Propagation of nonlinear pressure wave in artery vessels
- VernacularTitle:动脉血管中非线性压力波的传播
- Author:
Shanyuan ZHANG
;
Tao ZHANG
;
Fang YANG
- Publication Type:Journal Article
- Keywords:
Artery;
Vessels;
Nonlinear;
Reductive perturbation method;
Solitary wave solutions
- From:
Journal of Medical Biomechanics
2010;25(1):63-67,73
- CountryChina
- Language:Chinese
-
Abstract:
Objective The mechanical model of nonlinear blood flow in large blood vessels is developed and the propagation of nonlinear pressure wave is studied.Methods Taking the effect of large deformation,nonlinear equation of motion was established in the current configuration in terms of the constitutive equations proposed by Demiray for soft biological tissues.Resuit Employing the reductive perturbation method the KdV equation is derived from the nonlinear partial equations governing the motion of coupled system.Conclusions It is shown from this study that the system may have an accurate periodic wave solution or solitary wave solution under certain conditions.
