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Toxicology of Industrial Compounds

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N.FEDTKE 171<br />

PBPK models are based on the blood and tissue solubility <strong>of</strong> chemicals,<br />

their metabolism in various tissues and the physiology <strong>of</strong> the organism,<br />

thus incorporating the specific physiological description <strong>of</strong> animal species as<br />

well as specific physico-chemical descriptions <strong>of</strong> agents. Uptake,<br />

distribution, metabolism and excretion are described in physiologically<br />

realistic compartments (tissue groups) using computer simulation. The<br />

compartments are linked in parallel, represent the actual mammalian<br />

architecture, and include tissues such as lung and arterial blood, fatty<br />

tissue, poorly perfused tissues (muscles, skin), richly perfused tissues<br />

(brain, kidneys, heart, endocrine gland, gastro-intestinal tract), liver as the<br />

main metabolizing tissue, and mixed venous blood. The compartments are<br />

connected by arterial and venous blood flow and are characterized by a set<br />

<strong>of</strong> mass balance differential equations. The rate constants that describe the<br />

flow <strong>of</strong> material between the tissue groups and the rate <strong>of</strong> change in the<br />

chemical concentration <strong>of</strong> each compartment are proportional to blood<br />

flow, tissue solubility and compartment volumes. The basic mathematical<br />

description <strong>of</strong> a PBPK model for a volatile compound has been provided by<br />

Ramsey and Andersen (1984) and additional details may be found in<br />

appendices <strong>of</strong> manuscripts dealing with the development <strong>of</strong> PBPK models.<br />

Estimation <strong>of</strong> the constants used in PBPK models may be based on the<br />

literature in the case <strong>of</strong> physiological parameters such as ventilation rates,<br />

cardiac output, blood flow to tissues and tissue volumes. The EPA has<br />

compiled reference values for these parameters and their scaling (Arms and<br />

Travis, 1988). Chemical specific parameters such as blood and tissue<br />

solubilities may be determined from in vitro preparation (Sato and<br />

Nakajima, 1979; Gargas et al., 1989). The biochemical constants for<br />

metabolism may be derived from in vitro studies (Reitz et al. 1988;<br />

Carfagna and Kedderis, 1992; Johanson and Filser, 1993), in vivo<br />

toxicokinetic studies (Potter and Tran, 1993; Frederick et al., 1992) or in<br />

the case <strong>of</strong> volatile substances from gas uptake studies (Gargas et al., 1986,<br />

1990; Filser, 1992).<br />

Since the tissue groups have a defined biological meaning, scaling <strong>of</strong> the<br />

associated parameters between species is possible since many <strong>of</strong> the<br />

parameters used are correlated to body weight. Cardiac output, alveolar<br />

ventilation rate and V max are scaled by the 3/4 power <strong>of</strong> body weight<br />

whereas K m is assumed to be constant across species. However, the<br />

substitution <strong>of</strong> the physiological parameters with the appropriate values<br />

characteristic for the species <strong>of</strong> interest is preferred.<br />

The development <strong>of</strong> PBPK models is an iterative process involving<br />

comparison <strong>of</strong> the model simulations with experimental data and<br />

refinement <strong>of</strong> the estimates when the model fails to accurately predict the<br />

kinetic behaviour. Different exposure scenarios can be used to predict the<br />

concentrations <strong>of</strong> the parent chemical or its metabolites in the blood or the<br />

tissues, which are the target <strong>of</strong> toxic effects. The level <strong>of</strong> glutathione

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