Transient solution to the bioheat equation and optimization for magnetic fluid hyperthermia treatment

Gilchrist RK, 1957, Ann Surg, 146, 596, 10.1097/00000658-195710000-00007

Hergt R, 1998, Physical limits of hyperthermia using magnetite fine particles. IEEE Trans Mag, 34, 3745

Moroz P, 2002, Gray BN. Magnetically mediated hyperthermia: Current status and future directions. Int J Hyperthermia, 18, 267

Pennes HH, 1948, J App Physiol, 1, 93, 10.1152/jappl.1948.1.2.93

Arkin H, 1994, Recent developments in modelling heat transfer in blood perfused tissues. IEEE Trans Biomed Eng, 41, 97

Newman WH, 1990, Limitations and significance of thermal washout data obtained during microwave and ultrasound hyperthermia. Int J Hyperthermia, 6, 771

Vyas R, 1992, Med Phys, 19, 1319, 10.1118/1.596767

Gao B, 1995, Application of the time-dependent Green's function and Fourier transforms to the solution of the bioheat equation. Int J Hyperthermia, 11, 267

Deng ZS, 2002, J Biomech Eng, 124, 638, 10.1115/1.1516810

Andra W, 1999, Temperature distribution as function of time around a small spherical heat source of local magnetic hyperthermia. J Magn Magn Mat, 194, 197

Durkee JW, 1990, Lee CE. Exact solutions to the multiregion time-dependent bioheat equation I: Solution development. Phys Med Biol, 35, 847

Durkee JW, 1990, Lee CE. Exact solutions to the multiregion time-dependent bioheat equation. II: Numerical evaluation of the solutions. Phys Med Biol, 35, 869

Durkee JW, 1991, Phys Med Biol, 36, 345, 10.1088/0031-9155/36/3/004

Durkee JW, 1991, Phys Med Biol, 36, 1377, 10.1088/0031-9155/36/10/006

Ocheltree KB, 1987, hit J Hyperthermia, 3, 269, 10.3109/02656738709140393

Ocheltree KB, 1988, Int J Hyperthermia, 4, 281, 10.3109/02656738809051104

Jain RK, 1994, Sci Am, 271, 58, 10.1038/scientificamerican0794-58

Shinkai M, 2001, Targeting hyperthermia for renal cell carcinoma using human MN antigen-specific magnetoliposomes. Jpn J Cancer Res, 92, 1138

10.1016/S0142-9612(02)00440-4

Rosensweig RE, 2002, J Magn Magn Mat, 252, 370, 10.1016/S0304-8853(02)00706-0

Jordan A, 1997, Int J Hyperthermia, 13, 587, 10.3109/02656739709023559

Hilger I, 2002, Invest Radiol, 37, 580, 10.1097/00004424-200210000-00008