With any nuclear medicine you want the radiosotope to be present for the minimum time period possible.
Because the operation takes between 1 and 5 hours you do the operation, so that the radioisotope within that time.
The isotope dosage is adjusted so that within the time period of the use, the radisotope has a large enough dose to be detected. By the 5 hour mark, when the procedure is over the dosage will be reduced to the minimum level of usage that can still provide an effective image.
After the test is finished you want as low a value of isotope present as possible.
The determining factor for using the isotope is the biological half life. The time it takes the body to remove the radio-isotope. For liver and heart this is down near 1 hour for the procedure, so 2 hours for the body to remove it. Bone scans take 4 hours, so 5-6 to remove it.