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Toxicology of Industrial Compounds

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most processes in the mammalian body have been shown to be<br />

proportional to the body weight <strong>of</strong> the animal (Adolph, 1949; Calabrese,<br />

1983; Peters, 1983; Chappell and Mordenti, 1991) and can be related by<br />

allometry, a word from the Greek meaning the measurement (metry) <strong>of</strong><br />

changing size (allo). It has been shown that blood flow, organ size,<br />

metabolic and respiratory rate, and many other physiological and<br />

anatomical variables are related by the general allometric equation<br />

(Boxenbaum, 1982b):<br />

(4.1)<br />

where Y is the function to be measured, W the body weight <strong>of</strong> the animal,<br />

a the coefficient and b the exponent. For mammals, whilst a is different for<br />

each function, b is approximately 0.6–0.8 for rates, flows and clearances, 1.<br />

0 for volumes and organ sizes, and 0.25 for cycles and times. Thus<br />

metabolic rate can be calculated from 7.0·W 0.75 , liver blood flow from<br />

37·W 0.85 , blood weight from 0.055·W 0.99 , and respiratory rate from 0.<br />

019·W 0.26 . Since the blood flows and the weights <strong>of</strong> the liver and kidney,<br />

the two major organs <strong>of</strong> elimination, can be similarly allometrically scaled,<br />

it follows that the same formula could in principle be used for<br />

extrapolation <strong>of</strong> the clearance <strong>of</strong> chemicals between species.<br />

In the past there has been much discussion on the possibility <strong>of</strong><br />

predicting human kinetics and distribution from animal data, using<br />

allometry. For industrial chemicals relatively complex physiological models<br />

have been constructed using this knowledge <strong>of</strong> relative blood flows and<br />

organ size to predict what levels <strong>of</strong> exposure could be expected in man<br />

(Andersen et al., 1984), but little work has been published on comparative<br />

interspecies clearances which will dictate the circulating levels. For drugs,<br />

on the other hand, a number <strong>of</strong> reports have been published on the<br />

rationale for the use <strong>of</strong> allometric scaling <strong>of</strong> kinetics (Dedrick, 1973;<br />

Boxenbaum, 1982b, 1984, 1986; Mordenti, 1985, 1986; Sawada et al.,<br />

1985; Chappell and Mordenti, 1991) but many have been concerned with<br />

its theoretical aspects rather than with its practical use for prediction.<br />

When scaling has been used, the predictions have not always been<br />

accurate, and the method has therefore not had wide usage. This is<br />

unfortunate since the ability to predict what will be the blood levels in man,<br />

without the need to administer the compound, can potentially have many<br />

advantages in drug development and in the safety testing <strong>of</strong> industrial<br />

chemicals where dosing volunteers is <strong>of</strong>ten unacceptable.<br />

Methods<br />

D.BRUCE CAMPBELL 45<br />

A meta-analysis <strong>of</strong> the papers related to this subject has been made from<br />

those published over the last 20 years. Data before this have largely been<br />

rejected due to the poor design <strong>of</strong> the studies or lack <strong>of</strong> analytical

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