Research Projects

The human circulatory system plays a crucial role in the transportation of drugs in the blood flow, particularly in treating diseases like cancer. Magnetic drug targeting (MDT) is a safe and effective treatment that has been successfully applied to cancer patients. 85% of cancer is caused by solid tumors, and therapeutic nanoparticle-assisted drugs can be injected into the blood near the cancerous tissue region using an external magnetic field. However, previous research has mainly focused on capturing particles near the affected areas and ignoring the effect of dispersion and absorption of drugs. This proposal aims to understand the transportation processes (convection, dispersion, and absorption) of drugs to tumor cells in the tissue region, as well as the concentration of drugs in the tissue region. The proposal uses a non-Newtonian Carreau-Yasuda fluid and a magnetic field to capture magnetic nanoparticle-assisted drugs. The first aim is to obtain the velocity of the two-phase fluid, considered as blood, and the concentration of the applied drugs in both capillary and tissue regions. The analytical methodology will be applied, and analytical series solutions will be obtained to determine the concentration of drugs in both capillary and tissue. The eigenfunction expansion method will be performed to solve boundary value problems. The goal is to understand the absorption, convection, dispersion mechanisms, and concentration of drugs in both capillary and tissue, providing a better insight into treating cancer patients in the right way.