Chato J.C. (1981) Reflection on the history of heat and mass transfer in bioengineering. Journal of Biomechanical Engineering, 103, 97-101.
Pennes H.H. (1948) Analysis of tissue and arterial temperatures in the resting human forearm. Journal of Applied Physiology, 1, 93-122.
Davalosa R.V. and Rubinsky B. (2008) Temperature considerations during irreversible electroporation. International Journal of Heat and Mass Transfer, 51, 5617- 5622.
Niu J.-H., Wang H.-Z., Zhang H.-X., Yan J.-Y. and Zhu, Y.-S. (2001) Cellular neural network analysis for two dimensional bioheat transfer equation. Medical & Biological Engeering Computing, 39, 601-604.
Ginter S. (2000) Numerical simulation of ultrasound- thermotherapy combining nonlinear wave propagation with broadband soft-tissue absorption. Ultrasonics, 37, 693-696.
Lang J., Erdmann B. and Seebass, M. (1999) Impact of Nonlinear Heat Transfer on Temperature Control in Regional Hyperthermia. IEEE Transactions on Biomedical Engineering, 46, 1129-1138.
Arkin, H. Xu L.X. and Holmes K.R. (1994) Recent Developments in Modeling Heat Transfer in Blood Perfused Tissues. IEEE Transactions on Biomedical Engineering, 41, 97-107.
Alekseev S.I. and Ziskin M.C. (2009) Influence of Blood Flowand Millimeter Wave Exposure on Skin Temperature in Different Thermal Models. Bioelectromagnetics, 30, 52-58.
Nyborg W.L. (1988) Solutions of the bio-heat transfer equation. Physics in Medicine and Biology, 33, 785-792.
Shih T.-C., Yuan P., Lin W.-L. and Kou H.-S. (2007) Analytical analysis of the Pennes bioheat transfer equation with sinusoidal heat flux condition on skin surface. Medical Engineering & Physics, 29, 946-953.
Bodo, E., Jens L. and Martin, S. (1998) Optimization of Temperature Distributions for Regional Hyperthermia Based on a Nonlinear Heat Transfer Modela. Annals of the New York Academy of Sciences, 858, 36-46.
Seese T.M., Harasak H., Saidel G.M. and Davies C.R. (1998) Characterization of tissue morphology, angiogenesis, and temperature in the adaptive response of muscle tissue to chronic heating. Journal of Technical Methods and Pathology, 78, 1553-1562.
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 Biomechemical. Engeeering, 119, 77-80.
Kengne E. and Liu, W.M. (2006) Exact solutions of the derivative nonlinear Schr?dinger equation for a nonlinear transmission line, Physical Review E, 73, 1-8.
Lakhssassi, A., Kengne, E. and Semmaoui H. (2010) Investigation of nonlinear temperature distribution in biological tissues by using bioheat transfer equation of Pennes’type. Journal of Natural Sciences, 2, 131-138.
Kengne E. and Vaillancourt R. (2009) Exact equilibrium solutions of a diffusion equation with a nonlinear diffusion term by means of Jacobian elliptic functions. Integral Transforms and Special Functions, 1, 1-18.
Weierstrass K., Mathematische W.V. (1915) Johnson, New York, 4-16.
Whittaker E.T. and Watson, G.N. (1927) A Course of Modern Analysis, Cambridge University Press, Cambridge.
Chandrasekharan K. (1985) Elliptic Functions. Springer, Berlin.
Schürmann H.W. and Serov S.V. (2004) Traveling wave solutions of a generalized modified. Kadomtsev-Petvi- ashvili equation, Journal of Mathematical Physcis, 45, 2181-2187.
Abramowitz M. and Stegun A.I. (1972) Handbook of Mathematical Functions. 9th edition, Dover Publications, New York.
Byrd P.F. and Friedman M.D. (1971) Handbook of elliptic integrals for engineers and scientists. 2nd Edition, Springer-Verlag, Berlin.
Schürmann, H.W., Serov, V.S. and Nickel, J. (2006) Superposition in nonlinear wave and evolution equations. International Journal of Theoretical Physics, 45, 1057- 1073.
Kou H.S., Shih, T.C. and Lin, W.L. (2003) Effect of the directional blood flow on thermal dose distribution during thermal therapy: an application of a Green’s function based on the porous model. Physics in Medicine and Biology, 48, 1577-1589.
Press, W.H., Flannery, B.P., Teukolsky, S.A. and Vallerling, W.T. (1992) Numerical Recipes in Fortran. Cambridge University Press, Cambridge.