Pages 153-154
This study proposes a mathematical model and simulation method for trabecular pattern formation in regeneration process using reaction-diffusion system with consideration of activation due to mechanical stimulation. The trabecular bone regeneration process in the defect was simulated using a voxel finite element method for stress analysis and a finite difference method for the reaction-diffusion analysis. For the defect subjected to macroscopic principal stresses, the formation and the evolution of three-dimensional trabecular pattern was simulate. The results demonstrated that the new trabecular island-like pattern was primarily emerged from the randomly distributed initial marrow condition, followed by the growth into the trabecular-like structures by connecting each other that depended on the macroscopic stress conditions.
