New Model of Bone Tissue Adaptation: Another Example of the Application of the Optimal Response Hypothesis

摘要

The search for the cell-based mathematical model of bone remodeling with respect to adaptation to variable in time loading conditions is a subject of this paper. Following the results of biomedical and biomechanical investigations of the other authors an assumption is made that osteocytes, functioning as sensors, have fading in space influence on actor cells. These actor cells -osteoblasts and osteoclasts are responsible for the changes of bone microstructure. An idea of remodeling power defined by analogy to the mechanical power is introduced and is crucial in the proposed approach. In addition, the hypothesis of the optimal response of bone, proposed and used in derivation of remodeling law of trabecular bone structure by the author in the previous publications, is applied in the present formulation. The class of cell-based remodeling laws derived in the present work results in creation of porous material. Its characteristics are dependent on loading conditions and the interactions between cells. Only mechanical stimulus is considered as a force driving the remodeling process, but in future also non-mechanical effects can be included in the formulation. The numerical simulations were performed to examine the effects of remodeling governed by derived remodeling law and selected results of calculations are presented.