大动脉血管壁应力孤立波

Stress solitary waves of vessel wall in large arteries

在人体正常生理条件下,血管内的扰动将以应力波的形式传播.讨论了大动脉血管壁应力波的传播问题,得到了描述血管壁运动的非线性方程,分析了其线性近似下的色散关系.该非线性方程在低阶近似下演化为KdV方程,这说明在大动脉血管中存在孤立波,最后给出了该孤立波解并讨论了其实际意义.

Under the condition of the normal physiology of human body, the disturbances in large arteries propagate with the form of stress waves. So, the propagation of vessel wall stress waves in arteries is investigated in this paper, and a set of nonlinear equations governing the vessel wall motion is obtained. Basing the set of nonlinear equations, the dispersion relation of the vessel wall stress waves is deduced. Under low order approximation, we found that this set of nonlinear equations may be reduced to a KdV equation, which elucidate the existence of solitary waves in large arterial vessel. Finally, the stress solitons solution is presented, and the feature of this solution is discussed.