TY - JOUR A1 - Campoli, Gianni A1 - Baka, Nora A1 - Kaptein, Bart A1 - Valstar, Edward A1 - Zachow, Stefan A1 - Weinans, Harrie A1 - Zadpoor, Amir Abbas T1 - Relationship between the shape and density distribution of the femur and its natural frequencies of vibration JF - Journal of Biomechanics N2 - It has been recently suggested that mechanical loads applied at frequencies close to the natural frequencies of bone could enhance bone apposition due to the resonance phenomenon. Other applications of bone modal analysis are also suggested. For the above-mentioned applications, it is important to understand how patient-specific bone shape and density distribution influence the natural frequencies of bones. We used finite element models to study the effects of bone shape and density distribution on the natural frequencies of the femur in free boundary conditions. A statistical shape and appearance model that describes shape and density distribution independently was created, based on a training set of 27 femora. The natural frequencies were then calculated for different shape modes varied around the mean shape while keeping the mean density distribution, for different appearance modes around the mean density distribution while keeping the mean bone shape, and for the 27 training femora. Single shape or appearance modes could cause up to 15% variations in the natural frequencies with certain modes having the greatest impact. For the actual femora, shape and density distribution changed the natural frequencies by up to 38%. First appearance mode that describes the general cortical bone thickness and trabecular bone density had one of the strongest impacts. The first appearance mode could therefore provide a sensitive measure of general bone health and disease progression. Since shape and density could cause large variations in the calculated natural frequencies, patient-specific FE models are needed for accurate estimation of bone natural frequencies. Y1 - 2014 U6 - https://doi.org/10.1016/j.jbiomech.2014.08.008 VL - 47 SP - 3334 EP - 3343 PB - Elsevier ER -