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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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w R is the radiation weight<strong>in</strong>g factor for the radiation type R;<br />

m T (<strong>in</strong> grams) is the mass of the target organ T.<br />

The total committed equivalent dose to the target organ T from all the source organs S, over<br />

which the <strong>in</strong>troduced radionuclide is distributed, is given by the summation over source organs S:<br />

∑ = k∑U S∑<br />

SEE(T← S) R = k∑ US S R<br />

S R<br />

H T (50) = H(50)(T←S)<br />

S<br />

159<br />

Y R E Rw R AF(T ← S) R<br />

m T<br />

equation A.8<br />

The committed effective dose is calculated on the basis of the committed equivalent dose<br />

analogously to the expression <strong>in</strong> equation A.4:<br />

E(50)= ∑wTHT(50) T<br />

equation A.9<br />

The ICRP, <strong>in</strong> the Publication 61, provides an expression to evaluate the committed effective<br />

dose where a way to weight committed equivalent dose for the organs or tissues of the rema<strong>in</strong>der<br />

group is also given:<br />

12<br />

∑<br />

E(50) = wT HT (50) + wrema<strong>in</strong>der T = 1<br />

equation A.10<br />

where T rang<strong>in</strong>g from 1 to 12 represents the ma<strong>in</strong> organs of Table A.2, T rang<strong>in</strong>g from 13 to<br />

22 represents the ten rema<strong>in</strong>der organs with tissue weight<strong>in</strong>g factor w rema<strong>in</strong>der = 0.05 and m T is the<br />

respective mass.<br />

In those exceptional cases <strong>in</strong> which a s<strong>in</strong>gle one of the rema<strong>in</strong>der tissues or organs receives<br />

an equivalent dose <strong>in</strong> excess of the highest dose absorbed by any of the twelve ma<strong>in</strong> organs or<br />

tissues for which a weight<strong>in</strong>g factor is specified (Table A.2), half of w rema<strong>in</strong>der (0.025) must be<br />

applied to this tissue or organ and half of w rema<strong>in</strong>der to the average dose <strong>in</strong> the rest of the rema<strong>in</strong>der<br />

organs group. Therefore <strong>in</strong> such case the committed effective dose must be calculated as:<br />

12<br />

∑<br />

E(50) = wT HT (50) + 0.025<br />

T = 1<br />

22<br />

∑<br />

T =13<br />

equation A.11<br />

where T* relates to the organ or tissue of the rema<strong>in</strong>der group that has the highest<br />

committed equivalent dose <strong>in</strong> comparison to the ma<strong>in</strong> organs or tissues.<br />

22<br />

∑<br />

∑<br />

m T H T (50)<br />

T =13<br />

22<br />

∑ mT T = 13<br />

mT HT (50) − mT*HT*(50) 22<br />

m − m T T*<br />

+ 0.025HT*(50) ∑<br />

T=13

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