Magnetic Drug Targeting in Cancer Therapy

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Current research on methods to target chemotherapy drugs in the human body includes the investigation of so-called bio compatible magnetic nano-carrier systems. For example, magnetic liquids such as ferrofluids can play an important role as drug carriers in the human body. As such, they can be used for drug targeting in modern locoregional cancer treatment.
This model example demonstrates a simple setup to investigate an external
magnetic field and its interaction with blood flow with a magnetic carrier substance. The model treats the liquid as a continuum, which is a good first step. The equations and theory are based on the Maxwell equations and Navier-Stokes equations. For a representative geometry (blood vessel), the Maxwell equations for a static magnetic field are solved. The resulting magnetic field is coupled to a fluid flow problem described by the Navier Stokes equations. The ferro hydro dynamics of the blood is studied by adding a magnetic volume force to the Navier Stokes equations, which stems from the solution to magnetic field problem.

                               
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Blood velocity field U and magnetic isopotential lines at t=0.35.