Plutonium Biokinetics in Human Body A. Luciani - Kit-Bibliothek - FZK
Plutonium Biokinetics in Human Body A. Luciani - Kit-Bibliothek - FZK
Plutonium Biokinetics in Human Body A. Luciani - Kit-Bibliothek - FZK
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deviates from the model’s prediction by less than a factor of two, the squared deviation is<br />
smaller than the absolute value of the deviation. Therefore it can be concluded that the target<br />
function F is particular sensitive to experimental data that are significantly far (more than two<br />
times) from model’s predictions.<br />
In order to quickly compare the behavior of the different target functions, the<br />
experimental data available <strong>in</strong> the previously presented studies [80, 89-94, 98-100] were<br />
compared with the theoretical predictions of the empirical curves for the ur<strong>in</strong>ary excretions<br />
[80, 105, 109, 111-116,] by calculat<strong>in</strong>g the values of the target functions. The results for each<br />
empirical curve are given <strong>in</strong> Table 3.1.1 ordered accord<strong>in</strong>g to the calculated values of the<br />
target functions.<br />
Table 3.1.1 Values of the target functions (L, F and A) calculated on the basis of the<br />
experimental data us<strong>in</strong>g different empirical curves..<br />
Empirical curve L Empirical curve F Empirical curve A<br />
Tancock and<br />
Taylor (1993)<br />
29 Tancock and<br />
Taylor (1993)<br />
86<br />
79 Tancock and<br />
Taylor (1993)<br />
Jones (1985) 30 Jones (1985) 116 Jones (1985) 66<br />
Leggett and<br />
Eckerman (1987)<br />
Park<strong>in</strong>son and<br />
Henley (1981)<br />
Khokhryakov<br />
(1994)<br />
Sun and Lee<br />
(1999)<br />
Robertson and<br />
Cohn (1964)<br />
34 Leggett and<br />
Eckerman (1987)<br />
44 Park<strong>in</strong>son and<br />
Henley (1981)<br />
45 Sun and Lee<br />
(1999)<br />
57 Khokhryakov<br />
(1994)<br />
61 Robertson and<br />
Cohn (1964)<br />
147<br />
197<br />
197<br />
230<br />
340<br />
Leggett and<br />
Eckerman (1987)<br />
Park<strong>in</strong>son and<br />
Henley (1981)<br />
Sun and Lee<br />
(1999)<br />
Khokhryakov<br />
(1994)<br />
Robertson and<br />
Cohn (1964)<br />
Langham (1950) 69 Langham (1950) 436 Langham (1950) 128<br />
Durb<strong>in</strong> (1972) 76 Durb<strong>in</strong> (1972) 508 Durb<strong>in</strong> (1972) 142<br />
It can be seen that all the target functions yield almost the same sequence of empirical<br />
curves. Only the order of Khokhryakov’s and Sun and Lee’s curves are <strong>in</strong>verted when L<br />
target function is used. This means that they agree <strong>in</strong> decid<strong>in</strong>g which empirical curve fits the<br />
experimental data best. However the ratios of the maximum by the m<strong>in</strong>imum values<br />
calculated for each target functions are significantly different: for functions L and A it is<br />
about 2.6, whereas for F it is more than 6. As previously announced, this means that the F<br />
target function can more efficiently detect discrepancies between experimental data and<br />
model calculations. Therefore the target function F was adopted to quantify the agreement<br />
among the experimental data, empirical curves and models predictions.<br />
55<br />
72<br />
89<br />
91<br />
93<br />
114