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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

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