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Related Experiment Video

Updated: Jun 3, 2026

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion

Published on: April 11, 2018

A two-parameter model of the effective elastic tensor for cortical bone.

Quentin Grimal¹, Guillermo Rus, William J Parnell

¹UPMC Univ Paris 06, UMR 7623, LIP, F-75005 Paris, France. quentin.grimal@upmc.fr

Journal of Biomechanics

|April 2, 2011

Summary

A new two-parameter model simplifies cortical bone elasticity. This approach accurately predicts bone stiffness using mineral content and porosity, crucial for biomechanical studies.

Related Experiment Videos

Last Updated: Jun 3, 2026

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion

Published on: April 11, 2018

Area of Science:

Biomechanics
Materials Science
Orthopedics

Background:

Multiscale models of cortical bone elasticity require numerous parameters.
Cortical bone is a composite of mineralized matrix and pores.

Purpose of the Study:

To develop a simplified two-parameter model for cortical bone's macro-scale anisotropic elastic properties.
To demonstrate that two variable parameters (mineral content and porosity) can capture bone elasticity.

Main Methods:

Cortical bone modeled as a two-phase composite (mineralized matrix and pores).
Ultrastructure treated as transversely isotropic, scaled by mineral volume fraction (f_ha).
Pore network modeled as water-filled cylinders, described by porosity (p).
Effective elasticity tensor calculated using multiscale micromechanics.

Main Results:

The two-parameter model (f_ha, p) accurately predicts macroscopic elastic properties.
Optimized f_ha and p values were unique and realistic across literature datasets.
Modeled stiffness coefficients showed favorable comparison with experimental data.

Conclusions:

A simplified two-parameter model is sufficient for cortical bone elasticity.
This model is valuable for large-scale parametric studies of bone mechanics.
The findings have implications for understanding bone tissue properties and response.