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In Silico Approach Towards Magnetic Fluid Hyperthermia in Cancer Treatment: Modeling and Simulation presents mathematical modeling and simulation approaches contrary to costly an… Read more
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In Silico Approach Towards Magnetic Fluid Hyperthermia in Cancer Treatment: Modeling and Simulation presents mathematical modeling and simulation approaches contrary to costly and time consuming in-vivo and in-vitro studies. Finite element method-based models of all hyperthermia processes of liver, brain and breast tumors are simulated on COMSOL Multiphysics software. Problems of constant versus variable heat sources, the backflow problem, the enhanced permeation and retention effect, the flow around Happel’s sphere in cells model structure, the deformation effect in poroelastic brain tumor, 3D flow through porous tissue, the reacting nanofluid flows, and optimization of parameters have been simulated for quantitative analysis.
This important reference aids in hyperthermia treatment planning in clinical applications and provides an important compendium for practitioners as well as non-medical practicing scientists and engineers and is resource for both research and medical practice in hyperthermia treatment planning in clinical applications.
1. INTRODUCTION. 1.1 NANOSCIENCE & NANOTECHNOLOGY. 1.2 CLASSIFICATIONS OF BIOLOGICAL EXPERIMENTS. 1.2.1 The In-Vitro Studies. 1.2.2 The In-Vivo Studies. 1.2.3 The In-Silico Studies. 1.3 CANCER, MAIN TYPES, AND STATISTICS . 1.4 TRADITIONAL CANCER TREATMENT TECHNIQUES. 1.4.1 Chemotherapy. 1.4.2 Radio-therapy. 1.4.3 Surgery. 1.4.4 Immunotherapy. 1.5 HYPERTHERMIA. 1.6 CLASSIFICATIONS OF HYPERTHERMIA. 1.6.1 Moderate or Mild Hyperthermia. 1.6.2 Ablation Hyperthermia. 1.6.3 Dithermia. 1.6.4 Local Hyperthermia. 1.6.5 Regional Hyperthermia. 1.6.6 Whole-Body Hyperthermia . 1.6.7 Interstitial Hyperthermia. 1.7 MAGNETIC NANOPARTICLES (MNPS) AND HYPERTHERMIA. 1.8 SYNTHESIS OF MNPS. 1.8.1 Synthesis of CoFe2O4@MnFe2O4 MNPs Through Modification of Growth Method. 1.8.2 Synthesis of Fe3O4 MNPs by the Method of Molday. 1.8.3 Synthesis of Fe3O4 MNPs by Facile Method. 1 1.9 LOADING MNPS AT THE TUMOR SITE. 1.9.1 Intravenous Approach, Enhanced Eermeation and Retention (EPR) Effect. 1.9.2 Direct Needle Injection Approach.
2. LITERATURE SURVEY. 2.1 MATHEMATICAL MODELING OF MFH. 2.2 ANALYTICAL MODELING OF MFH. 2.3 NUMERICAL MODELING OF MFH. 2.4 OPTIMIZATION IN MFH. 2.5 INTEGRATED THERAPIES. 2.6 IN-VIVO EXPERIMENTAL STUDIES OF MFH. 2.7 IN-VITRO EXPERIMENTAL STUDIES ON MFH.
3. MECHANISM OF HEAT GENERATION BY MAGNETIC NANOPARTICLES. 3.1 MAGNETIC FORCE ON NANOPARTICLE. 3.2 MAXWELL’S EQUATIONS. 3.3 THE MAGNETIC VECTOR POTENTIAL. 3.4 THE SCALAR ELECTRIC POTENTIAL. 3.5 HYSTERESIS CURVE AND COERCIVITY. 3.6 NEEL AND BROWNIAN RELAXATION. 3.7 HEAT GENERATED BY MNPS.
4. GOVERNING MATHEMATICAL MODELS. 4.1 NANOFLUID FLOW IN THE INJECTING NEEDLE. 4.2 NANOFLUID INFUSION IN THE TUMOR INTERSTITIUM. 4.3 NANOFLUID DIFFUSION IN THE TUMOR INTERSTITIUM. 4.4 TRANSFER OF HEAT IN THE BODY TISSUE. 4.5 ESTIMATION OF A FRACTION OF TUMOR INJURY. 4.6 THERMO-PHYSICAL PROPERTIES OF THE NANOFLUID. 4.6.1 The Volume Fraction of the Nanofluid. 4.6.2 Effective Density of the Nanofluid. 4.6.3 Nanofluid’s Specific Heat Capacity. 4.6.4 Nanofluid’s Thermal Conductivity. 4.6.5 The Viscosity of the Nanofluid. 4.7 FLUX OF THE NANOFLUID. 4.8 NANOFLUID’S MASS CONCENTRATION. 4.9 BOUNDARY CONDITIONS (BCs). 4.9.1 Neumann Boundary Condition. 4.9.2 Dirichlet Boundary Condition. 4.10 INITIAL CONDITIONS (ICs).
5 MODELING THE MAGNETIC FLUID HYPERTHERMIA OF LIVER CANCER.5.1 GOVERNING MATHEMATICAL MODELS. 5.1.1 Nanofluid Injection in the Tumor. 5.1.2 Nanofluid Diffusion in the Tumor. 5.1.3 Heat Dissipation by the MNPs. 5.1.4 Transfer of Heat in the Liver Tumor Tissue. 5.1.5 Estimation of the Fraction of Tissue Necrosis. 5.1.6 Heat Sources in Terms of Concentration and Temperature. 5.2 RESULTS. 5.2.1 Geometry Construction and Mesh Generation. 5.2.2 Computing the Nanofluid Infusion in the Tumor. 5.2.3 Computing the Nanofluid Diffusion in the Tumor. 5.2.4 Computing Heat Transfer in the Liver Tissue. 5.2.5 Estimation of the Fraction of the Tumor Damage. 5.2.6 Validation of Current Study with Pre-Existing Studies. 5.2.7 Temperature Profiles of the Different MNPs. 5.2.8 Temperature Profiles of Constant Versus Variable Heat Sources. 5.3 DISCUSSION. 5.4 CONCLUSIONS.
6 MODELING THE MAGNETIC FLUID HYPERTHERMIA OF POROELASTIC BRAIN TUMOR.6.1 THE STRESS COMPONENTS ON THE BODY TISSUE. 6.2 THE STRAIN COMPONENTS ON THE BODY TISSUE. 6.3 THE STRESS-STRAIN RELATIONSHIP. 6.4 PHYSICAL PROPERTIES OF NANOFLUID. 6.5 GOVERNING MATHEMATICAL MODELS. 6.5.1 Nanofluid Infusion in the Tumor. 6.5.2 Deformation of Poroelastic Tumor. 6.5.3 Nanofluid Diffusion in Poroelastic Tumor. 6.5.4 Heat Produced in the Poroelastic Brain Tissue by MNPs. 6.5.5 Heat Transfer in Poroelastic Brain Tissue. 6.6 RESULTS. 6.7 DISCUSSION. 6.8 CONCLUSIONS.
7. MODELING THE IMPACT OF NANOPARTICLES SIZE ON TUMOR HEATING DURING THERMAL THERAPY OF BREAST CANCER. 7.1 MATHEMATICAL MODELS. 7.1.1 Flow of Nanofluid Flow in the Injecting Needle. 7.1.2 Infusion of Nanofluid: Needle Tip to the Tumor. 7.1.3 The Nanofluid Diffusion in the Tumor. 7.1.4 Heat Dissipation by the MNPs. 7.1.5 Derivation of Heat Dissipation in Terms of Size of MNPs. 7.2 THE TRANSFER OF HEAT IN THE BREAST TISSUE. 7.3 PREDICTION OF THE TUMOR DAMAGE. 7.4 RESULTS. 7.5 DISCUSSIONS. 7.6 CONCLUSIONS.
8. MAGNETIC FLUID HYPERTHERMIA OF FEMALE BREAST CANCER IN THREE DIMENSIONS.8.1 PHYSICAL PROPERTIES OF NANOFLUID. 8.2 MATHEMATICAL MODELS. 8.2.1 Nanofluid Infusion in the Tumor. 8.2.2 The Diffusion of Nanofluid in the Tumor. 8.2.3 Heat Produced by Iron Oxide (Fe3O4)MNPs. 8.2.4 Heat Transfer in the Breast Tissue. 8.2.5 Prediction of the Fraction of Tumor Necrosis. 8.3 SENSITIVITY ANALYSIS. 8.4 THE AMF GENERATED BY THE COIL. 8.5 RESULTS. 8.6 DISCUSSION. 8.7 CONCLUSIONS.
9. ENHANCED PERMEATION AND RETENTION EFFECT (EPR). 9.1 PROPERTIES OF NANOFLUID. 9.2 MATHEMATICAL MODELS. 9.2.1 Nanofluid Flow in the Blood Vessel. 9.2.2 Diffusion of Nanofluid in the Tumor Interstitium. 9.2.3 Heat Transfer in the Porous Tumor Interstitium. 9.3 RESULTS. 9.4 DISCUSSIONS. 9.5 CONCLUSIONS.
10. THE MECHANICS OF NANOFLUID FLOW AROUND HAPPEL’S SPHERE IN THE CELL-MODEL STRUCTURE OF THE POROUS TUMOR. 10.1 PROPERTIES OF NANOFLUID.10.2 GOVERNING MATHEMATICAL MODELS. 10.2.1 Nanofluid Flow in the Porous Tumor . 10.2.2 Nanofluid Diffusion in the Tumor Interstitium . 10.3 RESULTS. 10.4 DISCUSSIONS. 10.5 CONCLUSIONS.
11. THREE-DIMENSIONAL TRANSPORT OF NANOFLUID IN POROUS TUMOR. 11.1 PROPERTIES OF NANOFLUID. 11.2 GOVERNING MATHEMATICAL MODELS. 11.2.1 Laminar Flow Through Porous Tumor Interstitium. 11.2.2 Transport of Mobile Nanofluid in the Immobile Tumor Interstitium. 11.2.3 Liquid Phase Diffusion Coefficient. 11.2.4 Liquid Phase Tortuosity Factor. 11.2.5 Sorption with Langmuir Species. 11.2.6 Sorption with Freundlich Species. 11.2.7 Dispersion. 11.2.8 Adding Physics, Studies, and Geometry Construction of the Problem. 11.2.9 Adding Initial Conditions, Boundary Conditions, and Material. 11.2.10 Mesh Generation. 11.3 RESULTS. 11.4 DISCUSSIONS. 11.5 CONCLUSIONS.
12. SIMULATION OF THE REACTING NANOFLUID IN THE POROUS TUMOR. 12.1 PROPERTIES OF NANOFLUID. 12.2 GOVERNING MATHEMATICAL MODELS. 12.3 ADDING PHYSICS AND GEOMETRY CONSTRUCTION OF THE PROBLEM. 12.4 ADDING INITIAL CONDITION, BOUNDARY CONDITIONS, AND MATERIAL. 12.5 MESH GENERATION OF THE PROBLEM. 12.6 RESULTS.12.7 DISCUSSIONS.12.8 CONCLUSIONS. 13. BASICS OF OPTIMIZATION. 13.1 THE MATHEMATICAL OPTIMIZATION. 13.2 LINEAR AND NONLINEAR PROGRAM. 13.3 CONVEX SET. 13.4 THE CONVEX FUNCTION. 13.5 THE CONVEX OPTIMIZATION FUNCTION.
14. STEADY-STATE AND TRANSIENT ANALYSIS OF MAGNETIC FLUID HYPERTHERMIA OF CYLINDRICAL TUMOR WITH OPTIMIZATION USING NELDER MEAD METHOD. 14.1 MATERIALS AND METHODS. 14.2 NANOFLUID AND ITS PROPERTIES. 14.3 GOVERNING MATHEMATICAL MODELS. 14.3.1 Magnetic Flux Density Developed by A Multiturn Coil. 14.3.2 Steady-State Analysis of Bioheat Transfer in Liver Tissue. 14.3.3 Analytical Solution of Steady-State Bioheat Transfer Model. 14.3.4 Transient Analytical of Bioheat Transfer in Liver Tissue 14.3.5 Construction of Optimization Problem Model. 14.3.6 Models of the Problem. 14.3.7 Material, ICs, and BCs. 14.3.8 Mesh Generation of the Model. 14.4 RESULTS. 14.5 DISCUSSION. 14.6 CONCLUSIONS.
15. OPTIMIZATION OF VELOCITY OF NANOFLUID IN MICROPORE OF POROUS TUMOR. 15.1 THE PROPERTIES OF NANOFLUID: A MATHEMATICAL MODELING APPROACH. 15.2 OPTIMIZATION USING THE METHOD OF MOVING ASYMPTOTES (MMA). 15.3 MATHEMATICAL MODELS. 15.4 RESULTS. 15.5 DISCUSSION. 15.6.CONCLUSIONS.
CONCLUSIONS. FUTURE WORK. Supplementary material: Appendix A. Supplementary material: Appendix B. Supplementary material: Appendix C. Supplementary material: Appendix D. Supplementary material: Appendix E. VITA.
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