Mathematical models of bone remodeling phenomena based on nonlinear reaction diffusion equation

摘要

This paper is concerned with mathematical modeling of processes and dynamics of the bone remodeling phenomena and computer simulations via the mathematical model. The study of bone remodeling is important from the point of view of medical studies in bone diseases such as osteoporosis, physiological studies in internal architecture of the bone and optimal design of dental implants. So far, intensive research has been made in the related fields. Here it is emphasized that mathematical modeling linked with computer simulations is a reasonable approach to combine and systematize the knowledge concerning bone remodeling that has been obtained so far.