A mathematical model of bone remodeling process: Effect of vitamin D

Abstract

We propose a system of differential equations in order to investigate bone remodeling process based on the effect of vitamin D. The model is then analyzed by using singular perturbation technique in order to identify different dynamic behaviors exhibited by the model. Numerical simulations are also carried out to support our theoretical predictions. Both of theoretical and numerical results show that the model can exhibit a periodic behavior corresponds to the pulsatile serum level of vitamin D observed in the clinical evidence.