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The variation of the hydrodynamic parameters of the coronary artery is researched while the elastic property of the blood vessel and the effect of the heart muscle are considered. The coronary artery with geometry branches is reconstructed using the software Mimics based on the clinical detection of CT images of coronary angiography. Spring elements connected the vascular wall are used to simulate the effect of elasticity of the heart muscle. The effects of the material properties on hemodynamic parameter can be obtained by solid-fluid coupled analysis using the finite element method. The results show the blood velocity decreases with the decrease of the elastic modulus of the vascular wall and the blood velocity is highest when taking the vascular wall as rigid body. And the blood velocity increases with the decrease of viscosity of blood.