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Guided Endodontics: Three-Dimensional Planning and Template-Aided Preparation of Endodontic Access Cavities
Published on: May 24, 2022
What Determines the Three-Dimensional Trajectory of Chronic Total Occlusion (CTO) Guidewires? An Engineering Study of
Shimpei Watanabe1, Osamu Katoh2, Kenya Nasu3
1Asahi Intecc Co., Ltd., Aichi, Japan. shinpei.watanabe@asahi-intecc.com.
Purpose:
This study was performed to establish the equivalence between the differential-geometry osculating plane of the chronic total occlusion (CTO)-guidewire (GW-Although GW is typically used as an abbreviation for guidewire, in this paper it is used specifically as the abbreviation for CTO-guidewire) trajectory and the GW osculating plane-defined as the plane spanned by the direction vectors of the GW tip-shaft and the GW tip-and to clarify the operating principles of GW manipulation by demonstrating that the GW osculating plane prescribes the three-dimensional GW trajectory.
Methods:
A GW was manually advanced into a CTO model through controlled rotation and pushing. At an arbitrary point A, the GW tip and tip-shaft were imaged using a cardiovascular X-ray system. Using vectors derived from two angiographic images taken at different view angles, the normalized direction vectors of the GW tip and tip-shaft were obtained to calculate the normalized normal vector of the GW osculating plane. The approximation function of the three-dimensional GW trajectory near point A was derived from X-ray images, and the tangent and principal normal vectors at A were calculated to determine the normalized normal vector of the differential-geometry osculating plane. Thirty experiments were conducted to statistically evaluate the equivalence of the normal vectors of both osculating planes.
Results:
In all 30 experiments, the normals of the GW osculating plane and the differential-geometry osculating plane were statistically equivalent.
Conclusion:
These findings provide strong evidence that the GW osculating plane coincides with the differential-geometry osculating plane under the tested conditions, supporting their interchangeability for predicting the three-dimensional GW trajectory.
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