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Timing performance of our method.

Timing performance of our method.

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Virtual reality-based simulators are very helpful for trainees to acquire the skills of manipulating catheters and guidewires during the vascular interventional surgeries. In the development of such a simulator, however, it is a great challenge to realistically model and simulate deformable catheters and guidewires in an interactive manner. We prop...

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... this experiment, we tested the time performance of our method for the virtual catheters with different number of nodes when they advanced in a virtual tubular blood vessel. We show the results in Table 1. As shown in the table, it takes about 36 milliseconds to complete a calculation of our algorithm for a catheter with 200 nodes. ...

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... The validation methods presented in those studies are similar to the ones proposed in our work. Some studies have (visually) compared their results to in-vitro experiments of guiding catheters/guidewires in transfemoral and intracranial vessels (13)(17)(18) (16). Other studies have qualitatively and quantitatively compared their simulated and real wire positions by characterizing the local distances (14)(19) (20) and quantifying the curvature angles (25) of both the simulated and patient-specific guidewires through the abdominal aorta. ...
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... [29] FEA has been used widely in an attempt to simulate catheters and devices in the vascular system mainly for creation of physician training tools. [30][31][32] FEM has been described widely as a technique in relation to metal-based components in medical device literature. [ Zhang applied FEM to examining the relationship between braid angle and flexural kink resistance of braided composite interventional catheters. ...
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... Dequidt et al. [13] and Wei et al. [14] then used this method to simulate embolization coils. Li et al. [15,16] proposed their FEM-based approach based on the principle of minimal total potential energy. Despite the numerical stability, the aforementioned FEM-based methods either had difficulties in simulating non-linear deformations or needed extra optimizations to achieve real-time performance. ...
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... Finite-element method (FEM) is a common numerical technique to model a deformable object, [47][48][49][50] including the behavior of the guidewire and catheter inside the body. 5,15,16,[20][21][22][24][25][26][27][28]31,32,34,37,39,41,[51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69] In this method, the instrument is first divided into a set of basic elements connected by nodes. A function that solves the equilibrium equations is found for each element. ...
... 5, 15, 22, 24-28, 37, 54-66, and 69, the instrument is considered as a rod-like structure, a long and thin circular structure with the length being much larger than the diameter. For rod modeling, there are different choices such as Euler-Bernoulli beam theory (deformation due to bending), Kirchhoff rod, 15,22,24,26,55 which is the geometrically nonlinear generalization of the Euler-Bernoulli beam theory, 70 Timoshenko beam theory (deformation due to bending and shear), and Cosserat rod, 25,27,28,58,61,[64][65][66]69 which is the geometrically nonlinear generalization of the Timoshenko beam theory. 70 In Refs. ...
... 70 In Refs. 15,22,37,41, and 61, the position of the instrument is expressed based on the principles of energy minimization. Thus, the energy function is expressed as (1) ...
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... Alderliesten et al. [29,30] simulated rods, including friction, as a set of straight, non-bendable, incompressible beams with perfect torque control using a quasi-static approach. Later, Li et al. [31] improved this approach by using a FEM-based numerical solver. More recently, Duratti et al. [32] applied a solution closely resembling the CoRde model [17] to real-time interventional radiology simulation and [33,34] adapted the approach in [18] to simulate catheters and guidewires. ...
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... Clearly, the realism of the simulation environment is crucial as it determines the confidence one can attach to conducted analyses. Methods based on mass-spring models, 29, 30 finite elements 31 or discrete versions of the Elastic Kirchhoff Rod theory 32,33 have been proposed to simulate guidewire or catheter behaviour. CASCADE progresses the work by Konings et al. who predict the behaviour of a guidewire by minimizing the joint energy of guidewire and surrounding vessel. ...
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