ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

continuum approaches; in initial works, platelets and their activated counter parts were
assumed as solutes, which were traced by convection-diffusion-reaction equations [2];
in some other continuum models, the cells were supposed as virtual particles whose
motion were controlled by the hydrodynamic forces which were derived from one-way
coupled solution of Navier-Stokes equations [3]. Later Lattice-Boltzmann method was
also used to model deposition of platelets; although their approach was particle-based,
there was no distinction between colloidal cells and plasma constituent particles [4].
Filipovic et al. in [5] used Dissipative Particle Dynamics (DPD), as another particlebased
method, to simulate thrombosis in a tube expansion. Although this method has
much potential to emphasize on colloidal characteristics of blood cells in the
surrounding plasma, there was no distinction made between platelets and cells in
mechanical terms other than the adhesive capability of the activated platelets. The thesis
of Pivkin, [6], had much more merit in colloidal trait of blood using DPD, however, the
interaction of platelets with each other and wall were modeled based on their prior
force-coupling model, which draw shadow on their approach.
3. Method
3.1 Dissipative Particle Dynamics treating Fluid
In our model, Dissipative particle dynamics is used to keep the trajectories of coarsegrained
particles through inter-particles well-defined, short-range forces and application
of the second Law of Newton. The inter-particle forces are typically conservative force,