Pulse wave reflections in asymmetrically branching

Abstract

Wave propagation and reflection in the model of asymmetrically branching tree of elastic cylindrical tubes filled with nonviscous fluid is considered when applied to pulse wave reflection in arterial networks. Influence of the geometrical and mechanical properties of the network and vessel wall on the pulse wave propagation and spectral properties of the total admittance of the network are investigated. It was found out that the admittance of the tree has a set of resonant harmonics. Any changes in parameters of microcirculatory bed cause noticeable alterations of the amplitudes of resonant harmonics and negligibly small alterations of other harmonics. The set of resonant harmonics is independent of some variations in the tree geometry. These results substantiate a possibility of the pulse diagnosis of inner organs state by observation the amplitudes of the resonant harmonics only without preliminary knowledge of individual structure of real vascular bed of an inner organ.