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Recent advances witness the potential to employ nanomedicine and game-changing methods to deliver drug molecules directly to diseased sites. To optimize and then enhance the efficacy and specificity, the control and guidance of drug carriers in vasculature has become crucial. Current bottlenecks in the optimal design of drug carrying particles are the lack of knowledge about the transport of particles, adhesion on endothelium wall and subsequent internalization into diseased cells. To study the transport and adhesion of particle in vasculature, the authors have made great efforts to numerically investigate the dynamic and adhesive motions of particles in the blood flow. This book discusses the recent achievements from the establishment of fundamental physical problem to development of multiscale model, and finally large scale simulations for understanding transport of particle-based drug carriers in blood flow.