Parallel simulation of magnetic targeting of nano-carriers in capillary using OpenMP and MPI

A parallel algorithm for simulating concentration distribution of nano-carriers in a capillary is developed by using the combination of OpenMP and MPI. The transport of the carriers under the influences of diffusion, blood flow and magnetic driving force is investigated in two dimensions on a plane that symmetrically slices through the capillary diameter and parallel to the capillary axis. The continuity equation governing carriers transport is solved numerically as initial and boundary values problem by using the finite difference method. The computing tasks of updating carrier concentration at each time step are distributed to a group of nodes and threads in the parallel simulation. The patterns of carrier concentration distribution, which are simulation results, show the progress of carrier accumulation within the considered region. These data can be visualized and are useful for biomedical researchers. The performance of parallel computing by OpenMP and MPI is also evaluated.