ABSTRACT
Hyperthermia has been used in a variety of therapeutic procedures for patients with cancers in the past several decades [13]. It is suitable for patients diagnosed with
3.1 Introduction ....................................................................................................69 3.2 Mathematical Model ....................................................................................... 73
3.2.1 Fluid Flow and Tissue Deformation during an Infusion Process ....... 73 3.2.2 Nanoparticle Convection and Diffusion in Tumors ............................ 74 3.2.3 Particle Trajectory-Tracking Model for Calculation of kf ................... 75
3.2.3.1 Viscous Lift Force ............................................................... 78 3.2.3.2 van der Waals Force and Electrostatic Double Layer Force ... 78 3.2.3.3 Brownian Motion ................................................................. 79
3.2.4 Model Integration ...............................................................................80 3.3 Prediction of Deposition Rate Coefficient ......................................................80 3.4 One-Dimensional Nanoparticle Distribtions in Nondeformable Tumors ....... 81 3.5 Nanofluid Infusion in Deformable Tumors ..................................................... 82 3.6 Discussions .....................................................................................................88 3.7 Conclusion ......................................................................................................92 Acknowledgments ....................................................................................................92 Nomenclature ...........................................................................................................92
