Osteogenesis mechanism based on kinetic theory.

In our earlier studies, we considered osteogenesis to be a nucleation mechanism accompanied by preliminary diffusion and showed the optimum mechanical conditions for promoting this ionic diffusion. In this study, we performed an analysis of the nucleation mechanism of hydroxyapatite (HA) in areas with a high concentration of transported Ca and PO4 ions in the pore region along the collagen alignment. We derived the equation of the HA nucleation rate as a function of hydrostatic tensile stress, sigma P and surface energy change (gamma-lambda), where gamma is the surface energy of the HA particle and lambda is the decreasing factor of gamma during HA nucleation. lambda is thus related to the effect of chemical and electric stimulations. Finally, we formulated a unified equation of the nucleation rate of HA, which consists of ionic diffusion and HA nucleation processes.