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Identification of the blood perfusion coefficient

Presented by: 
D Lesnic
Date: 
Tuesday 6th December 2011 - 14:00 to 15:00
Venue: 
INI Seminar Room 2
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.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons