Species differences models

Various functional forms for / have been proposed either as a result of empirical observation or in terms of specific models. A particularly important example of the latter is that known as the Langmuir adsorption equation [2]. By analogy with the derivation for gas adsorption (see Section XVII-3), the Langmuir model assumes the surface to consist of adsorption sites, each having an area a. All adsorbed species interact only with a site and not with each other, and adsorption is thus limited to a monolayer. Related lattice models reduce to the Langmuir model under these assumptions [3,4]. In the case of adsorption from solution, however, it seems more plausible to consider an alternative phrasing of the model. Adsorption is still limited to a monolayer, but this layer is now regarded as an ideal two-dimensional solution of equal-size solute and solvent molecules of area a. Thus lateral interactions, absent in the site picture, cancel out in the ideal solution however, in the first version is a properly of the solid lattice, while in the second it is a properly of the adsorbed species. Both models attribute differences in adsorption behavior entirely to differences in adsorbate-solid interactions. Both present adsorption as a competition between solute and solvent. 

Fig. 7 gives an example of such a comparison between a number of different polymer simulations and an experiment. The data contain a variety of Monte Carlo simulations employing different models, molecular dynamics simulations, as well as experimental results for polyethylene. Within the error bars this universal analysis of the diffusion constant is independent of the chemical species, be they simple computer models or real chemical materials. Thus, on this level, the simplified models are the most suitable models for investigating polymer materials. (For polymers with side branches or more complicated monomers, the situation is not that clear cut.) It also shows that the so-called entanglement length or entanglement molecular mass Mg is the universal scaling variable which allows one to compare different polymeric melts in order to interpret their viscoelastic behavior. 

In general, it is easier to use models such as these to predict the distribution of chemicals (i.e., relationship between exposure and tissue concentration) than it is to predict their toxic action. The relationship between tissue concentration and toxicity is not straightforward for a diverse group of compounds, and depends on their mode of action. Even with distribution models, however, the picture can be complicated by species differences in metabolism, as in the case of models for bioconcentration and bioaccumulation (see Chapter 4). Rapid metabolism can lead to lower tissue concentrations than would be predicted from a simple model based on values. Thus, such models need to be used with caution when dealing with different species. 

Behavior in humans as anticipated from preliminary testing in animal models, i.e., no untoward species differences... 

From an industrial perspective, quantitative knowledge of the existence of different transporters within the cellular system used in screening procedures is of major importance as it can influence both the predictive value of the permeability coefficients and interpretation of the results. In addition, information on species differences or similarities or discrepancies between cell culture models and animals now provide an important basis for the scaling of data during the early phases of drug discovery for animals or humans [48]. 

When applying any of these models it is crucial to understand the main transport mechanisms as well as the metabolic route and characterization of the activity of the transporter/enzyme involved. It is well recognized that the activities of carrier-mediated processes in Caco-2 cells are considerably lower than in vivo [20, 42, 48] therefore, it is crucial to extrapolate in vitro cell culture data to the in vivo situation with great care [18, 20, 42, 48], This is especially important when carrier-mediated processes are involved, as evidenced by a recent report which showed significant differences in gene expression levels for transporters, channels and metabolizing enzymes in Caco-2 cells than in human duodenum [48], If an animal model is used, then potential species differences must also be considered [18, 20, 45],... 

Species difference in SR Ca2+ release mechanisms — the ureter presents a natural transgenic model... 

Species differences must be considered when choosing a model and, in particular, species-specific immunological differences between the human and the test animal. For example, in humans, an anti-CD4 monoclonal antibody (MAb) will bind to CD4 expressed on monocytes, with subsequent fixing of complement and destruction of antigen-presenting cells. However, since CD4 molecules are not expressed on murine monocytes, these effects would not be evident in a murine model. 

Species Differences. Species differences in metabolism are amongst the principal reasons that there are species differences in toxicity. Differences in cytochrome P450 is one of the most common reasons for differences in metabolism. For example, Monostory et al. (1997) recently published a paper comparing the metabolism of panomifene (a tamoxifen analog) in four different species. These data serve to address that the rates of metabolism in the non-human species was most rapid in the dog and slowest in the mouse. Thus, one should not a priori make any assumptions about which species will have the more rapid metabolism. Of the seven metabolites, only one was produced in all four species. Both the rat and the dog produced the two metabolites (M5 and M6) produced by human microsomes. So how does one decide which species best represents humans One needs to consider the chemical structure of the metabolites and the rates at which they are produced. In this particular case, M5 and M6 were relatively minor metabolites in the dog, which produced three other metabolites in larger proportion. The rat produced the same metabolites at a higher proportion, with fewer other metabolites than the dog. Thus, in this particular instance, the rat, rather than the dog, was a better model. Table 18.8 offers a comparison of excretion patterns between three species for a simple inorganic compound. 

The PBPK model development for a chemical is preceded by the definition of the problem, which in toxicology may often be related to the apparent complex nature of toxicity. Examples of such apparent complex toxic responses include nonlinearity in dose-response, sex and species differences in tissue response, differential response of tissues to chemical exposure, qualitatively and/or quantitatively difference responses for the same cumulative dose administered by different routes and scenarios, and so on. In these instances, PBPK modeling studies can be utilized to evaluate the pharmacokinetic basis of the apparent complex nature of toxicity induced by the chemical. One of the values of PBPK modeling, in fact, is that accurate description of target tissue dose often resolves behavior that appears complex at the administered dose level. 

Excised nasal mucosae obtained from various animal species are tools frequently used to study nasal transport and metabolism ([53], Chap. 4). Maintaining the viability of the excised nasal tissues during the experimental period is crucial. Most studies were performed with epithelia excised from rabbits, bovine, sheep, and dogs tissues [54-57], This excised nasal tissue model has been shown to be well suited for studies on nasal permeation and metabolism of drugs. However, species differences in the activity of various enzymes found in human versus these animal nasal mucosae have become an important issue. 

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