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Original Articles

An inverse coefficient identification problem for the bio-heat equation

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Pages 65-83 | Received 16 Apr 2007, Accepted 30 Nov 2007, Published online: 27 Nov 2008

References

  • Chato, JC, 1990. Fundamentals of Bioheat Transfer. Berlin: Springer-Verlag; 1990.
  • Liu, J, and Xu, LS, 2000. Boundary information based diagnostic on the thermal states of biological bodies, Int. J. Heat Mass Transfer 43 (2000), pp. 2827–2839.
  • Pennes, HH, 1948. Analysis of tissue and arterial blood temperature in the resting human forearm, J. Appl. Physiol. 1 (1948), pp. 93–122.
  • Chan, CL, 1992. Boundary element method analysis for the bioheat transfer equation, J. Biomech. Eng.– Trans. ASME. 114 (1992), pp. 358–365.
  • Ren, ZP, Liu, J, and Wang, CC, 1995. Boundary element method (BEM) for solving normal and inverse bio-heat transfer problem of biological bodies with complex shape, J. Therm. Sci. 4 (1995), pp. 117–124.
  • Strohbehn, JW, and Roemer, RB, 1984. A survey of computer simulation of hypothermia treatments, IEEE Trans. Bio-Med. Eng. 31 (1984), pp. 136–149.
  • Kleinman, AM, and Roemer, RB, 1983. A direct substitution, equation error technique for solving the thermographic tomography problem, J. Biomech. Eng.– Trans. ASME. 105 (1983), pp. 237–243.
  • Hartman, P, and Wintner, A, 1950. On the solutions of the equations of heat conduction, Am. J. Math. 72 (1950), pp. 367–395.
  • Stroock, DW, 1994. A Concise Introduction to the Theory of Integration. Boston: Birkhauser Boston, Inc.; 1994.
  • Cannon, JR, 1964. Determination of certain parameters in heat conduction, J. Math. Anal. Appl. 8 (1964), pp. 188–201.
  • Tikhonov, AN, and Samarskii, AA, 1963. Equations of Mathematical Physics. New York: Pergamon; 1963.
  • Brebbia, CA, Telles, JCF, and Wrobel, LC, 1984. Boundary Element Techniques: Theory and Applications in Engineering. Berlin: Springer-Verlag; 1984.
  • Lesnic, D, 2006. Post-Graduate Course on the Boundary Element Method. CCFD-5070. Centre for Computational Fluid Dynamics, University of Leeds; 2006.

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