ppt - Department of Mathematics

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Collaborative Research: Modeling the Growth and Adhesion of
Auricular Chondrocytes under Controlled Flow Conditions
1
Houston ,
Department of Mathematics, University of
The Texas Heart Institute and the UT Health
2
3
Science Center at Houston , Baylor College of Medicine and Rice University
1
Canic ,
1
Glowinski ,
1
Pan ,
Suncica
Roland
Tsorng-When
Doreen
DMS-0443826 (UH), DMS-0443549(THI), DMS-0443563(Baylor)
2
Rosenstrauch ,
3
Hartley (PIs)
Craig
www.math.uh.edu/~canic/NIGMS.html
RESULTS: Coronary artery disease causes narrowing or
METHODS: To investigate and optimize coating of stents
stenosis of coronary arteries which might lead to heart
attack. Treatment of coronary artery disease involves
inserting a vascular stent into the diseased artery to keep
the artery open thereby securing blood supply to the
heart muscle.
by auricular chondrocytes we have been working on the
development of a fluid-structure-cell interaction algorithm.
The aim is to mathematically and computationally simulate
the growth, adhesion, detachment and long-term behavior
of auricular chondrocytes under controlled flow conditions.
Two algorithms: a fluid-structure interaction algorithm
(Figure 3 top) and an algorithm simulating cell deposition
and attachment to artificial surfaces (Figure 3 bottom) have
already been developed, and a comparison with experiment
showed good agreement.
Figure 1. Vascular stent
and restenosis. (Click on
the picture to run the movie.)
Upon implantation, vascular stents have been shown to
activate inflammatory responses due to their poor
biocompatibility. To improve biocompatibility of
implantable cardiovascular devices, our group showed
that lining stents with ear cartilage cells called auricular
chondrocytes, might produce a long-lasting biocompatible
device. Chondrocytes were genetically modified to
produce nitric oxide which is known to have an antiinflammatory action. They were shown to exhibit superior
adherance to artificial surfaces such as those of stents,
shown in Figure 2.
Figure 2. Stent struts lined with
auricular chondrocytes: before
expansion of stent (left), after
expansion (right) (Wire filament
width is 200 microns).
Figure 3 Computational
simulation:blood flow-stent
interaction (top), cell rolling
and detachment (bottom).
(Click on the picture to run the
movies.)
WHY IT MATTERS: Heart attack is the single leading
cause of death in the United States. Design of long-lasting
biocompatible stents used in the treatment of coronary
artery disease might lower the heart attack rates and
improve the health of heart patients.
Collaborative Research: Modeling the Growth and Adhesion of
Auricular Chondrocytes under Controlled Flow Conditions
OUTLOOK: Although a first generation fluid-structure
PUBLICATIONS (selected):
interaction algorithm and a fluid-cell interaction algorithm
have been developed by our group, the coupling between
the two algorithms is yet to be investigated.
Simultaneously, we have been working on the set up of
the flow loop, shown in Figure 4, for experimental testing
of the vascular stent dynamics and cell slough off under
controlled (pulsatile) flow conditions. The flow loop will be
used to validate the mathematical and computational
algorithm. Once the computational algorithm is
experimentally validated, it will be used as a guide to
optimal design of coated stents allowing different stent
geometries and different artificial surfaces.
For a complete list of publications please visit www.math.uh.edu/~canic/NIGMS.html
• 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 Vol. 67 (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).
• 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.
• S. Canic, Z. Krajcer, and S. Lapin. Design of Optimal Prostheses Using
Mathematical Modeling. Endovascular Today (Cover Story). (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, Glowinski and Zolesio eds.,
Lecture Notes in Pure and Applied Mathematics, Vol. 252, Taylor & Francis/CRC
Press, Boca Raton, FL, 2006 .
Figure 4.. Experimental
flow-loop set up.
•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).
PIs, Collaborators and Students: S. Canic, T.-W. Pan, R.
*Received US Congressional Recognition for
The Best Women in Technology Award (Houston 2005)
(awarded to PI Canic)
*SIAM 2004 von Karman Prize (awarded to Glowinski)
*Glowinski elected to the French National Academy of
Sciences in 2005
Glowinski (UH), D. Rosenstrauch (UTMCH&THI), C. Hartley
(Baylor) PIs; G. Guidoboni (UH), A. Mikelic (France), J.
Tambaca (Croatia), D. Mirkovic (MD Anderson Cancer Center),
Z. Krajcer (THI), S. Lapin (UH) Collaborators; M. Kosor, T.
Kim, J. Hao, T. Wang, B. Stanley (UH), K. Moncivais,
T. Joseph, J. Gill (Rice) Students.
Thanks: Mia Mirkovic for help with poster.
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