Gamma ray transport in the cardiac region: an inverse problem

Abstract We study an inverse problem for gamma ray transport in the cardiac region V=V 1 ∪V 2 ∪V 3 ⊂ R 3 . The inner region V 1 contains a known gamma ray source, V 2  models the heart walls, whereas V 3 is the region external to the heart and is where the photon far field is measured. Given a finite number of values of the photon far field detected within  V 3 , we show that the thickness  h of the heart walls can be evaluated.