Gamma ray transport in the cardiac region: an inverse problem

We study an inverse problem for gamma ray transport in the cardiac region V = V1 ∪ V2 ∪ V3 ⊂ R3. The inner region V1 contains a known gamma ray source, V2 models the heart walls, whereas V3 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 V3, we show that the thickness h of the heart walls can be evaluated.  2002 Elsevier Science (USA). All rights reserved.