As one of the promising innovative methods of drug delivery, magnetic drug targeting (MDT) ideally contains three main steps to treat localized diseases; chemically attaching drugs to magnetic nano particles and injecting to local blood stream, control and manipulating the cluster of particles in the arterial network with a proper external magnetic field, and finally trapping them and releasing the drugs at the diseased part of body. In this regard, some mathematical models, followed by uncountable numerical simulations, have been developed. We have focused on concentrating the magnetic field in order to increase its depth of penetration. In this regards we are studying the effects of tissues on dispersing and weakening the magnetic field as well as the mechanisms to concentrate such field. Another aspect of the problem is to obtain a model of the particles movement and distribution across the blood stream. Since getting feedback from the state of the particles in the blood flow inside the body is not so feasible by accessible mechanisms, we are trying to design the model-based and open-loop control methods to manipulate the particles in an appropriate way. In this direction, we have performed numerical simulations as well as solved two-phase problem of particles movement inside the blood flow in order to obtain an approximate-analytical solution for the problem; significant results have been obtained in the first steps.
