Empirical Comparison of Pennes' Bio-Heat Equation

摘要

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.