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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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Deymier AC, Schwartz AG, Cai Z, Daulton TL, Pasteris JD, Genin GM, Thomopoulos S. The multiscale structural and mechanical effects of mouse supraspinatus muscle unloading on the mature enthesis. Acta Biomater 2019; 83:302-313. [PMID: 30342287 DOI: 10.1016/j.actbio.2018.10.024] [Citation(s) in RCA: 42] [Impact Index Per Article: 8.4] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/01/2018] [Revised: 10/04/2018] [Accepted: 10/15/2018] [Indexed: 12/17/2022]
Abstract
The musculoskeletal system is sensitive to its loading environment; this is of particular concern under conditions such as disuse, paralysis, and extended-duration space flight. Although structural and mechanical changes to tendon and bone following paralysis and disuse are well understood, there is a pressing need to understand how this unloading affects the bone-tendon interface (enthesis); the location most prone to tears and injury. We therefore elucidated these effects of unloading in the entheses of adult mice shoulders that were paralyzed for 21 days by treatment with botulinum toxin A. Unloading significantly increased the extent of mechanical failure and was associated with structural changes across hierarchical scales. At the millimeter scale, unloading caused bone loss. At the micrometer scale, unloading decreased bioapatite crystal size and crystallographic alignment in the enthesis. At the nanometer scale, unloading induced compositional changes that stiffened the bioapatite/collagen composite tissue. Mathematical modeling and mechanical testing indicated that these factors combined to increase local elevations of stress while decreasing the ability of the tissue to absorb energy prior to failure, thereby increasing injury risk. These first observations of the multiscale effects of unloading on the adult enthesis provide new insight into the hierarchical features of structure and composition that endow the enthesis with increased resistance to failure. STATEMENT OF SIGNIFICANCE: The musculoskeletal system is sensitive to its loading environment; this is of particular concern under conditions such as disuse, paralysis, and extended-duration space flight. Although changes to tendon and bone following paralysis are understood, there is a pressing need to clarify how unloading affects the bone-tendon interface (enthesis), which is the location most prone to tears and injury. We elucidated the effects of enthesis unloading in adult mice shoulders showing, for the first time, that unloading significantly increased the risk and extent of mechanical failure and was associated with structural changes across hierarchical scales. These observations provide new insight into the hierarchical features of structure and composition that endow the enthesis with resilience. This knowledge can be used to develop more targeted treatments to improve mobility and function.
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Affiliation(s)
- Alix C Deymier
- Department of Biomedical Engineering, University of Connecticut, Farmington, CT, USA.
| | - Andrea G Schwartz
- Department of Orthopaedic Surgery, Washington University, St. Louis, MO, USA.
| | - Zhounghou Cai
- Advanced Photon Source, Argonne National Lab, Argonne, IL, USA.
| | - Tyrone L Daulton
- Department of Physics, Washington University, St. Louis, MO, USA; Institute of Materials Science and Engineering, Washington University, St. Louis, MO, USA.
| | - Jill D Pasteris
- Department of Earth and Planetary Science, Washington University, St. Louis, MO, USA.
| | - Guy M Genin
- Department of Mechanical Engineering and Materials Science, Washington University, St. Louis, MO, USA.
| | - Stavros Thomopoulos
- Department of Orthopedic Surgery, Columbia University, New York, NY, USA; Department of Biomedical Engineering, Columbia University, New York, NY, USA.
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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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Berès F, Isaac J, Mouton L, Rouzière S, Berdal A, Simon S, Dessombz A. Comparative Physicochemical Analysis of Pulp Stone and Dentin. J Endod 2016; 42:432-8. [PMID: 26794341 DOI: 10.1016/j.joen.2015.11.007] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/20/2015] [Revised: 11/04/2015] [Accepted: 11/06/2015] [Indexed: 01/19/2023]
Abstract
INTRODUCTION Odontoblasts are responsible for the synthesis of dentin throughout the life of the tooth. Tooth pulp tissue may undergo a pathologic process of mineralization, resulting in formation of pulp stones. Although the prevalence of pulp stones in dental caries is significant, their development and histopathology are poorly understood, and their precise composition has never been established. The aim of the present study was to investigate the physicochemical properties of the mineralized tissues of teeth to elucidate the pathologic origin of pulp stones. METHODS Areas of carious and healthy dentin of 8 decayed teeth intended for extraction were analyzed and compared. In addition, 6 pulp stones were recovered from 5 teeth requiring root canal treatment. The samples were embedded in resin, sectioned, and observed by scanning electron microscopy and energy-dispersive spectroscopy. X-ray diffraction was performed to identify phases and crystallinity. X-ray fluorescence provided information on the elemental composition of the samples. RESULTS Pulp stones showed heterogeneous structure and chemical composition. X-ray diffraction revealed partially carbonated apatite. X-ray fluorescence identified P, Ca, Cu, Zn, and Sr within dentin and pulp stones. Zn and Cu concentrations were higher in pulp stones and carious dentin compared with healthy dentin. CONCLUSIONS Pulpal cells produce unstructured apatitic mineralizations containing abnormally high Zn and Cu levels.
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Affiliation(s)
- Fleur Berès
- Univ Paris 07, Univ Paris 06, Univ Paris 05, Equipe Berdal, Unites Mixtes Rech 11, Ctr Rech Cordeliers, INSERM, Lab Physiopathol Orale, Paris, France; UFR d'Odontologie, Paris Descartes University, Paris, France
| | - Juliane Isaac
- Univ Paris 07, Univ Paris 06, Univ Paris 05, Equipe Berdal, Unites Mixtes Rech 11, Ctr Rech Cordeliers, INSERM, Lab Physiopathol Orale, Paris, France; UFR d'Odontologie, Paris Diderot University, Paris, France; Laboratory of Morphogenesis Molecular Genetics, Department of Developmental and Stem Cells Biology, Institut Pasteur, CNRS URA 2578, Paris, France
| | - Ludovic Mouton
- ITODYS, UMR 7086 CNRS, Paris Diderot University, Sorbonne Paris Cité, Paris, France
| | - Stephan Rouzière
- Laboratoire de Physique des Solides, Paris-Sud University, CNRS, UMR 8502, Orsay, France
| | - Ariane Berdal
- Univ Paris 07, Univ Paris 06, Univ Paris 05, Equipe Berdal, Unites Mixtes Rech 11, Ctr Rech Cordeliers, INSERM, Lab Physiopathol Orale, Paris, France; UFR d'Odontologie, Paris Diderot University, Paris, France
| | - Stéphane Simon
- Univ Paris 07, Univ Paris 06, Univ Paris 05, Equipe Berdal, Unites Mixtes Rech 11, Ctr Rech Cordeliers, INSERM, Lab Physiopathol Orale, Paris, France; UFR d'Odontologie, Paris Diderot University, Paris, France; Hopital de la Pitié Salpêtrière, Service d'Odontologie, Paris, France.
| | - Arnaud Dessombz
- Univ Paris 07, Univ Paris 06, Univ Paris 05, Equipe Berdal, Unites Mixtes Rech 11, Ctr Rech Cordeliers, INSERM, Lab Physiopathol Orale, Paris, France; UFR d'Odontologie, Paris Diderot University, Paris, France
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Stock S, Deymier-Black A, Veis A, Telser A, Lux E, Cai Z. Bovine and equine peritubular and intertubular dentin. Acta Biomater 2014; 10:3969-77. [PMID: 24911530 DOI: 10.1016/j.actbio.2014.05.027] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/14/2014] [Revised: 05/15/2014] [Accepted: 05/23/2014] [Indexed: 10/25/2022]
Abstract
Dentin contains 1-2μm diameter tubules extending from the pulp cavity to near the junction with enamel. Peritubular dentin (PTD) borders the tubule lumens and is surrounded by intertubular dentin (ITD). Differences in PTD and ITD composition and microstructure remain poorly understood. Here, a (∼200nm)(2), 10.1keV synchrotron X-ray beam maps X-ray fluorescence and X-ray diffraction simultaneously around tubules in 15-30μm thick bovine and equine specimens. Increased Ca fluorescence surrounding tubule lumens confirms that PTD is present, and the relative intensities in PTD and ITD correspond to carbonated apatite (cAp) volume fraction of ∼0.8 in PTD vs. 0.65 assumed for ITD. In the PTD near the lumen edges, Zn intensity is strongly peaked, corresponding to a Zn content of ∼0.9mgg(-1) for an assumed concentration of ∼0.4mgg(-1) for ITD. In the equine specimen, the Zn K-edge position indicates that Zn(2+) is present, similar to bovine dentin (Deymier-Black et al., 2013), and the above edge structure is consistent with spectra from macromolecules related to biomineralization. Transmission X-ray diffraction shows only cAp, and the 00.2 diffraction peak (Miller-Bravais indices) width is constant from ITD to the lumen edge. The cAp 00.2 average preferred orientation is axisymmetric (about the tubule axis) in both bovine and equine dentin, and the axisymmetric preferred orientation continues from ITD through the PTD to the tubule lumen. These data indicate that cAp structure does not vary from PTD to ITD.
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Stock SR. Sea urchins have teeth? A review of their microstructure, biomineralization, development and mechanical properties. Connect Tissue Res 2014; 55:41-51. [PMID: 24437604 PMCID: PMC4727832 DOI: 10.3109/03008207.2013.867338] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Abstract
Sea urchins possess a set of five teeth which are self-sharpening and which continuously replace material lost through abrasion. The continuous replacement dictates that each tooth consists of the range of developmental states from discrete plates in the plumula, the least mineralized and least mature portion, to plates and needle-prisms separated by cellular syncytia at the beginning of the tooth shaft to a highly dense structure at the incisal end. The microstructures and their development are reviewed prior to a discussion of current understanding of the biomineralization processes operating during tooth formation. For example, the mature portions of each tooth consist of single crystal calcite but the early stages of mineral formation (e.g. solid amorphous calcium carbonate, ions in solution) continue to be investigated. The second stage mineral that cements the disparate plates and prisms together has a much higher Mg content than the first stage prisms and needles and allows the tooth to be self-sharpening. Mechanically, the urchin tooth's calcite performs better than inorganic calcite, and aspects of tooth functionality that are reviewed include the materials properties themselves and the role of the orientations of the plates and prisms relative to the axes of the applied loads. Although the properties and microarchitecture of sea urchin teeth or other mineralized tissues are often described as optimized, this view is inaccurate because these superb solutions to the problem of constructing functional structures are intermediaries not endpoints of evolution.
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Affiliation(s)
- Stuart R Stock
- Department of Molecular Pharmacology and Biological Chemistry, Feinberg School of Medicine, Northwestern University , Chicago, IL , USA
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