Title: Vascular elasticity determined mass-spring model for virtual reality simulators

Authors: Yu Wang; Shuxiang Guo; Baofeng Gao

Addresses: Graduate School of Engineering, Kagawa University, Hayashi-cho, Takamatsu, 761-0396, Japan ' Department of Intelligent Mechanical Systems Engineering, Kagawa University, Hayashi-cho, Takamatsu, 761-0396, Japan; School of Life Science, Beijing Institute of Technology, Haidian District, Beijing, China ' School of Life Science, Beijing Instititue of Technology, Haidian District, Beijing, China

Abstract: In vascular interventional surgery, the virtual reality simulation is indispensable for catheter-based operation system because it provide the surgeon of visual scene between catheter and vascular. However, most VR systems only present the vascular geometry model which indicates vascular is a rigid object. So as to display the deformation of vascular, it is necessary to consider the vascular physical model. Several previous work uses mass-spring method (MSM) to characterise the vascular but few mentions how to determine the spring coefficient which is critical to vascular shape change. Thus, the objective of this paper is to use vascular mechanical properties identified spring coefficient to simulate vascular deformation. Instead of setting it manually, we analyse the elasticity distribution on the vascular wall and identify spring coefficient 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.

Keywords: elasticity analysis; mass-spring models; vascular simulation; vascular elasticity; virtual reality; minimally invasive surgery; catheter based operations; vascular deformation; modelling; blood vessels; spring coefficient; circumferential force; vascular radius.

DOI: 10.1504/IJMA.2015.068446

International Journal of Mechatronics and Automation, 2015 Vol.5 No.1, pp.1 - 10

Received: 06 Oct 2014
Accepted: 17 Oct 2014

Published online: 03 Apr 2015 *

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