Mathematical Modeling of Micro-/Nanoparticles Transport in Blood Vessels: A Review

Targeted drug delivery using drug-carrying nanoparticles has emerged as a promising approach for the treatment of diseases such as cancer. This review paper provides an overview of the current state of the art in modeling the transport and margination of micro-/nanoparticles in blood vessels. The review examines single-particle models, which consider a single micro-/nanoparticle, and multi-particle models, which consider a large number of particles in the bloodstream. The models are assessed based on factors such as the geometry of the blood vessel, the type, shape, size, and concentration of micro-/nanoparticles, the type of blood flow, the mathematical modeling approach, investigated parameters, and observed results. By analyzing the literature, this review aims to identify the desired properties of micro-/nanopharmaceuticals and to highlight the limiting factors of particle transport in the vascular system. The findings of this review can provide useful insights for researchers working on the development of more effective drug delivery strategies.