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Hatami-Marbini H, Emu ME. Effect of corneal collagen crosslinking on viscoelastic shear properties of the cornea. J Mech Behav Biomed Mater 2022; 133:105300. [PMID: 35749931 PMCID: PMC10826593 DOI: 10.1016/j.jmbbm.2022.105300] [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: 02/15/2022] [Revised: 04/08/2022] [Accepted: 05/27/2022] [Indexed: 11/26/2022]
Abstract
The cornea is responsible for most of the refractive power in the eye and acts as a protective layer for internal contents of the eye. The cornea requires mechanical strength for maintaining its precise shape and for withstanding external and internal forces. Corneal collagen crosslinking (CXL) is a treatment option to improve corneal mechanical properties. The primary objective of this study was to characterize CXL effects on viscoelastic shear properties of the porcine cornea as a function of compressive strain. For this purpose, corneal buttons were prepared and divided into three groups: control group (n = 5), pseudo-crosslinked group (n = 5), and crosslinked group (n = 5). A rheometer was used to perform dynamics torsional shear experiments on corneal disks at different levels of compressive strain (0%-40%). Specifically, strain sweep experiments and frequency sweep tests were done in order to determine the range of linear viscoelasticity and frequency dependent shear properties, respectively. It was found that the shear properties of all samples were dependent on the shear strain magnitude, loading frequency, and compressive strain. With increasing the applied shear strain, all samples showed a nonlinear viscoelastic response. Furthermore, the shear modulus of samples increased with increasing the frequency of the applied shear strain and/or increasing the compressive strain. Finally, the CXL treatment significantly increased the shear storage and loss moduli when the compressive strain was varied from 0% to 30% (p < 0.05); larger shear moduli were observed at compressive 40% strain but the difference was not significant (P = 0.12).
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Affiliation(s)
- Hamed Hatami-Marbini
- Mechanical and Industrial Engineering Department, University of Illinois at Chicago, Chicago, IL, USA.
| | - Md Esharuzzaman Emu
- Mechanical and Industrial Engineering Department, University of Illinois at Chicago, Chicago, IL, USA
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Hatami-Marbini H, Mehr JA. Modeling and experimental investigation of electromechanical properties of scleral tissue; a CEM model using an anisotropic hyperelastic constitutive relation. Biomech Model Mechanobiol 2022; 21:1325-1337. [PMID: 35962249 DOI: 10.1007/s10237-022-01590-5] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/06/2021] [Accepted: 05/01/2022] [Indexed: 12/15/2022]
Abstract
The sclera is a soft tissue primarily consisting of collagen fibers, elastin, and proteoglycans. The proteoglycans are composed of a core protein and negatively charged glycosaminoglycan side chains. The fixed electric charges inside the scleral extracellular matrix play a key role in its swelling and are expected to cause the tissue to deform in response to an electric field. However, the electroactive response of the sclera has not yet been investigated. The present work experimentally demonstrates that sclera behaves similar to an anionic electrosensitive hydrogel and develops a chemo-electro-mechanical (CEM) mathematical framework for its electromechanical response. In the numerical model, a hyperelastic constitutive law with distributed collagen fibers is used to capture the nonlinear mechanical properties of the sclera, and the coupled Poisson-Nernst-Planck equations represent the distribution of mobile ions throughout the domain. After calibrating the proposed numerical CEM model against the experimental measurements, we employ it to investigate the effects of different parameters on the scleral electromechanical response including the voltage and fixed charge density. The experimental and numerical findings of the present study confirm that sclera behaves as an electroactive hydrogel and provide new insight into the mechanical response of this ocular tissue.
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Affiliation(s)
- Hamed Hatami-Marbini
- Mechanical and Industrial Engineering Department, University of Illinois at Chicago, 2039 Engineering Research Facility, 842 West Taylor St, Chicago, IL, 60607, USA.
| | - Jafar Arash Mehr
- Mechanical and Industrial Engineering Department, University of Illinois at Chicago, 2039 Engineering Research Facility, 842 West Taylor St, Chicago, IL, 60607, USA
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Swain MV, Schroeter N, Nohava J, Eberwein P. Indentation of the cornea: A Bi-layer contact problem. J Mech Behav Biomed Mater 2021; 118:104463. [PMID: 33765544 DOI: 10.1016/j.jmbbm.2021.104463] [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: 12/11/2020] [Revised: 03/09/2021] [Accepted: 03/11/2021] [Indexed: 11/16/2022]
Abstract
Histological observations of the cornea have identified the presence of multiple layers with differing thickness and function. The composition of the cornea consists primarily of collagen fibrils held together with proteoglycans but with an aqueous interstitial component being dominant. Indentation provides a means to quantify the spatial variation of the mechanical properties of the cornea, however the role of the different layers on the indentation response has barely been addressed. In addition, the response of the fluid content and its displacement during indentation has not been adequately considered. In this study indentation of the cornea with a relatively large spherical tipped indenter (R = 500 μm) is considered. It was observed that the initial phase of loading did not fit a classic Hertz elastic response but showed an initial steeper slope that gradually declines with increasing force and displacement. A relatively simple approach is developed that initially considers the cornea as a poro-elastic bi-layer contact problem, that is the presence of an outer thin stiffer Bowman's layer overlaying the thicker less stiff stroma.
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Affiliation(s)
- M V Swain
- AMME, Biomechanics Engineering, The University of Sydney, Sydney, NSW, 2004, Australia; Biomechanics Lab, Don State Technical University, Rostov-on-Don, 344010, Russia.
| | - N Schroeter
- Eye Hospital, Medical Faculty Freiburg, University of Freiburg, 79106, Freiburg, Germany
| | - J Nohava
- Anton Paar TriTec SA, Vernets 6, 2035, Corcelles, Switzerland
| | - P Eberwein
- Eye Hospital, Medical Faculty Freiburg, University of Freiburg, 79106, Freiburg, Germany; AugenCentrum Rosenheim, 83322, Rosenheim, Germany
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Wang S, Hatami-Marbini H. Constitutive Modeling of Corneal Tissue: Influence of Three-Dimensional Collagen Fiber Microstructure. J Biomech Eng 2021; 143:031002. [PMID: 32909596 DOI: 10.1115/1.4048401] [Citation(s) in RCA: 17] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/12/2019] [Indexed: 07/25/2024]
Abstract
The cornea, the transparent tissue in the front of the eye, along with the sclera, plays a vital role in protecting the inner structures of the eyeball. The precise shape and mechanical strength of this tissue are mostly determined by the unique microstructure of its extracellular matrix. A clear picture of the 3D arrangement of collagen fibrils within the corneal extracellular matrix has recently been obtained from the secondary harmonic generation images. However, this important information about the through-thickness distribution of collagen fibrils was seldom taken into account in the constitutive modeling of the corneal behavior. This work creates a generalized structure tensor (GST) model to investigate the mechanical influence of collagen fibril through-thickness distribution. It then uses numerical simulations of the corneal mechanical response in inflation experiments to assess the efficacy of the proposed model. A parametric study is also done to investigate the influence of model parameters on numerical predictions. Finally, a brief comparison between the performance of this new constitutive model and a recent angular integration (AI) model from the literature is given.
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Affiliation(s)
- Shuolun Wang
- Mechanical and Industrial Engineering, University of Illinois at Chicago, Chicago, IL 60607
| | - Hamed Hatami-Marbini
- Mechanical and Industrial Engineering, University of Illinois at Chicago, 2033 Engineering Research Facility, 842 W. Taylor Street, Chicago, IL 60607
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Mehr JA, Moss HE, Hatami-Marbini H. Numerical Investigation on the Role of Mechanical Factors Contributing to Globe Flattening in States of Elevated Intracranial Pressure. Life (Basel) 2020; 10:life10120316. [PMID: 33260780 PMCID: PMC7760332 DOI: 10.3390/life10120316] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/26/2020] [Revised: 11/11/2020] [Accepted: 11/23/2020] [Indexed: 11/16/2022] Open
Abstract
Flattening of the posterior eye globe in the magnetic resonance (MR) images is a sign associated with elevated intracranial pressure (ICP), often seen in people with idiopathic intracranial hypertension (IIH). The exact underlying mechanisms of globe flattening (GF) are not fully known but mechanical factors are believed to play a role. In the present study, we investigated the effects of material properties and pressure loads on GF. For this purpose, we used a generic finite element model to investigate the deformation of the posterior eyeball. The degree of GF in numerical models and the significance of different mechanical factors on GF were characterized using an automated angle-slope technique and a statistical measure. From the numerical models, we found that ICP had the most important role in GF. We also showed that the angle-slope graphs pertaining to MR images from five people with high ICP can be represented numerically by manipulating the parameters of the finite element model. This numerical study suggests that GF observed in IIH patients can be accounted for by the forces caused by elevation of ICP from its normal level, while material properties of ocular tissues, such as sclera (SC), peripapillary sclera (PSC), and optic nerve (ON), would impact its severity.
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Affiliation(s)
- Jafar A. Mehr
- Computational Biomechanics Research Laboratory, Mechanical and Industrial Engineering Department, University of Illinois at Chicago, Chicago, IL 60612, USA;
| | - Heather E. Moss
- Departments of Ophthalmology and Neurology & Neurosciences, Stanford University, Palo Alto, CA 94303, USA;
| | - Hamed Hatami-Marbini
- Computational Biomechanics Research Laboratory, Mechanical and Industrial Engineering Department, University of Illinois at Chicago, Chicago, IL 60612, USA;
- Correspondence:
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Fabris G, Lucantonio A, Hampe N, Noetzel E, Hoffmann B, DeSimone A, Merkel R. Nanoscale Topography and Poroelastic Properties of Model Tissue Breast Gland Basement Membranes. Biophys J 2018; 115:1770-1782. [PMID: 30322796 DOI: 10.1016/j.bpj.2018.09.020] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/08/2018] [Revised: 09/07/2018] [Accepted: 09/10/2018] [Indexed: 01/19/2023] Open
Abstract
Basement membranes (BMs) are thin layers of condensed extracellular matrix proteins serving as permeability filters, cellular anchoring sites, and barriers against cancer cell invasion. It is believed that their biomechanical properties play a crucial role in determining cellular behavior and response, especially in mechanically active tissues like breast glands. Despite this, so far, relatively little attention has been dedicated to their analysis because of the difficulty of isolating and handling such thin layers of material. Here, we isolated BMs derived from MCF10A spheroids-three-dimensional breast gland model systems mimicking in vitro the most relevant phenotypic characteristics of human breast lobules-and characterized them by atomic force microscopy, enhanced resolution confocal microscopy, and scanning electron microscopy. By performing atomic force microscopy height-clamp experiments, we obtained force-relaxation curves that offered the first biomechanical data on isolated breast gland BMs to our knowledge. Based on enhanced resolution confocal microscopy and scanning electron microscopy imaging data, we modeled the system as a polymer network immersed in liquid and described it as a poroelastic material. Finite-element simulations matching the experimental force-relaxation curves allowed for the first quantification, to our knowledge, of the bulk and shear moduli of the membrane as well as its water permeability. These results represent a first step toward a deeper understanding of the mechanism of tensional homeostasis regulating mammary gland activity as well as its disruption during processes of membrane breaching and metastatic invasion.
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Affiliation(s)
- Gloria Fabris
- Institute of Complex Systems, ICS-7: Biomechanics, Forschungszentrum Jülich, Jülich, Germany; Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, New Jersey
| | | | - Nico Hampe
- Institute of Complex Systems, ICS-7: Biomechanics, Forschungszentrum Jülich, Jülich, Germany
| | - Erik Noetzel
- Institute of Complex Systems, ICS-7: Biomechanics, Forschungszentrum Jülich, Jülich, Germany
| | - Bernd Hoffmann
- Institute of Complex Systems, ICS-7: Biomechanics, Forschungszentrum Jülich, Jülich, Germany
| | | | - Rudolf Merkel
- Institute of Complex Systems, ICS-7: Biomechanics, Forschungszentrum Jülich, Jülich, Germany.
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Seiler TG, Shao P, Frueh BE, Yun SH, Seiler T. The influence of hydration on different mechanical moduli of the cornea. Graefes Arch Clin Exp Ophthalmol 2018; 256:1653-1660. [PMID: 30043266 DOI: 10.1007/s00417-018-4069-7] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/06/2018] [Revised: 06/13/2018] [Accepted: 07/12/2018] [Indexed: 11/28/2022] Open
Abstract
PURPOSE To determine the interrelation of different elastic moduli of the cornea and to investigate their dependency on corneal hydration. METHODS Rabbit eyes were divided into four groups. Corneas were excised and mounted into a Barron artificial anterior chamber. Various corneal hydration steady states were achieved with different dextran T-500 concentrations in the anterior chamber, as well as on the corneal anterior surface. The treatment-solutions of each group contained either 5, 10, 15, or 20% w/w dextran. Ultrasound pachymetry was used to measure central corneal thickness. Brillouin microscopy of the central cornea determined the longitudinal bulk modulus by means of Brillouin frequency shift. Subsequently, a 5-mm-wide central strip was taken for extensiometry to measure the tangential elastic modulus. RESULTS The longitudinal bulk modulus was 1.2-times higher in corneas dehydrated with 20% dextran compared to those hydrated with 5% dextran. In contrast, the tangential elastic modulus increased by 4.4 times. The obtained longitudinal bulk moduli were two orders of magnitude bigger than the tangential elastic moduli. Regression analysis of longitudinal bulk modulus and tangential elastic modulus revealed a quadratic relation. The bulk modulus seemed to be independent of tension, whereas the elastic modulus was tension-dependent. Greater corneal hydration led to significantly thicker pachymetry. CONCLUSION Corneal biomechanics are highly dependent on the level of corneal hydration. Surprisingly, tangential elastic moduli were more sensitive to hydration changes than longitudinal bulk moduli. A quadratic relation was found between both moduli.
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Affiliation(s)
- Theo G Seiler
- Wellman Center for Photomedicine - Massachusetts General Hospital, Harvard Medical School, Harvard University, 50 Blossom Street, Boston, MA, 02114, USA. .,Universitätsklinik für Augenheilkunde, Inselspital, 3010, Bern, Switzerland. .,Institut für Refraktive und Ophthalmo-Chirurgie (IROC), Stockerstrasse 37, 8002 Zürich, Switzerland, .
| | - Peng Shao
- Wellman Center for Photomedicine - Massachusetts General Hospital, Harvard Medical School, Harvard University, 50 Blossom Street, Boston, MA, 02114, USA
| | - Beatrice E Frueh
- Universitätsklinik für Augenheilkunde, Inselspital, 3010, Bern, Switzerland
| | - Seok-Hyun Yun
- Wellman Center for Photomedicine - Massachusetts General Hospital, Harvard Medical School, Harvard University, 50 Blossom Street, Boston, MA, 02114, USA
| | - Theo Seiler
- Institut für Refraktive und Ophthalmo-Chirurgie (IROC), Stockerstrasse 37, 8002 Zürich, Switzerland
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