Estimation of mass apparent density and Young’s modulus of femoral neck-head region

References

• Knudson D. Fundamentals of biomechanics 2nd ed. New York: Springer Publication; 2007.
   Google Scholar
• Klika V. Theoretical biomechanics. Coratia: In Tech Publishers; 2011.
   Google Scholar
• Keyak JH, Rossi SA, Jones KA, et al. Prediction of fracture location in the proximal femur using finite element models. Med Eng Phys. 2001;23(9):657–664.
   PubMed Web of Science ®Google Scholar
• Laz PJ, Stowe JQ, Baldwin MA, et al. Incorporating uncertainty in mechanical properties for finite element-based evaluation of bone mechanics. J Biomech. 2007;40(13):2831–2836.
   PubMed Web of Science ®Google Scholar
• Fedida R, Yosibash Z, Milgrom C, et al. 2005. Femur mechanical simulation using high-order FE analysis with continuous mechanical properties. Proceedings of ICCB05 - II International conference on computational bioengineering. Lisbon, Portugal: IST Press 1:85–96.
   Google Scholar
• Dragomir-Daescu D, Op Den Buijs J, Mceligot S, et al. Robust QCT/FEA models of proximal femur stiffness and fracture load during a sideways fall on the Hip. Ann Biomed Eng. 2011;39(2):742–755.
   PubMed Web of Science ®Google Scholar
• Helgason B, Perilli E, Schileo E, et al. Mathematical relationships between bone density and mechanical properties: a literature review. Clin Biomech (Bristol, Avon)). 2008;23(2):135–146.
   PubMed Web of Science ®Google Scholar
• Op Den Buijs J, Dragomir-Daescu D. Validated finite element models of the proximal femur using two-dimensional projected geometry and bone density. Comput Methods Programs Biomed. 2011;104(2):168–174.
   PubMed Web of Science ®Google Scholar
• Nishiyama KK, Gilchrist S, Guy P, et al. Proximal femur bone strength estimated by a computationally fast finite element analysis in a sideways fall configuration. J Biomech. 2013;46(7):1231–1236.
   PubMed Web of Science ®Google Scholar
• Munckhof Sven van den,  Zadpoor AA. How accurately can we predict the fracture load of the proximal femur using finite element models? Clin Biomech (Bristol, Avon)). 2014;29(4):373–380.
   PubMed Web of Science ®Google Scholar
• Schileo E, Balistreri L, Grassi L, et al. To what extent can linear finite element models of human femora predict failure under stance and fall loading configurations? J Biomech. 2014;47(14):3531–3538.
   PubMed Web of Science ®Google Scholar
• Mirzaei M, Keshavarzian M, Alavi F, et al. QCT‑based failure analysis of proximal femurs under various loading orientations. Med Biol Eng Comput. 2015;53(6):477–486.
   PubMed Web of Science ®Google Scholar
• Sitzer A, Wendlandt R, Barkhausen J, et al. Determination of material properties related to quantitative CT in human femoral bone for patient specific finite element analysis - A comparison of material laws. WebmedCentral Orthopaed. 2012;3(3):1–11.
   Google Scholar
• Snyder S M, Schneider E. Estimation of mechanical properties of cortical bone by computed tomography. J Orthop Res. 1991;9(3):422–431.
   PubMed Web of Science ®Google Scholar
• Cyganik L, Binkowski M, Kokot G, et al. Prediction of Young's modulus of trabeculae in microscale using macro-scale's relationships between bone density and mechanical properties. J Mech Behav Biomed Mater. 2014;36:120–134.
   PubMed Web of Science ®Google Scholar
• Chen G, Schmutz B, Epari D, et al. A new approach for assigning bone material properties from CT images into finite element models. J Biomech. 2010;43(5):1011–1015.
   PubMed Web of Science ®Google Scholar
• Belaid D, Bouchoucha A. 2015. Modeling of the mechanical behavior of the human femur: stress analysis and strain. ICCMSE, American Institute of Physics conference proceeding 1702, 190023: p. 1–4.
   Google Scholar
• Fonseca EMM, Lima MJ, Barreira LMS. 2009. Human femur assessment using isotropic and orthotropic materials dependent of bone density, 3^rd International Conference on Integrity, Reliability and Failure, Porto/Portugal, Paper Ref: S1904_P0345.
   Google Scholar
• Spratt JD, Salkowski LR, Loukas M, et al. 2017. Weir & Abrahams' imaging atlas of human anatomy. 5th ed. London (UK): Elsevier.
   Google Scholar
• Bártolo PJ, Bidanda B. 2008. Bio-materials and prototyping applications in medicine. US: Springer Science.
   Google Scholar
• Hambli R, Allaoui S. A Robust 3D finite element simulation of human proximal femur progressive fracture under stance load with experimental validation. Ann Biomed Eng. 2013;41(12):2515–2527.
   PubMed Web of Science ®Google Scholar
• Adams G J, Cook R B, Hutchinson J R, et al. Bone apparent and material densities examined by cone beam computed tomography and the archimedes technique: coMparison of the two methods and their results. Front Mech Eng. 2018;3(23):1–9.
   Google Scholar
• Rho J Y, Hobatho M C, Ashman R B. Relations of mechanical properties to density and CT numbers in human Bone. Med Eng Phys. 1995;17(5):347–355.
   PubMed Web of Science ®Google Scholar
• Rezaei A, Carlson K D, Giambini H, et al. Optimizing accuracy of proximal femur elastic modulus equations. Ann Biomed Eng. 2019;47(6):1391–1399.
   PubMed Web of Science ®Google Scholar
• Izzawati B, Daud R, Afendi M, et al. Convergence and stress analysis of the homogeneous structure of human femur bone during standing up condition. 3rd EGM conference. American Institute of Physics; 2017 p. 1–7.
   Google Scholar
• Hamandi F, Goswami T. Macrodamage accumulation model for a human femur. Appl Bionics Biomech. 2017;2017:4539178–4539119.
   PubMed Web of Science ®Google Scholar
• Painkra R, Sanyal S, Bit A. An anisotropic analysis of human femur bone with walking posture: experimental and numerical analysis. BioNanoSci. 2018;8(4):1054–1064.
   Web of Science ®Google Scholar
• Liu X S, Cohen A, Shane E, et al. Bone density, geometry, microstructure, and stiffness: relationships between peripheral and central skeletal sites assessed by DXA, HR-pQCT, and cQCT in premenopausal women. J Bone Miner Res. 2010;25(10):2229–2238.
   PubMed Web of Science ®Google Scholar
• Wirtz D C, Schiffers N, Pandorf T, et al. Critical evaluation of known bone material properties to realize anisotropic FE-simulation of the proximal femur. J Biomech. 2000;33(10):1325–1330.
   PubMed Web of Science ®Google Scholar
• Morgan EF, Bayraktar HH, Keaveny TM. Trabecular bone modulus–density relationships depend on anatomic site. J Biomech. 2003;36(7):897–904.
   PubMed Web of Science ®Google Scholar
• Banse X, Delloye C, Cornu O, et al. Comparative left-right mechanical testing of cancellous bone from normal femoral heads. J Biomech. 1996;29(10):1247–1253.
   PubMed Web of Science ®Google Scholar
• Geraldes D M, Phillips AT. A comparative study of orthotropic and isotropic bone adaptation in the femur. Int J Numer Method Biomed Eng. 2014;30(9):873–889.
   PubMed Web of Science ®Google Scholar
• Vesenjak M, Matela J, Young P, et al. Imaging, virtual reconstruction and computational material (tissue) testing. Acta Medico-Biotechnica. 2009;2:19–30.
   Google Scholar
• Akrami M, Craig K, Dibaj M, et al. A three-dimensional finite element analysis of the human hip. J Med Eng Technol. 2018;42(7):546–552.
   PubMedGoogle Scholar
• Genc KO, Cavanagh PR. 2012. A Modeling Framework for Examining Changes in Femoral Strength due to Long Duration Bedrest. 36th Annual meeting, American Society of Biomechanics; Gainesville, FL.
   Google Scholar
• Marco M, Giner E, Larraínzar R, et al. Analysis of mechanical behavior variation in the proximal femur using X-FEM (Extended Finite Element Method). Rev Osteoporos Metab Miner. 2016;8(2):61–69.
   Web of Science ®Google Scholar
• Kim H S, Park J Y, Kim N E, et al. Finite element modeling technique for predicting mechanical behaviors on mandible bone during mastication. J Adv Prosthodont. 2012;4(4):218–226.
   PubMed Web of Science ®Google Scholar
• Young P G, Beresford-West T B H, Coward S R L, et al. An efficient approach to converting three-dimensional image data into highly accurate computational models. Philos Trans A Math Phys Eng Sci. 2008;366(1878):3155–3173.
   PubMed Web of Science ®Google Scholar
• Ricardo D, Vincent D, António R, et al. Development of a relevant image processing method to characterize the distribution of tissue within a bone structure. J Comp Sci Syst Biol. 2015;8(4):199–202.
   Google Scholar
• Liebschner M A. Biomechanical considerations of animal models used in tissue engineering of bone. Biomaterials. 2004;25(9):1697–1714.
   PubMed Web of Science ®Google Scholar
• Pearce A I, Richards R G, Milz S, et al. Animal models for implant biomaterial research in bone: A review. Eur Cell Mater. 2007;13:1–10.
   PubMed Web of Science ®Google Scholar