2008
DOI: 10.1002/cnm.1214
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Towards a multi‐scale computerized bone diagnostic system: 2D micro‐scale finite element analysis

Abstract: SUMMARYCurrently, there is major interest within the biomedical community in developing accurate non-invasive means for analyzing bone micro-structure. This paper presents a new approach for a multi-scale finite element (FE) analysis of a trabecular structure. Two domain decomposition approaches are investigated as a basis for computational analysis at the micro-scale level, which is then applied for solving a 2D elasticity FE problem. In addition, a homogenization procedure from micro-to macro-scale level is … Show more

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Cited by 12 publications
(7 citation statements)
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“…Our approach for multiscale finite element analysis enables continuous transition between macro-and micro-scales (Podshivalov et al, 2009) Due to changes in geometry and without updating local material properties, effective mechanical properties of bone vary at each intermediate scale. The changes range from material that is practically isotropic at the macro-scale level to anisotropic material at the micro-scale level.…”
Section: Multiscale Fe Approachmentioning
confidence: 99%
“…Our approach for multiscale finite element analysis enables continuous transition between macro-and micro-scales (Podshivalov et al, 2009) Due to changes in geometry and without updating local material properties, effective mechanical properties of bone vary at each intermediate scale. The changes range from material that is practically isotropic at the macro-scale level to anisotropic material at the micro-scale level.…”
Section: Multiscale Fe Approachmentioning
confidence: 99%
“…According to Podshivalov et al (2008) complex multilevel structure of bone tissue consists of five structural levels: Macro-structural (mm-μm) -trabecular and cortical bone tissue diameter; Microstructural (10-500 μm) -osteon and trabeculae; Sub-microstructural (1-10 μm) -lamelae and individual trabeculae; Nano-structural (100 nm-1 μm) -collagen and minerals deposited in the matrix and Sub-nanostructural (less than 100 nm) -molecular components of collagen and protein molecules. In this paper, we will focus on the macro-and microstructural level of bone structure.…”
Section: Long Bone Structurementioning
confidence: 99%
“…Bone structure is very variable among species but also in the body of one specimen depending on bone function аnd specific factors like age, gender, general condition and lifestyle (Jowsey 1966;Mavropoulos et al 2007;Podshivalov et al 2008). For example, human vertebrae cancellous bone is mostly made of rod-like trabeculae, while the femoral head mainly consists of plate-like trabeculae (Podshivalov et al 2008).…”
Section: Introductionmentioning
confidence: 99%
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“…For instance, the jagged interface and sharp corner arise when converting the image pixels into C 0 finite elements, leading to artificial localized responses such as stress concentration [5,6]. In other words, avoiding distorted elements in the process of image reconstruction and mesh generation is a tedious task [7][8][9][10]. Another issue arising from the model reconstruction process based on high-resolution medical images is the background noise and blurred objects, which could lead to incorrect numerical predictions and diagnoses due to the geometry errors in the simulation models [5,6,[10][11][12].…”
mentioning
confidence: 99%