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2023-2026
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National Science Foundation DMS-2247000 (PI: Canic, co-PI:Wang)
Mechanistic modeling of cell encapsulation
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2020-2023
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National Science Foundation DMS-2011319 (PI: Canic)
A computational approach to the design of a bioartificial pancreas
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2018-2021
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National Science Foundation DMS-1853340 (PI: Canic; Collaborators: J. Tambaca, T. Desai, and L. Grubisic):
Development of Mathematical Methods for Next Generation Stent Design
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2016-2019
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National Science Foundation DMS-1613757 (PI: Canic; Collaborators: M. Bukac and B. Muha):
Fluid-elastic structure interaction with the Navier slip boundary condition
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2013-2017
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National Science Foundation NIGMS DMS-1263572 (PI: Canic; co-PIs: A. Quaini (UH), Dr. S. Little
(The Methodist Hospital, Houston)):
Collaborative Research: Advancing the Diagnosis and Quantification of Mitral Valve Regurgitation with Mathematical Modeling.
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2013-2017
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National Science Foundation DMS-1318763 (PI: Canic; co-PI: M. Bukac (University of Pittsburgh)):
Fluid-structure interaction with multi-layered structures: a new class of partitioned schemes
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2013-2017
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National Science Foundation DMS-1311709 (PI: Canic; Collaborator: B. Muha (U of Zagreb, Croatia)):
Fluid multi-structure interaction problems
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2013-2014
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National Science Foundation DMS-1262385 (PI: Canic; co-PI:Quaini(UH)):
Post-doctoral Supplement to Coanda effect for incompressible flows in moving domains
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2011-2013
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National Science Foundation DMS-1109189 (PI: Canic; co-PI: Quaini):
Coanda effect for incompressible flows in moving domains
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2011-2013
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American Heart Association (AHA) grant (Senior Investigator, PI: Dr. S. Little):
Multimodality 3D Imaging for the Quantification of Prosthetic Valve Function
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2010-2012
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Texas Higher Education Board (ARP-Mathematics) 003652-0023-2009 (PI Canic, co-PI Glowinski)
Support for research with
Drs. Little and Zoghbi of The Methodist Hospital on
Computational Modeling of Echocardiographic
Assessment of Mitral Regurgitation.
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2008-2011
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NSF DMS-0806941 (Single PI; Applied Mathematics)
Support for research on Moving-boundary problems
in blood flow.
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2005-2010
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NSF/NIH DMS-0443826 (NIGMS Competition)
Collaborative Research on Cell Coating of Artificial
Surfaces of Cardiovascular Devices. PI: Canic,
co-PIs: R. Glowinski (UH), T.W. Pan (UH),
Dr. D. Rosenstrauch (Texas Heart Institute)
and Dr. C. Hartley (Baylor College of Medicine)
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2008-2009
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TLCC at UH (co-PI with Azencott and Guidoboni)
Post-doc Support for collaboration with Methodist Hospital on
Modeling of Echocardiographic Assessment of
Mitral Regurgitation
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2007-2008
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University of Houston GEAR grant.
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2006-2008
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Texas Higher Education Board (ARP-Mathematics) #003652-0051-2006
Support for research on Mathematics for Cardiovascular Stenting
PI: Canic, co-PI: Guidoboni (UH)
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2003-2007
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NSF DMS-0244343 (Focused Research Group Competition)
Support for research on Multi-Dimensional Problems for the Euler Equations
of Compressible Fluid Flow and Related Problems
PI: D. Wang (Pittsburgh), co-PIs: G-Q. Chen (Northwestern),
S. Canic (UH), C. Dafermos (Brown), J. Hunter (UC Davis)
T-P Liu (Stanford), C-W Shu (Brown),
M. Slemrod (Wisconsin), Y. Zhang (Penn State)
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2005
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NSF DMS-0503889 Applied Mathematics: Graduate student supplement.
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2003-2005
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NSF DMS-0337355 Research Experience for Undergraduates-Mathematical Biology.
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2003-2006
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NSF DMS-0245513 Applied Mathematics
Support for research in Hyperbolic Conservation Laws in Blood Flow
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2002-2004
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Texas Higher Education Board ARP 003652-0112-2001
Advanced Research Program in Mathematics. Support for research in
Multi-dimensional hyperbolic conservation laws.
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2002-2003
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NSF DMS-0225948 Analysis Program (Grant supplement).
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1999-2002
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NSF DMS-9970310 Classical Analysis Program. Support for research on
Nonlinear Waves in One-Dimensional and Multi-Dimensional Conservation Laws
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1999-2001
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University of Houston TLCC Student Support/
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1999-2002
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NSF REU Program (co-PI with Edward Dean)
Summer Research Experience for Undergraduates
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1996-1999
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NSF DMS-9625831 Classical Analysis Program.
Suport for research on
Mathematical Sciences: Nonlinear Wave Interactions in One and Two Space Dimensions
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1994-1996
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US Department of Energy DEFG0294ER25220.
Support for research on Riemann Problems for Nonlinear Conservation Laws.
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