< 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. 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. Accepted (2009).
  20. 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)
  21. 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)
  22. T. Li and S. Canic. Critical Thresholds in a Quasilinear Hyperbolic Model of Blood Flow. Networks and Heterogeneous Media 4(3) 527-536 (2009)
  23. 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).
  24. 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: Scientific Computing in Simulation, Optimization and Control and its Multiphysics Applications (eds. W. Fitzgibbon, Yu. Kuznetsov, P. Neittaanmäki, J. Periaux and O. Pironneau), Springer. In press.
  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. Submitted (2009).