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Outer-Boundary Assisted Segmentation and Quantification of Trabecular Bones by an Imagej Plugin

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Combining radial point interpolation meshless method with a new homogenization technique for trabecular bone

Marco Costa Marques¹, Jorge Belinha^1,2, António Fonseca Oliveira³

¹INEGI - Institute of Science and Innovation in Mechanical and Industrial Engineering, Porto, Portugal.

Acta of Bioengineering and Biomechanics

|November 20, 2019

Summary

This study introduces an efficient homogenization method for trabecular bone, significantly reducing computational cost while accurately predicting micro-scale mechanical properties. The technique offers a robust solution for analyzing heterogeneous bone tissue.

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Area of Science:

Biomedical Engineering
Materials Science
Computational Mechanics

Background:

Bone tissue exhibits a hierarchical structure with distinct macro- and micro-scale properties.
Traditional multiscale homogenization techniques face high computational costs due to bone's heterogeneous micro-scale domains.

Purpose of the Study:

To develop a computationally efficient homogenization methodology for defining the micro-scale mechanical properties of heterogeneous trabecular bone.
To reduce the computational expense associated with analyzing bone tissue at multiple scales.

Main Methods:

Utilized the fabric tensor concept to establish material principal directions.
Employed an anisotropic phenomenological law linking local apparent density to directional elasticity moduli.
Validated the methodology through numerical tests assessing sensitivity to micro-patch size and orientation.

Main Results:

The developed technique demonstrates robustness and provides consistent material homogenization for trabecular bone.
Successfully integrated with finite element method and radial point interpolation meshless method.
Numerical tests confirmed the technique's reliability.

Conclusions:

The proposed methodology accurately predicts the mechanical behavior of micro-scale trabecular bone patches.
Achieves accurate predictions in a fraction of the time required by conventional homogenization methods.
Offers a computationally efficient approach for structural analyses of trabecular bone.