Mathematical Modeling of Emission Tomography Problem

O. Klimenko (Russia)


emission tomography, transport equation


The mathematical model of emission tomography problem at the disk is discussed. Two problem formulation are considered. In the former case an interparticle collision is not considered. In the latter case the transport equation is considered with the integral term, and scattering properties of the medium are taken into account. Coefficient of absorption is taken to be known, sources function is unknown. Questions are investigated concerning the uniqueness and stability. The algorithms for determining the source density function are proposed.

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