Empirical comparison of Pennes' bio-heat equation

Luisiana X. Cundin; William P. Roach; Nancy Millenbaugh

doi:10.1117/12.805577

24 February 2009 Empirical comparison of Pennes' bio-heat equation

Luisiana X. Cundin, William P. Roach, Nancy Millenbaugh

Proceedings Volume 7175, Optical Interactions with Tissue and Cells XX; 717516 (2009) https://doi.org/10.1117/12.805577
Event: SPIE BiOS, 2009, San Jose, California, United States

Abstract

We solve a transient one-dimensional inhomogeneous Bio-Heat equation on a semi-infinite isotropic domain. The external source was modeled after Beer's law of deposition; the penetration depth was left arbitrary. The theoretical model is tested against experimental whole-body irradiation data. Pennes' thermal model correctly modeled the initial surface temperature rise, but experiment diverged from theoretical predictions after 30 minutes of exposure. Mortality statistics from a limited irreversibility study provided another means of comparison. All three major quartiles describing irreversibility are to be found well within the divergent space, where theory and experimental data diverge. Also, the mortality statistics seem to converge onto the divergence point.

Citation Download Citation

Luisiana X. Cundin, William P. Roach, and Nancy Millenbaugh "Empirical comparison of Pennes' bio-heat equation", Proc. SPIE 7175, Optical Interactions with Tissue and Cells XX, 717516 (24 February 2009); https://doi.org/10.1117/12.805577

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