I found an equation that reads: SUV(t) = Activity concentration (t) / (Injected activity / Body weight ), which implies that the activity concentration is not decay corrected, is this true?
Good questions. Dosimetry for TRT has always been somewhat difficult and calculated absorbed dose values often don't correlate to expected clinical outcomes. You should to talk to Scott Perlman or Lance Hall in nuclear medicine at UW or Bruce Thomadsen. They will be great resources for your questions. On a national level, Pat Zanzonic (MSK), George Sgouros (Johns Hopkins) and John Roeske (Loyola) have written extensively on this topic. In my TRT book, look at chapters 8-10 (Zanzonico, Thomadsen, Roeske and others).
The SUV that displayed in PET was decay corrected from the injected time. For dynamic studies, the SUV displayed in PET for each frame are decay corrected automatically from the injection time. For multiple static scan, the decay corrected should be based on each start time of each frames.
SUV(t) = Activity concentration (t) / (Injected activity / Body weight) may mean two things, the activity concentration within a region of interest at time t decay corrected to injection time OR injected activity decay corrected to the image time t. Only one of the two should be decay corrected either the values within the image to injection time or the injected dose to image time. Both should hopefully give you the same SUV values.
I don't see where it is confusing. It is the activity distribution in the body normalized to the activity injected. The activity or image value is decay corrected!!!