Publication 17-CNA-010
Multi-Constituent Simulation of Thrombus Deposition
We-Tao Wu
Department of Biomedical Engineering
Carnegie Mellon
University
Pittsburgh, PA 15213
weitaow@andrew.cmu.edu
Megan A. Jamiolkowski
McGowan
Institute for Regenerative Medicine
Department of Bioengineering, University of Pittsburgh
Pittsburgh, PA
William R. Wagner
McGowan
Institute for Regenerative Medicine
Department of Bioengineering, University of Pittsburgh
Department of Surgery, University of Pittsburgh
Department of
Chemical Engineering, University of Pittsburgh
Pittsburgh, PA
Nadine Aubry
Department of Mechanical and Industrial Engineering
Northeastern University
Boston, MA 02115
n.aubry@northeastern.edu
Mehrdad Massoudi
Center for Nonlinear Analysis
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
and
National Energy Technology Laboratory (NETL)
U.S. Department of Energy
626 Cochrans Mill Road, P.O. Box 10940
Pittsburgh, PA 15236
massoudi@netl.doe.gov
James F. Antaki
Department of Biomedical Engineering
Carnegie Mellon
University
Pittsburgh, PA 15213
antaki@cmu.edu
Abstract: In this paper, we present a spatio-temporal mathematical model for simulating the formation and
growth of a thrombus. Blood is treated as a multi-constituent mixture comprised of a linear fluid phase
and a thrombus (solid) phase. The transport and reactions of 10 chemical and biological species are
incorporated using a system of coupled convection-reaction-diffusion (CRD) equations to represent
three processes in thrombus formation: initiation, propagation and stabilization. Computational
fluid dynamic (CFD) simulations using the libraries of OpenFOAM were performed for two illustrative
benchmark problems: in vivo thrombus growth in an injured blood vessel and in vitro thrombus
deposition in micro-channels (1.5 mm × 1.6 mm × 0.1 mm) with small crevices (125 $\mu$m × 75 $\mu$m and
125 $\mu$m × 137 $\mu$m). For both problems, the simulated thrombus deposition agreed very well with
experimental observations, both spatially and temporally. Based on the success with these two
benchmark problems, which have very different flow conditions and biological environments, we
believe that the current model will provide useful insight into the genesis of thrombosis in blood-wetted
devices, and provide a tool for the design of less thrombogenic devices.
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