3-D trajectory model for MDT using micro-spheres implanted within large blood vessels

•The 3-D capture areas (As) for an implant assisted MDT were reported.•The As ranging from 2 to 7 was obtained for a blood flow rate of 0.1 m s−1.•The particle radii ranging from 500 to 2500 nm and µ0H0<0.8 T are suggested.•The effects of saturation magnetization of MDCPs and targets on As were analyzed.

Implant assisted magnetic drug targeting (IA-MDT) using ferromagnetic spherical targets implanted within large blood vessels and subjected to a uniform externally applied magnetic field (H0)(H0) has been investigated and reported for the first time. The capture areas (As)(As) of magnetic drug carrier particles (MDCPs) were determined from the analysis of particle trajectories simulated from equations of motion. Then, the effects of various parameters, such as types of ferromagnetic materials in the targets and MDCPs, blood flow rates, mass fraction of the ferromagnetic material in the MDCPs, average radii of MDCPs (Rp)(Rp) and the strength of H0H0 on the AsAs were obtained. Furthermore, the effects of saturation magnetization of the ferromagnetic materials in the MDCPs and within the targets on the AsAs were analyzed. After this, the suitable strengths of H0H0 and RpRp for IA-MDT designs were reported. Dimensionless AsAs, ranging from 2 to 7, was obtained with RpRp ranging from 500 to 2500 nm, μ0H0μ0H0 less than 0.8 T and a blood flow rate of 0.1 m s−1. The target-MDCP materials considered are iron-iron, iron-magnetite and SS409-magnetite, respectively.