mathematical modeling of human masticatory movements

首次建立了人类咀嚼垂直运动的数学模型。为了做到这一点。我们使用急动成本函数作为目标成本函数，并假设在咀嚼期间下颌运动被控制以使平滑度最大化。仿真结果表明，该模型能较好地预测峰值速度和急动成本。此外，该模型可以预测随时间变化的三维总运动路径长度。基于这些发现，这表明，人类咀嚼运动的最佳控制是尽可能顺利。此外，在目前的研究过程中，它被发现的边界条件，在运动加速度在下颌打开结束时与周围软组织的粘弹性相关，在咀嚼口香糖，下颌关闭运动比打开运动更平滑。相反，在硬食物颗粒必须破碎的咀嚼期间，运动加速度迅速改变。因此，颠簸成本大大增加。

First mathematical model of human masticatory vertical jaw movement has been developed. In order to do this. we used jerk-cost function as an objective cost-function and assumed that the mandibular movement during chewing is controlled so as to maximize the smoothness. The results of simulation showed that both peak velocity and jerk-cost were well predicted by the model. In addition, the model could predict time-varying 3D total movement pathway length. Based on these findings, it is suggested that human masticatory movement is optimally controlled to be as smooth as possible. Also, in the process of current study, it is founded that the boundary condition in terms of movement acceleration at the end of jaw opening correlated with visco-elasticity of surrounding soft tissues, and in gumchewing, jaw closing movement is smoother than opening movement. By contrast, the movement acceleration is rapidly changed during jelly-chewing in which the hard food particle must be broken. As a result, the jerk-cost considerably increased.