Abstract

In 1948, H.H. Pennes postulated that the effect of the temperature difference between the blood supply and the tissue acts as an energy sink term giving rise to the so-caled bi-heat conduction equation. This, in essence, is similar to the heat transfer fin equation where the sink term represents convective heat loss to the surroundings. In this talk, we investigate the identification of the variable blood perfusion coefficient in the transient bio-heat conduction equation. In this inverse coefficient identification problem the additional information sufficient to render a unique solution could be a boundary, internal or integral temperature measurement. Furthermore, stability of solution is achieved by mollification or Tikhonov’s regularization with a suitable choice of the regularization parameter.