Time evolution of the cumulated activity in human body is one of the k
ey characteristics determining medical impacts of ionizing radiation.
In nuclear medicine, so called effective half-life is mostly used for
describing the evolution. This quantity is usually estimated by fittin
g a straight line in semi-logarithmic coordinates. Its novel Bayesian
estimate was also proposed and its advantageous properties were verifi
ed. During extensive tests, it was found that the effective half-life
has limited use as the underlying deterministic relationship time-acti
vity can hardly be taken as (mono)exponential. It stimulated the searc
h for a better and still simple model. A quadratic dependence of in (a
ctivity) on in (time) was found as an adequate candidate. Preliminary
experiments on a restricted set of real data were promising enough to
justify its further elaboration. The paper reports on the progress mad
e in verifying and exploiting this non-standard model. Its potential e
xploitation in dosimetric tasks is outlined. The core of the paper des
cribes a positive verification of our results on an extensive set of r
eal data.