A mathematical model of bone remodeling taking account of bone resorption under overload

摘要

Bone remodeling has been one of the most major intersts in the fied of biomechanics. This phenomenon can be defined as a result of balance of bone resorption caused by osteoclasts and bone formation by osteoblasts. Several mathematical models of bone remodeling have been proposed so far (ex. Van Rietberger et al., 1993). Most of them, however, aimed at describing the morphological optimum structure of bone. Thus, they are applicable to predict the static morphogical structure of bone, but not necessarily adequate to describe the evolution of bone remodeling in the time process. Tanaka et al. (1998) proposed a mathematical model of macroscopic internal bone remodeling by taking accunt of physiological remodeling processes. This model described the evolution of bone remodeling in the process of time qualitatively.