Membrane permeability modeling

THE CASE FOR THE IDEAL IN VITRO ARTIFICIAL MEMBRANE PERMEABILITY MODEL... 

The Ideal in vitro Artificial Membrane Permeability Model... 

The characteristics of membrane permeation are partition, including affinity, location, specific interaction with certain phospholipids, and diffusion kinetics. Because of the complex events involved during drug absorption in vivo, true membrane permeability modeling cannot always be expected. Therefore, many attempts have been made to develop suitable in vitro systems to study the permeation process and its dependence on membrane composition and drag physicochemical properties. 

Artificial Membrane Permeability Models Immobilized Artificial Membranes... 

Key Words barrier membrane, permeability, modeling, fast multipole-accelerated boimdary element method. 

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. 

L. B. Kier and C.-K. Cheng, A cellular automata model of membrane permeability. J. Theor. Biol. 1997, 186, 75. 

For ionizable molecules, the membrane permeability, P (Pc in cellular models), depends on pH of the bulk aqueous solution. The maximum possible Pm is designated Pq, the intrinsic permeabiUty of the uncharged species. For monoprotic weak acids and bases, the relationship between P and Pq may be stated in terms of the fraction of the uncharged species,, as Pm= Pofo, i-e. ... 

Ornskov, E.,. Gottfries, M. Erickson, S. Folestad. Experimental modelling of drug membrane permeability by capillary electrophoresis using liposomes, micelles and microemulsions./. Pharm. Pharmacol. 2005, 57, 435 2. 

It is well known that the permeabilities across biological membranes and model lipid bilayers strongly depend on both the degree of lipid chain packing in the membranes... 

FIG. 14 A model for the uptake of weakly basic compounds into lipid bilayer membrane (inside acidic) in response to the pH difference. For compounds with appropriate pki values, a neutral outside pH results in a mixture of both the protonated form AH (membrane impermeable) and unprotonated form A (membrane permeable) of the compound. The unprotonated form diffuse across the membrane until the inside and outside concentrations are equal. Inside the membrane an acidic interior results in protonation of the neutral unprotonated form, thereby driving continued uptake of the compound. Depending on the quantity of the outside weak base and the buffering capacity of the inside compartment, essentially complete uptake can usually be accomplished. The ratio between inside and outside concentrations of the weakly basic compound at equilibrum should equal the residual pH gradient. 

Based on this model of active mineral absorption, one can hypothesize several ways that allelochemicals could Inhibit mineral absorption (1) alter the PD, (2) Inhibit ATPases, (3) decrease cellular ATP content, and (4) alter membrane permeability to Ions. 

Kansy et al. [550] reported the permeability-lipophilicity relationship for about 120 molecules based on the 10% wt/vol egg lecithin plus 0.5% wt/vol cholesterol in dodecane membrane lipid (model 15.0 in Table 7.3), shown in Fig. 7.23. The vertical axis is proportional to apparent permeability [see Eq. (7.9)]. For log Kd > 1.5, Pa decreases with increasing log Kd. In terms of characteristic permeability-lipophilicity plots of Fig. 7.19, the Kansy result in Fig. 7.23 resembles the bilinear case in Fig. (7.19d). Some of the Pa values may be underestimated for the most lipophilic molecules because membrane retention was not considered in the analysis. 

The above iso-pH measurements are based on the 2% DOPC/dodecane system (model 1.0 over pH 3-10 range). Another membrane model was also explored by us. Table 7.16 lists iso-pH effective permeability measurements using the soy lecithin (20% wt/vol in dodecane) membrane PAMPA (models 17.1, 24.1, and 25.1) The negative membrane charge, the multicomponent phospholipid mixture, and the acceptor sink condition (Table 7.1) result in different intrinsic permeabilities for the probe molecules. Figure 7.40 shows the relationship between the 2% DOPC and the 20% soy iso-pH PAMPA systems for ketoprofen. Since the intrinsic permeability of ketoprofen in the soy lecithin membrane is about 20 times greater than in DOPC membrane, the flat diffusion-limited transport region of the log Pe... 

The in vitro measurements of permeability by the cultured-cell or PAMPA model underestimate true membrane permeability, because of the UWL, which ranges in thickness from 1500 to 2500 pm. The corresponding in vivo value is 30-100 pm in the GIT and nil in the BBB (Table 7.22). The consequence of this is that highly permeable molecules are (aqueous) diffusion limited in the in vitro assays, whereas the membrane-limited permeation is operative in the in vivo case. Correcting the in vitro data for the UWL effect is important for both GIT and BBB absorption modeling. 

Camenisch, G. Folkers, G. van de Waterbeemd, H., Shapes of membrane permeability-lipophilicity curves Extension of theoretical models with an aqueous pore pathway, Eur. J. Pharm. Sci. 6, 321-329 (1998). 

Bretag, A. H. (Ed.), Membrane Permeability Experiments and Models, Techsearch Inc., Adelaide, 1983. 

Although the pH-partition hypothesis and the absorption potential concept are useful indicators of oral drug absorption, physiologically based quantitative approaches need to be developed to estimate the fraction of dose absorbed in humans. We can reasonably assume that a direct measure of tissue permeability, either in situ or in vitro, will be more likely to yield successful predictions of drug absorption. Amidon et al. [30] developed a simplified film model to correlate the extent of absorption with membrane permeability. Sinko et al. [31] extended this approach by including the effect of solubility and proposed a macroscopic mass balance approach. That approach was then further extended to include facili-... 

Figure 3.6 compares iso-pH permeabilities of ketoprofen at various pH values in a 2% DOPC-dodecane model (open circles) and the 20% soy lecithin with SLS in the acceptor compartment (filled circles, data in Table 3.5). In the presence of the latter negatively charged lipids (with the make-up similar to that of BBM in Table 3.1), ketoprofen is intrinsically more permeable, by a factor of 17. The UWL limit, indicated by the solid curves in low-pH solutions, and consistent with the permeability Pu 19.8 x 10-6 cm s 1 (log Pu —4.7), masks the true intrinsic permeability of the membranes, P0. However, it is possible to deduce the membrane permeability if the pKa is known. In Fig. 3.6, the bending in the dashed (calculated) curves at pH 4 corresponds to the pKa of the molecule. Due to the UWL, the point of bending is shifted to higher pH values in the solid (measured) curves. The difference between the apparent pKa (pK 5.3 for DOPC and 6.3 for soy) and the true pKa (4.12) is the same as the difference between log P0 and log Pu [23],... 

For a series of renin inhibitors a good correlation between the measured membrane permeability and log D was found (r2 = 0.8). The model has been validated against a human perfusion model [10], as well as being extended by including molecular weight as a third parameter [27]. A further development of the model is to chronically cannulate the animals so that they can be allowed to recover [28]. This model should avoid any effects from the anesthetic on the absorption process. 

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