An inverse coefficient identification problem for the bio-heat equation

Abstract

In this article, we investigate both analytical and numerical techniques for the identification of the constant perfusion coefficient in the transient bio-heat conduction equation. In this inverse coefficient identification problem, the additional measurement necessary to render a unique solution may be a heat flux, an interior temperature or an average temperature measurement at a single instant. Numerical results obtained using the boundary element method combined with an ordinary non-linear minimization are presented and discussed.