Bone Remodeling Model Integrating the Biological Function and Damage Influences for the Cortical-Trabecular Interface

Abstract

Bone remodeling process has been widely investigated in the literature experimentally and theoretically, its biological process allows the microstructure continuous renewal over time and repairing damaged bones. In this work, a study of the biological function’s (f_bio) effect on the bone remodeling process is made through the bone density evolution since it is one of the important parameters to control bone volume variation. The theoretical issue was discussed and simulated to show the bone volume fraction growth and the porosity evolution, comparing, and adjusting the results to behavior of experimental data. The biological bone remodeling process is modeled in terms of equations describing the activity of the Basic Multi-cellular Units (BMU). We use a model basing on Garcia Aznar’s model which can simulate damage repair. Simulation result concurs with experimental and clinical data: bone porosity decreases during time and keep decreasing as the biological factors increase. In addition, the apparent density (ρ_a) decreases as bone volume fraction increases. Indeed, we predict an intermediate zone, between cortical and trabecular bone, settled on rate of bone volume fraction. The governance of the bone density evolution will take into consideration the bone volume evolution during the youthful and the maturation phase with their saturation zone for adult in terms of growth.