Temperature Prediction for Tumor Hyperthermia with the Behavior of Thermal Wave

REFERENCES

• P. Moroz , S. K. Jones , and B. N. Gray , Magnetically Mediated Hyperthermia: Current Status and Future Directions , Int. J. Hyperthermia , vol. 18 , pp. 267 – 284 , 2002 .
   PubMed Web of Science ®Google Scholar
• H. H. Pennes , Analysis of Tissue and Arterial Blood Temperatures in the Resting Human Forearm , J. Appl. Physiol. , vol. 1 , pp. 93 – 122 , 1948 .
   PubMed Web of Science ®Google Scholar
• W. Kaminski , Hyperbolic Heat Conduction Equation for Material with a Non-Homogenous Inner Structure , ASME J. Heat Transfer , vol. 112 , pp. 555 – 560 , 1990 .
   Web of Science ®Google Scholar
• A. M. Braznikov , V. A. Karpychev , and A. V. Luikova , One Engineering Method of Calculating Heat Conduction Process , Inzhenerno Fizicheskii Zhurnal , vol. 28 , pp. 677 – 680 , 1975 .
   Google Scholar
• K. Mitra , S. Kumar , A. Vedavarz , and M. K. Moallemi , Experimental Evidence of Hyperbolic Heat Conduction in Processed Meat , ASME J. Heat Transfer , vol. 117 , pp. 568 – 573 , 1995 .
   Web of Science ®Google Scholar
• W. Roetzel , N. Putra , and S. K. Das , Experiment and Analysis for Non-Fourier Conduction in Materials with Non-Homogeneous Inner Structure , Int. J. Therm. Sci. , vol. 42 , pp. 541 – 552 , 2003 .
   Web of Science ®Google Scholar
• C. Cattaneo , Sur une forme de l'equation de la chaleur eliminant le paradoxe d'une propagation instantanee (in French) . Comptes rendus de l'Académie des sciences , vol. 247 , pp. 431 – 433 , 1958 .
   Google Scholar
• P. Vernotte , Les paradoxes de la theorie continue de l'equation de la chaleur (in French) . Comptes rendus de l'Académie des sciences , vol. 246 , pp. 3154 – 3155 , 1958 .
   Google Scholar
• H. D. Weymann Finite Speed of Propagation in Heat Conduction, Diffusion, and Viscous Shear Motion , Amer. J. Phys. , vol. 35 , pp. 488 – 496 , 1967 .
   Google Scholar
• S. L. Sobolev , Transport Processes and Traveling Waves in Systems with Local Non-Equilibrium , Sov. Phys. Usp. , vol. 34 , pp. 217 – 229 , 1991 .
   Google Scholar
• M. Salloum , R. H. Ma , D. Weeks , and L. Zhu , Controlling Nanoparticle Delivery in Magnetic Nanoparticle Hyperthermia for Cancer Treatment: Experimental Study in Agarose Gel, Int. J. Hyperthermia , vol. 24, pp. 337–345, 2008.
   PubMed Web of Science ®Google Scholar
• K. C. Liu , Analysis of Thermal Behavior in Multi-Layer Metal Thin-Films Based on Hyperbolic Two-Step Model , Int. J. Heat Mass Transfer , vol. 50 , pp. 1397 – 1407 , 2007 .
   Web of Science ®Google Scholar
• K. C. Liu , Numerical Analysis of Dual-Phase-Lag Heat Transfer in a Layered Cylinder with Nonlinear Interface Boundary Conditions , Comput. Phys. Commun. , vol. 177 , pp. 307 – 314 , 2007 .
   Web of Science ®Google Scholar
• K. C. Liu , Thermal Propagation Analysis for Living Tissue with Surface Heating , Int. J. Thermal Sci. , vol. 47 , pp. 507 – 513 , 2008 .
   Web of Science ®Google Scholar
• C. W. Song , J. G. Rhee , and S. H. Levitt , Blood Flow in Normal Tissues and Tumors During Hyperthermia , J. National Cancer Institute , vol. 64 , pp. 119 – 124 , 1980 .
   PubMedGoogle Scholar
• M. Gautheric , Thermopathology of Breast Cancer: Measurement and Analysis of in vivo Temperature and Blood Flow , Ann. N. Y. Acad. Sci. , vol. 335 , pp. 383 – 415 , 1980 .
   PubMedGoogle Scholar
• L. Hu , A. Gupta , J. P. Gore , and L. X. Xu , Effect of Forced Convection on the Skin Thermal Expression of Breast Cancer , ASME J. Heat Transfer , vol. 126 , pp. 204 – 211 , 2004 .
   Google Scholar
• W. Andrä , C. G. d'Ambly , R. Hergt , I. Hilger , and W. A. Kaiser , Temperature Distribution as Function of Time Around a Small Spherical Heat Source of Local Magnetic Hyperthermia , J. Magnetism and Magnetic Materials , vol. 194 , pp. 197 – 203 , 1999 .
   Web of Science ®Google Scholar
• H. G. Bagaria and D. T. Johnson , Transient Solution to the Bioheat Equation and Optimization for Magnetic Fluid Hyperthermia Treatment , Int. J. Hyperthermia , vol. 21 , pp. 57 – 75 , 2005 .
   PubMed Web of Science ®Google Scholar
• S. Maenosono and S. Saita , Theoretical Assessment of FePt Nanoparticles as Heating Elements for Magnetic Hyperthermia , IEEE Trans. on Magnetics , vol. 42 , pp. 1638 – 1642 , 2006 .
   Web of Science ®Google Scholar
• G. Honig and U. Hirdes , A Method for the Numerical Inversion of Laplace Transforms , J. Comp. Appl. Math. , vol. 10 , pp. 113 – 132 , 1984 .
   Web of Science ®Google Scholar
• W. C. Dewey , D. E. Thrall , and E. L. Gillette , Hyperthermia and Radiation—Selective Thermal Effect on Chronically Hypoxic Tumor-Cells in Vivo , Int. J. Radiat, Oncol. Biol. Phys. , vol. 99 , pp. 99 – 103 , 1977 .
   Google Scholar
• K. C. Liu , Analysis of Dual-Phase-Lag Thermal Behavior in Layered Films with Temperature-Dependent Interface Thermal Resistance , J. Phys. D: Appl. Phys. , vol. 38 , pp. 3722 – 3732 , 2005 .
   Google Scholar
• K. C. Liu , Analysis of Thermal Behavior in Multi-Layer Metal Thin-Films based on Hyperbolic Two-Step Mode , Int. J. Heat and Mass Transfer , vol. 50 , pp. 1397 – 1407 , 2007 .
   Web of Science ®Google Scholar
• K. C. Liu , and P. J. Cheng , Numerical Analysis for Dual-Phase-Lag Heat Conduction in Layered Films , Numerical Heat Transfer, part A , vol. 49 , pp. 589 – 606 , 2006 .
   Web of Science ®Google Scholar