不均一性を考慮した血管の一次元格子モデルによる脈波の周期的挙動の数理的解析(流体工学,流体機械)

概要

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A theoretical analysis for pulsatile behaviors of 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 soliton theory is applied in order to analyze the nonlinear system which describes the pulsatile behaviors of a blood vessel with an inhomogeneous part. As a result, the behaviors of the pulse wave which propagates periodically 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 recurrence and the homeostatic behavior of the pulse wave are discussed theoretically.
社団法人日本機械学会の論文
2009-11-25