不均一部を有する血管における脈波の数理的解析(流体工学,流体機械)

概要

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A theoretical analysis for pulse wave in a blood vessel with an inhomogeneous part has been conducted by using a one-dimensional lattice model associated with the material nonlinearity of the arterial vessel wall. In the present study, from the viewpoint of mechanics, a certain part of blood vessel, which has the different configuration and mechanical properties of the arterial vessel wall, is regarded as the inhomogeneous part by a generalization. The pulse wave is modeled by the solitary wave. The integrability of the solitary wave is applied in order to analyze the behaviors of the pulse wave. As a result, the behaviors of the pulse wave which propagates through the inhomogeneous part in the blood vessel are shown analytically. The factor which has the effects on the propagation of the pulse wave is revealed clearly. Moreover, the relations between the behaviors of the pulse wave and the properties of the inhomogeneous part are clarified theoretically.
社団法人日本機械学会の論文
2009-06-25