A Density-Dependent Target Stimulus for Inverse Bone (Re)modeling with Homogenized Finite Element Models

Abstract

Inverse bone (re)modeling (IBR) can infer physiological loading conditions from the bone microstructure. IBR scales unit loads, imposed on finite element (FE) models of a bone, such that the trabecular microstructure is homogeneously loaded and the difference to a target stimulus is minimized. Micro-FE (µFE) analyses are typically used to model the microstructure, but computationally more efficient, homogenized FE (hFE) models, where the microstructure is replaced by an equivalent continuum, could be used instead. However, also the target stimulus has to be translated from the tissue to the continuum level. In this study, a new continuum-level target stimulus relating relative bone density and strain energy density is proposed. It was applied using different types of hFE models to predict the physiological loading of 21 distal radii sections, which was subsequently compared to µFE-based IBR. The hFE models were able to correctly identify the dominant load direction and showed a high correlation of the predicted forces, but mean magnitude errors ranged from − 14.7 to 26.6% even for the best models. While µFE-based IBR can still be regarded as a gold standard, hFE-based IBR enables faster predictions, the usage of more sophisticated boundary conditions, and the usage of clinical images.

Advancing 3D Dental Implant Finite Element Analysis: Incorporating Biomimetic Trabecular Bone with Varied Pore Sizes in Voronoi Lattices

“…Similar to composite materials, bone has directional dependency under external loads [23][24][25][26][27][28], which makes it crucial yet challenging to accurately simulate using traditional computer-aided design (CAD) models [29][30][31]. These conventional models, which frequently assume isotropic or orthotropic features, considerably simplify the complex behavior of human cancellous bone.…”

“…The finite element method (FEM) is used in this study to improve the mechanobiology analysis of dental implants [1,20,21,24,[29][30][31][32][34][35][36][37]44,[46][47][48][49]. FEM is a well-known computer method for modeling and analyzing complex physical events by breaking a continuum into a few discrete parts.…”

Advancing 3D Dental Implant FEA: Incorporating Biomimetic Trabecular Bone with Varied Pore Sizes in Voronoi Lattices

“…Similar to composite materials, bone has directional dependency under external loads [23][24][25][26][27][28], which is crucial yet challenging to accurately simulate using traditional computer-aided design (CAD) models [29][30][31]. These conventional models, which frequently assume isotropic or orthotropic features, considerably simplify the complex behavior of human cancellous bone.…”

“…The finite element method (FEM) is used in this study to improve the mechanobiology analysis of dental implants [1,21,24,[29][30][31][32][34][35][36][37]44,[46][47][48][49][50][51]. FEM is a well-known computer method for modeling and analyzing complex physical events by breaking a continuum into a few discrete parts.…”

Topological Approach for Material Structure Analyses in Terms of R2 Orientation Distribution Function

“…In these cases, the microstructure's mechanics are simulated directly, and then some general relation is investigated. Then, for real models, this relation is usually used [4]. In other words, the homogenization approach is widespread.…”