorin, dermatan sulfate (DS), has been suggested to contribute to the mechanical properties of soft connective tissues such as ligaments and tendons. This study investigated the mechanical function of DS in human medial collateral ligaments (MCL) using nondestructive shear and tensile material tests performed before and after targeted removal of DS with chondroitinase B (ChB). The quasi-static elastic material properties of human MCL were unchanged after DS removal. At peak deformation, tensile and shear stresses in ChB treated tissue were within 0.5% (p>0.70) and 2.0% (p>0.30) of pre-treatment values, respectively. From pre- to post-ChB treatment under tensile loading, the tensile tangent modulus went from 242+/-64 to 233+/-57 MPa (p=0.44), and tissue strain at peak deformation went from 4.3+/-0.3% to 4.4+/-0.3% (p=0.54). Tissue hysteresis was unaffected by DS removal for both tensile and shear loading. Biochemical analysis confirmed that 90% of DS was removed by ChB treatment when compared to control samples, and transmission electron microscopy (TEM) imaging further verified the degradation of DS by showing an 88% reduction (p<.001) of sulfated glycosaminoglycans in ChB treated tissue. These results demonstrate that DS in mature knee MCL tissue does not resist tensile or shear deformation under quasi-static loading conditions, challenging the theory that decorin proteoglycans contribute to the elastic material behavior of ligament.
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Affiliation(s)
- Trevor J Lujan
- Department of Bioengineering, University of Utah, 50 South Central Campus Drive, Room 2480, Salt Lake City, UT 84112, USA
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Weiss JA, Gardiner JC, Ellis BJ, Lujan TJ, Phatak NS. Three-dimensional finite element modeling of ligaments: technical aspects. Med Eng Phys 2005; 27:845-61. [PMID: 16085446 DOI: 10.1016/j.medengphy.2005.05.006] [Citation(s) in RCA: 85] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/11/2004] [Revised: 04/25/2005] [Accepted: 05/21/2005] [Indexed: 11/29/2022]
Abstract
The objective of this paper is to describe strategies for addressing technical aspects of the computational modeling of ligaments with the finite element (FE) method. Strategies for FE modeling of ligament mechanics are described, differentiating between whole-joint models and models of individual ligaments. Common approaches to obtain three-dimensional ligament geometry are reviewed, with an emphasis on techniques that rely on volumetric medical image data. Considerations for the three-dimensional constitutive modeling of ligaments are reviewed in the context of ligament composition and structure. A novel approach to apply in situ strain to FE models of ligaments is described, and test problems are presented that demonstrate the efficacy of the approach. Approaches for the verification and validation of ligament FE models are outlined. The paper concludes with a discussion of future research directions.
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Affiliation(s)
- Jeffrey A Weiss
- Department of Bioengineering, University of Utah, 50 South Central Campus Drive, Room 2480, Salt Lake City, UT 84112, USA.
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