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Plazonic F, LuTheryn G, Hind C, Clifford M, Gray M, Stride E, Glynne-Jones P, Hill M, Sutton JM, Carugo D. Bactericidal Effect of Ultrasound-Responsive Microbubbles and Sub-inhibitory Gentamicin against Pseudomonas aeruginosa Biofilms on Substrates With Differing Acoustic Impedance. ULTRASOUND IN MEDICINE & BIOLOGY 2022; 48:1888-1898. [PMID: 35798625 DOI: 10.1016/j.ultrasmedbio.2022.05.019] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/09/2022] [Revised: 05/10/2022] [Accepted: 05/13/2022] [Indexed: 06/15/2023]
Abstract
The aim of this research was to explore the interaction between ultrasound-activated microbubbles (MBs) and Pseudomonas aeruginosa biofilms, specifically the effects of MB concentration, ultrasound exposure and substrate properties on bactericidal efficacy. Biofilms were grown using a Centre for Disease Control (CDC) bioreactor on polypropylene or stainless-steel coupons as acoustic analogues for soft and hard tissue, respectively. Biofilms were treated with different concentrations of phospholipid-shelled MBs (107-108 MB/mL), a sub-inhibitory concentration of gentamicin (4 µg/mL) and 1-MHz ultrasound with a continuous or pulsed (100-kHz pulse repetition frequency, 25% duty cycle, 0.5-MPa peak-to-peak pressure) wave. The effect of repeated ultrasound exposure with intervals of either 15- or 60-min was also investigated. With polypropylene coupons, the greatest bactericidal effect was achieved with 2 × 5 min of pulsed ultrasound separated by 60 min and a microbubble concentration of 5 × 107 MBs/mL. A 0.76 log (83%) additional reduction in the number of bacteria was achieved compared with the use of an antibiotic alone. With stainless-steel coupons, a 67% (0.46 log) reduction was obtained under the same exposure conditions, possibly due to enhancement of a standing wave field which inhibited MB penetration in the biofilm. These findings demonstrate the importance of treatment parameter selection in antimicrobial applications of MBs and ultrasound in different tissue environments.
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Affiliation(s)
- Filip Plazonic
- Faculty of Engineering and Physical Sciences, University of Southampton, Southampton, UK
| | - Gareth LuTheryn
- Faculty of Engineering and Physical Sciences, University of Southampton, Southampton, UK; Department of Pharmaceutics, School of Pharmacy, University College London, London, UK; National Biofilms Innovation Centre, University of Southampton, Southampton, UK
| | - Charlotte Hind
- UK Health Security Agency, Porton Down, Salisbury, Wiltshire, UK
| | - Melanie Clifford
- UK Health Security Agency, Porton Down, Salisbury, Wiltshire, UK
| | - Michael Gray
- Institute of Biomedical Engineering, University of Oxford, Oxford, UK
| | - Eleanor Stride
- Institute of Biomedical Engineering, University of Oxford, Oxford, UK
| | - Peter Glynne-Jones
- Faculty of Engineering and Physical Sciences, University of Southampton, Southampton, UK
| | - Martyn Hill
- Faculty of Engineering and Physical Sciences, University of Southampton, Southampton, UK
| | - J Mark Sutton
- UK Health Security Agency, Porton Down, Salisbury, Wiltshire, UK; Institute of Pharmaceutical Science, King's College London, London, UK
| | - Dario Carugo
- Department of Pharmaceutics, School of Pharmacy, University College London, London, UK.
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Hata T, Nagatani Y, Takano K, Matsukawa M. Simulation study of axial ultrasonic wave propagation in heterogeneous bovine cortical bone. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2016; 140:3710. [PMID: 27908063 DOI: 10.1121/1.4967234] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
The effect of the heterogeneity of the long cortical bone is an important factor when applying the axial transmission technique. In this study, the axial longitudinal wave velocity distributions in specimens from the mid-shaft of a bovine femur were measured, in the MHz range. Bilinear interpolation and the piecewise cubic Hermite interpolating polynomial method were used to construct three-dimensional (3D) axial velocity models with a resolution of 40 μm. By assuming the uniaxial anisotropy of the bone and using the results of previous experimental studies [Yamato, Matsukawa, Yanagitani, Yamazaki, Mizukawa, and Nagano (2008b). Calcified Tissue Int. 82, 162-169; Nakatsuji, Yamamoto, Suga, Yanagitani, Matsukawa, Yamazaki, and Matsuyama (2011). Jpn. J. Appl. Phys. 50, 07HF18], the distributions of all elastic moduli were estimated to obtain a 3D heterogeneous bone model and a uniform model. In the heterogeneous model, moduli at the surface were smaller than those inside the model. The elastic finite-difference time-domain method was used to simulate axial ultrasonic wave propagation in these models. In the heterogeneous model, the wavefront of the first arriving signal (FAS) was dependent on the heterogeneity, and the FAS velocity depended on the measured position. These phenomena were not observed in the uniform model.
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Affiliation(s)
- Toshiho Hata
- Faculty of Life and Medical Sciences, Doshisha University, Kyotanabe 610-0321, Japan
| | - Yoshiki Nagatani
- Department of Electronics, Kobe City College of Technology, Kobe 651-2194, Japan
| | - Koki Takano
- Faculty of Science and Engineering, Doshisha University, Kyotanabe 610-0321, Japan
| | - Mami Matsukawa
- Faculty of Science and Engineering, Doshisha University, Kyotanabe 610-0321, Japan
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Rohrbach D, Grimal Q, Varga P, Peyrin F, Langer M, Laugier P, Raum K. Distribution of mesoscale elastic properties and mass density in the human femoral shaft. Connect Tissue Res 2015; 56:120-32. [PMID: 25738522 DOI: 10.3109/03008207.2015.1013627] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Abstract
Cortical bone properties are determined by tissue composition and structure at several hierarchical length scales. In this study, the spatial distribution of micro- and mesoscale elastic properties within a human femoral shaft has been investigated. Microscale tissue degree of mineralization (DMB), cortical vascular porosity Ct.Po and the average transverse isotropic stiffness tensor C(Micro) of cylindrical-shaped samples (diameter: 4.4 mm, N = 56) were obtained from cortical regions between 20 and 85% of the total femur length and around the periphery (anterior, medial, posterior and lateral quadrants) by means of synchrotron radiation µCT (SRµCT) and 50-MHz scanning acoustic microscopy (SAM). Within each cylinder, the volumetric bone mineral density (vBMD) and the mesoscale stiffness tensor C(Meso) were derived using a numerical homogenization approach. Moreover, microelastic maps of the axial elastic coefficient c33 measured by SAM at distinct cross-sectional locations along the femur were used to construct a 3-D multiscale elastic model of the femoral shaft. Variations of vBMD (6.1%) were much lower than the variations of mesoscale elastic coefficients (11.1-21.3%). The variation of DMB was only a minor predictor for variations of the mesoscale elastic properties (0.05 ≤ R(2) ≤ 0.34). Instead, variations of the mesoscale elastic properties could be explained by variations of cortical porosity and microscale elastic properties. These data were suitable inputs for numerical evaluations and may help to unravel the relations between structure and composition on the elastic function in cortical bone.
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Affiliation(s)
- Daniel Rohrbach
- Julius-Wolff-Institute & Berlin Brandenburg School for Regenerative Therapies, Charité-Universitätsmedizin Berlin , Berlin , Germany
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Granke M, Grimal Q, Parnell WJ, Raum K, Gerisch A, Peyrin F, Saïed A, Laugier P. To what extent can cortical bone millimeter-scale elasticity be predicted by a two-phase composite model with variable porosity? Acta Biomater 2015; 12:207-215. [PMID: 25462527 DOI: 10.1016/j.actbio.2014.10.011] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/27/2014] [Revised: 09/01/2014] [Accepted: 10/09/2014] [Indexed: 10/24/2022]
Abstract
An evidence gap exists in fully understanding and reliably modeling the variations in elastic anisotropy that are observed at the millimeter scale in human cortical bone. The porosity (pore volume fraction) is known to account for a large part, but not all, of the elasticity variations. This effect may be modeled by a two-phase micromechanical model consisting of a homogeneous matrix pervaded by cylindrical pores. Although this model has been widely used, it lacks experimental validation. The aim of the present work is to revisit experimental data (elastic coefficients, porosity) previously obtained from 21 cortical bone specimens from the femoral mid-diaphysis of 10 donors and test the validity of the model by proposing a detailed discussion of its hypotheses. This includes investigating to what extent the experimental uncertainties, pore network modeling, and matrix elastic properties influence the model's predictions. The results support the validity of the two-phase model of cortical bone which assumes that the essential source of variations of elastic properties at the millimeter-scale is the volume fraction of vascular porosity. We propose that the bulk of the remaining discrepancies between predicted stiffness coefficients and experimental data (RMSE between 6% and 9%) is in part due to experimental errors and part due to small variations of the extravascular matrix properties. More significantly, although most of the models that have been proposed for cortical bone were based on several homogenization steps and a large number of variable parameters, we show that a model with a single parameter, namely the volume fraction of vascular porosity, is a suitable representation for cortical bone. The results could provide a guide to build specimen-specific cortical bone models. This will be of interest to analyze the structure-function relationship in bone and to design bone-mimicking materials.
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Abstract
Bone quality is determined by a variety of compositional, micro- and ultrastructural properties of the mineralized tissue matrix. In contrast to X-ray-based methods, the interaction of acoustic waves with bone tissue carries information about elastic and structural properties of the tissue. Quantitative ultrasound (QUS) methods represent powerful alternatives to ionizing x-ray based assessment of fracture risk. New in vivo applicable methods permit measurements of fracture-relevant properties, [eg, cortical thickness and stiffness at fragile anatomic regions (eg, the distal radius and the proximal femur)]. Experimentally, resonance ultrasound spectroscopy and acoustic microscopy can be used to assess the mesoscale stiffness tensor and elastic maps of the tissue matrix at microscale resolution, respectively. QUS methods, thus, currently represent the most promising approach for noninvasive assessment of components of fragility beyond bone mass and bone microstructure providing prospects for improved assessment of fracture risk.
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Affiliation(s)
- Kay Raum
- Julius Wolff Institute & Berlin-Brandenburg School for Regenerative Therapies, Augustenburger Platz 1, 13353, Berlin, Germany,
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Blouin S, Puchegger S, Roschger A, Berzlanovich A, Fratzl P, Klaushofer K, Roschger P. Mapping dynamical mechanical properties of osteonal bone by scanning acoustic microscopy in time-of-flight mode. MICROSCOPY AND MICROANALYSIS : THE OFFICIAL JOURNAL OF MICROSCOPY SOCIETY OF AMERICA, MICROBEAM ANALYSIS SOCIETY, MICROSCOPICAL SOCIETY OF CANADA 2014; 20:924-936. [PMID: 24725753 DOI: 10.1017/s1431927614000646] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
An important determinant of mechanical properties of bone is Young's modulus and its variation in individual osteons of cortical bone tissue. Its mechanical behavior also depends on deformation rate owing to its visco- or poroelastic properties. We developed a method to measure dynamical mechanical properties of bulk bone tissue at osteonal level based on scanning acoustic microscopy (SAM) using time-of-flight (TOF) measurements in combination with quantitative backscattered electron imaging (qBEI). SAM-TOF yields local sound velocities and qBEI corresponding material densities together providing elastic properties. Osteons (n=55) were measured in three human femoral diaphyseal ground bone sections (∼ 30 µm in thickness). In addition, subchondral bone and mineralized articular cartilage were investigated. The mean mineral contents, the mean sound velocities, and the mean elastic modulus of the osteons ranged from 20 to 26 wt%, from 3,819 to 5,260 m/s, and from 21 to 44 GPa, respectively. There was a strong positive correlation between material density and sound velocity (Pearson's r=0.701; p<0.0001) of the osteons. Sound velocities between cartilage and bone was similar, though material density was higher in cartilage (+4.46%, p<0.0001). These results demonstrate the power of SAM-TOF to estimate dynamic mechanical properties of the bone materials at the osteonal level.
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Affiliation(s)
- Stéphane Blouin
- 11st Medical Department,Ludwig Boltzmann Institute of Osteology at the Hanusch Hospital of WGKK and AUVA Trauma Centre Meidling,Hanusch Hospital,Heinrich Collin Str. 30,A-1140 Vienna,Austria
| | - Stephan Puchegger
- 2Faculty of Physics,University of Vienna,Dynamics of Condensed Systems,Strudlhofgasse 4,A-1090 Vienna,Austria
| | - Andreas Roschger
- 11st Medical Department,Ludwig Boltzmann Institute of Osteology at the Hanusch Hospital of WGKK and AUVA Trauma Centre Meidling,Hanusch Hospital,Heinrich Collin Str. 30,A-1140 Vienna,Austria
| | - Andrea Berzlanovich
- 3Department of Forensics,Medical University of Vienna,Sensengasse 2,A-1090 Vienna,Austria
| | - Peter Fratzl
- 4Department of Biomaterials,Max Planck Institute of Colloids and Interfaces,14424 Potsdam,Germany
| | - Klaus Klaushofer
- 11st Medical Department,Ludwig Boltzmann Institute of Osteology at the Hanusch Hospital of WGKK and AUVA Trauma Centre Meidling,Hanusch Hospital,Heinrich Collin Str. 30,A-1140 Vienna,Austria
| | - Paul Roschger
- 11st Medical Department,Ludwig Boltzmann Institute of Osteology at the Hanusch Hospital of WGKK and AUVA Trauma Centre Meidling,Hanusch Hospital,Heinrich Collin Str. 30,A-1140 Vienna,Austria
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7
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Grimal Q, Rohrbach D, Grondin J, Barkmann R, Glüer CC, Raum K, Laugier P. Modeling of femoral neck cortical bone for the numerical simulation of ultrasound propagation. ULTRASOUND IN MEDICINE & BIOLOGY 2014; 40:1015-1026. [PMID: 24486239 DOI: 10.1016/j.ultrasmedbio.2013.11.010] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/26/2013] [Revised: 10/30/2013] [Accepted: 11/06/2013] [Indexed: 06/03/2023]
Abstract
Quantitative ultrasound assessment of the cortical compartment of the femur neck (FN) is investigated with the goal of achieving enhanced fracture risk prediction. Measurements at the FN are influenced by bone size, shape and material properties. The work described here was aimed at determining which FN material properties have a significant impact on ultrasound propagation around 0.5 MHz and assessing the relevancy of different models. A methodology for the modeling of ultrasound propagation in the FN, with a focus on the modeling of bone elastic properties based on scanning acoustic microscopy data, is introduced. It is found that the first-arriving ultrasound signal measured in through-transmission at the FN is not influenced by trabecular bone properties or by the heterogeneities of the cortical bone mineralized matrix. In contrast, the signal is sensitive to variations in cortical porosity, which can, to a certain extent, be accounted for by effective properties calculated with the Mori-Tanaka method.
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Affiliation(s)
- Quentin Grimal
- Sorbonne Universités, UPMC Univ Paris 06, UMR 7623, LIP, F-75006, Paris, France; CNRS, UMR 7623, LIP, F-75006, Paris, France.
| | - Daniel Rohrbach
- Julius Wolff Institute and Berlin-Brandenburg School for Regenerative Therapies, Charité-Universitätsmedizin Berlin, Berlin, Germany
| | - Julien Grondin
- Sorbonne Universités, UPMC Univ Paris 06, UMR 7623, LIP, F-75006, Paris, France; CNRS, UMR 7623, LIP, F-75006, Paris, France
| | - Reinhard Barkmann
- Sektion Biomedizinische Bildgebung, Klinik für Radiologie und Neuroradiologie, Universitätklinikum Schleswig-Holstein, Campus Kiel, Germany
| | - Claus-C Glüer
- Sektion Biomedizinische Bildgebung, Klinik für Radiologie und Neuroradiologie, Universitätklinikum Schleswig-Holstein, Campus Kiel, Germany
| | - Kay Raum
- Julius Wolff Institute and Berlin-Brandenburg School for Regenerative Therapies, Charité-Universitätsmedizin Berlin, Berlin, Germany
| | - Pascal Laugier
- Sorbonne Universités, UPMC Univ Paris 06, UMR 7623, LIP, F-75006, Paris, France; CNRS, UMR 7623, LIP, F-75006, Paris, France
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8
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Tsubota R, Fukui K, Matsukawa M. Local ultrasonic wave velocities in trabeculae measured by micro-Brillouin scattering. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2014; 135:EL109-EL114. [PMID: 25234913 DOI: 10.1121/1.4862883] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Ultrasonic wave velocities in trabeculae of distal end of bovine femurs were measured using micro-Brillouin scattering (μ-BR). μ-BR allows the measurement of wave velocities in a small area (diameter, 10 μm). Trabecular structure and alignment were evaluated with x-ray micro-computed tomography techniques before μ-BR measurements. Wave velocities in rod-type trabeculae [4.90 × 10(3) m/s with standard deviation (SD) of 0.05 × 10(3) m/s] were higher than those in plate-type trabeculae (4.79 × 10(3) m/s with SD of 0.05 × 10(3) m/s). The elastic properties of trabeculae appeared to change with trabecular type and direction of trabecular alignment.
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Affiliation(s)
- Ryo Tsubota
- Laboratory of Ultrasonic Electronics, Wave Electronics Research Center, Doshisha University, Kyotanabe, 610-0321 Kyoto, Japan , ,
| | - Kenji Fukui
- Laboratory of Ultrasonic Electronics, Wave Electronics Research Center, Doshisha University, Kyotanabe, 610-0321 Kyoto, Japan , ,
| | - Mami Matsukawa
- Laboratory of Ultrasonic Electronics, Wave Electronics Research Center, Doshisha University, Kyotanabe, 610-0321 Kyoto, Japan , ,
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Numerical investigation of ultrasonic attenuation through 2D trabecular bone structures reconstructed from CT scans and random realizations. Comput Biol Med 2013; 45:143-56. [PMID: 24480174 DOI: 10.1016/j.compbiomed.2013.12.005] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/11/2013] [Revised: 12/09/2013] [Accepted: 12/10/2013] [Indexed: 11/23/2022]
Abstract
In this paper, we compare ultrasound interrogations of actual CT-scanned images of trabecular bone with artificial randomly constructed bone. Even though it is known that actual bone does not have randomly distributed trabeculae, we find that the ultrasound attenuations are close enough to cast doubt on any microstructural information, such as trabeculae width and distance between trabeculae, being gleaned from such experiments. More precisely, we perform numerical simulations of ultrasound interrogation on cancellous bone to investigate the phenomenon of ultrasound attenuation as a function of excitation frequency and bone porosity. The theoretical model is based on acoustic propagation equations for a composite fluid-solid material and is solved by a staggered-grid finite-difference scheme in the time domain. Numerical experiments are performed on two-dimensional bone samples reconstructed from CT-scanned images of real human calcaneus and from random distributions of fluid-solid particles generated via the turning bands method. A detailed comparison is performed on various parameters such as the attenuation rate and speed of sound through the bone samples as well as the normalized broadband ultrasound attenuation coefficient. Comparing results from these two types of bone samples allows us to assess the role of bone microstructure in ultrasound attenuation. It is found that the random model provides suitable bone samples for ultrasound interrogation in the transverse direction of the trabecular network.
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10
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Kilappa V, Xu K, Moilanen P, Heikkola E, Ta D, Timonen J. Assessment of the fundamental flexural guided wave in cortical bone by an ultrasonic axial-transmission array transducer. ULTRASOUND IN MEDICINE & BIOLOGY 2013; 39:1223-1232. [PMID: 23643059 DOI: 10.1016/j.ultrasmedbio.2013.02.002] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/05/2012] [Revised: 01/09/2013] [Accepted: 02/03/2013] [Indexed: 06/02/2023]
Abstract
The fundamental flexural guided wave (FFGW), as modeled, for example, by the A0 Lamb mode, is a clinically useful indicator of cortical bone thickness. In the work described in this article, we tested so-called multiridge-based analysis, based on the crazy climber algorithm and short-time Fourier transform, for assessment of the FFGW component recorded by a clinical array transducer featuring a limited number of elements. Methods included numerical finite-element simulations and experiments in bone phantoms and human radius specimens (n = 41). The proposed approach enabled extraction of the FFGW component and determination of its group velocity. This group velocity was in good agreement with theoretical predictions and possessed reasonable sensitivity to cortical width (r(2) = 0.51, p < 0.001) in the in vitro experiments. It is expected that the proposed approach enables related clinical application. Further work is still needed to analyze in more detail the challenges related to the impact of the overlying soft tissue.
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Affiliation(s)
- Vantte Kilappa
- Department of Physics, University of Jyväskylä, Jyväskylä, Finland.
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11
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Malo MKH, Rohrbach D, Isaksson H, Töyräs J, Jurvelin JS, Tamminen IS, Kröger H, Raum K. Longitudinal elastic properties and porosity of cortical bone tissue vary with age in human proximal femur. Bone 2013; 53:451-8. [PMID: 23334084 DOI: 10.1016/j.bone.2013.01.015] [Citation(s) in RCA: 65] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 08/20/2012] [Revised: 01/08/2013] [Accepted: 01/10/2013] [Indexed: 11/26/2022]
Abstract
Tissue level structural and mechanical properties are important determinants of bone strength. As an individual ages, microstructural changes occur in bone, e.g., trabeculae and cortex become thinner and porosity increases. However, it is not known how the elastic properties of bone change during aging. Bone tissue may lose its elasticity and become more brittle and prone to fractures as it ages. In the present study the age-dependent variation in the spatial distributions of microstructural and microelastic properties of the human femoral neck and shaft were evaluated by using acoustic microscopy. Although these properties may not be directly measured in vivo, there is a major interest to investigate their relationships with the linear elastic measurements obtained by diagnostic ultrasound at the most severe fracture sites, e.g., the femoral neck. However, before the validity of novel in vivo techniques can be established, it is essential to understand the age-dependent variation in tissue elastic properties and porosity at different skeletal sites. A total of 42 transverse cross-sectional bone samples were obtained from the femoral neck (Fn) and proximal femoral shaft (Ps) of 21 men (mean±SD age 47.1±17.8, range 17-82years). Samples were quantitatively imaged using a scanning acoustic microscope (SAM) equipped with a 50MHz ultrasound transducer. Distributions of the elastic coefficient (c33) of cortical (Ct) and trabecular (Tr) tissues and microstructure of cortex (cortical thickness Ct.Th and porosity Ct.Po) were determined. Variations in c33 were observed with respect to tissue type (c33Tr<c33Ct), location (c33(Ct.Ps)=37.7GPa>c33(Ct.Fn)=35.3GPa>c33(Tr.Ps)=33.8GPa>c33(Tr.Fn)=31.9GPa), and cadaver age (R(2)=0.28-0.46, p<0.05). Regional variations in porosity were found in the neck (superior 13.1%; inferior 6.1%; anterior 10.1%; posterior 8.6%) and in the shaft (medial 9.5%; lateral 7.7%; anterior 8.6%; posterior 12.0%). In conclusion, significant variations in elastic coefficients were detected between femoral neck and shaft as well as between the quadrants of the cross-sections of neck and shaft. Moreover, an age-related increase in cortical porosity and a stiffening of the bone tissue were observed. These findings may explain in part the increase in susceptibility to suffer low energy fractures during aging and highlight the potential of ultrasound in clinical osteoporosis diagnostics.
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Affiliation(s)
- M K H Malo
- Department of Applied Physics, University of Eastern Finland, POB 1627, FI-70211, Kuopio, Finland.
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12
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Rohrbach D, Lakshmanan S, Peyrin F, Langer M, Gerisch A, Grimal Q, Laugier P, Raum K. Spatial distribution of tissue level properties in a human femoral cortical bone. J Biomech 2012; 45:2264-70. [DOI: 10.1016/j.jbiomech.2012.06.003] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/27/2011] [Revised: 06/07/2012] [Accepted: 06/07/2012] [Indexed: 10/28/2022]
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13
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Groby JP, Dazel O, Depollier C, Ogam E, Kelders L. Scattering of acoustic waves by macroscopically inhomogeneous poroelastic tubes. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2012; 132:477-486. [PMID: 22779494 DOI: 10.1121/1.4725763] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
Wave propagation in macroscopically inhomogeneous porous materials has received much attention in recent years. For planar configurations, the wave equation, derived from the alternative formulation of Biot's theory of 1962, was reduced and solved recently: first in the case of rigid frame inhomogeneous porous materials and then in the case of inhomogeneous poroelastic materials in the framework of Biot's theory. This paper focuses on the solution of the full wave equation in cylindrical coordinates for poroelastic tubes in which the acoustic and elastic properties of the poroelastic tube vary in the radial direction. The reflection coefficient is obtained numerically using the state vector (or the so-called Stroh) formalism and Peano series. This coefficient can then be used to straightforwardly calculate the scattered field. To validate the method of resolution, results obtained by the present method are compared to those calculated by the classical transfer matrix method in the case of a two-layer poroelastic tube. As an example, a long bone excited in the sagittal plane is considered. Finally, a discussion is given of ultrasonic time domain scattered field for various inhomogeneity profiles, which could lead to the prospect of long bone characterization.
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Affiliation(s)
- J-P Groby
- Laboratoire d'Acoustique de l'Université du Maine, UMR6613 Centre National de la Recherche Scientifique/Université du Maine, Avenue Olivier Messiaen, F-72085 Le Mans Cedex 9, France.
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14
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Grondin J, Grimal Q, Yamamoto K, Matsukawa M, Saïed A, Laugier P. Relative contributions of porosity and mineralized matrix properties to the bulk axial ultrasonic wave velocity in human cortical bone. ULTRASONICS 2012; 52:467-471. [PMID: 22182403 DOI: 10.1016/j.ultras.2011.11.008] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/12/2011] [Revised: 11/17/2011] [Accepted: 11/27/2011] [Indexed: 05/31/2023]
Abstract
Velocity of ultrasound waves has proved to be a useful indicator of bone biomechanical competence. A detailed understanding of the dependence of ultrasound parameters such as velocity on bone characteristics is a key to the development of bone quantitative ultrasound (QUS). The objective of this study is to investigate the relative contributions of porosity and mineralized matrix properties to the bulk compressional wave velocity (BCV) along the long bone axis. Cross-sectional slabs from the diaphysis of four human femurs were included in the study. Seven regions of interest (ROIs) were selected in each slab. BCV was measured in through-transmission at 5 MHz. Impedance of the mineralized matrix (Z(m)) and porosity (Por) were obtained from 50 MHz scanning acoustic microscopy. Por and Z(m) had comparable effects on BCV along the bone axis (R=-0.57 and R=0.72, respectively).
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Affiliation(s)
- Julien Grondin
- UPMC Univ Paris 06, UMR 7623, Laboratoire d'Imagerie Paramétrique, F-75005 Paris, France.
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15
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Granke M, Grimal Q, Saïed A, Nauleau P, Peyrin F, Laugier P. Change in porosity is the major determinant of the variation of cortical bone elasticity at the millimeter scale in aged women. Bone 2011; 49:1020-6. [PMID: 21855669 DOI: 10.1016/j.bone.2011.08.002] [Citation(s) in RCA: 111] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 05/20/2011] [Revised: 07/16/2011] [Accepted: 08/01/2011] [Indexed: 11/20/2022]
Abstract
At the mesoscale (i.e. over a few millimeters), cortical bone can be described as two-phase composite material consisting of pores and a dense mineralized matrix. The cortical porosity is known to influence the mesoscopic elasticity. Our objective was to determine whether the variations of porosity are sufficient to predict the variations of bone mesoscopic anisotropic elasticity or if change in bone matrix elasticity is an important factor to consider. We measured 21 cortical bone specimens prepared from the mid-diaphysis of 10 women donors (aged from 66 to 98 years). A 50-MHz scanning acoustic microscope (SAM) was used to evaluate the bone matrix elasticity (reflected in impedance values) and porosity. Porosity evaluation with SAM was validated against Synchrotron Radiation μCT measurements. A standard contact ultrasonic method was applied to determine the mesoscopic elastic coefficients. Only matrix impedance in the direction of the bone axis correlated to mesoscale elasticity (adjusted R(2)=[0.16-0.25], p<0.05). The mesoscopic elasticity was found to be highly correlated to the cortical porosity (adj-R(2)=[0.72-0.84], p<10(-5)). Multivariate analysis including both matrix impedance and porosity did not provide a better statistical model of mesoscopic elasticity variations. Our results indicate that, for the elderly population, the elastic properties of the mineralized matrix do not undergo large variations among different samples, as reflected in the low coefficients of variation of matrix impedance (less than 6%). This work suggests that change in the intracortical porosity accounts for most of the variations of mesoscopic elasticity, at least when the analyzed porosity range is large (3-27% in this study). The trend in the variation of mesoscale elasticity with porosity is consistent with the predictions of a micromechanical model consisting of an anisotropic matrix pervaded by cylindrical pores.
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Affiliation(s)
- Mathilde Granke
- UPMC Univ Paris 06, UMR 7623, Laboratoire d'Imagerie Paramétrique, 75005 Paris, France.
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Machado CB, Pereira WCDA, Granke M, Talmant M, Padilla F, Laugier P. Experimental and simulation results on the effect of cortical bone mineralization in ultrasound axial transmission measurements: a model for fracture healing ultrasound monitoring. Bone 2011; 48:1202-9. [PMID: 21376151 DOI: 10.1016/j.bone.2011.02.021] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 12/06/2010] [Revised: 01/27/2011] [Accepted: 02/24/2011] [Indexed: 10/18/2022]
Abstract
Ultrasound axial transmission (UAT), a technique using propagation of ultrasound waves along the cortex of cortical bones, has been proposed as a diagnostic technique for the evaluation of fracture healing. Quantitative ultrasound parameters have been reported to be sensitive to callus changes during the regeneration process. The aim of this work was to identify the specific effect of cortical bone mineralization on UAT measurements by means of numerical simulations and experiments using a reverse fracture healing approach. A cortical bovine femur sample was used, in which a 3mm fracture gap was drilled. A 3mm thick cortical bone slice, extracted from another location in the bone sample, was submitted to a progressive demineralization process with EDTA during 12 days. UAT measurements and simulations using a 1MHz probe were performed with the demineralized slice placed into the fracture gap to mimic different stages of mineralization during the healing process. The calcium loss of the slice due to the EDTA treatment was recorded everyday, and its temporal evolution could be modeled by an exponential law. A 50MHz scanning acoustic microscopy was also used to assess the mineralization degree of the bone slice at the end of the intervention. These data were used in the numerical simulations to derive a model of the time evolution of bone slice mechanical properties. From both the experiments and the simulations, a significant and progressive increase in the time of flight (TOF; p<0.001) of the propagating waves measured by UAT was observed during the beginning of the demineralization process (first 4 days). Although the simulated TOF values were slightly larger than the experimental ones, they both exhibited a similar time-dependence, validating the simulation approach. Our results suggest that TOF measured in axial transmission is affected by local changes of speed of sound induced by changes in local mineralization. TOF may be an appropriate indicator to monitor callus maturation.
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Akhtar R, Sherratt MJ, Watson REB, Kundu T, Derby B. Mapping the Micromechanical Properties of Cryo-sectioned Aortic Tissue with Scanning Acoustic Microscopy. ACTA ACUST UNITED AC 2011; 1132E:ukpmcpa27262. [PMID: 19603080 DOI: 10.1557/proc-1132-z03-07] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022]
Abstract
Although the gross mechanical properties of ageing tissues have been extensively documented, biological tissues are highly heterogeneous and little is known concerning the variation of micro-mechanical properties within tissues. Here, we use Scanning Acoustic Microscopy (SAM) to map the acoustic wave speed (a measure of stiffness) as a function of distance from the outer adventitial layer of cryo-sectioned ferret aorta. With a 400 MHz lens, the images of the aorta samples matched those obtained following chemical fixation and staining of sections which were viewed with fluorescence microscopy. Quantitative analysis was conducted with a frequency scanning or V(f) technique by imaging the tissue from 960 MHz to 1.1 GHz. Undulating acoustic wave speed (stiffness) distributions corresponded with elastic fibre locations in the tissue; there was a decrease in wave speed of around 40 ms(-1) from the adventitia (outer layer) to the intima (innermost).
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Affiliation(s)
- Riaz Akhtar
- Manchester Materials Science Centre, School of Materials, The University of Manchester, Grosvenor Street, Manchester, M1 7HS, United Kingdom
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18
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Preininger B, Checa S, Molnar FL, Fratzl P, Duda GN, Raum K. Spatial-temporal mapping of bone structural and elastic properties in a sheep model following osteotomy. ULTRASOUND IN MEDICINE & BIOLOGY 2011; 37:474-483. [PMID: 21256668 DOI: 10.1016/j.ultrasmedbio.2010.12.007] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/19/2010] [Revised: 12/06/2010] [Accepted: 12/08/2010] [Indexed: 05/30/2023]
Abstract
The course of bone healing in animal models is conventionally monitored by morphologic approaches, which do not allow the determination of the material properties of the tissues involved. Mechanical characterization techniques are either dedicated to the macroscopic evaluation of the entire organ or to the microscopic evaluation of the tissue matrix. The latter provides insight to regionally specific alterations at the tissue level in the course of healing. In this study, quantitative scanning acoustic microscopy was used at 50 MHz to investigate microstructural and elastic alterations of mineralized callus and cortical tissue after transverse osteotomy in sheep tibiae. Analyses were performed after 2, 3, 6 and 9 weeks of consolidation with stabilization by either a rigid or a semi-rigid external fixator. Increased stiffness and decreased porosity were observed in the callus tissue over the course of the healing process, which was dependent on the fixator type. In the adjacent cortical tissue, stiffness decreased during the first 3 weeks. Cortical porosity increased over time but the time-dependence was different between the two fixator types. The changes of stiffness of cortical and callus tissues were measured with respect to the distance to the periosteal cortex-callus boundary. Stiffness of cortex and callus tissue smoothly decreased as a function of the distance from the inner cortical region. The data obtained in this study can help to understand the processes involved in tissue maturation during endogenous bone healing.
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Affiliation(s)
- Bernd Preininger
- Julius Wolff Institute and Center for Musculoskeletal Surgery, Charité-Universitätsmedizin Berlin, Berlin, Germany
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19
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Baron C. Propagation of elastic waves in an anisotropic functionally graded hollow cylinder in vacuum. ULTRASONICS 2011; 51:123-130. [PMID: 20692675 DOI: 10.1016/j.ultras.2010.07.001] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/19/2010] [Revised: 07/01/2010] [Accepted: 07/02/2010] [Indexed: 05/29/2023]
Abstract
As a non-destructive, non-invasive and non-ionizing evaluation technique for heterogeneous media, the ultrasonic method is of major interest in industrial applications but especially in biomedical fields. Among the unidirectionally heterogeneous media, the continuously varying media are a particular but widespread case in natural materials. The first studies on laterally varying media were carried out by geophysicists on the Ocean, the atmosphere or the Earth, but the teeth, the bone, the shells and the insects wings are also functionally graded media. Some of them can be modeled as planar structures but a lot of them are curved media and need to be modeled as cylinders instead of plates. The present paper investigates the influence of the tubular geometry of a waveguide on the propagation of elastic waves. In this paper, the studied structure is an anisotropic hollow cylinder with elastic properties (stiffness coefficients c(ij) and mass density ρ) functionally varying in the radial direction. An original method is proposed to find the eigenmodes of this waveguide without using a multilayered model for the cylinder. This method is based on the sextic Stroh's formalism and an analytical solution, the matricant, explicitly expressed under the Peano series expansion form. This approach has already been validated for the study of an anisotropic laterally-graded plate (Baron et al., 2007; Baron and Naili, 2010) [6,5]. The dispersion curves obtained for the radially-graded cylinder are compared to the dispersion curves of a corresponding laterally-graded plate to evaluate the influence of the curvature. Preliminary results are presented for a tube of bone in vacuum modelling the in vitro conditions of bone strength evaluation.
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Affiliation(s)
- Cécile Baron
- UPMC Univ. Paris 06, UMR 7190, Institut Jean Le Rond d'Alembert, F-75005 Paris, France.
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A determination of the minimum sizes of representative volume elements for the prediction of cortical bone elastic properties. Biomech Model Mechanobiol 2011; 10:925-37. [DOI: 10.1007/s10237-010-0284-9] [Citation(s) in RCA: 44] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/17/2010] [Accepted: 12/31/2010] [Indexed: 10/18/2022]
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Zhao X, Wilkinson S, Akhtar R, Sherratt MJ, Watson REB, Derby B. Quantifying Micro-mechanical Properties of Soft Biological Tissues with Scanning Acoustic Microscopy. MATERIALS RESEARCH SOCIETY SYMPOSIA PROCEEDINGS. MATERIALS RESEARCH SOCIETY 2011; 1301:mrsf10-1301-oo13-08. [PMID: 22723722 PMCID: PMC3378028 DOI: 10.1557/opl.2011.572] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/13/2022]
Abstract
In this study we have established a new approach to more accurately map acoustic wave speed (which is a measure of stiffness) within soft biological tissues at micrometer length scales using scanning acoustic microscopy. By using thin (5 μm thick) histological sections of human skin and porcine cartilage, this method exploits the phase information preserved in the interference between acoustic waves reflected from the substrate surface as well as internal reflections from the acoustic lens. A stack of images were taken with the focus point of acoustic lens positioned at or above the substrate surface, and processed pixel by pixel using custom software developed with LABVIEW and IMAQ (National Instruments) to extract phase information. Scanning parameters, such as acoustic wave frequency and gate position were optimized to get reasonable phase and lateral resolution. The contribution from substrate inclination or uneven scanning surface was removed prior to further processing. The wave attenuation was also obtained from these images.
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Affiliation(s)
- Xuegen Zhao
- School of Materials, the University of Manchester, Manchester, M1 7HS, United Kingdom
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Rupin F, Bossis D, Vico L, Peyrin F, Raum K, Laugier P, Saïed A. Adaptive remodeling of trabecular bone core cultured in 3-D bioreactor providing cyclic loading: an acoustic microscopy study. ULTRASOUND IN MEDICINE & BIOLOGY 2010; 36:999-1007. [PMID: 20510189 DOI: 10.1016/j.ultrasmedbio.2010.03.004] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/21/2009] [Revised: 03/03/2010] [Accepted: 03/03/2010] [Indexed: 05/29/2023]
Abstract
Scanning acoustic microscopy (SAM) provides high-resolution mapping of acoustic impedance related to tissue stiffness. This study investigates changes in tissue acoustic impedance resulting from mechanical loading in trabecular bone cores cultured in 3-D bioreactor. Trabecular bone cores were extracted from bovine sternum (n = 15) and ulna metaphysis (n = 15). From each bone, the samples were divided in three groups. The basal control (BC) group was fixed post-extraction, the control (C) and loaded (L) groups were maintained as viable in a controlled culture-loading cell over three weeks. Samples of L group underwent a dynamic compressive strain, whereas C samples were left free from loading. After three weeks, L and C samples were embedded in polymethylmethacrylate and all samples were explored with a 200-MHz SAM. For each specimen, the acoustic impedance distribution was obtained over flat and polished section of bone blocks prepared parallel to the loading axis. Our results showed that in basal controls, the acoustic impedance varied with bone anatomical location and was 15% higher in weight-bearing ulna compared with nonweight-bearing sternum. The comparison between loaded and nonloaded groups showed that sternum-only exhibited significant change in acoustic impedance (L vs. C sternum: +9%). This result suggests that when the applied load is comparable with the stress naturally experienced by a weight-bearing bone (ulna), the tissue material properties (manifested by acoustic impedance) remained unchanged. In conclusion, SAM is a potentially relevant tool for the assessment of subtle changes in intrinsic microelastic properties of bone induced by adaptive remodeling process in response to mechanical loading.
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