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 fl ow, 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 fi ndings of this review can provide useful insights for

researchers working on the development of more eff ective drug delivery strategies.

Transport phenomena · Mathematical modeling · Drug delivery · Nanoparticle · Blood

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