骨の細胞の非線形刺激応答を表現する数理モデルの構築

抄録

A physical stimulus is very promising method to promote the regeneration of bone tissue in vitro by stimulating osteoblastic calcification, giving better mechano-compatibility to the regenerated bone. However, the prediction of stimulation effect on the tissue regeneration is still difficult due to the non-linear responses of osteoblasts to the stimulation. In this study, to explain the non-linear relationship between physical stimulus and the osteoblastic response, a mathematical model for an osteoblast was constructed based on the established non-linear models for a nerve cell and a heart muscle cell, which are Hodgkin-Huxley and Luo-Rudy dynamics models, respectively. Since calcium ions (Ca²⁺) play as second messengers in the mechano-transduction pathway of the osteogenic response, Ca²⁺ channels were implemented for the constructed model. Our model was validated by observing intracellular Ca²⁺ dynamics of osteoblasts (MC3T3-E1) after electrical stimulation using intracellular Ca²⁺ indicator (Fluo-4AM).