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Combined Actions and Interactions of Chemicals in Mixtures

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should be estimated for all endpo<strong>in</strong>ts <strong>of</strong> concern. This implies that a TTD should be<br />

established for all relevant endpo<strong>in</strong>ts for each chemical us<strong>in</strong>g the same pr<strong>in</strong>ciples<br />

as used <strong>in</strong> the “normal” derivation <strong>of</strong> the RfD/ADI/TDI <strong>and</strong> that “hazard quotients”<br />

be calculated for the relevant effects <strong>of</strong> each chemical (for details see ATSDR<br />

2002).<br />

4.2.1.1 Weight-<strong>of</strong>-Evidence (WOE) modification to the hazard <strong>in</strong>dex<br />

The hazard <strong>in</strong>dex method does not <strong>in</strong>corporate <strong>in</strong>formation on <strong>in</strong>teractions among<br />

components <strong>of</strong> the mixture (ATSDR 2002). Mumtaz <strong>and</strong> Durk<strong>in</strong> (1992) proposed a<br />

weight-<strong>of</strong>-evidence (WOE) method to systematically address this need. The<br />

method was designed to modify the hazard <strong>in</strong>dex to account for <strong>in</strong>teractions, us<strong>in</strong>g<br />

the weight <strong>of</strong> evidence for <strong>in</strong>teractions among pairs <strong>of</strong> mixture components. Thus,<br />

the basic assumption is that pair wise <strong>in</strong>teractions will dom<strong>in</strong>ate <strong>in</strong> the mixture <strong>and</strong><br />

adequately represent all the <strong>in</strong>teractions. For example, if chemicals A <strong>and</strong> B<br />

<strong>in</strong>teract <strong>in</strong> a certa<strong>in</strong> way, the presence <strong>of</strong> chemical C will not cause the <strong>in</strong>teraction<br />

to be substantially different.<br />

It should be noted that experience with the method has revealed that it is ma<strong>in</strong>ly<br />

useful for a qualitative prediction as to whether the hazard may be greater or less<br />

than <strong>in</strong>dicated by the hazard <strong>in</strong>dex (ATSDR 2002).<br />

The method evaluates the data relevant to jo<strong>in</strong>t actions for each possible pair <strong>of</strong><br />

chemicals <strong>in</strong> the mixture <strong>in</strong> order to make qualitative b<strong>in</strong>ary weight-<strong>of</strong>-evidence<br />

(BINWOE) determ<strong>in</strong>ations for the effect <strong>of</strong> each chemical on the toxicity <strong>of</strong> every<br />

other chemical. Two BINWOEs are needed for each pair: one for the effect <strong>of</strong><br />

chemical A on the toxicity <strong>of</strong> chemical B, <strong>and</strong> another for the effect <strong>of</strong> chemical B<br />

on the toxicity <strong>of</strong> chemical A. The BINWOE determ<strong>in</strong>ation <strong>in</strong>dicates the expected<br />

direction <strong>of</strong> the <strong>in</strong>teraction, such as greater than additive, less than additive,<br />

additive, or <strong>in</strong>termediate. It scores the data qualitatively by us<strong>in</strong>g an alphanumeric<br />

scheme that takes <strong>in</strong>to account mechanistic underst<strong>and</strong><strong>in</strong>g, toxicological<br />

significance, <strong>and</strong> relevance <strong>of</strong> the exposure duration, sequence, bioassay, <strong>and</strong> route<br />

<strong>of</strong> exposure. The alphanumeric terms are f<strong>in</strong>ally converted <strong>in</strong>to a s<strong>in</strong>gle numeric<br />

score. The BINWOE evaluations should be target organ specific. A more detailed<br />

description <strong>and</strong> discussion has been provided by ATSDR (2002).<br />

4.2.2 Po<strong>in</strong>t <strong>of</strong> Departure Index (PODI)<br />

A scientifically more appropriate method <strong>of</strong> addition is summ<strong>in</strong>g the exposures <strong>of</strong><br />

each compound expressed as a fraction <strong>of</strong> their respective PODs <strong>in</strong>stead <strong>of</strong> the ADI<br />

or RfDs. These POD fractions (PODF) are reciprocals <strong>of</strong> the <strong>in</strong>dividual marg<strong>in</strong> <strong>of</strong><br />

exposures (MOE) <strong>of</strong> each compound. This approach sums the exposures to the<br />

compounds <strong>in</strong> terms <strong>of</strong> their relative potencies. In this example the ED10 (Table<br />

4.2.1) are used as PODs:<br />

PODI = 0.005 + 0.001 + 0.0004 + 0.002 = 0.0084 Risk units<br />

The PODI can be converted <strong>in</strong>to a “risk cup” unit by multiply<strong>in</strong>g by an appropriate<br />

group UF. For example, a group UF <strong>of</strong> 100 would result <strong>in</strong> a comb<strong>in</strong>ed risk <strong>of</strong> 0.84<br />

risk units.<br />

4.2.3 Toxicity equivalency factors (TEF)<br />

The TEF approach normalises exposures to common mechanism chemicals with<br />

different potencies to yield a total equivalent exposure (TEQ) to one <strong>of</strong> the<br />

chemicals, the “<strong>in</strong>dex compound”. TEFs are derived as the ratio <strong>of</strong> the POD <strong>of</strong> the<br />

<strong>in</strong>dex compound to that <strong>of</strong> each member <strong>in</strong> the group. The exposure to each<br />

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