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Tang T, Casagrande T, Mohammadpour P, Landis W, Lievers B, Grandfield K. Characterization of human trabecular bone across multiple length scales using a correlative approach combining X-ray tomography with LaserFIB and plasma FIB-SEM. Sci Rep 2024; 14:21604. [PMID: 39285214 PMCID: PMC11405866 DOI: 10.1038/s41598-024-72739-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/11/2024] [Accepted: 09/10/2024] [Indexed: 09/20/2024] Open
Abstract
Three-dimensional correlative multimodal and multiscale imaging is an emerging method for investigating the complex hierarchical structure of biological materials such as bone. This approach synthesizes images acquired across multiple length scales, for the same region of interest, to provide a comprehensive view of the material structure of a sample. Here, we develop a workflow for the structural analysis of human trabecular bone using a femtosecond laser to produce a precise grid to facilitate correlation between imaging modalities and identification of structures of interest, in this case, a single trabecula within a volume of trabecular bone. Through such image registration, high resolution X-ray microscopy imaging revealed fine architectural details, including the cement sheath and bone cell lacunae of the selected bone trabecula. The selected bone volume was exposed with a combination of manual polishing and site-specific femtosecond laser ablation and then examined with plasma focused ion beam-scanning electron microscopy. This reliable and versatile correlation approach has the potential to be applied to a variety of biological tissues and traditional engineered materials. The proposed workflow has the enhanced capability for generating highly resolved and broadly contextualized structural data for a better understanding of the architectural features of a material spanning its macroscopic to nanoscopic levels.
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Affiliation(s)
- Tengteng Tang
- Department of Materials Science and Engineering, McMaster University, Hamilton, Canada.
- Center for Applied Biomechanics, Department of Mechanical and Aerospace Engineering, School of Engineering and Applied Science, University of Virginia, Charlottesville, USA.
| | - Travis Casagrande
- Canadian Centre for Electron Microscopy, McMaster University, Hamilton, Canada
| | - Pardis Mohammadpour
- Canadian Centre for Electron Microscopy, McMaster University, Hamilton, Canada
| | - William Landis
- Department of Preventive and Restorative Dental Sciences, University of California at San Francisco, San Francisco, USA
| | - Brent Lievers
- Bharti School of Engineering and Computer Science, Laurentian University, Sudbury, Canada
| | - Kathryn Grandfield
- Department of Materials Science and Engineering, McMaster University, Hamilton, Canada
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2
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Georgiadis M, auf der Heiden F, Abbasi H, Ettema L, Nirschl J, Moein Taghavi H, Wakatsuki M, Liu A, Ho WHD, Carlson M, Doukas M, Koppes SA, Keereweer S, Sobel RA, Setsompop K, Liao C, Amunts K, Axer M, Zeineh M, Menzel M. Micron-resolution fiber mapping in histology independent of sample preparation. BIORXIV : THE PREPRINT SERVER FOR BIOLOGY 2024:2024.03.26.586745. [PMID: 38585744 PMCID: PMC10996646 DOI: 10.1101/2024.03.26.586745] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/09/2024]
Abstract
Detailed knowledge of the brain's nerve fiber network is crucial for understanding its function in health and disease. However, mapping fibers with high resolution remains prohibitive in most histological sections because state-of-the-art techniques are incompatible with their preparation. Here, we present a micron-resolution light-scattering-based technique that reveals intricate fiber networks independent of sample preparation for extended fields of view. We uncover fiber structures in both label-free and stained, paraffin-embedded and deparaffinized, newly-prepared and archived, animal and human brain tissues - including whole-brain sections from the BigBrain atlas. We identify altered microstructures in demyelination and hippocampal neurodegeneration, and show key advantages over diffusion magnetic resonance imaging, polarization microscopy, and structure tensor analysis. We also reveal structures in non-brain tissues - including muscle, bone, and blood vessels. Our cost-effective, versatile technique enables studies of intricate fiber networks in any type of histological tissue section, offering a new dimension to neuroscientific and biomedical research.
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Affiliation(s)
- Marios Georgiadis
- Department of Radiology, Stanford University, Stanford, CA 94305, USA
| | - Franca auf der Heiden
- Institute of Neuroscience and Medicine (INM-1), Forschungszentrum Jülich GmbH, Jülich, Germany
| | - Hamed Abbasi
- Department of Imaging Physics, Faculty of Applied Sciences, Delft University of Technology, Delft, the Netherlands
- Department of Otorhinolaryngology and Head and Neck Surgery, Erasmus MC, University Medical Center Rotterdam, Rotterdam, the Netherlands
| | - Loes Ettema
- Department of Imaging Physics, Faculty of Applied Sciences, Delft University of Technology, Delft, the Netherlands
| | - Jeffrey Nirschl
- Department of Pathology, Stanford University, Stanford, CA 94305, USA
| | | | - Moe Wakatsuki
- Department of Radiology, Stanford University, Stanford, CA 94305, USA
| | - Andy Liu
- Department of Radiology, Stanford University, Stanford, CA 94305, USA
| | | | - Mackenzie Carlson
- Department of Radiology, Stanford University, Stanford, CA 94305, USA
- Department of Neurology and Neurological Sciences, Stanford University, Stanford, CA 94305, USA
| | - Michail Doukas
- Department of Pathology, Erasmus MC, University Medical Center Rotterdam, Rotterdam, the Netherlands
| | - Sjors A. Koppes
- Department of Pathology, Erasmus MC, University Medical Center Rotterdam, Rotterdam, the Netherlands
| | - Stijn Keereweer
- Department of Otorhinolaryngology and Head and Neck Surgery, Erasmus MC, University Medical Center Rotterdam, Rotterdam, the Netherlands
| | - Raymond A. Sobel
- Department of Pathology, Stanford University, Stanford, CA 94305, USA
| | - Kawin Setsompop
- Department of Radiology, Stanford University, Stanford, CA 94305, USA
| | - Congyu Liao
- Department of Radiology, Stanford University, Stanford, CA 94305, USA
| | - Katrin Amunts
- Institute of Neuroscience and Medicine (INM-1), Forschungszentrum Jülich GmbH, Jülich, Germany
- C. and O. Vogt Institute for Brain Research, University Hospital Düsseldorf, Medical Faculty, University Düsseldorf, Germany
| | - Markus Axer
- Institute of Neuroscience and Medicine (INM-1), Forschungszentrum Jülich GmbH, Jülich, Germany
- Department of Physics, School of Mathematics and Natural Sciences, University of Wuppertal, Wuppertal, Germany
| | - Michael Zeineh
- Department of Radiology, Stanford University, Stanford, CA 94305, USA
| | - Miriam Menzel
- Institute of Neuroscience and Medicine (INM-1), Forschungszentrum Jülich GmbH, Jülich, Germany
- Department of Imaging Physics, Faculty of Applied Sciences, Delft University of Technology, Delft, the Netherlands
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3
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Georgiadis M, Menzel M, Reuter JA, Born DE, Kovacevich SR, Alvarez D, Taghavi HM, Schroeter A, Rudin M, Gao Z, Guizar-Sicairos M, Weiss TM, Axer M, Rajkovic I, Zeineh MM. Imaging crossing fibers in mouse, pig, monkey, and human brain using small-angle X-ray scattering. Acta Biomater 2023; 164:317-331. [PMID: 37098400 PMCID: PMC10811447 DOI: 10.1016/j.actbio.2023.04.029] [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: 11/28/2022] [Revised: 04/15/2023] [Accepted: 04/18/2023] [Indexed: 04/27/2023]
Abstract
Myelinated axons (nerve fibers) efficiently transmit signals throughout the brain via action potentials. Multiple methods that are sensitive to axon orientations, from microscopy to magnetic resonance imaging, aim to reconstruct the brain's structural connectome. As billions of nerve fibers traverse the brain with various possible geometries at each point, resolving fiber crossings is necessary to generate accurate structural connectivity maps. However, doing so with specificity is a challenging task because signals originating from oriented fibers can be influenced by brain (micro)structures unrelated to myelinated axons. X-ray scattering can specifically probe myelinated axons due to the periodicity of the myelin sheath, which yields distinct peaks in the scattering pattern. Here, we show that small-angle X-ray scattering (SAXS) can be used to detect myelinated, axon-specific fiber crossings. We first demonstrate the capability using strips of human corpus callosum to create artificial double- and triple-crossing fiber geometries, and we then apply the method in mouse, pig, vervet monkey, and human brains. We compare results to polarized light imaging (3D-PLI), tracer experiments, and to outputs from diffusion MRI that sometimes fails to detect crossings. Given its specificity, capability of 3-dimensional sampling and high resolution, SAXS could serve as a ground truth for validating fiber orientations derived using diffusion MRI as well as microscopy-based methods. STATEMENT OF SIGNIFICANCE: To study how the nerve fibers in our brain are interconnected, scientists need to visualize their trajectories, which often cross one another. Here, we show the unique capacity of small-angle X-ray scattering (SAXS) to study these fiber crossings without use of labeling, taking advantage of SAXS's specificity to myelin - the insulating sheath that is wrapped around nerve fibers. We use SAXS to detect double and triple crossing fibers and unveil intricate crossings in mouse, pig, vervet monkey, and human brains. This non-destructive method can uncover complex fiber trajectories and validate other less specific imaging methods (e.g., MRI or microscopy), towards accurate mapping of neuronal connectivity in the animal and human brain.
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Affiliation(s)
- Marios Georgiadis
- Department of Radiology, Stanford School of Medicine, Stanford, CA, USA; Institute for Biomedical Engineering, ETH Zurich and University of Zurich, Zurich, Switzerland.
| | - Miriam Menzel
- Institute of Neuroscience and Medicine (INM-1), Forschungszentrum Jülich GmbH, Jülich 52425, Germany; Department of Imaging Physics, Delft University of Technology, Delft, the Netherlands
| | - Jan A Reuter
- Institute of Neuroscience and Medicine (INM-1), Forschungszentrum Jülich GmbH, Jülich 52425, Germany
| | - Donald E Born
- Department of Pathology, Stanford School of Medicine, Stanford, CA, USA
| | | | - Dario Alvarez
- Department of Radiology, Stanford School of Medicine, Stanford, CA, USA
| | | | - Aileen Schroeter
- Institute for Biomedical Engineering, ETH Zurich and University of Zurich, Zurich, Switzerland
| | - Markus Rudin
- Institute for Biomedical Engineering, ETH Zurich and University of Zurich, Zurich, Switzerland
| | - Zirui Gao
- Institute for Biomedical Engineering, ETH Zurich and University of Zurich, Zurich, Switzerland
| | | | - Thomas M Weiss
- SLAC National Accelerator Laboratory, Stanford Synchrotron Radiation Lightsource, USA
| | - Markus Axer
- Institute of Neuroscience and Medicine (INM-1), Forschungszentrum Jülich GmbH, Jülich 52425, Germany
| | - Ivan Rajkovic
- SLAC National Accelerator Laboratory, Stanford Synchrotron Radiation Lightsource, USA
| | - Michael M Zeineh
- Department of Radiology, Stanford School of Medicine, Stanford, CA, USA
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Casanova EA, Rodriguez-Palomo A, Stähli L, Arnke K, Gröninger O, Generali M, Neldner Y, Tiziani S, Dominguez AP, Guizar-Sicairos M, Gao Z, Appel C, Nielsen LC, Georgiadis M, Weber FE, Stark W, Pape HC, Cinelli P, Liebi M. SAXS imaging reveals optimized osseointegration properties of bioengineered oriented 3D-PLGA/aCaP scaffolds in a critical size bone defect model. Biomaterials 2023; 294:121989. [PMID: 36628888 DOI: 10.1016/j.biomaterials.2022.121989] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/12/2022] [Revised: 12/01/2022] [Accepted: 12/24/2022] [Indexed: 01/03/2023]
Abstract
Healing large bone defects remains challenging in orthopedic surgery and is often associated with poor outcomes and complications. A major issue with bioengineered constructs is achieving a continuous interface between host bone and graft to enhance biological processes and mechanical stability. In this study, we have developed a new bioengineering strategy to produce oriented biocompatible 3D PLGA/aCaP nanocomposites with enhanced osseointegration. Decellularized scaffolds -containing only extracellular matrix- or scaffolds seeded with adipose-derived mesenchymal stromal cells were tested in a mouse model for critical size bone defects. In parallel to micro-CT analysis, SAXS tensor tomography and 2D scanning SAXS were employed to determine the 3D arrangement and nanostructure within the critical-sized bone. Both newly developed scaffold types, seeded with cells or decellularized, showed high osseointegration, higher bone quality, increased alignment of collagen fibers and optimal alignment and size of hydroxyapatite minerals.
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Affiliation(s)
- Elisa A Casanova
- Department of Trauma Surgery, University of Zurich, University Hospital Zurich, Zurich, Switzerland
| | | | - Lisa Stähli
- Department of Trauma Surgery, University of Zurich, University Hospital Zurich, Zurich, Switzerland
| | - Kevin Arnke
- Department of Trauma Surgery, University of Zurich, University Hospital Zurich, Zurich, Switzerland
| | - Olivier Gröninger
- Institute for Chemical and Bioengineering, ETH Zurich, Zurich, Switzerland
| | - Melanie Generali
- Institute for Regenerative Medicine (IREM), Center for Therapy Development and Good Manufacturing Practice, University of Zurich, Zurich, Switzerland
| | - Yvonne Neldner
- Department of Trauma Surgery, University of Zurich, University Hospital Zurich, Zurich, Switzerland
| | - Simon Tiziani
- Department of Trauma Surgery, University of Zurich, University Hospital Zurich, Zurich, Switzerland
| | - Ana Perez Dominguez
- Oral Biotechnology and Bioengineering, Department of Cranio-Maxillofacial and Oral Surgery, Center for Dental Medicine, University of Zurich, Zurich, Switzerland
| | | | - Zirui Gao
- Swiss Light Source, Paul Scherrer Institute, Villigen, Switzerland
| | - Christian Appel
- Swiss Light Source, Paul Scherrer Institute, Villigen, Switzerland
| | - Leonard C Nielsen
- Department of Physics, Chalmers University of Technology, Gothenburg, Sweden
| | - Marios Georgiadis
- Department of Radiology, Stanford School of Medicine, Stanford, CA, USA
| | - Franz E Weber
- Oral Biotechnology and Bioengineering, Department of Cranio-Maxillofacial and Oral Surgery, Center for Dental Medicine, University of Zurich, Zurich, Switzerland
| | - Wendelin Stark
- Institute for Chemical and Bioengineering, ETH Zurich, Zurich, Switzerland
| | - Hans-Christoph Pape
- Department of Trauma Surgery, University of Zurich, University Hospital Zurich, Zurich, Switzerland
| | - Paolo Cinelli
- Department of Trauma Surgery, University of Zurich, University Hospital Zurich, Zurich, Switzerland; Center for Applied Biotechnology and Molecular Medicine (CABMM), University of Zurich, Zurich, Switzerland.
| | - Marianne Liebi
- Department of Physics, Chalmers University of Technology, Gothenburg, Sweden; Centre for X-ray Analytics, Swiss Federal Laboratories for Materials Science and Technology (EMPA), St. Gallen, Switzerland
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Hierarchical Structure and Properties of the Bone at Nano Level. Bioengineering (Basel) 2022; 9:bioengineering9110677. [PMID: 36354587 PMCID: PMC9687701 DOI: 10.3390/bioengineering9110677] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/13/2022] [Revised: 11/04/2022] [Accepted: 11/08/2022] [Indexed: 11/13/2022] Open
Abstract
Bone is a highly hierarchical complex structure that consists of organic and mineral components represented by collagen molecules (CM) and hydroxyapatite crystals (HAC), respectively. The nanostructure of bone can significantly affect its mechanical properties. There is a lack of understanding how collagen fibrils (CF) in different orientations may affect the mechanical properties of the bone. The objective of this study is to investigate the effect of interaction, orientation, and hydration on atomic models of the bone composed of collagen helix (CH) and HAC, using molecular dynamics simulations and therefrom bone-related disease origins. The results demonstrate that the mechanical properties of the bone are affected significantly by the orientation of the CF attributed to contact areas at 0° and 90° models. The molecular dynamics simulation illustrated that there is significant difference (p < 0.005) in the ultimate tensile strength and toughness with respect to the orientation of the hydrated and un-hydrated CF. Additionally, the results indicated that having the force in a longitudinal direction (0°) provides more strength compared with the CF in the perpendicular direction (90°). Furthermore, the results show that substituting glycine (GLY) with any other amino acid affects the mechanical properties and strength of the CH, collagen−hydroxyapatite interface, and eventually affects the HAC. Generally, hydration dramatically influences bone tissue elastic properties, and any change in the orientation or any abnormality in the atomic structure of either the CM or the HAC would be the main reason of the fragility in the bone, affecting bone pathology.
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Megías R, Vercher-Martínez A, Belda R, Peris JL, Larrainzar-Garijo R, Giner E, Fuenmayor FJ. Numerical modelling of cancellous bone damage using an orthotropic failure criterion and tissue elastic properties as a function of the mineral content and microporosity. COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 2022; 219:106764. [PMID: 35366593 DOI: 10.1016/j.cmpb.2022.106764] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/22/2021] [Revised: 03/07/2022] [Accepted: 03/18/2022] [Indexed: 05/25/2023]
Abstract
BACKGROUND AND OBJECTIVE Elastic and strength properties of lamellar tissue are essential to analyze the mechanical behaviour of bone at the meso- or macro-scale. Although many efforts have been made to model the architecture of cancellous bone, in general, isotropic elastic constants are assumed for tissue modelling, neglecting its non-isotropic behaviour. Therefore, isotropic damage laws are often used to estimate the bone failure. The main goals of this work are: (1) to present a new model for the estimation of the elastic properties of lamellar tissue which includes the bone mineral density (BMD) and the microporosity, (2) to address the numerical modelling of cancellous bone damage using an orthotropic failure criterion and a discrete damage mechanics analysis, including the novel approach for the tissue elastic properties aforementioned. METHODS Numerical homogenization has been used to estimate the elastic properties of lamellar bone considering BMD and microporosity. Microcomputed Tomography (μ-CT) scans have been performed to obtain the micro-finite element (μ-FE) model of cancellous bone from a vertebra of swine. In this model, lamellar tissue is orientated by considering a unidirectional layer pattern being the mineralized collagen fibrils aligned with the most representative geometrical feature of the trabeculae network. We have considered the Hashin's failure criterion and the Material Property Degradation (MPDG) method for simulating the onset and evolution of bone damage. RESULTS The terms of the stiffness matrix for lamellar tissue are derived as functions of the BMD and microporosity at tissue scale. Results obtained for the apparent yield strain values agree with experimental values found in the literature. The influence of the damage parameters on the bone mechanics behaviour is also presented. CONCLUSIONS Stiffness matrix of lamellar tissue depends on both BMD and microporosity. The new approach presented in this work enables to analyze the influence of the BMD and porosity on the mechanical response of bone. Lamellar tissue orientation has to be considered in the mechanical analysis of the cancellous bone. An orthotropic failure criterion can be used to analyze the bone failure onset instead of isotropic criteria. The elastic property degradation method is an efficient procedure to analyze the failure propagation in a 3D numerical model.
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Affiliation(s)
- Raquel Megías
- Dept. de Ingeniería Mecánica y de Materiales. Instituto de Ingeniería Mecánica y Biomecánica de Valencia - I2MB, Universitat Politècnica de València, Camino de Vera, Building 5E-9C, Valencia 46022, Spain
| | - Ana Vercher-Martínez
- Dept. de Ingeniería Mecánica y de Materiales. Instituto de Ingeniería Mecánica y Biomecánica de Valencia - I2MB, Universitat Politècnica de València, Camino de Vera, Building 5E-9C, Valencia 46022, Spain.
| | - Ricardo Belda
- Dept. de Ingeniería Mecánica y de Materiales. Instituto de Ingeniería Mecánica y Biomecánica de Valencia - I2MB, Universitat Politècnica de València, Camino de Vera, Building 5E-9C, Valencia 46022, Spain
| | - José Luis Peris
- Instituto de Ingeniería Mecánica y Biomecánica de Valencia - I2MB, Healthcare Technology Group (GTS-IBV), Universitat Politècnica de València, Camino de Vera, Building 5E-9C, Valencia 46022, Spain
| | - Ricardo Larrainzar-Garijo
- Orthopedic and Trauma Department, Hospital Universitario Infanta Leonor, Medical School, Universidad Complutense Madrid, Spain
| | - Eugenio Giner
- Dept. de Ingeniería Mecánica y de Materiales. Instituto de Ingeniería Mecánica y Biomecánica de Valencia - I2MB, Universitat Politècnica de València, Camino de Vera, Building 5E-9C, Valencia 46022, Spain
| | - F Javier Fuenmayor
- Dept. de Ingeniería Mecánica y de Materiales. Instituto de Ingeniería Mecánica y Biomecánica de Valencia - I2MB, Universitat Politècnica de València, Camino de Vera, Building 5E-9C, Valencia 46022, Spain
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7
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Vertebrate Taphonomy and Diagenesis: Implications of Structural and Compositional Alterations of Phosphate Biominerals. MINERALS 2022. [DOI: 10.3390/min12020180] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Abstract
Biominerals are recorders of evolution and palaeoenvironments. Predation is one of the most frequent modes leading to the concentration of small vertebrates in fossil assemblages. Consumption by predators produces damages on bones and teeth from prey species, and one of the greatest challenges to taphonomists is differentiating original biological and secondary, geologically altered attributes of fossils. Excellent morphological preservation is often used to assume that the structure and composition of fossils are not modified. Nevertheless, during predation and fossilization, both the physical structure and chemical composition of enamel, dentine and bone are altered, the degree and extent of which varies from site to site, depending on the nature of the burial environment. A relationship between the surficial alterations and the compositional changes which take place during fossilization has yet to be established. Herein, I present a review of old and recent taphonomic studies that collectively reveal the wide diversity of microstructural and chemical changes that typically take place during fossilization of vertebrate remains, including common taphonomic biases and the challenges inherent to reconstructing the history of vertebrate fossil assemblages.
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Abstract
Understanding the properties of bone is of both fundamental and clinical relevance. The basis of bone’s quality and mechanical resilience lies in its nanoscale building blocks (i.e., mineral, collagen, non-collagenous proteins, and water) and their complex interactions across length scales. Although the structure–mechanical property relationship in healthy bone tissue is relatively well characterized, not much is known about the molecular-level origin of impaired mechanics and higher fracture risks in skeletal disorders such as osteoporosis or Paget’s disease. Alterations in the ultrastructure, chemistry, and nano-/micromechanics of bone tissue in such a diverse group of diseased states have only been briefly explored. Recent research is uncovering the effects of several non-collagenous bone matrix proteins, whose deficiencies or mutations are, to some extent, implicated in bone diseases, on bone matrix quality and mechanics. Herein, we review existing studies on ultrastructural imaging—with a focus on electron microscopy—and chemical, mechanical analysis of pathological bone tissues. The nanometric details offered by these reports, from studying knockout mice models to characterizing exact disease phenotypes, can provide key insights into various bone pathologies and facilitate the development of new treatments.
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9
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Maiti S, Frielinghaus H, Gräßel D, Dulle M, Axer M, Förster S. Distribution and orientation of nerve fibers and myelin assembly in a brain section retrieved by small-angle neutron scattering. Sci Rep 2021; 11:17306. [PMID: 34453063 PMCID: PMC8397781 DOI: 10.1038/s41598-021-92995-2] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/24/2021] [Accepted: 05/24/2021] [Indexed: 11/29/2022] Open
Abstract
The structural connectivity of the brain has been addressed by various imaging techniques such as diffusion weighted magnetic resonance imaging (DWMRI) or specific microscopic approaches based on histological staining or label-free using polarized light (e.g., three-dimensional Polarized Light Imaging (3D-PLI), Optical Coherence Tomography (OCT)). These methods are sensitive to different properties of the fiber enwrapping myelin sheaths i.e. the distribution of myelin basic protein (histology), the apparent diffusion coefficient of water molecules restricted in their movements by the myelin sheath (DWMRI), and the birefringence of the oriented myelin lipid bilayers (3D-PLI, OCT). We show that the orientation and distribution of nerve fibers as well as myelin in thin brain sections can be determined using scanning small angle neutron scattering (sSANS). Neutrons are scattered from the fiber assembly causing anisotropic diffuse small-angle scattering and Bragg peaks related to the highly ordered periodic myelin multilayer structure. The scattering anisotropy, intensity, and angular position of the Bragg peaks can be mapped across the entire brain section. This enables mapping of the fiber and myelin distribution and their orientation in a thin brain section, which was validated by 3D-PLI. The experiments became possible by optimizing the neutron beam collimation to highest flux and enhancing the myelin contrast by deuteration. This method is very sensitive to small microstructures of biological tissue and can directly extract information on the average fiber orientation and even myelin membrane thickness. The present results pave the way toward bio-imaging for detecting structural aberrations causing neurological diseases in future.
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Affiliation(s)
- Santanu Maiti
- Jülich Centre of Neutron Science (JCNS-1/IBI-8), Forschungszentrum Jülich GmbH, 52425, Jülich, Germany.,Institute of Neuroscience and Medicine (INM-1), Forschungszentrum Jülich GmbH, 52425, Jülich, Germany
| | - Henrich Frielinghaus
- Jülich Centre for Neutron Science at Heinz Maier-Leibnitz Zentrum (JCNS-MLZ), Forschungszentrum Jülich GmbH, 85748, Garching, Germany
| | - David Gräßel
- Institute of Neuroscience and Medicine (INM-1), Forschungszentrum Jülich GmbH, 52425, Jülich, Germany
| | - Martin Dulle
- Jülich Centre of Neutron Science (JCNS-1/IBI-8), Forschungszentrum Jülich GmbH, 52425, Jülich, Germany
| | - Markus Axer
- Institute of Neuroscience and Medicine (INM-1), Forschungszentrum Jülich GmbH, 52425, Jülich, Germany
| | - Stephan Förster
- Jülich Centre of Neutron Science (JCNS-1/IBI-8), Forschungszentrum Jülich GmbH, 52425, Jülich, Germany. .,Institute of Physical Chemistry, RWTH Aachen University, 52074, Aachen, Germany.
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10
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De Falco P, Weinkamer R, Wagermaier W, Li C, Snow T, Terrill NJ, Gupta HS, Goyal P, Stoll M, Benner P, Fratzl P. Tomographic X-ray scattering based on invariant reconstruction: analysis of the 3D nanostructure of bovine bone. J Appl Crystallogr 2021; 54:486-497. [PMID: 33953654 PMCID: PMC8056764 DOI: 10.1107/s1600576721000881] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/08/2020] [Accepted: 01/25/2021] [Indexed: 11/20/2022] Open
Abstract
Small-angle X-ray scattering (SAXS) is an effective characterization technique for multi-phase nanocomposites. The structural complexity and heterogeneity of biological materials require the development of new techniques for the 3D characterization of their hierarchical structures. Emerging SAXS tomographic methods allow reconstruction of the 3D scattering pattern in each voxel but are costly in terms of synchrotron measurement time and computer time. To address this problem, an approach has been developed based on the reconstruction of SAXS invariants to allow for fast 3D characterization of nanostructured inhomogeneous materials. SAXS invariants are scalars replacing the 3D scattering patterns in each voxel, thus simplifying the 6D reconstruction problem to several 3D ones. Standard procedures for tomographic reconstruction can be directly adapted for this problem. The procedure is demonstrated by determining the distribution of the nanometric bone mineral particle thickness (T parameter) throughout a macroscopic 3D volume of bovine cortical bone. The T parameter maps display spatial patterns of particle thickness in fibrolamellar bone units. Spatial correlation between the mineral nano-structure and microscopic features reveals that the mineral particles are particularly thin in the vicinity of vascular channels.
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Affiliation(s)
- Paolino De Falco
- Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Am Mühlenberg 1, 14476 Potsdam, Germany
| | - Richard Weinkamer
- Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Am Mühlenberg 1, 14476 Potsdam, Germany
| | - Wolfgang Wagermaier
- Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Am Mühlenberg 1, 14476 Potsdam, Germany
| | - Chenghao Li
- Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Am Mühlenberg 1, 14476 Potsdam, Germany
| | - Tim Snow
- Diamond Light Source Ltd, Diamond House, Harwell Science and Innovation Campus, Didcot, Oxfordshire OX11 0DE, United Kingdom
| | - Nicholas J. Terrill
- Diamond Light Source Ltd, Diamond House, Harwell Science and Innovation Campus, Didcot, Oxfordshire OX11 0DE, United Kingdom
| | - Himadri S. Gupta
- School of Engineering and Materials Science, Queen Mary University of London, London E1 4NS, United Kingdom
| | - Pawan Goyal
- Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstrasse 1, 39106 Magdeburg, Germany
| | - Martin Stoll
- Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstrasse 1, 39106 Magdeburg, Germany
- Department of Mathematics, TU Chemnitz, Reichenhainer Strasse 41, 09126 Chemnitz, Germany
| | - Peter Benner
- Max Planck Institute for Dynamics of Complex Technical Systems, Sandtorstrasse 1, 39106 Magdeburg, Germany
| | - Peter Fratzl
- Department of Biomaterials, Max Planck Institute of Colloids and Interfaces, Am Mühlenberg 1, 14476 Potsdam, Germany
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11
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Guizar-Sicairos M, Georgiadis M, Liebi M. Validation study of small-angle X-ray scattering tensor tomography. JOURNAL OF SYNCHROTRON RADIATION 2020; 27:779-787. [PMID: 32381781 PMCID: PMC7206543 DOI: 10.1107/s1600577520003860] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 09/23/2019] [Accepted: 03/16/2020] [Indexed: 06/11/2023]
Abstract
Small-angle scattering tensor tomography (SASTT) is a recently developed technique able to tomographically reconstruct the 3D reciprocal space from voxels within a bulk volume. SASTT extends the concept of X-ray computed tomography, which typically reconstructs scalar values, by reconstructing a tensor per voxel, which represents the local nanostructure 3D organization. In this study, the nanostructure orientation in a human trabecular-bone sample obtained by SASTT was validated by sectioning the sample and using 3D scanning small-angle X-ray scattering (3D sSAXS) to measure and analyze the orientation from single voxels within each thin section. Besides the presence of cutting artefacts from the slicing process, the nanostructure orientations obtained with the two independent methods were in good agreement, as quantified with the absolute value of the dot product calculated between the nanostructure main orientations obtained in each voxel. The average dot product per voxel over the full sample containing over 10 000 voxels was 0.84, and in six slices, in which fewer cutting artefacts were observed, the dot product increased to 0.91. In addition, SAXS tensor tomography not only yields orientation information but can also reconstruct the full 3D reciprocal-space map. It is shown that the measured anisotropic scattering for individual voxels was reproduced from the SASTT reconstruction in each voxel of the 3D sample. The scattering curves along different 3D directions are validated with data from single voxels, demonstrating SASTT's potential for a separate analysis of nanostructure orientation and structural information from the angle-dependent intensity distribution.
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Affiliation(s)
| | - Marios Georgiadis
- Institute for Biomechanics, ETH Zurich, 8093 Zurich, Switzerland
- Stanford Medicine, Stanford University, Stanford, CA 94305, USA
| | - Marianne Liebi
- Paul Scherrer Institute (PSI), 5232 Villigen, Switzerland
- Department of Physics, Chalmers University of Technology, 41296 Gothenburg, Sweden
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12
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Georgiadis M, Schroeter A, Gao Z, Guizar-Sicairos M, Novikov DS, Fieremans E, Rudin M. Retrieving neuronal orientations using 3D scanning SAXS and comparison with diffusion MRI. Neuroimage 2019; 204:116214. [PMID: 31568873 DOI: 10.1016/j.neuroimage.2019.116214] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/06/2019] [Revised: 09/06/2019] [Accepted: 09/18/2019] [Indexed: 01/08/2023] Open
Abstract
While diffusion MRI (dMRI) is currently the method of choice to non-invasively probe tissue microstructure and study structural connectivity in the brain, its spatial resolution is limited and its results need structural validation. Current ex vivo methods employed to provide 3D fiber orientations have limitations, including tissue-distorting sample preparation, small field of view or inability to quantify 3D fiber orientation distributions. 3D fiber orientation in tissue sections can be obtained from 3D scanning small-angle X-ray scattering (3D sSAXS) by analyzing the anisotropy of scattering signals. Here we adapt the 3D sSAXS method for use in brain tissue, exploiting the high sensitivity of the SAXS signal to the ordered molecular structure of myelin. We extend the characterization of anisotropy from vectors to tensors, employ the Funk-Radon-Transform for converting scattering information to real space fiber orientations, and demonstrate the feasibility of the method in thin sections of mouse brain with minimal sample preparation. We obtain a second rank tensor representing the fiber orientation distribution function (fODF) for every voxel, thereby generating fODF maps. Finally, we illustrate the potential of 3D sSAXS by comparing the result with diffusion MRI fiber orientations in the same mouse brain. We show a remarkably good correspondence, considering the orthogonality of the two methods, i.e. the different physical processes underlying the two signals. 3D sSAXS can serve as validation method for microstructural MRI, and can provide novel microstructural insights for the nervous system, given the method's orthogonality to dMRI, high sensitivity to myelin sheath's orientation and abundance, and the possibility to extract myelin-specific signal and to perform micrometer-resolution scanning.
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Affiliation(s)
- Marios Georgiadis
- Institute for Biomedical Engineering, ETH Zurich, Zurich, Switzerland; Center for Biomedical Imaging, Department of Radiology, New York University School of Medicine, USA; Department of Radiology, Stanford Medicine, USA.
| | - Aileen Schroeter
- Institute for Biomedical Engineering, ETH Zurich, Zurich, Switzerland
| | - Zirui Gao
- Institute for Biomedical Engineering, ETH Zurich, Zurich, Switzerland; Paul Scherrer Institute, Villigen, Switzerland
| | | | - Dmitry S Novikov
- Center for Biomedical Imaging, Department of Radiology, New York University School of Medicine, USA
| | - Els Fieremans
- Center for Biomedical Imaging, Department of Radiology, New York University School of Medicine, USA
| | - Markus Rudin
- Institute for Biomedical Engineering, ETH Zurich, Zurich, Switzerland; Institute of Pharmacology and Toxicology, University of Zurich, Zurich, Switzerland
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13
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Gao Z, Guizar-Sicairos M, Lutz-Bueno V, Schröter A, Liebi M, Rudin M, Georgiadis M. High-speed tensor tomography: iterative reconstruction tensor tomography (IRTT) algorithm. Acta Crystallogr A Found Adv 2019; 75:223-238. [PMID: 30821257 PMCID: PMC6396401 DOI: 10.1107/s2053273318017394] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/13/2018] [Accepted: 12/08/2018] [Indexed: 11/10/2022] Open
Abstract
The recent advent of tensor tomography techniques has enabled tomographic investigations of the 3D nanostructure organization of biological and material science samples. These techniques extended the concept of conventional X-ray tomography by reconstructing not only a scalar value such as the attenuation coefficient per voxel, but also a set of parameters that capture the local anisotropy of nanostructures within every voxel of the sample. Tensor tomography data sets are intrinsically large as each pixel of a conventional X-ray projection is substituted by a scattering pattern, and projections have to be recorded at different sample angular orientations with several tilts of the rotation axis with respect to the X-ray propagation direction. Currently available reconstruction approaches for such large data sets are computationally expensive. Here, a novel, fast reconstruction algorithm, named iterative reconstruction tensor tomography (IRTT), is presented to simplify and accelerate tensor tomography reconstructions. IRTT is based on a second-rank tensor model to describe the anisotropy of the nanostructure in every voxel and on an iterative error backpropagation reconstruction algorithm to achieve high convergence speed. The feasibility and accuracy of IRTT are demonstrated by reconstructing the nanostructure anisotropy of three samples: a carbon fiber knot, a human bone trabecula specimen and a fixed mouse brain. Results and reconstruction speed were compared with those obtained by the small-angle scattering tensor tomography (SASTT) reconstruction method introduced by Liebi et al. [Nature (2015), 527, 349-352]. The principal orientation of the nanostructure within each voxel revealed a high level of agreement between the two methods. Yet, for identical data sets and computer hardware used, IRTT was shown to be more than an order of magnitude faster. IRTT was found to yield robust results, it does not require prior knowledge of the sample for initializing parameters, and can be used in cases where simple anisotropy metrics are sufficient, i.e. the tensor approximation adequately captures the level of anisotropy and the dominant orientation within a voxel. In addition, by greatly accelerating the reconstruction, IRTT is particularly suitable for handling large tomographic data sets of samples with internal structure or as a real-time analysis tool during the experiment for online feedback during data acquisition. Alternatively, the IRTT results might be used as an initial guess for models capturing a higher complexity of structural anisotropy such as spherical harmonics based SASTT in Liebi et al. (2015), improving both overall convergence speed and robustness of the reconstruction.
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Affiliation(s)
- Zirui Gao
- Paul Scherrer Institut, Villigen PSI, 5232, Switzerland
- Institute for Biomedical Engineering, ETH Zurich, Zurich, 8093, Switzerland
| | | | | | - Aileen Schröter
- Institute for Biomedical Engineering, ETH Zurich, Zurich, 8093, Switzerland
| | - Marianne Liebi
- Paul Scherrer Institut, Villigen PSI, 5232, Switzerland
- Chalmers University of Technology, Gothenburg, SE-412 96, Sweden
| | - Markus Rudin
- Institute for Biomedical Engineering, ETH Zurich, Zurich, 8093, Switzerland
| | - Marios Georgiadis
- Institute for Biomedical Engineering, ETH Zurich, Zurich, 8093, Switzerland
- New York University Medical Center, New York, NY 10016, USA
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14
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Imbert L, Gourion-Arsiquaud S, Villarreal-Ramirez E, Spevak L, Taleb H, van der Meulen MCH, Mendelsohn R, Boskey AL. Dynamic structure and composition of bone investigated by nanoscale infrared spectroscopy. PLoS One 2018; 13:e0202833. [PMID: 30180177 PMCID: PMC6122783 DOI: 10.1371/journal.pone.0202833] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/20/2018] [Accepted: 08/09/2018] [Indexed: 12/11/2022] Open
Abstract
Bone is a highly organized tissue in which each structural level influences the macroscopic and microscopic mechanical behavior. In particular, the quantity, quality, and distribution of the different bone components, i.e. collagen matrix and hydroxyapatite crystals, are associated with bone strength or fragility. Common spectroscopic techniques used to assess bone composition have resolutions limited to the micrometer range. In this study, our aims were two-fold: i) to develop and validate the AFM-IR methodology for skeletal tissues and ii) to apply the methodology to sheep cancellous bone with the objective to obtain novel findings on the composition and structure of trabecular packets.To develop the methodology, we assessed spatial and temporal reproducibility using a known homogeneous material (polymethylmethacrylate, PMMA). We verified that the major peak positions were similar and not shifted when compared to traditional Fourier Transform Infrared imaging (FTIRI). When AFM-IR was applied to sheep cancellous bone, the mineral-to-matrix ratio increased and the acid phosphate substitution ratio decreased as a function of tissue maturity. The resolution of the technique enabled visualization of different stages of the bone maturation process, particularly newly-formed osteoid prior to mineralization. We also observed alternating patterns of IR parameters in line and imaging measurements, suggesting the apposition of layers of alternating structure and / or composition that were not visible with traditional spectroscopic methods. In conclusion, nanoscale IR spectroscopy demonstrates novel compositional and structural changes within trabecular packets in cancellous bone. Based on these results, AFM-IR is a valuable tool to investigate cancellous bone at the nanoscale and, more generally, to analyze small dynamic areas that are invisible to traditional spectroscopic methods.
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Affiliation(s)
- Laurianne Imbert
- Hospital for Special Surgery, Research Institute, New York, New York, United States of America
- * E-mail:
| | | | - Eduardo Villarreal-Ramirez
- Tissue Bioengineering Laboratory, DEPeI, Faculty of Dentistry, National Autonomous University of Mexico, Mexico Distrito Federal, Mexico
| | - Lyudmila Spevak
- Hospital for Special Surgery, Research Institute, New York, New York, United States of America
| | - Hayat Taleb
- Hospital for Special Surgery, Research Institute, New York, New York, United States of America
| | - Marjolein C. H. van der Meulen
- Hospital for Special Surgery, Research Institute, New York, New York, United States of America
- Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York, United States of America
- Meinig School of Biomedical Engineering, Cornell University, Ithaca, New York, United States of America
| | - Richard Mendelsohn
- Department of Chemistry, Newark College of Arts and Science, Rutgers University, New Jersey, United States of America
| | - Adele L. Boskey
- Hospital for Special Surgery, Research Institute, New York, New York, United States of America
- Department of Biochemistry, Weill Cornell Medicine, New York, New York, United States of America
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15
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Ishimoto T, Yamada K, Takahashi H, Takahata M, Ito M, Hanawa T, Nakano T. Trabecular health of vertebrae based on anisotropy in trabecular architecture and collagen/apatite micro-arrangement after implantation of intervertebral fusion cages in the sheep spine. Bone 2018; 108:25-33. [PMID: 29241826 DOI: 10.1016/j.bone.2017.12.012] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 08/17/2017] [Revised: 12/07/2017] [Accepted: 12/10/2017] [Indexed: 11/22/2022]
Abstract
Healthy trabecular bone shows highly anisotropic trabecular architecture and the preferential orientation of collagen and apatite inside a trabecula, both of which are predominantly directed along the cephalocaudal axis. This makes trabecular bone stiff in the principally loaded direction (cephalocaudal axis). However, changes in these anisotropic trabecular characteristics after the insertion of implant devices remain unclear. We defined the trabecular architectural anisotropy and the preferential orientation of collagen and apatite as parameters of trabecular bone health. In the present study, we analyzed these parameters after the implantation of two types of intervertebral fusion cages, open and closed box-type cages, into sheep spines for 2 and 4months. Alteration and evolution of trabecular health around and inside the cages depended on the cage type and implantation duration. At the boundary region, the values of trabecular architectural anisotropy and apatite orientation for the closed-type cages were similar to those for isotropic conditions. In contrast, significantly larger anisotropy was found for open-type cages, indicating that the open-type cage tended to maintain trabecular anisotropy. Inside the open-type cage, trabecular architectural anisotropy and apatite orientation significantly increased with time after implantation. Assessing trabecular anisotropy might be useful for the evaluation of trabecular health and the validation and refinement of implant designs.
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Affiliation(s)
- Takuya Ishimoto
- Division of Materials and Manufacturing Science, Graduate School of Engineering, Osaka University, 2-1, Yamada-Oka, Suita, Osaka 565-0871, Japan
| | - Katsuhisa Yamada
- Department of Orthopedic Surgery, Graduate School of Medicine, Hokkaido University, North-15, West-7, Kita-ku, Sapporo, Hokkaido 060-8638, Japan
| | - Hiroyuki Takahashi
- Division of Materials and Manufacturing Science, Graduate School of Engineering, Osaka University, 2-1, Yamada-Oka, Suita, Osaka 565-0871, Japan; Teijin Nakashima Medical Co., Ltd., 688-1 Joto-Kitagata, Higashi-ku, Okayama 709-0625, Japan
| | - Masahiko Takahata
- Department of Orthopedic Surgery, Graduate School of Medicine, Hokkaido University, North-15, West-7, Kita-ku, Sapporo, Hokkaido 060-8638, Japan
| | - Manabu Ito
- Department of Spine and Spinal Cord Disorders, National Hospital Organization, Hokkaido Medical Center, 5-7-1-1 Yamanote, Nishi-ku, Sapporo, Hokkaido 063-0005, Japan
| | - Takao Hanawa
- Institute of Biomaterials and Bioengineering, Tokyo Medical and Dental University, Kanda-surugadai, Chiyoda-ku, Tokyo 101-0062, Japan
| | - Takayoshi Nakano
- Division of Materials and Manufacturing Science, Graduate School of Engineering, Osaka University, 2-1, Yamada-Oka, Suita, Osaka 565-0871, Japan.
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16
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Liebi M, Georgiadis M, Kohlbrecher J, Holler M, Raabe J, Usov I, Menzel A, Schneider P, Bunk O, Guizar-Sicairos M. Small-angle X-ray scattering tensor tomography: model of the three-dimensional reciprocal-space map, reconstruction algorithm and angular sampling requirements. Acta Crystallogr A Found Adv 2018; 74:12-24. [PMID: 29269594 PMCID: PMC5740453 DOI: 10.1107/s205327331701614x] [Citation(s) in RCA: 35] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/14/2017] [Accepted: 11/08/2017] [Indexed: 11/10/2022] Open
Abstract
Small-angle X-ray scattering tensor tomography, which allows reconstruction of the local three-dimensional reciprocal-space map within a three-dimensional sample as introduced by Liebi et al. [Nature (2015), 527, 349-352], is described in more detail with regard to the mathematical framework and the optimization algorithm. For the case of trabecular bone samples from vertebrae it is shown that the model of the three-dimensional reciprocal-space map using spherical harmonics can adequately describe the measured data. The method enables the determination of nanostructure orientation and degree of orientation as demonstrated previously in a single momentum transfer q range. This article presents a reconstruction of the complete reciprocal-space map for the case of bone over extended ranges of q. In addition, it is shown that uniform angular sampling and advanced regularization strategies help to reduce the amount of data required.
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Affiliation(s)
- Marianne Liebi
- Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
- MAX IV Laboratory, Lund University, 221-00 Lund, Sweden
- Department of Physics, Chalmers University of Technology, 41296 Gothenburg, Sweden
| | - Marios Georgiadis
- Institute for Biomedical Engineering, ETH and University Zurich, 8093 Zurich, Switzerland
| | | | - Mirko Holler
- Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
| | - Jörg Raabe
- Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
| | - Ivan Usov
- Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
| | | | - Philipp Schneider
- Bioengineering Science Research Group, Faculty of Engineering and the Environment, University of Southampton, Southampton SO17 1BJ, England
| | - Oliver Bunk
- Paul Scherrer Institut, 5232 Villigen PSI, Switzerland
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17
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Hammond MA, Wallace JM, Allen MR, Siegmund T. Incorporating tissue anisotropy and heterogeneity in finite element models of trabecular bone altered predicted local stress distributions. Biomech Model Mechanobiol 2017; 17:605-614. [PMID: 29139053 DOI: 10.1007/s10237-017-0981-8] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2017] [Accepted: 11/01/2017] [Indexed: 11/30/2022]
Abstract
Trabecular bone is composed of organized mineralized collagen fibrils, which results in heterogeneous and anisotropic mechanical properties at the tissue level. Recently, biomechanical models computing stresses and strains in trabecular bone have indicated a significant effect of tissue heterogeneity on predicted stresses and strains. However, the effect of the tissue-level mechanical anisotropy on the trabecular bone biomechanical response is unknown. Here, a computational method was established to automatically impose physiologically relevant orientation inherent in trabecular bone tissue on a trabecular bone microscale finite element model. Spatially varying tissue-level anisotropic elastic properties were then applied according to the bone mineral density and the local tissue orientation. The model was used to test the hypothesis that anisotropy in both homogeneous and heterogeneous models alters the predicted distribution of stress invariants. Linear elastic finite element computations were performed on a 3 mm cube model isolated from a microcomputed tomography scan of human trabecular bone from the distal femur. Hydrostatic stress and von Mises equivalent stress were recorded at every element, and the distributions of these values were analyzed. Anisotropy reduced the range of hydrostatic stress in both tension and compression more strongly than the associated increase in von Mises equivalent stress. The effect of anisotropy was independent of the spatial redistribution high compressive stresses due to tissue elastic heterogeneity. Tissue anisotropy and heterogeneity are likely important mechanisms to protect bone from failure and should be included for stress analyses in trabecular bone.
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Affiliation(s)
- Max A Hammond
- School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN, 47907, USA
| | - Joseph M Wallace
- Department of Biomedical Engineering, Indiana University-Purdue Universitry Indianapolis, Indianapolis, IN, 46202, USA
| | - Matthew R Allen
- Department of Anatomy and Cell Biology, Indiana University School of Medicine, Indianapolis, IN, 46202, USA
| | - Thomas Siegmund
- School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN, 47907, USA.
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18
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Georgiadis M, Müller R, Schneider P. Techniques to assess bone ultrastructure organization: orientation and arrangement of mineralized collagen fibrils. J R Soc Interface 2017; 13:rsif.2016.0088. [PMID: 27335222 DOI: 10.1098/rsif.2016.0088] [Citation(s) in RCA: 82] [Impact Index Per Article: 11.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/27/2016] [Accepted: 05/18/2016] [Indexed: 12/13/2022] Open
Abstract
Bone's remarkable mechanical properties are a result of its hierarchical structure. The mineralized collagen fibrils, made up of collagen fibrils and crystal platelets, are bone's building blocks at an ultrastructural level. The organization of bone's ultrastructure with respect to the orientation and arrangement of mineralized collagen fibrils has been the matter of numerous studies based on a variety of imaging techniques in the past decades. These techniques either exploit physical principles, such as polarization, diffraction or scattering to examine bone ultrastructure orientation and arrangement, or directly image the fibrils at the sub-micrometre scale. They make use of diverse probes such as visible light, X-rays and electrons at different scales, from centimetres down to nanometres. They allow imaging of bone sections or surfaces in two dimensions or investigating bone tissue truly in three dimensions, in vivo or ex vivo, and sometimes in combination with in situ mechanical experiments. The purpose of this review is to summarize and discuss this broad range of imaging techniques and the different modalities of their use, in order to discuss their advantages and limitations for the assessment of bone ultrastructure organization with respect to the orientation and arrangement of mineralized collagen fibrils.
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Affiliation(s)
| | - Ralph Müller
- Institute for Biomechanics, ETH Zurich, Zurich, Switzerland
| | - Philipp Schneider
- Institute for Biomechanics, ETH Zurich, Zurich, Switzerland Bioengineering Science Research Group, Faculty of Engineering and the Environment, University of Southampton, Southampton, UK
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19
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Lebugle M, Liebi M, Wakonig K, Guzenko VA, Holler M, Menzel A, Guizar-Sicairos M, Diaz A, David C. High-acceptance versatile microfocus module based on elliptical Fresnel zone plates for small-angle X-ray scattering. OPTICS EXPRESS 2017; 25:21145-21158. [PMID: 29041521 DOI: 10.1364/oe.25.021145] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/11/2017] [Accepted: 08/11/2017] [Indexed: 06/07/2023]
Abstract
High-efficiency microfocusing of multi-keV X-rays at synchrotron sources is highly profitable for spatially resolved structural analysis of many kinds. Because radiation from synchrotron sources is typically elongated along the horizontal dimension, generating a microbeam that is isotropic in size requires a carefully designed optics system. Here we report on using a combination of a horizontally tunable slit downstream of the undulator source with elliptical diffractive Fresnel zone plates. We demonstrate the arrangement in context of small-angle X-ray scattering experiments, obtaining a microbeam of 2.2 μm × 1.8 μm (X × Y) with a flux of 1.2 × 1010 photons/s at an energy of 11.2 keV at the sample position.
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