Title :
Dynamics of the arterial wall under blood pressure
Author :
Shen-Xin Xu ; Jiu-sheng Ren
Author_Institution :
Shanghai Inst. of Appl. Math. & Mech., Shanghai Univ., Shanghai, China
Abstract :
A dynamical differential model for the arterial wall under blood pressure is established based on a fiber-reinforced three-layered composite hyper-elastic tube model within the finite deformation theory. Effects of the distribution angle and the strength of the fibers are discussed. Time-history curves, frequency spectrums, phase diagrams, Poincare maps are obtained through numerical computation. Dynamical response of the arterial wall is discussed following the nonlinear dynamical theories.
Keywords :
Poincare mapping; blood vessels; elasticity; haemodynamics; phase diagrams; Poincare maps; blood pressure; dynamical differential model; fiber distribution angle; fiber reinforced three layered composite hyper elastic tube model; fiber strength; finite deformation theory; frequency spectrum; phase diagram; time-history curves; Arteries; Biomechanics; Blood pressure; Electron tubes; Mathematical model; Oscillators; Strain;
Conference_Titel :
Control and Automation (ICCA), 2013 10th IEEE International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4673-4707-5
DOI :
10.1109/ICCA.2013.6565126