A three-dimensional two phase method for predicting drug delivery to tumor

• We model blood flow in tumor microvasculature.
• We numerically examine drug delivery to the tumor.
• We investigate the effect of different parameters on drug delivery.
• We develop a correlation for the amount of drug delivered to the tumor.

This study aims to numerically investigate drug delivery to the tumor through the pores in its microvascular wall. A segment of tumor capillaries is modeled as a rigid cylinder with a single pore. Blood flow with nanoparticles is examined by Eulerian–Lagrangian approach in which the blood and particles are modeled as continuous phase and discrete phase, respectively. For investigating of nanoparticle-blood flow, a model is used in which almost all possible effective forces on the motion of particles are considered and blood flow are modeled as a combination of a non-Newtonian core region and Newtonian peripheral region. At the core region, it is considered that the blood flow behaves as non-Newtonian power law model. The effect of different controllable parameters on the particle delivery is investigated and the effectiveness of each of these parameters is discussed and compared with each other. Finally, a correlation was developed for the nanoparticle delivery.

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