< Hemodynamics Papers >

  1. Canic , S. and Mirkovic, D. A hyperbolic system of conservation laws arising in modeling endovascular treatment of abdominal aortic aneurysm, Hyperbolic Problems: Theory, Numerics, Applications, Vol. 141(1) (2000) 227-236.

  2. S. Canic. Blood flow through compliant vessels after endovascular repair: wall deformations induced by the discontinuous wall properties. Computing and Visualization in Science. Springer-Verlag. 4(3) (2002) 147-155. (pdf | ps)

  3. S. Canic and A. Mikelic. Effective equations describing the flow of a viscous incompressible fluid through a long elastic tube. Comptes Rendus Mechanique Acad. Sci. Paris, 300 (2002), pp.661 -666. (pdf | ps)

  4. Canic , S. and E. H. Kim. Mathematical Analysis of the Quasilinear Effects in a Hyperbolic Model of Blood Flow through Compliant Axisymmetric Vessels, Mathematical Methods in Applied Sciences, 26 (14) (2003), 1161-1186. (pdf | ps)

  5. Canic , S. and A. Mikelic. Effective equations modeling the flow of a viscous incompressible fluid through a long elastic tube arising in the study of blood flow through small arteries. SIAM Journal on Applied Dynamical Systems 2(3) (2003) 431-463. (pdf | ps | movies)

  6. Canic , S. A. Mikelic, and D. Lamponi, and J. Tambaca. Self-Consistent Effective Equations Modeling Blood Flow in Medium-to-Large Compliant Arteries. SIAM J. Multiscale Analysis and Simulation 3(3) (2005) 559-596. (pdf)

  7. S. Canic, J. Tambaca, A. Mikelic, C.J. Hartley, D. Mirkovic, and D. Rosenstrauch. Blood flow through axially symmetric sections of compliant vessels: new effective closed models, Proceedings of the 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Accepted (2004). (pdf)

  8. S. Canic, A. Mikelic and J. Tambaca. A two-dimensional effective model describing fluid-structure interaction in blood flow: analysis, simulation and experimental validation Comptes Rendus Mechanique Acad. Sci. Paris 333(12) 867-883 (2005). (2005). (pdf) movie (wmv)

  9. S. Canic, K. Ravi-Chandar, Z. Krajcer, D. Mirkovic and S. Lapin. A Comparison Between the Dynamic Responses of Bare-Metal {\sc Wallstent} Endoprosthesis and AneuRx Stent-Graft: A Mathematical Model Analysis. Texas Heart Institute Journal 32(4) 19--23 (2005). (pdf)

  10. S. Canic, Z. Krajcer, and S. Lapin. Design of Optimal Prostheses Using Mathematical Modeling. Endovascular Today (Cover Story). May Issue (2006) 48-50. (pdf)

  11. J. Tambaca, S. Canic, A. Mikelic. Effective Model of the Fluid Flow through Elastic Tube with Variable Radius. Accepted in Grazer Mathematische Berichte 348 (2005), 91-112. (pdf)

  12. S. Canic, C.J. Hartley, D. Rosenstrauch, J. Tambaca, G. guidoboni, A. Mikelic. Blood Flow in Compliant Arteries: An Effective Viscoelastic Reduced Model, Numerics and Experimental Validation. Annals of Biomedical Engineering. 34 (2006), pp.`575 - 592. (pdf)

  13. S. Canic. Fluid-Structure Interaction in Blood Flow (extended abstract). The Legacy of Ladyzhenskaya and Oleinik (edt. Krystyna Kuperberg). Proceedings of the MSRI/AWM Workshop ``The Legacy of Ladizhenskaya and Oleinik.'', Berkeley, CA, (2006) 11-15. (pdf)

  14. A. Mikelic and S. Canic, Homogenization Closure for a Two-Dimensional Effective Model Describing Fluid-Structure Interaction in Blood Flow. Math Everywhere. Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry, Dedicated to the 60th Birthday of Vincenzo Capasso. G. Aletti, M. Burger, A. Micheletti, D. Morale (ed.) , Springer Heidelberg, 2007, p. 193-205.

  15. S. Canic, J. Tambaca, G. Guidoboni, A. Mikelic, C.J. Hartley, D. Rosenstrauch. Modeling viscoelastic behavior of arterial walls and their interaction with pulsatile blood flow. SIAM J Applied Mathematics. SIAM J. Appl. Math., Volume 67 Issue 1 (2006) Pages 164-193. (pdf)

  16. S. Canic. Fluid-Structure Interaction in Blood Flow (extended abstract). The Legacy of Ladyzhenskaya and Oleinik (edt. Krystyna Kuperberg). MSRI Publication Series, pp 11-15 (2007). (pdf)

  17. A Mikelic, G. Giodoboni, S. Canic. Fluid-Structure Interaction in a Pre-Stressed Tube with Thick Elastic Walls I: The Stationary Stokes Problem. Networks and Heterogeneous Media Vol. 2(3) 2007 397-423. (pdf)

  18. S. Canic and D. Rosenstrauch. Use of auricular chondrocytes in lining of artificial surfaces: A mathematical model. IEEE Transactions of Nanobioscience Vol 7(3) 2008, 240-245.

  19. G. Guidoboni, R. Glowinski, N. Cavallini, S. Canic and S. Lapin. Kinematically coupled time-splitting scheme for fluid-structure interaction in blood flow. Applied Math Letters 22 (2009), pp. 684-688. (pdf)

  20. J. Hao, T.W. Pan, S. Canic, R. Glowinski, D. Rosenstrauch. A Fluid-Cell Interaction and Adhesion Algorithm for Tissue-Coating of Cardiovascular Implants. SIAM J Multiscale Modeling and Simulation 7(4) 1669-1694 (2009) (pdf)

  21. T. Li and S. Canic. Critical Thresholds in a Quasilinear Hyperbolic Model of Blood Flow. Networks and Heterogeneous Media 4(3) 527-536 (2009)

  22. G. Guidoboni, R. Glowinski, N. Cavallini, S. Canic. Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow. Journal of Computational Physics Vol. 228, Issue 18 6916-6937 (2009). (pdf)

  23. J. Tambaca, S. Canic and D. Paniagua. A Novel Approach to Modeling Coronary Stents Using a Slender Curved Rod Model: A Comparison Between Fractured Xience-like and Palmaz-like Stents. Applied and Numerical PDEs. (eds. W. Fitzgibbon, Yu. Kuznetsov, P. Neittaanmäki, J. Periaux and O. Pironneau), Springer, 41-58 (2010). (pdf)

  24. J. Tambaca, Ph.D, M. Kosor, M.S. S. Canic, Ph.D. and D. Paniagua, M.D. Mathematical Modeling of Endovascular Stents. SIAM J Appl Math. Volume 70, Issue 6, pp. 1922-1952 (2010). (pdf)

  25. T. Kim, S. Canic and G. Guidoboni, Existence and Uniqueness of a Solution to a Three-Dimensional Axially Symmetric Biot Problem arising in Modeling Blood Flow. Communications on Pure and Applied Analysis 9 (4) 839-865 (2010). (pdf)

  26. J. Tambaca, S. Canic and G. Guidoboni, Extended Abstract at the IEEE Engineering in Medicine and Biology 31st Annual International Conference: "Engineering the Future of Biomedicine"

  27. A. Quaini, S. Canic, G. Guidoboni, R. Glowinski, S. Igo, C. Hartley, W. Zoghbi, S. Little. "Numerical Simulation of an Ultrasound Imaging Model of Mitral Valve Regurgitation". Cardiology (Abstracts) 115:251--293 (2010).

  28. S. Canic, A. Mikelic, G. Guidoboni. "Existence of a Unique Solution to a Nonlinear Moving-Boundary Problem of Mixed type Arising in Modeling Blood Flow". IMA Volume 153: Nonlinear Conservation Laws and Applications edited by Alberto Bressan, Gui-Qiang Chen, Marta Lewicka, and Dehua Wang, pp 235-256 (2011) (pdf)

  29. A. Quaini, S. Canic, D. Paniagua. "Numerical Characterization of Hemodynamics Conditions near Aortic Valve After Implantation of Left Ventricular Assist Device." J Mathematical Biosciences and Engineering. 8(3), 785-806, 2011. (pdf)

  30. A. Quaini, S. Canic, G. Guidoboni, R. Glowinski, S. Igo, C. Hartley, W. Zoghbi, S. Little. "Validation of a Computational Fluid Dynamics Model to Study the Assessment and Severity of Mitral Regurgitation." Cardiovascular Engineering and Technology. Vol. 2 (no. 2), 77-89 (2011) (pdf)

  31. O. Boiarkine, D. Kuzmin, S. Canic. G. Guidoboni, A. Mikelic. "A Positivity Preserving ALE Finite Element Scheme for Convection-Diffusion Equations in Moving Domains." Journal of Computational Physics 230 (2011) 2896-2914. (pdf)

  32. S. Canic, J. Tambaca. "Cardiovascular Stents as PDE Nets: 1D vs. 3D." Accepted IMA J. Appl. Math. (Special Issue) 2011. (pdf)

  33. Annalisa Quaini, Ph.D.; Suncica Canic, PhD; Roland Glowinski, PhD; Stephen Igo; Craig J Hartley, PhD; William Zoghbi, M.D.; Stephen Little, M.D. "Validation of a 3D computational fluid-structure interaction model simulating flow through an elastic aperture". Journal of Biomechanics. Vol. 45, Issue 2, Pages 310-318 (2012)

  34. J. Tambaca (PhD), S. Canici (PhD), M. Kosor (MS), R.D. Fish (MD), D. Paniagua (MD). "Mechanical Behavior of Fully Expanded Commercially Available Endovascular Coronary Stents". Texas Heart Institute Journal (Laboratory Investigation) 38(5) 495-501 (2011). (pdf)

  35. Martina Bukac, S. Canic, R. Glowinski, J. Tambaca, A. Quaini. "Fluid-structure interaction in blood flow capturing non-zero longitudinal structure displacement". Submitted December 2011.

  36. S. Canic and M. Bukac "Capturing Both Radial and Longitudinal Displacement of Viscoelastic Arteries interacting with Blood Flow". Submitted January 2012.