Abstract
Contact behaviors of medical devices, such as guidewires and catheters, are critical in endovascular surgeries. In this work, a new method to predict adhesive contact force between catheter and vascular artery is presented. Multi-asperity adhesion on the surface of vascular artery, deformation of asperity and deformation of vascular substrate are all considered. The single asperity behavior is described with Johnson-Kendall-Roberts (JKR) contact model. The multi-asperity behavior is based on Greenwood–Williamson (GW) asperity model. Vascular substrate is considered as elastic bulk substrate and its deformation is determined with Hertzian pressure from asperity on a circular region on the elastic half space. The model shows that the deformation of vascular substrate accounts for the majority of the total contact deformation and significantly affects the predicted contact force. The model is verified with published experimental data. The comparison shows that the model produces very accurate prediction of contact force between catheter and vascular artery when the contact force is compressive. Parametric analysis based on asperity topography is carried out. The analysis shows that the diameter of the circular region of the interface between asperity and vascular substrate has more significant effect on the estimation of contact force than the radius of asperity. Further validation of prediction accuracy of the model under experiment is needed.
Similar content being viewed by others
References
V. Acito, M. Ciavarella, A.M. Prevost, A. Chateauminois, Adhesive contact of model randomly rough rubber surfaces. Tribol. Lett. 67(2), (2019). https://doi.org/10.1007/s11249-019-1164-9
X. Bao, S. Guo, N. Xiao, Y. Li, C. Yang, Y. Jiang, A cooperation of catheters and guidewires-based novel remote-controlled vascular interventional robot. Biomed. Microdevices 20(1), (2018a). https://doi.org/10.1007/s10544-018-0261-0
X. Bao, S. Guo, N. Xiao, Y. Li, C. Yang, R. Shen, J. Cui, Y. Jiang, X. Liu, K. Liu, Operation evaluation in-human of a novel remote-controlled vascular interventional robot. Biomed. Microdevices 20(2), (2018b). https://doi.org/10.1007/s10544-018-0277-5
M. Ciavarella, An approximate JKR solution for a general contact, including rough contacts. J. Mech. Phys. Solids 114, 209–218 (2018). https://doi.org/10.1016/j.jmps.2018.03.005
M. Ciavarella, A. Papangelo, A random process asperity model for adhesion between rough surfaces. J. Adhes. Sci. Technol. 31(22), 2445–2467 (2017). https://doi.org/10.1080/01694243.2017.1304856
M. Ciavarella, A. Papangelo, On the sensitivity of adhesion between rough surfaces to asperity height distribution. Phys. Mesomech. 21(1), 59–66 (2018). https://doi.org/10.1134/S1029959918010083
K.N.G. Fuller, D. Tabor, The effect of surface roughness on the adhesion of elastic solids. Proc. R. Soc. Lond. Math. Phys. Sci. 345(1642), 327–342 (1975)
J.A. Greenwood, J.H. Tripp, The elastic contact of rough spheres. J. Appl. Mech. Trans. ASME 34(1), 153–159 (1964). https://doi.org/10.1115/1.3607616
J. Hailing, Encyclopedia of tribology. in Wear, vol. 150, Issues 1–2 (1991). https://doi.org/10.1016/0043-1648(91)90333-p
S. Ikeda, F. Arai, T. Fukuda, M. Negoro, K. Irie, I. Takahashi, Patient-specific neurovascular simulator for evaluating the performance of medical robots and instrumens. Proc. IEEE Int. Conf. Robot. Autom. 2006(May), 625–630 (2006). https://doi.org/10.1109/ROBOT.2006.1641780
K.L. Johnson, Contact mechanics. Proc. Inst. Mech. Eng. 223(J3), 254 (2009)
K.L. Johnson, K. Kendall, A.D. Roberts, Surface energy and the contact of elastic solids. Proc. R. Soc. Lond. Math. Phys. Sci. 324(1558), 301–313 (1971)
R. Matjie, S. Zhang, Q. Zhao, N. Mabuza, J.R. Bunt, Tailored surface energy of stainless steel plate coupons to reduce the adhesion of aluminium silicate deposit. Fuel 181, 573–578 (2016). https://doi.org/10.1016/j.fuel.2016.04.105
C. Noble, Experimental and numerical techniques for characterising catheter-induced blood vessel damage: towards tools for improvement of intravascular catheter design (Doctoral dissertation, University of Sheffield) (2016)
P. Prokopovich, S. Perni, Prediction of the frictional behavior of mammalian tissues against biomaterials. Acta Biomater. 6(10), 4052–4059 (2010a). https://doi.org/10.1016/j.actbio.2010.05.007
P. Prokopovich, S. Perni, Multiasperity contact adhesion model for universal asperity height and radius of curvature distributions. Langmuir 26(22), 17028–17036 (2010b). https://doi.org/10.1021/la102208y
P. Prokopovich, S. Perni, Contact interactions of aorta against PVC catheters. Tribol. Int. 66, 157–164 (2013). https://doi.org/10.1016/j.triboint.2013.03.009
K. Takashima, R. Shimomura, T. Kitou, H. Terada, K. Yoshinaka, K. Ikeuchi, Contact and friction between catheter and blood vessel. Tribol. Int. 40(2 SPEC. ISS.), 319–328 (2007). https://doi.org/10.1016/j.triboint.2005.10.010
G. Violano, L. Afferrante, Modeling the adhesive contact of rough soft media with an advanced asperity model. Tribol. Lett. 67(4), 1–7 (2019). https://doi.org/10.1007/s11249-019-1232-1
G. Violano, L. Afferrante, Roughness-induced adhesive hysteresis in self-affine fractal surfaces. Lubricants 9(1), 1–12 (2021). https://doi.org/10.3390/lubricants9010007
D. Weiss, A. Gefen, S. Einav, Modelling catheter–vein biomechanical interactions during an intravenous procedure. Comput. Methods Biomech. Biomed. Engin. 19(3), 330–339 (2016). https://doi.org/10.1080/10255842.2015.1024667
S. Yashima, V. Romero, E. Wandersman, C. Frétigny, M.K. Chaudhury, A. Chateauminois, A.M. Prevost, Normal contact and friction of rubber with model randomly rough surfaces. Soft Matter 11(5), 871–881 (2015)
C.D. Yeo, R.R. Katta, A.A. Polycarpou, Improved elastic contact model accounting for asperity and bulk substrate deformation. Tribol. Lett. 35(3), 191–203 (2009). https://doi.org/10.1007/s11249-009-9448-0
Acknowledgements
We wish to show our appreciation for the sponsor from China Scholarship Council (CSC) on this research.
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
Conflict of interest
The author declares no potential conflict of interest.
Additional information
Publisher's note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Xu, Y., Mangla, S., Gschneidner, P. et al. A multi-asperity adhesive contact model for catheter and vascular artery contact in endovascular surgery. Biomed Microdevices 25, 7 (2023). https://doi.org/10.1007/s10544-023-00646-2
Accepted:
Published:
DOI: https://doi.org/10.1007/s10544-023-00646-2