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Plutonium Biokinetics in Human Body A. Luciani - Kit-Bibliothek - FZK

Plutonium Biokinetics in Human Body A. Luciani - Kit-Bibliothek - FZK

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The comparison of model’s predictions with the available measurements po<strong>in</strong>ts out<br />

that the experimental data for the ur<strong>in</strong>ary excretion of <strong>Plutonium</strong> are fitted quite well, up 1000<br />

days post <strong>in</strong>take, by the central curve represent<strong>in</strong>g the mean <strong>Plutonium</strong> ur<strong>in</strong>ary excretion for a<br />

population of subjects characterized by different <strong>Plutonium</strong> biok<strong>in</strong>etics. At <strong>in</strong>termediate time<br />

(about 2,000 days post <strong>in</strong>take) the measurements are characterized by an enhancement of the<br />

excretion that is at the limit of the confidence <strong>in</strong>terval for the 16 th and 84 th percentiles. F<strong>in</strong>ally,<br />

at 6,000 days post <strong>in</strong>take, the measurements for the ur<strong>in</strong>ary excretion of <strong>Plutonium</strong> are on<br />

average out of the confidence <strong>in</strong>terval for the 16 th and 84 th percentiles and at the limits of the<br />

confidence <strong>in</strong>terval for the 1 st and 99 th percentiles.<br />

This seems to po<strong>in</strong>t out that it can be still theoretically possible to f<strong>in</strong>d a comb<strong>in</strong>ation<br />

of transfer rates, <strong>in</strong> the range of the values represent<strong>in</strong>g possible <strong>in</strong>ter-subject differences, that<br />

can describe the observed trend of <strong>Plutonium</strong> ur<strong>in</strong>ary excretion measurements observed for<br />

the subject here analyzed.<br />

3.2.5.2 The research of the best fitt<strong>in</strong>g <strong>in</strong>dividual parameters<br />

The search of which transfer rates and the evaluation of those values that could expla<strong>in</strong><br />

the <strong>Plutonium</strong> ur<strong>in</strong>ary excretion of the <strong>in</strong>vestigated subject was performed by comply<strong>in</strong>g with<br />

a ma<strong>in</strong> constra<strong>in</strong>t: only transfer rates values <strong>in</strong> the range that turned out to be representative<br />

for <strong>in</strong>ter-subject biok<strong>in</strong>etic differences were considered. In fact the assumption of a<br />

particularly great, or small, value for certa<strong>in</strong> specific transfer rates could easily generate<br />

almost whatever desired trend for the activity distribution of <strong>Plutonium</strong> <strong>in</strong> the compartments<br />

of the model. However if the assumed value of the transfer rate is out of the realistic range of<br />

values expected consider<strong>in</strong>g the possible differences <strong>in</strong> the <strong>in</strong>dividual biok<strong>in</strong>etics, it should be<br />

concluded that the model can not describe the radionuclide metabolism <strong>in</strong> this specific<br />

subject. Therefore extensive modification of the model should be considered.<br />

For the purpose of the present paragraph the results of the sensitivity analysis for<br />

<strong>Plutonium</strong> biok<strong>in</strong>etics performed <strong>in</strong> the paragraph 3.1.5.3 were extensively applied.<br />

The transfer rates determ<strong>in</strong><strong>in</strong>g <strong>Plutonium</strong> ur<strong>in</strong>ary excretion specifically at long time<br />

with a scarce importance for the excretion at shorter time were firstly considered because they<br />

are the best candidates for simulat<strong>in</strong>g a long-term enhancement of <strong>Plutonium</strong> ur<strong>in</strong>ary<br />

excretion. On the basis of the sensitivity analysis performed for the systemic and the<br />

respiratory tract transfer rates, type S, (Figure 3.1.22 and Figure 3.1.26), the lead<strong>in</strong>g<br />

parameters are:<br />

• for the systemic model: The transfer from the Liver 2 compartment; the transfer from<br />

blood to the ST2 soft tissue compartment; the cortical remodell<strong>in</strong>g rate;<br />

• for the respiratory tract model: The clearance from the alveolar-<strong>in</strong>terstitial compartments.<br />

These transfer rates were modified on the basis of the results of the sensitivity analysis<br />

<strong>in</strong> order to generate always an enhancement of the ur<strong>in</strong>ary excretion. Therefore the transfer<br />

rates for which an <strong>in</strong>crease of the value causes an enhancement of <strong>Plutonium</strong> excretion (i.e.<br />

with a positive sensitivity coefficient S i) were <strong>in</strong>creased, whereas those for which an <strong>in</strong>crease<br />

of the value causes a dim<strong>in</strong>ution of <strong>Plutonium</strong> excretion (i.e. with a negative sensitivity<br />

coefficient S i) were decreased.<br />

Quantitatively the modification of the value of such transfer rates was carried out<br />

respect<strong>in</strong>g the constra<strong>in</strong>t presented at the beg<strong>in</strong>n<strong>in</strong>g of the paragraph. The systemic transfer<br />

rates were <strong>in</strong>creased or decreased by multiply<strong>in</strong>g or divid<strong>in</strong>g them by a factor 3. As the<br />

uncerta<strong>in</strong>ty analysis showed that the variation range of the systemic transfer rates can be<br />

realistically described by a lognormal distribution with a GSD = 1.75, the variation by a factor<br />

149

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