Physiologically-based

Absorption, distribution, biotransformation, and excretion of chemical compounds have been discussed as separate phenomena. In reality all these processes occur simultaneously, and are integrated processes, i.e., they all affect each other. In order to understand the movements of chemicals in the body, and for the delineation of the duration of action of a chemical m the organism, it is important to be able to quantify these toxicokinetic phases. For this purpose various models are used, of which the most widely utilized are the one-compartment, two-compartment, and various physiologically based pharmacokinetic models. These models resemble models used in ventilation engineering to characterize air exchange. 

Physiologically based toxicokinetic models are nowadays used increasingly for toxicological risk assessment. These models are based on human physiology, and thus take into consideration the actual toxicokinetic processes more accurately than the one- or two-compartment models. In these models, all of the relevant information regarding absorption, distribution, biotransformarion, and elimination of a compound is utilized. The principles of physiologically based pharmaco/ toxicokinetic models are depicted in Fig. 5.41a and h. The... 

Physiologically Based Pharmacokinetic (PBPK)/Pharmacodynamic (PD) Models... 

Note This is a conceptual representation of a physiologically based pharmacokinetic (PBPK) model for a hypothetical chemical substance. The chemical substance is shown to be absorbed via the skin, by inhalation, or by ingestion, metabolized in the liver, and excreted in the urine or by exhalation. 

Andersen ME, Kirshnan K. 1994. Relating in vitro to in vivo exposures with physiologically based tissue dosimetry and tissue response models. In Salem H,ed. Animal test alternatives Refinement, reduction, replacement. New York, NY Marcel Dekker, Inc., 9-25. 

Andersen ME, Clewell HJ 3rd, Gargas ME, et al. 1987. Physiologically based pharmacokinetics and the risk assessment process for methylene chloride. Toxicol Appl Pharmacol 87 185-205. 

Krishnan K, Andersen ME, Clewell H 3rd, et al. 1994. Physiologically based pharmacokinetic modeling of chemical mixtures. In Yang R, ed. Toxicology of chemical mixtures. New York, NY Academic Press, 399-437. 

Leung H-W. 1993. Physiologically-based pharmacokinetic modelling. In Ballentine B, Marro T, Turner P, eds. General and applied toxicology. New York, NY Stockton Press, 153-164. 

Pharmacokinetic Model—A set of equations that can be used to describe the time course of a parent chemical or metabolite in an animal system. There are two types of pharmacokinetic models data-based and physiologically-based. A data-based model divides the animal system into a series of compartments which, in general, do not represent real, identifiable anatomic regions of the body whereby the physiologically-based model compartments represent real anatomic regions of the body. 

Physiologically Based Pharmacodynamic (PBPD) Model—A type of physiologically-based dose-response model which quantitatively describes the relationship between target tissue dose and toxic end points. These models advance the importance of physiologically based models in that they clearly describe the biological effect (response) produced by the system following exposure to an exogenous substance. 

Physiologically Based Phamiacokinetic (PBPK) Model—Comprised of a series of compartments representing organs or tissue groups with realistic weights and blood flows. These models require a variety of physiological information tissue volumes, blood flow rates to tissues, cardiac output, alveolar ventilation rates and, possibly membrane permeabilities. The models also utilize biochemical information such as air/blood partition coefficients, and metabolic parameters. PBPK models are also called biologically based tissue dosimetry models. 

KrishnanK, Andersen ME. 1994. Physiologically-based pharmacokinetic modeling in toxicology. In Wallace Hayes, ed. Principles and methods of toxicology. 3rd edition. New York, NY Raven Press, Ltd. 

Simulation methods have also been developed that include physiologically based pharmacokinetic modeling (PBPK) and methods such as Cloe PK, OMPPPlus, GastroPlus , SimCYP , and others [122] that are described elsewhere in this book. It is likely that the computational metabolism predictions could be integrated with these to assist in deriving more accurate predictions of human pharmacokinetic parameters. 

Ito K and Houston JB. Prediction of human drug clearance from in vitro and preclinical data using physiologically based and empirical approaches. Pharm Res 2005 22 103-12. 

Notice Approaches for the Application of Physiologically-Based Pharmacokinetic (PBPK) Models and Supporting Data in Risk Assessment E-Docket ID No. ORD-2005-0022. Fed Reg July 28, 2005 70 (144) 43692-43693. 

Rowland M, Balant L, Peck C. Physiologically based pharmacokinetics in drug development and regulatory science a workshop report (Georgetown University, Washington, DC, May 29-30, 2002). AAPS PharmSci 2004 6 E6. 

Nestorov lA, Aarons LJ, Rowland M. Physiologically based pharmacokinetic modeling of a homologous series of barbiturates in the rat a sensitivity analysis. / Pharmacokinet Biopharm 1997 25 413-47. 

What are called physiologically based pharmacokinetic (PBPK) and pharmacodynamic (PBPD) models are more mechanistically complex and often include more compartments, more parameters, and more detailed expressions of rates and fluxes and contain more mechanistic representation. This type of model is reviewed in more detail in Section 22.5. Here, we merely classify such models and note several characteristics. PBPK models have more parameters, are more mechanistic, can exploit a wider range of data, often represent the whole body, and can be used both to describe and interpolate as well as to predict and extrapolate. Complexity of such models ranges from moderate to high. They typically contain 10 or more compartments, and can range to hundreds. The increase in the number of flux relationships between compartments and the related parameters is often more than proportional to compartment count. 

Figure 22.1 A. Schema for a physiologically based pharmacokinetic model incorporating absorption in the stomach and intestines and distribntion to various tissues. B. Each organ or tissue type includes representation of perfusion (Q) and drug concentrations entering and leaving the tissue. Fluxes are computed by the product of an appropriate rate law, and permeable surface area accounts for the affinity (e.g., lipophilic drugs absorbing more readily into adipose tissue). Clearance is computed for each tissue based on physiology and is often assumed to be zero for tissues other than the gut, the liver, and the kidneys.

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