The course and the success of an endovascular intervention can be influenced by the choice of the guidewire and primary by its ability to access to the lesion. The simulation of catheterism in complex vasculature is of main interest to aid the surgery planning. The overall objective of the simulation is to improve the choice of guidewire (with the simulation of its intrinsic features: torque, shape, rigidity, elasticity) as well as its navigation within patient specific vasculature. We propose a new approach for the simulation of guidewire navigation. It is based on: (i) the modeling of guidewire using "multi-body" approach and the representation of its internal characteristics, (ii) the modeling of artery as a surface mesh, (iii) the simulation of the interactions of the guidewire with its environment (artery and clinician). In this study, strength and elasticity of the guidewire are modeled. Only the "push" action performed by the clinician is considered. The global behavior of the guidewire is simulated by means of retraction and relaxation processes. To interact with the artery walls, methods based on the graphics hardware have been developed (i) to detect the collisions between the guidewire and the artery walls (ii) to find the direction of the retraction process which define the local reaction of the guidewire. All these methods have been tested in a qualitative validation on a patient vasculature.