Biokinetic model of radium in humans and beagles

A compartmental model of the distribution of radium in humans and young adult beagle dogs (approximately 500-550 d) is presented. The model consists of one soft tissue compartment and seven skeletal compartments for humans, and five skeletal compartments for beagles. The number of transfer parameters to be estimated was reduced by using remodeling rates of bone and imposing several constraints deduced from known features of bone physiology, radium metabolism, and autoradiographic analyses. The model predictions are in good agreement with measured retentions in plasma, whole body, skeleton, and soft tissues of both species. Moreover, for beagles even the retention in individual bones can be predicted quite well if the relevant morphometric parameters are known. While some of the estimated transfer parameters are similar in both species, others differ by an order of magnitude or more. Wherever possible, a comparison of model parameters with those of previous models is given. The new model not only is instrumental for calculating local doses in the skeleton but also can be used for characterizing the microdistribution of radium in this organ.

Hits to bone cell nuclei from nonuniform radioactive labels

The stochastic aspects of alpha-particle traversals through nuclei of bone-lining cells from nonuniform radioactive labels are worked out. Both the residence time of the target and the hit rate are considered random variables. It is shown that with any type of bone remodeling the fraction of cells not hit increases with increasing nonuniformity of the label concentration. Thus, a completely uniform concentration represents the most dangerous situation. A possible negative correlation between residence times and hit rates, observed in some experiments, tends to decrease the probability of alpha-particle hits. As a practical application, the theory is applied to the International Commission on Radiological Protection model of the distribution of 239Pu in the human body. In the case of 50 years of chronic ingestion of 1 annual limit of intake (ALI) per year for class W and chronic inhalation of 1 ALI/year for class Y compounds, more than 19.4 and 8.5% of the nuclei of bone-lining cells are traversed by at least one alpha-particle, respectively.