PUBLICATIONS RELATED TO THE NIGMS PROJECT 2013-2016

Publications in 2005.

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)

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

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)

J. Tambaca, S. Canic, A. Mikelic. Effective Model of the Fluid Flow through Elastic Tube with Variable Radius. Grazer Math. Ber., ISSN 1016Â7692 Bericht Nr. 3xx (2005), 1-22. (pdf)

Hartley, C.J., "Ultrasonic blood flow and velocimetry" Chapter 8 in: McDonald's Blood Flow in Arteries, Theoretical, Experimental and Clinical Principles, Fifth Edition; W.W. Nichols and M.F. O'Rourke; Arnold, London; Oxford, New York; 2005.

Hartley, C.J., A.K Reddy, S. Madala, M.L Entman, L.H Michael, G.E Taffet, "Characterization of Arterial Wave Propagation and Reflection in Mice." (ABSTR) Proc. 27th Ann. Conf. EMBS: 333, Shanghai, Sept. 1-4, 2005.

Reddy, A.K., A.D. Jones, C. Martono, W. Caro, S. Madala, C.J. Hartley, "Pulsed doppler signal processing for use in mice: Part I ? design and evaluation." IEEE Trans on Biomed Engr 52: 1764-1770, 2005.

Reddy, A.K., G.E. Taffet, Y?H Li, S-W Lim, T.T. Pham, J. Pocius, M.L. Entman, L.H. Michael, C.J. Hartley, "Pulsed doppler signal processing for use in mice: Part II ? applications." IEEE Trans on Biomed Engr 52: 1771-1783, 2005.

Carlier, S.G., I.A. Kakadiaris, S. O'Malley, M. Vavuranakis, C.J. Hartley, R. Metcalfe, M. Naghavi, "Coronary Vasa Vasorum Imaging with Intravascular Ultrasound and Microbubbles." (ABSTR) BMES Annual Fall Meeting, Baltimore, Oct. 2005.

Publications in 2006.

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)

R. Glowinski, T.-W. Pan, J. Periaux, Numerical simulation of a multi-store separation phenomenon: A fictitious domain approach, Comp. Meth. Appl. Mech. Eng., 195 (2006) 5566-5581.

Canic, S., Tambaca, J, Guidoboni, G, Mikelic, A, Hartley C, Rosenstrauch D. Modeling viscoelastic behavior of arterial walls and their interaction with pulsatile blood flow. SIAM J. Appl. Math. Vol. 67 (2006).

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

T.-W. Pan and R. Glowinski Numerical Simulation of Pattern Formation in a Rotating Suspension of non-Brownian Settling Particles, in Free and Moving Boundaries: Analysis, Simulation and Control, R. Glowinski and J.-P. Zolesio eds., Lecture Notes in Pure and Applied Mathematics, Vol. 252, Taylor & Francis/CRC Press, Boca Raton, FL, 2006

Quick, C.M., D.S. Berger, R.H. Stewart, G.A. Laine, C.J. Hartley, A. Noordergraaf, "Resolving the hemodynamic inverse problem." IEEE Trans on Biomed Engr 53: 361-368, 2006.

Pirat, B., S.R. Igo, S.H. Little, M.L. McCulloch, C.J. Hartley, Y. Nosé, W.A. Zoghbi, "Measurement of Proximal Isovelocity Surface Area by Real?Time 3D Color Doppler is More Accurate than by 2D Color Doppler for Quantitation of Aortic Regurgitant Volume: An In Vitro Validation" (ABSTR) Am Soc Echocardiography ASE-2006, Baltimore June 3-7, 2006.

Hartley, C.J., A.K. Reddy, L.H. Michael, M.L. Entman, S. Madala, G.E. Taffet, "Noninvasive measurement of coronary flow reserve in mice by Doppler ultrasound." ABSTR EMBC-2006, New York, Aug. 30 - Sept. 3, 2006. .

Rosenstrauch, D., S. Canic, T-W Pan, R. Glowinski, G. Guidoboni, J. Gill, K. Moncivais, T. Josef, C.J. Hartley, "Genetically engineered cells could improve the biocompatibility of implantable cardiovascular devices." ABSTR 2006 Combined Winter ISMICS/ASCTS Conference, Cairns, Australia, Oct. 24-28, 2006..

A. Mikelic and S. Canic, Homogenization Closure for a Two-Dimensional Effective Model Describing Fluid-Structure Interaction in Blood Flow. Math Everywhere. To appear (2006).

R. Glowinski, G. Guidoboni, T-W Pan, "Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity", Journal of Computational Physics. To appear (2006).

R. Glowinski, E. Dean, L.H. Juarez V. and T.-W. Pan Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monge-Ampere equation, Japan J. Indust. Appl. Math. To appear.

G. Guidoboni, M. Padula, "Uniqueness of weak solutions for a 2-d fluid-structure interaction problem". Oberwolfach report n. 49. To appear.

T.-W. Pan, R. Glowinski, Suchung Hou, Direct Numerical Simulation of Pattern Formation in a Rotating Suspension of non-Brownian Settling Particles in a Fully Filled Cylinder, Computers & Structures (accepted).

R. Glowinski, G. Guidoboni, "Hopf bifurcation in viscous incompressible flow down an inclined plane: a numerical approach.". Accepted for publication on Journal of Mathematical Fluid Mechanics.

E.J. Dean, R. Glowinski, G. Guidoboni, "On the numerical simulation of Bingham visco-plastic flow: old and new results". Accepted for publication in Journal of Non Newtonian Fluid Mechanics.

Hartley, C.J., A.K. Reddy, S. Madala, L.H. Michael, M.L. Entman, G.E. Taffet, "Effects of Isoflurane on coronary flow velocity reserve in young, old, and ApoE-/- mice measured by Doppler ultrasound." In Press: Ultrasound in Med & Biol, Oct. 2006.

Publications in 2007.

T.-W. Pan, R. Glowinski, Suchung Hou, "Direct Numerical Simulation of Pattern Formation in a Rotating Suspension of non-Brownian Settling Particles", Computers & Structures, vol. 85, (2007)

E.J. Dean, R. Glowinski, G. Guidoboni, "On the numerical simulation of Bingham visco-plastic flow: old and new results", J of Non-Newtonian Fluid Mechanics, vol. 142, (2007), p. 36

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 Meodelling in Biomedicine, Economics and Industry., vol. , (2007), p. 193-205.

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

A. Mikelic, G. Guidoboni, 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), p.397-423.

T.-W. Pan, J. Hao,, "Numerical Simulation of a Lid-Driven Cavity Viscoelastic Flow At High Weissenberg Numbers", C. R. Aca d. Sci. Paris, Serie I, vol. 344, (2007), p. 283-

J. Hao, T.-W. Pan,, "Simulation for High Weissenberg Number Viscoelastic Flow by a Finite Element Method,", Applied Math Letters, vol. 20, (2007),

T.-W. Pan, J. Hao, R. Glowinski,, "On the Simulation of a Time-Dependent Cavity Flow for an Oldroyd-B Fluid at High Weissenberg Number", J Numerical Methods in Fluids Non-Newtonian Fluid Mech., vol. , (2007), p.

T.-W. Pan, C.-C. Chang, R. Glowinski,, "On the Motion of a Neutrally Buoyant Ellipsoid in a Three-dimensional Poiseuille Flow,", Comp. Meth. Appl. Mech. Eng., vol. , (2007), p.

Hartley, C.J., A.K. Reddy, S. Madala, L.H. Michael, M.L. Entman, G.E. Taffet,, "Effects of Isoflurane on coronary flow velocity reserve in young, old, and ApoE-/- mice measured by Doppler ultrasound", Ultrasound in Med & Biol, April 2007.,

Little, S.H., S.R. Igo, B. Pirat, M. McCulloch, C.J. Hartley, Y. Nos¿, W.A. Zoghbi,, ""Real¿Time Three¿Dimensional Color Doppler Echocardiography for Direct Measurement of Proximal Isovelocity Surface Area in Mitral Regurgitation: An In Vitro Validation."", JACC, July, 2007.,

Publications in 2008.

R. Glowinski, E. Dean, G. Guidoboni, L.H. Juarez V., T.-W. Pan, "Operator-splitting methods for the numerical simulation of particulate and free-surface flows and for the numerical solution of elliptic Monge-Ampere equation", Japan J. Indust. Appl. Math., 25 (2008), 1-63.

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

T. Wang, T.-W. Pan, R. Glowinski A comparison of L2-projection and H1-projection methods for the numerical simulation of incompressible viscous fluid flow: A case study Chinese Journal of Engineering Mathematics 25 (2008), 761-778.

J. Tambaca, M. Kosor, S. Canic, D. Paniagua, "Mathematical Modeling of Endovascular Stents", SIAM J Aplied Mathematics, vol. , (2008), p. ., " " Submitted

T.-W. Pan, C.-C. Chang, R. Glowinski On the motion of a neutrally buoyant ellipsoid in a three-dimensional Poiseuille flow Computer Methods in Applied Mechanics and Engineering 197 (2008), 2198-2209.

Publications in 2009.

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

T.-W. Pan, T.Wang Dynamical simulation of red blood cell rheology in microvessels International Journal of Numerical Analysis and Modeling 6 (2009), 455-473.

J. Hao, T.-W. Pan, R. Glowinski, D.D. Joseph, "A fictitious domain/distributed Lagrange multiplier method for the particulate flow of Oldroyd-B fluids: A positive definiteness preserving approach", J. Non-Newtonian Fluid Mech., vol 156 (2009), 95-111.

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 Journal on Multiscale Modeling and Simulation (accepted)

G.Guidoboni, R. Glowinski, N. Cavallini, S. Canic, Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow. Submitted.

R. Glowinski, G. Guidoboni, On the preconditioned conjugate gradient solution of a Stokes problem with Robin-type boundary conditions. Submitted to Comptes Rendus Mathematique.

AWARDS RELATED TO THE NIGMS PROJECT

2008: Research funded by this grant was presented at the AMS exhibit at Coalition for National Science Funding, Capitol Hill, June 21, 2008 (Canic)
Canic awarded 2005 Best Women in Technology (Houston Chapter) Award for the work in the area of blood flow modeling and simulation related to the NIGMS award.
Canic received the US Congressional Recognition acknowledging the 2005 Best Women in Technology award.
Canic awarded Cullen Distinguished Professorship at the University of Houston
Glowinski received SIAM 2004 Von Karman Prize largely due to his work on incompressible viscous flow, particularly on particulate flow whose results have been used in the NIGMS grant research.
Glowinski was elected as Member of the French National Academy of Sciences in 2005.
2004: Glowinski and Canic were invited by the French National Academy of Sciences to presented a lecture at the Workshop on Fluid-Structure Interaction organized by the French National Academy of Sciences, related to the research supported by this grant.