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Article

The Cardiocoil Stent-Artery Interaction

[+] Author and Article Information
Moshe Brand, Leonid Slepyan

 Department of Solid Mechanics, Materials and Systems, Faculty of Engineering, Tel Aviv University, Ramat Aviv 69978, Israel

Michael Ryvkin1

 Department of Solid Mechanics, Materials and Systems, Faculty of Engineering, Tel Aviv University, Ramat Aviv 69978, Israelarikr@eng.tau.ac.il

Shmuel Einav

 Department of Biomedical Engineering, Faculty of Engineering, Tel Aviv University, Ramat Aviv 69978, Israel

1

To whom correspondence should be addressed.

J Biomech Eng 127(2), 337-344 (Sep 21, 2004) (8 pages) doi:10.1115/1.1871194 History: Received January 27, 2004; Revised September 10, 2004; Accepted September 21, 2004

An analytical approach for the mechanical interaction of the self-expanding Cardiocoil stent with the stenosed artery is presented. The damage factor as the contact stress at the stent-artery interface is determined. The stent is considered as an elastic helical rod having a nonlinear pressure-displacement dependence, while the artery is modeled by an elastic cylindrical shell. An influence of a moderate relative thickness of the shell is estimated. The equations for both the stent and the artery are presented in the stent-associated helical coordinates. The computational efficiency of the model enabled to carry out a parametric study of the damage factor. Comparative examinations are conducted for the stents made of the helical rods with circular and rectangular cross sections. It was found, in particular, that, under same other conditions, the damage factor for the stent with a circular cross section may be two times larger than that for a rectangular one.

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Copyright © 2005 by American Society of Mechanical Engineers
Topics: stents , Pressure
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Figures

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Figure 1

Artery segment and cylindrical coordinate system

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Figure 2

Cylindrical shell with helical coordinate system (a); the shell deployed to a strip (b)

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Figure 3

Curvilinear helical wire subjected to radial loading qn

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Figure 4

Frenet orthogonal coordinates used for the stent description

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Figure 5

The influence of the external radial line pressure qn on the normalized outer stent diameter d0

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Figure 6

The external radial pressure on the stent pr vs relative radial contraction εr for the 3 mm stent with the rectangular cross section 0.09×0.12mm

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Figure 7

Dependence of the damage factor D upon the radial stent-artery mismatch Δd for the case of a circular wire. The arterial diameter is fixed and the stent diameter is varied for each curve. The dashed line corresponds to the healthy 4.75 mm artery.

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Figure 8

Dependence of the damage factor upon the wire’s diameter for the 3 mm diameter and 5 mm diameter stents, the radial mismatch with the artery is 0.25 mm

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Figure 9

Dependence of the damage factor upon the helix angle α (in the undeformed position) for the 3 mm (dashed lines) and 5 mm (solid lines) stents. The radial mismatch with the artery is 0.25 mm for all the cases.

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