mathematical modeling of human masticatory movements

首先建立了人体咀嚼垂直下颌运动的数学模型。为了做到这一点。我们使用Jull-Cost函数作为目标代价函数，并假设咀嚼过程中的下颌运动受到控制，以使咬合的平稳性达到最大。仿真结果表明，该模型能很好地预测峰值速度和急升代价。此外，该模型还可以预测随时间变化的3D运动路径总长度。基于这些发现，建议对人类的咀嚼运动进行最优控制，以尽可能地平滑。此外，在目前的研究过程中还发现，以张口端运动加速度表示的边界条件与周围软组织的粘弹性相关，并且在咀嚼时，闭合运动比张开运动更平稳。相比之下，在咀嚼果冻时，运动加速度变化很快，在这种情况下，硬食物颗粒必须被打破。其结果是，这一成本大大增加。

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.