A variety of medical image reconstruction methods are very relevant to cancer research and diagnosis. Prime examples are: [Positron Emission Tomography (PET)][1], [CT][2], [MRI][3], etc., and all of these depend on solutions to inverse problems to reconstructing an image given physical measurements. 


  [1]: http://en.wikipedia.org/wiki/Positron_emission_tomography
  [2]: http://en.wikipedia.org/wiki/Computed_tomography
  [3]: http://en.wikipedia.org/wiki/Magnetic_resonance_imaging