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Eghbali R, Narooei K. A hyperelastic-damage model to study the anisotropic mechanical behavior of coral-hydrogel bio-composite. J Mech Behav Biomed Mater 2021; 126:105054. [PMID: 34933157 DOI: 10.1016/j.jmbbm.2021.105054] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/24/2021] [Revised: 12/11/2021] [Accepted: 12/14/2021] [Indexed: 12/01/2022]
Abstract
In this research, a hyperelastic strain energy function was developed to investigate the anisotropic mechanical behavior of a soft bio-composite containing the coral collagen fibers and alginate hydrogel matrix. This hyperelastic function considers the matrix isotropic response, anisotropic behavior of soft crimpled fibers, and matrix-fiber interaction. The material parameters of the model were assumed as a function of the volume fraction of fibers to consider the fiber content. The published experimental data of matrix and bio-composites with different volume fractions of fibers in different directions were used to find the material parameters. A damage model was developed to take into account the damage of matrix, fibers, and fiber-matrix interaction. Results showed that the interaction contribution increases by increasing the volume fraction of fibers due to the crosslinks between the matrix and fibers. Moreover, by exceeding the fibers volume fraction from 20%, the anisotropic stiffening dominates the interaction stiffening in the longitudinal test owing to the load-bearing of soft fibers. Simulation results exhibited that cross-plied bio-composites show more uniform deformations than angle-plied bio-composites. Moreover, the damage results showed that the matrix plays a significant role in the failure of bio-composites.
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Affiliation(s)
- R Eghbali
- Department of Materials Science and Engineering, K. N. Toosi University of Technology, Tehran, Iran
| | - K Narooei
- Department of Materials Science and Engineering, K. N. Toosi University of Technology, Tehran, Iran.
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2
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Singh G, Chanda A. Mechanical properties of whole-body soft human tissues: a review. Biomed Mater 2021; 16. [PMID: 34587593 DOI: 10.1088/1748-605x/ac2b7a] [Citation(s) in RCA: 68] [Impact Index Per Article: 22.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/08/2021] [Accepted: 09/29/2021] [Indexed: 11/11/2022]
Abstract
The mechanical properties of soft tissues play a key role in studying human injuries and their mitigation strategies. While such properties are indispensable for computational modelling of biological systems, they serve as important references in loading and failure experiments, and also for the development of tissue simulants. To date, experimental studies have measured the mechanical properties of peripheral tissues (e.g. skin)in-vivoand limited internal tissuesex-vivoin cadavers (e.g. brain and the heart). The lack of knowledge on a majority of human tissues inhibit their study for applications ranging from surgical planning, ballistic testing, implantable medical device development, and the assessment of traumatic injuries. The purpose of this work is to overcome such challenges through an extensive review of the literature reporting the mechanical properties of whole-body soft tissues from head to toe. Specifically, the available linear mechanical properties of all human tissues were compiled. Non-linear biomechanical models were also introduced, and the soft human tissues characterized using such models were summarized. The literature gaps identified from this work will help future biomechanical studies on soft human tissue characterization and the development of accurate medical models for the study and mitigation of injuries.
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Affiliation(s)
- Gurpreet Singh
- Centre for Biomedical Engineering, Indian Institute of Technology (IIT), Delhi, India
| | - Arnab Chanda
- Centre for Biomedical Engineering, Indian Institute of Technology (IIT), Delhi, India.,Department of Biomedical Engineering, All India Institute of Medical Sciences (AIIMS), Delhi, India
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3
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Li WG. Ultrasound Image Based Human Gallbladder 3D Modelling along with Volume and Stress Level Assessment. J Med Biol Eng 2019. [DOI: 10.1007/s40846-019-00493-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Abstract
Abstract
Purpose
Three-dimensional (3D) gallbladder (GB) geometrical models are essential to GB motor function evaluation and GB wall biomechanical property identification by employing finite element analysis (FEA) in GB disease diagnosis with ultrasound systems. Methods for establishing such 3D geometrical models based on static two-dimensional (2D) ultrasound images scanned along the long-axis/sagittal and short-axis/transverse cross-sections in routine GB disease diagnosis at the beginning of emptying phase have not been documented in the literature so far.
Methods
Based on two custom MATLAB codes composed, two images were segmented manually to secure two sets of the scattered points for the long- and short-axis GB cross-section edges; and the points were best fitted with a piecewise cubic spline function, and the short-axis cross-section edges were lofted along the long-axis to yield a 3D geometrical model, then GB volume of the model was figured out. The model was read into SolidWorks for real surface generation and involved in ABAQUS for FEA.
Results
3D geometrical models of seven typical GB samples were established. Their GB volumes are with 15.5% and − 4.4% mean errors in comparison with those estimated with the ellipsoid model and sum-of-cylinders method but can be correlated to the latter very well. The maximum first principal in-plane stress in the 3D models is higher than in the ellipsoid model by a factor of 1.76.
Conclusions
A numerical method was put forward here to create 3D GB geometrical models and can be applied to GB disease diagnosis and GB shape analysis with principal component method potentially in the future.
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Girard E, Chagnon G, Gremen E, Calvez M, Masri C, Boutonnat J, Trilling B, Nottelet B. Biomechanical behaviour of human bile duct wall and impact of cadaveric preservation processes. J Mech Behav Biomed Mater 2019; 98:291-300. [PMID: 31288211 DOI: 10.1016/j.jmbbm.2019.07.001] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/16/2018] [Revised: 06/05/2019] [Accepted: 07/02/2019] [Indexed: 11/17/2022]
Abstract
Biliary diseases are the third most common cause of surgical digestive disease. There is a close relationship between the mechanical performance of the bile duct and its physiological function. Data of biomechanical properties of human main bile duct are scarce in literature. Furthermore, mechanical properties of soft tissues are affected by these preservation procedures. The aim of the present work was, on the one hand, to observe the microstructure of the human bile duct by means of histological analysis, on the other hand, to characterize the mechanical behavior and describe the impact of different preservation processes. A mechanical study in a controlled environment consisting of cyclic tests was made. The results of the mechanical tests are discussed and explained using the micro-structural observations. The results show an influence of the loading direction, which is representative of an anisotropic behavior. A strong hysteresis due to the viscoelastic properties of soft tissues was also observed. Embalming and freezing preservation methods had an impact on the biomechanical properties of human main bile duct, with fiber network deterioration. That may further provide a useful quantitative baseline for anatomical and surgical training using embalming and freezing.
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Affiliation(s)
- E Girard
- Univ. Grenoble Alpes, CNRS, Grenoble INP, CHU Grenoble Alpes, TIMC-IMAG, 38000, Grenoble, France; Département de Chirurgie Digestive et de l'urgence, Centre Hospitalier Grenoble-Alpes, 38000, Grenoble, France; Laboratoire d'anatomie des Alpes françaises (LADAF), UFR de Médecine de Grenoble, France.
| | - G Chagnon
- Univ. Grenoble Alpes, CNRS, Grenoble INP, TIMC-IMAG, 38000, Grenoble, France
| | - E Gremen
- Laboratoire d'anatomie des Alpes françaises (LADAF), UFR de Médecine de Grenoble, France
| | - M Calvez
- Univ. Grenoble Alpes, CNRS, Grenoble INP, TIMC-IMAG, 38000, Grenoble, France
| | - C Masri
- Univ. Grenoble Alpes, CNRS, Grenoble INP, TIMC-IMAG, 38000, Grenoble, France
| | - J Boutonnat
- Univ. Grenoble Alpes, CNRS, Grenoble INP, CHU Grenoble Alpes, TIMC-IMAG, 38000, Grenoble, France; Département d'anatomopathologie et Cytologie, Centre Hospitalier Grenoble-Alpes, 38000, Grenoble, France
| | - B Trilling
- Univ. Grenoble Alpes, CNRS, Grenoble INP, CHU Grenoble Alpes, TIMC-IMAG, 38000, Grenoble, France; Département de Chirurgie Digestive et de l'urgence, Centre Hospitalier Grenoble-Alpes, 38000, Grenoble, France; Laboratoire d'anatomie des Alpes françaises (LADAF), UFR de Médecine de Grenoble, France
| | - B Nottelet
- IBMM, Université de Montpellier, CNRS, ENSCM, Montpellier, France
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Li W. Constitutive law of healthy gallbladder walls in passive state with damage effect. Biomed Eng Lett 2019; 9:189-201. [PMID: 31168424 DOI: 10.1007/s13534-019-00098-9] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/27/2018] [Revised: 01/14/2019] [Accepted: 01/16/2019] [Indexed: 12/19/2022] Open
Abstract
Biomechanical properties of human gallbladder (GB) wall in passive state can be valuable to diagnosis of GB diseases. In the article, an approach for identifying damage effect in GB walls during uniaxial tensile test was proposed and a strain energy function with the damage effect was devised as a constitutive law phenomenologically. Scalar damage variables were introduced respectively into the matrix and two families of fibres to assess the damage degree in GB walls. The parameters in the constitutive law with the damage effect were determined with a custom MATLAB code based on two sets of existing uniaxial tensile test data on human and porcine GB walls in passive state. It turned out that the uniaxial tensile test data for GB walls could not be fitted properly by using the existing strain energy function without the damage effect, but could be done by means of the proposed strain energy function with the damage effect involved. The stresses and Young moduli developed in two families of fibres were more than thousands higher than the stresses and Young's moduli in the matrix. According to the damage variables estimated, the damage effect occurred in two families of fibres only. Once the damage occurs, the value of the strain energy function will decrease. The proposed constitutive laws are meaningful for finite element analysis on human GB walls.
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Affiliation(s)
- Wenguang Li
- School of Mathematics and Statistics, University of Glasgow, Glasgow, G12, 8QQ UK
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Li W, Bird NC, Luo X. A Pointwise Method for Identifying Biomechanical Heterogeneity of the Human Gallbladder. Front Physiol 2017; 8:176. [PMID: 28408886 PMCID: PMC5374253 DOI: 10.3389/fphys.2017.00176] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/10/2016] [Accepted: 03/07/2017] [Indexed: 11/13/2022] Open
Abstract
Identifying the heterogeneous biomechanical property of human gallbladder (GB) walls from non-invasive measurements can have clinical significance in patient-specific modeling and acalculous biliary pain diagnosis. In this article, a pointwise method was proposed to measure the heterogeneity of ten samples of human GB during refilling. Three different points, two on the equator of GB body 90° apart and one on the apex of GB fundus, were chosen to represent the typical regions of interest. The stretches at these points were estimated from ultrasound images of the GB during the bile emptying phase based on an analytical model. The model was validated against the experimental data of a lamb GB. The material parameters at the different points were determined inversely by making use of a structure-based anisotropic constitutive model. This anisotropic model yielded much better accuracy when compared to a number of phenomenologically-based constitutive laws, as demonstrated by its significantly reduced least-square errors in stress curve fitting. The results confirmed that the human GB wall material was heterogeneous, particularly toward the apex region. Our study also suggested that non-uniform wall thickness of the GB was important in determining the material parameters, in particular, on the parameters associated with the properties of the matrix and the longitudinal fibers—the difference could be as large as 20–30% compared to that of the uniform thickness model.
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Affiliation(s)
- Wenguang Li
- School of Engineering, University of GlasgowGlasgow, UK
| | - Nigel C Bird
- Academic Surgical Unit, Royal Hallamshire HospitalSheffield, UK
| | - Xiaoyu Luo
- School of Mathematics and Statistics, University of GlasgowGlasgow, UK
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Histopathological gallbladder morphometric measurements in geriatric patients with symptomatic chronic cholecystitis. Ir J Med Sci 2015; 185:871-876. [PMID: 26602767 DOI: 10.1007/s11845-015-1385-3] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/04/2015] [Accepted: 11/16/2015] [Indexed: 10/22/2022]
Abstract
INTRODUCTION Cholecystectomy for symptomatic cholecystitis is one of the common surgical procedures in the geriatric patients. Increased gallbladder wall thickness is expected due to acute cholecystitis and in some other clinical conditions. Routine histopathological evaluation of cholecystectomy materials are required to confirm the diagnosis and document other pathologies. The aim of this study was to evaluate age-related histopathological gallbladder morphometric measurements. METHODS A retrospective chart review of 371 cholecystectomy materials was performed. Two groups were designed according to age (<65 and ≥65 years old, respectively). Age and gender analyses for histopathological gallbladder length, diameter and wall thickness were performed. In addition, pathologically confirmed acute inflammation rates were evaluated in this case-control study. RESULTS Gallbladder morphometric measurements and pathologically confirmed acute inflammation rates were similar in males and females. Histopathological gallbladder diameter was higher with acute inflammatory changes, but no differences were observed in gallbladder length and wall thickness. Gallbladder wall thickness and pathologically confirmed acute inflammation rates were not comparable between the control and geriatric patients (2.8 ± 1.3 vs 2.6 ± 1.2 mm, and 30/281 (10.7 %) vs 10/74 (13.5 %), respectively, p > 0.05). However, higher gallbladder length and diameter were observed in geriatric group. CONCLUSION Age is an independent factor on histopathological gallbladder length and diameter, but not for gallbladder wall thickness. In addition, pathologically confirmed acute inflammation rate is not higher in geriatric patients. Clinical significance of these findings merits further investigation.
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Robertson D, Cook D. Unrealistic statistics: how average constitutive coefficients can produce non-physical results. J Mech Behav Biomed Mater 2014; 40:234-239. [PMID: 25247769 DOI: 10.1016/j.jmbbm.2014.09.006] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/18/2014] [Revised: 08/24/2014] [Accepted: 09/02/2014] [Indexed: 12/12/2022]
Abstract
The coefficients of constitutive models are frequently averaged in order to concisely summarize the complex, nonlinear, material properties of biomedical materials. However, when dealing with nonlinear systems, average inputs (e.g. average constitutive coefficients) often fail to generate average behavior. This raises an important issue because average nonlinear constitutive coefficients of biomedical materials are commonly reported in the literature. This paper provides examples which demonstrate that average constitutive coefficients applied to nonlinear constitutive laws in the field of biomedical material characterization can fail to produce average stress-strain responses and in some cases produce non-physical responses. Results are presented from a literature survey which indicates that approximately 90% of tissue measurement studies that employ a nonlinear constitutive model report average nonlinear constitutive coefficients. We suggest that reviewers and editors of future measurement studies discourage the reporting of average nonlinear constitutive coefficients. Reporting of individual coefficient sets for each test sample should be considered and discussed as designation for a "best practice" in the field of biomedical material characterization.
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Affiliation(s)
- Daniel Robertson
- Department of Mechanical Engineering, New York University-Abu Dhabi, PO BOX 129188, Abu Dhabi, United Arab Emirates.
| | - Douglas Cook
- Department of Mechanical Engineering, New York University-Abu Dhabi, PO BOX 129188, Abu Dhabi, United Arab Emirates.
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Genovese K, Casaletto L, Humphrey JD, Lu J. Digital image correlation-based point-wise inverse characterization of heterogeneous material properties of gallbladder
in vitro. Proc Math Phys Eng Sci 2014. [DOI: 10.1098/rspa.2014.0152] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
Continuing advances in mechanobiology reveal more and more that many cell types, especially those responsible for establishing, maintaining, remodelling or repairing extracellular matrix, are extremely sensitive to their local mechanical environment. Indeed, it appears that they fashion the extracellular matrix so as to promote a ‘mechanical homeostasis’. A natural corollary, therefore, is that cells will try to offset complexities in geometry and applied loads with heterogeneous material properties in order to render their local environment mechanobiologically favourable. There is a pressing need, therefore, for hybrid experimental–computational methods in biomechanics that can quantify such heterogeneities. In this paper, we present an approach that combines experimental information on full-field surface geometry and deformations with a membrane-based point-wise inverse method to infer full-field mechanical properties for soft tissues that exhibit nonlinear behaviours under finite deformations. To illustrate the potential utility of this new approach, we present the first quantification of regional mechanical properties of an excised but intact gallbladder, a thin-walled, sac-like organ that plays a fundamental role in normal digestion. The gallbladder was inflated to a maximum local stretch of 120% in eight pressure increments; at each pressure pause, the entire three-dimensional surface was optically extracted, and from which the surface strains were computed. Wall stresses in each state were predicted from the deformed geometry and the applied pressure using an inverse elastostatic method. The elastic properties of the gallbladder tissue were then characterized locally using point-wise stress–strain data. The gallbladder was found to be highly heterogeneous, with drastically different stiffness between the hepatic and the serosal sides. The identified material model was validated through forward finite-element analysis; both the configurations and the local stress–strain patterns were well reproduced.
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Affiliation(s)
- Katia Genovese
- School of Engineering, University of Basilicata, 85100 Potenza, Italy
| | - Luciana Casaletto
- School of Engineering, University of Basilicata, 85100 Potenza, Italy
| | - Jay D. Humphrey
- Department of Biomedical Engineering, Yale University, New Haven, CT 06520, USA
| | - Jia Lu
- Department of Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242, USA
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