[1]
|
Pennes, H.H. (1948) (1998) Analysis of tissue and arterial blood temperatures in the resting human forearm. Journal of Applied Physics, 1, 93-122; 85, 5-34.
|
[2]
|
Meyer, C., Philip, P. and Troltzsch, F. (2004) Optimal control of semilinear PDE with nonlocal radiation interface conditions. IMA Preprint Series, 2002.
|
[3]
|
Yamamoto, M. and Zou, J. (2001) Simultaneous rec- onstruction of the initial temperature and heat radiative coefficient. Investment Problems, 17, 1181-1202.
|
[4]
|
Ganzler, T., Volkwein, S. and Weiser, M. (2006) SQP methods for parameter identification problem arising in hyperthermia. Optimization Methods and Software, 21, 869-887.
|
[5]
|
Arkin, H., et al. (1986) Thermal pulse decay method for simultaneous measurement of local thermal conductivity and blood perfusion: A theoritical snalysis. Journal of Biomechanical Engineering, 108, 208-214.
|
[6]
|
Deuflhard, P. and Seebass, M. (1998) Adaptive multilevel FEM as decisive tools in clinical cancer therapy hyper- thermia. Konrad-Zuse-Zentrum für Information stechn, Berlin Takustr, Berlin, 7.
|
[7]
|
Hill, J. and Pincombe, A. (1992) Some similarity temp- erature profiles for the microwave heating of a half-space. Journal of the Australian Mathematical Society, Series B, 33, 290-320.
|
[8]
|
Chato, J.C. (1980) Heat transfer to blood vessels. Journal of Biomechanical Engineering, 102, 110-118.
|
[9]
|
Weinbaum, S. and Jiji, L.M. (1985) A two simplified bioheat equation for the effect of blood flow on average tissue temperature. Journal of Biomechanical Engineer- ing, 107, 131-139.
|
[10]
|
Chen, M.M. and Holmes, K.R. (1980) Microvascular contributions in tissue heat transfer. Annals of the New York Academy of Sciences, 335, 137-150.
|
[11]
|
Charney, C.K. (1992) Mathematical models of bioheat transfer. Advanced Heat Transfer, 22, 19-155.
|
[12]
|
Davies, C.R., Saidel, G.M. and Harasaki, H. (1997) Sensitivity analysis of 1-D heat transfer in tissue with temperature-dependent perfusion. Journal of Biomechan- ical Engineering, 119, 77.
|
[13]
|
Lang, J., Erdmann, B. and Seebass, M. (1999) Impact of nonlinear heat transfer on temperature control in regional hyperthermia. IEEE Transactions on Biomedical Engin- eering, 46, 1129-1138.
|
[14]
|
Weierstrass, K. (1915) Mathematische Werke V, New York, Johnson, 4-16; Whittaker, E.T. and Watson, G.N. (1927) A Course of Modern Analysis. Cambridge University Press, Cambridge, 454.
|
[15]
|
Zhao, J.J., Zhang, J., Kang, N. and Yang, F. (2005) A two level finite difference scheme for one dimensional Pennes’ bioheat equation. Applied Mathematics and Computation, 171, 320-331.
|
[16]
|
Press, W.H., Flannery, B.P., Teukolsky, S.A. and Vallerling, W.T. (1992) Numerical Recipes in Fortran. Cambridge University Press, Cambridge.
|
[17]
|
Heath, M.T. (2002) Scientific Computing, an Introductory Survey, second edtion, McGraw-Hill, New York.
|
[18]
|
Liu, J., Chen, X. and Xu, L.X. (1999) New thermal wave aspects on burn evaluation of skin subjected to ins- tantaneous heating. IEEE Transactions on Biomedical Engineering, 46, 420-428.
|
[19]
|
Tun?, M., ?amdali, ü., Parmaksizoglu, C. and Cikrik ?i, S. (2006) The bioheat transfer equation and its applica-tions in hyperthermia treatments. Engineering Computa-tions, 23, 451-463.
|