1. Introduction2. Literature survey3. Mechanism of heat generation by magnetic nanoparticles4. Governing mathematical models5 modeling the magnetic fluid hyperthermia of liver cancer6 modeling the magnetic fluid hyperthermia of poroelastic brain tumor7. Modeling the impact of nanoparticles size on tumor heating during thermal therapy of breast cancer8. Magnetic fluid hyperthermia of female breast cancer in three dimensions9. Enhanced permeation and retention effect (epr)10. The mechanics of nanofluid flow around happel's sphere in the cell-model structure of the porous tumor11. Three-dimensional transport of nanofluid in porous tumor12. Simulation of the reacting nanofluid in the porous tumor14. Steady-state and transient analysis of magnetic fluid hyperthermia of cylindrical tumor with optimization using nelder mead method15. Optimization of velocity of nanofluid in micropore of porous tumor