"Mathematical model of human osteon and its validation by nanomechanical testing of bone lamella"@en . . . . "17" . "Luke\u0161, Jaroslav" . . . "Computer Methods in Biomechanics and Biomedical Engineering" . "27627" . "Mathematical model of human osteon and its validation by nanomechanical testing of bone lamella" . "RIV/68407700:21220/14:00217611!RIV15-TA0-21220___" . "\u0160epitka, Josef" . . "I, P(GAP105/10/2305), P(TA01010185)" . "Korsa, Radim" . . "1025-5842" . "Osteon; Lamella; Micromechanics; Elastic constants; Nanoindentation"@en . "Mare\u0161, Tom\u00E1\u0161" . "[DEC9E3621654]" . "Knowledge of the anisotropic elastic properties of osteon and osteonal lamellae is the key to a description of the elasticity of cortical bone. Various analytical and computational models have been proposed for predicting the mechanical properties of bone at different structural levels. (Hamed et al. 2010) modelled the hierarchical structure of bone at more than one level, using multiple step-by-step micromechanics-based homogenization to capture the behaviour of bone spanning from nano- to sub- microstructure levels. A feature of our model is that we have developed an inverse homogenization scheme from the macroscopic scale of cortical bone to the single lamella level. There are also experimental methods for studies of cortical bone at the level of osteon and osteonal lamella, e.g. instrumented nanoindentation (Lukes et al. 2009), atomic force microscopy (Lefevre et al. 2013) and the ultrasound method (Rho 1996). To validate the mathematical model presented here, we determined the mechanical properties of a single lamella in three perpendicular directions using instrumented nanoindentation."@en . "Mathematical model of human osteon and its validation by nanomechanical testing of bone lamella"@en . . . . "RIV/68407700:21220/14:00217611" . "2"^^ . . . "cervenec" . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . . "4"^^ . "Kytyr, D." . "10.1080/10255842.2014.931078" . . "21220" . . . "Knowledge of the anisotropic elastic properties of osteon and osteonal lamellae is the key to a description of the elasticity of cortical bone. Various analytical and computational models have been proposed for predicting the mechanical properties of bone at different structural levels. (Hamed et al. 2010) modelled the hierarchical structure of bone at more than one level, using multiple step-by-step micromechanics-based homogenization to capture the behaviour of bone spanning from nano- to sub- microstructure levels. A feature of our model is that we have developed an inverse homogenization scheme from the macroscopic scale of cortical bone to the single lamella level. There are also experimental methods for studies of cortical bone at the level of osteon and osteonal lamella, e.g. instrumented nanoindentation (Lukes et al. 2009), atomic force microscopy (Lefevre et al. 2013) and the ultrasound method (Rho 1996). To validate the mathematical model presented here, we determined the mechanical properties of a single lamella in three perpendicular directions using instrumented nanoindentation." . . . . "5"^^ . . . . "Mathematical model of human osteon and its validation by nanomechanical testing of bone lamella" .