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Different Types of Bone Fractures Observed by Terahertz Time-Domain Spectroscopy

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Abstract

Microcracks are common in compact bone, but their continued propagation can lead to macroscopic fractures. These microcracks cannot be visualized radiographically, necessitating alternative noninvasive methods to identify excessive microcracking and prevent fractures. In this study, terahertz time-domain spectroscopy (THz-TDS) was used to examine bone interiors near cracks resulting from loading in bovine tibia samples. Various loading configurations, such as impact, quasi-static loading, and fatigue loading, known to induce different types of micro-scale damage, were applied. The values of refractive index and absorption coefficient of the bone samples were then determined from the THz-TDS spectra acquired before loading and after fracture. The study revealed that different loading configurations led to varying terahertz optical coefficients associated with various types of bone fractures. Specifically, the refractive index notably increased under fatigue loading but remained relatively stable during quasi-static bending. The absorption coefficient of bone decreased only under fatigue loading. Furthermore, samples were subjected to axial and radial impacts without sustaining damage. Results indicated that in the undamaged state, the change in refractive index was smaller compared to after impact failure, while the change in absorption coefficient remained consistent after failure. Under radial impact loading, changes in refractive index and absorption coefficient were significantly more pronounced than under axial loading. Prior to loading, the measured value of refractive index was 2.72 ± 0.11, and the absorption coefficient was 6.33 ± 0.09 mm−1 at 0.5 THz.

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References

  1. Martin RB, Burr DB. Structure Function and Adaptation of Compact Bone. 1989.

  2. Burr DB, Martin RB, Schaffler MB, Radin EL. Bone remodeling in response to in vivo fatigue microdamage. J Biomech. 1985;18(3):189–200.

    Article  Google Scholar 

  3. Qin Q-H. Mechanics of cellular bone remodeling: coupled thermal, electrical, and mechanical field effects: CRC Press; 2013.

  4. Martin RB, Burr DB, Sharkey NA, Fyhrie DP. Skeletal tissue mechanics: Springer; 1998.

  5. Poundarik AA, Vashishth D. Multiscale imaging of bone microdamage. Connect Tissue Res. 2015;56(2):87–98.

    Article  Google Scholar 

  6. Qu C, Qin Q-H, Kang Y. A hypothetical mechanism of bone remodeling and modeling under electromagnetic loads. Biomaterials. 2006;27(21):4050–7.

    Article  Google Scholar 

  7. Burr DB, Milgrom C. Musculoskeletal fatigue and stress fractures. CRC Press; 2001.

  8. Bianchi S, Luong DH. Stress fractures of the ankle malleoli diagnosed by ultrasound: a report of 6 cases. Skeletal Radiol. 2014;43:813–8.

    Article  Google Scholar 

  9. Burge R, Dawson-Hughes B, Solomon DH, Wong JB, King A, Tosteson A. Incidence and economic burden of osteoporosis-related fractures in the United States, 2005–2025. J Bone Miner Res. 2007;22(3):465–75.

    Article  Google Scholar 

  10. Bhattacharya P, Van Lenthe G. Experimental quantification of bone mechanics. Bone substitute biomaterials: Elsevier; 2014. p. 30–71.

    Google Scholar 

  11. Glasoe WM, Allen MK, Kepros T, Stonewall L, Ludewig PM. Dorsal first ray mobility in women athletes with a history of stress fracture of the second or third metatarsal. J Orthop Sports Phys Ther. 2002;32(11):560–7.

    Article  Google Scholar 

  12. Aoki Y, Yasuda K, Tohyama H, Ito H, Minami A. Magnetic resonance imaging in stress fractures and shin splints. Clin Orthopaed Relate Res®. 2004;421:260–7.

    Article  Google Scholar 

  13. Burr DB. Stress concentrations and bone microdamage: John Currey’s contributions to understanding the initiation and arrest of cracks in bone. Bone. 2019;127:517–25.

    Article  Google Scholar 

  14. Dominguez VM, Agnew AM. Microdamage as a bone quality component: Practical guidelines for the two-dimensional analysis of linear microcracks in human cortical bone. JBMR Plus. 2019;3(6): e10203.

    Article  Google Scholar 

  15. Stone KL, Seeley DG, Lui LY, Cauley JA, Ensrud K, Browner WS, et al. BMD at multiple sites and risk of fracture of multiple types: long-term results from the Study of Osteoporotic Fractures. J Bone Miner Res. 2003;18(11):1947–54.

    Article  Google Scholar 

  16. Frost HL. Presence of microscopic cracks in vivo in bone. Henry Ford Hosp Med J. 1960;8(1):25–35.

    Google Scholar 

  17. Vashishth D, Koontz J, Qiu S, Lundin-Cannon D, Yeni Y, Schaffler M, et al. In vivo diffuse damage in human vertebral trabecular bone. Bone. 2000;26(2):147–52.

    Article  Google Scholar 

  18. Burr D, Hooser M. Alterations to the en bloc basic fuchsin staining protocol for the demonstration of microdamage produced in vivo. Bone. 1995;17(4):431–3.

    Article  Google Scholar 

  19. Zioupos P, Currey J. The extent of microcracking and the morphology of microcracks in damaged bone. J Mater Sci. 1994;29:978–86.

    Article  Google Scholar 

  20. Yin L, Venkatesan S, Webb D, Kalyanasundaram S, Qin Q-H. Effect of cryo-induced microcracks on microindentation of hydrated cortical bone tissue. Mater Charact. 2009;60(8):783–91.

    Article  Google Scholar 

  21. Agcaoglu S, Akkus O. Acoustic emission based monitoring of the microdamage evolution during fatigue of human cortical bone. J Biomech Eng. 2013;135(8): 081005.

    Article  Google Scholar 

  22. Tonouchi M. Cutting-edge terahertz technology. Nat Photonics. 2007;1(2):97–105.

    Article  Google Scholar 

  23. Khalil S, El Hotaby W, Bassyouni G. Terahertz pulsed spectroscopy for optical and dielectric properties of demineralized bone matrix, collagen and hydroxyapatite. Egyptian J Chem. 2019;62:327–46.

    Google Scholar 

  24. Stringer M, Lund D, Foulds A, Uddin A, Berry E, Miles R, et al. The analysis of human cortical bone by terahertz time-domain spectroscopy. Phys Med Biol. 2005;50(14):3211.

    Article  Google Scholar 

  25. Bessou M, Chassagne B, Caumes J-P, Pradère C, Maire P, Tondusson M, et al. Three-dimensional terahertz computed tomography of human bones. Appl Opt. 2012;51(28):6738–44.

    Article  Google Scholar 

  26. Dikmelik Y, Spicer JB, Fitch MJ, Osiander R. Effects of surface roughness on reflection spectra obtained by terahertz time-domain spectroscopy. Opt Lett. 2006;31(24):3653–5.

    Article  Google Scholar 

  27. Draper ER, Goodship AE. A novel technique for four-point bending of small bone samples with semi-automatic analysis. J Biomech. 2003;36(10):1497–502.

    Article  Google Scholar 

  28. Duvillaret L, Garet F, Coutaz J-L. A reliable method for extraction of material parameters in terahertz time-domain spectroscopy. IEEE J Sel Top Quantum Electron. 1996;2(3):739–46.

    Article  Google Scholar 

  29. Fratzl P, Gupta HS. Nanoscale mechanisms of bone deformation and fracture. Handbook of biomineralization: Biological aspects and structure formation. 2007:397–414.

  30. Fratzl P, Weinkamer R. Nature’s hierarchical materials. Prog Mater Sci. 2007;52(8):1263–334.

    Article  Google Scholar 

  31. Wagermaier W, Klaushofer K, Fratzl P. Fragility of bone material controlled by internal interfaces. Calcif Tissue Int. 2015;97:201–12.

    Article  Google Scholar 

  32. Hengsberger S, Kulik A, Zysset P. Nanoindentation discriminates the elastic properties of individual human bone lamellae under dry and physiological conditions. Bone. 2002;30(1):178–84.

    Article  Google Scholar 

  33. Jowsey J. Studies of Haversian systems in man and some animals. J Anat. 1966;100(Pt 4):857.

    Google Scholar 

  34. Zimmermann EA, Ritchie RO. Bone as a structural material. Adv Healthcare Mater. 2015;4(9):1287–304.

    Article  Google Scholar 

  35. Ritchie RO. The conflicts between strength and toughness. Nat Mater. 2011;10(11):817–22.

    Article  Google Scholar 

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Acknowledgements

This work is financially supported by the National Natural Science Foundation of China (Grant Nos. 11972247 and 12372080).

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Authors and Affiliations

  1. Department of Mechanics, Tianjin University, Tianjin, 300072, China

    Minghao Zhang & Xianjia Meng

  2. Tianjin Key Laboratory of Modern Engineering Mechanics, Tianjin, 300072, China

    Zhiyong Wang, Chuanyong Qu, Chuan Qu & Donghui Fu

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  1. Minghao Zhang
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  2. Xianjia Meng
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  3. Zhiyong Wang
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  4. Chuanyong Qu
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  5. Chuan Qu
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Correspondence to Chuanyong Qu.

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There are no conflicts of interest to declare. The authors declare that they do not have any competing financial or associative interests that could influence the work submitted.

Human or Animal resource

The bovine tibia used in this research was obtained from a slaughterhouse in Tianjin, China. No live animals were used in this research.

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Minghao Zhang and Xianjia Meng: Co-first authors

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Zhang, M., Meng, X., Wang, Z. et al. Different Types of Bone Fractures Observed by Terahertz Time-Domain Spectroscopy. Acta Mech. Solida Sin. (2024). https://doi.org/10.1007/s10338-024-00482-8

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  • DOI: https://doi.org/10.1007/s10338-024-00482-8

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