  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 (1.5mm x 1.6mm x 0.1mm) with small crevices
(125{\mu}m x 75{\mu}m and 125{\mu}m x 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.
