Elasticity analysis of Mass-spring model-based virtual reality vascular simulator

In vascular interventional surgery virtual reality simulation facilitates the surgeon in catheter-based operating system for it provides visual information for surgeons. In the most VR simulations vascular is regarded as a rigid object. However, so as to display the deformation of vascular, it is necessary to study the physical model of vascular. Generally speaking, mass spring method (MSM) is an appropriate physical model to characterize the vascular deformation but the spring coefficient identification is a tough issue. The motivation of this paper is to determine the spring coefficient according to the vascular mechanical properties and derive the stiffness matrix of MSM. Instead of setting spring coefficient manually, we analyze the elasticity distribution on the vascular wall and identify this parameter by the analytical results. In this way, the spring coefficient varies with circumferential force along the vascular. After the stiffness matrix of MSM is derived, the vascular deformation is relevant to the vascular radius. The analytical results suggest that the vascular with large radius deforms less dramatically than that of small radius.