DMD Simcyp

Home Help [Feedback] [For Subscribers] [Archive] [Search] [Contents]
 QUICK SEARCH:   [advanced]


     


This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Submit a response
Right arrow Alert me when this article is cited
Right arrow Alert me when eLetters are posted
Right arrow Alert me if a correction is posted
Services
Right arrow Similar articles in this journal
Right arrow Similar articles in PubMed
Right arrow Alert me to new issues of the journal
Right arrow Download to citation manager
Citing Articles
Right arrow Citing Articles via HighWire
Right arrow Citing Articles via Google Scholar
Google Scholar
Right arrow Articles by Haenen, B.
Right arrow Articles by van Eijkeren, J.
Right arrow Search for Related Content
PubMed
Right arrow PubMed Citation
Right arrow Articles by Haenen, B.
Right arrow Articles by van Eijkeren, J.

Vol. 30, Issue 3, 307-313, March 2002


Utility of Rat Liver Slices to Estimate Hepatic Clearance for Application in Physiologically Based Pharmacokinetic Modeling: A Study with Tolbutamide, a Compound with Low Extraction Efficiency

Bert Haenen, Cathy Rompelberg, Klaas van Twillert, Martin Hamzink, Jan Dormans, and Jan van Eijkeren

Laboratory of Exposure Assessment and Environmental Epidemiology (B.H., C.R., K.v.T., M.H., J.v.E.) and Laboratory for Pathology and Immunobiology (J.D.), National Institute of Public Health and the Environment, Bilthoven, The Netherlands


    Abstract
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References

Liver slice experiments were performed to determine the slice intrinsic clearance and to extrapolate this to the in vivo liver intrinsic clearance in a physiologically based pharmacokinetic (PBPK)-like approach. Precision-cut liver slices were incubated with different initial concentrations of tolbutamide, and the time series of parent and metabolite concentrations were measured in slice and incubation medium. A mathematical model was built that modeled the uptake of tolbutamide and its metabolism in the liver slice. In addition, binding of tolbutamide to cellular constituents and partition over the water and lipid phase were accounted for by the model. Model analysis imposed sampling of parent compound in slice and of metabolites pooled from slice and medium. The model was calibrated to the data, fitting the intrinsic clearance, the parent compounds' free fraction in liver material, and a diffusion parameter describing medium-slice exchange of tolbutamide. In addition, to ensure a meaningful application of the theoretical model, slice viability parameters were monitored before and during the experiment. For the different incubations, the intrinsic clearance per unit of volume of slice ranged from 0.035 to 0.086 min-1 when not correcting for slice viability and from 0.044 to 0.11 min-1 when correcting for slice viability. The results were extrapolated to a PBPK model for tolbutamide in the rat. The value for the intrinsic clearance found by calibrating the PBPK model to previous in vivo data was 0.090 min-1. This result suggests that liver slices are a valuable tool for predicting in vivo intrinsic clearance of low-extraction compounds.


    Introduction
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References

In the past decade, precision-cut liver slices have been successfully used as an in vitro model for biotransformation (Dogterom and Rothuizen, 1993; Ball et al., 1996; Hashemi et al., 1999), hepatotoxicity (Wormser et al., 1990; Miller et al., 1993), and enzyme induction studies (Lake et al., 1997) in a variety of animal species. Important determinants in this successful application of liver slices are undoubtedly the maintenance of normal tissue architecture, cell heterogeneity, and cell-cell communications within the livers' original tissue matrix.

However, a drawback of liver slices often addressed in studies predicting rates of metabolism is their diffusional limitations (Ekins et al., 1995; Worboys et al., 1997). The outer cell layers of liver slices are directly exposed to incubation media; however, the inner cell layers are only exposed to the test compound when it has traveled through or around the outer cell layers. This phenomenon has been visualized using a fluorescent dye (Ekins et al., 1995). Diffusional limitations have often led to underevaluation of in vivo intrinsic clearance rates when liver slice data are normalized for hepatocellularity (Worboys et al., 1996a,b).

These problems, however, can be counteracted when appropriate modeling of in vitro data is incorporated in the prediction strategy. In this respect, it is important to note that Worboys et al. (1997) assessed drug metabolism in rat liver slices by analyzing experimental data with a classical one-compartment model. However, the liver slice model consists of two physically different phases (i.e., slice and surrounding incubation medium), and hence, a two-compartment model seems more appropriate. In contrast to other liver slice models designed to predict rates of metabolism we developed a model that consists of a physicochemical part, a mathematical part, and an observable part. Our liver slice model takes into consideration processes of transport, partitioning, and elimination of drug and/or its metabolites, which leads to the identification of the ultimate parameter: the slice metabolic rate constant CLs.1 The development of our rat liver slice model can be seen as a first step to improve the applicability of PBPK models for human risk analysis.

We present here the experimental validation of our model approach by using tolbutamide as model compound that is metabolized by rat liver slices into hydroxytolbutamide and carboxytolbutamide. To test the validity of our model approach, we extrapolated our in vitro data to an existing PBPK model for tolbutamide in the rat (Sugita et al., 1982).



    Materials and Methods
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References

Chemicals. Tolbutamide and chloropropamide were obtained from Sigma Chemical Co. (Zwijndrecht, The Netherlands). Hydroxytolbutamide and carboxytolbutamide were purchased from Brunschwig (Amsterdam, The Netherlands). Testosterone (4-androsten-17beta -ol-3-one), 4-androsten-11beta ,17beta -diol-3-one, 4-androsten-2alpha , 4-androsten-6beta , 4-androsten-7alpha , 4-androsten-16alpha , 4-androsten-16beta , and 4-androstene-3beta ,17beta -dione were obtained from Steraloids (Wilton, NH). Williams' medium E (WME) supplemented with Glutamax I was bought from Invitrogen (Paisley, Scotland). All other chemicals and solvents were of analytical and HPLC grade, respectively.

Animals. Adult male Wistar (HsdCpb:WU) rats (230-300 g) were obtained from Harlan CPB (Zeist, The Netherlands). Animals were allowed free access to water and food (Hope Farms, Woerden, The Netherlands).

Slice Preparation. The preparation of liver slices was performed according to a standard operating procedure. Animals were anesthetized by asphyxiation by means of CO2/O2, and the livers were excised and weighed. The liver was placed on a silicon support and liver cores (approximately 9 mm in diameter) were made by means of a drilling machine. Precision-cut liver slices were prepared in ice-cold WME saturated with 95% O2, 5% CO2 (carbogen) by using a Krumdieck tissue slicer (Munford, AL). Slice thickness was checked intermittently by eye. The slicer was disassembled and cleaned between experiments.

Slice Incubation. Only intact slices, round or oval, were used. Three liver slices (each slice from a different rat liver) were put on a stainless steel insert (Vitron, Tucson, AZ), placed in a scintillation vial containing 2.8 ml (optimal volume for these vials) of prewarmed (37°C) and pregassed (carbogen) WME. Regarding the intended incubation time (a few hours, maximally), slices were not continuously gassed with carbogen. Instead, before transfer of the vial into the roller incubator the void space of the vial was saturated with carbogen. Vials were rotated in a prewarmed (37°C) roller incubator at 2 rpm.

After incubation, the vials were transferred to ice. Slices (except those for histomorphology) were removed from the wire mesh, gently dried on filter paper, and transferred to 2.8 ml of ice-cold WME. Slices were disrupted by sonification for 15 min (Branson sonifier 250; Branson, Danbury, CT) on crushed ice.

Liver Slice Model. A detailed description of the liver slice model is depicted in van Eijkeren (2002). The main characteristics are briefly summarized. The liver slice model consists of three models: a physicochemical model (describing the slice experiment), a (mathematical) system model, and an observable model (Fig. 1). The model was built together with a set of eight model parameters: the initial concentration (Cm,0) of the parent compound; medium volume (Vm) and slice volume (Vs); the diffusion coefficient for parent drug (D); the free fractions in incubation medium and slice for parent compound (fm, fs), respectively; the octanol-water-based liver slice/culture medium partition (P<UP><SUB>sm</SUB><SUP>ow</SUP></UP>); and the parameter of interest, CLs. Mass balance equations, expressed in amounts of drug in medium and slice (Am, As) and amount of metabolites (Am), lead to a compartmental system model together with its system parameters (Fig. 1, bottom left). Transfer of drug between medium and slice is represented by the transfer coefficients dm and ds, whereas metabolism is represented by the coefficient ks. These system parameters derive from the parameters of the physicochemical model. The mathematical solutions to the compartmental system model for the time courses of the amount of drug in medium and slice and the amount of metabolites are the observable models (i.e., these amounts can be sampled during an experiment). The observable model for parent compound in liver slice and its observable parameters (gamma 1, gamma 2, and sigma ) is depicted in Fig. 1, bottom right. It shows observations of parent compound in slice from a simulated experiment (*), from which the initial (gamma 1) and terminal (gamma 2) phase rates and concentration scaling (sigma ) can be identified [e.g., by fitting the analytical solution (straight line)]. These observable parameters derive from the system parameters. The liver slice intrinsic clearance of tolbutamide was calculated by means of a mathematical model with the ACSL Math package (www.inpol.com/acsl), as described by J. van Eijkeren (2002).


View larger version (21K):
[in this window]
[in a new window]
 
Fig. 1.   Overview of the liver slice model and its model parameters.

On top of the figure the physicochemical model is depicted. The model was built together with a set of eight model parameters. For an explanation, see Liver Slice Model under Materials and Methods. Mass balance equations, expressed in amounts of drug in medium and slice (Am, As) and amount of metabolites (Am), lead to a compartmental system model together with its system parameters (bottom left). The meaning of the coefficients can be found under Materials and Methods. The mathematical solutions to the compartmental system model for the time courses of the amount of drug in medium and slice and the amount of metabolites are the observable models (i.e., these amounts can be sampled during an experiment). The observable model for parent compound in liver slice and its observable parameters is depicted on the bottom right. It shows observations of parent compound in slice from a simulated experiment (*), from which the initial (gamma 1) and terminal (gamma 2) phase rates and concentration scaling (sigma ) can be identified (straight line). These observable parameters derive from the system parameters (van Eijkeren, 2002).

Kinetic Profiles for Tolbutamide Metabolism. Three slices per vial were incubated with 40, 90, 125, and 170 µM tolbutamide (CP,m,0) in 2.8 ml of WME (Vm). These concentrations are actual concentrations and were approximately 85% of the intended concentrations of 50, 100, 150, and 200 µM, respectively. The amount of tolbutamide, including metabolized tolbutamide, remained constant during the incubation (Fig. 2). Because the loss of tolbutamide is constant in all stock solutions, glass adherence of tolbutamide is a likely explanation for this phenomenon. Because the highest concentration was approximately 30% of the Michaelis constant calculated by Worboys et al. (1995), metabolism was assumed to be linear. Samples of slice and medium were taken separately at 0, 2, 4, 6, 8, 10, 20, 30, 40, 50, and 60 min after incubation and stored at -20°C. Samples were analyzed for parent compound (tolbutamide) and metabolites (hydroxy- and carboxytolbutamide) by means of a validated, slightly modified HPLC method according to Back et al. (1984). Two-milliliter aliquots of incubation medium or liver slice homogenate were extracted with a mixture of diethyl ether/dichloromethane/iso-propanol in a 60:40:1 ratio (v/v). After evaporation of the organic layer, the residue is dissolved in eluents (acetonitrile and H2O/H3PO4, pH 2.7; 1:2.4). Tolbutamide and its metabolites were separated on a Gilson 307 HPLC by an isocratic method.


View larger version (11K):
[in this window]
[in a new window]
 
Fig. 2.   Time course in amount of tolbutamide in incubation medium.

Data and fits for the four different incubations: 40 µM (×), 90 µM (+), 125 µM (open circle ), and 170 µM tolbutamide (*).

Slice Characterization.

Determination of Vs To this end, the slice wet weight was determined. Fifteen representative slices of each rat liver were selected by eye and transferred to prewarmed (37°C) WME and incubated for 10 min at 37°C. After this, the slices were dried on filter paper and weighed. By dividing the slice wet weight by 1.04 g/cm3 (i.e., the specific gravity of human liver) (ICRP, 1992), the liver slice volume (Vs) was calculated. By doing so, it was assumed that the specific gravity of human and rat liver is similar.

Slice Viability. The viability of tolbutamide-treated slices was assessed histologically by evaluating the eosinophilic staining of the cytoplasm as well as the detached location of cells. Slices were incubated for different lengths of time with tolbutamide (40-170 µM). After incubation, slices were fixed in 4% phosphate-buffered formaldehyde. After dehydration and embedding of liver slices in paraplast, 5-µm sections were made and stained with hematoxylin-eosin. Slice thickness in cross sections was determined at a minimum of five sites of the slice by means of an interactive image analysis system (IBAS 2000; Kontron, Munich, Germany). In addition, in these sections the number of total cell layers and nonvital cell layers was determined.

Determination of fP,m. Although this parameter was set to 1 due to the omission of protein in the incubation medium, this assumption was validated by characterizing both slices and incubation medium for protein content (Lowry et al., 1951). Because tolbutamide is an acidic drug that is highly bound primarily to the albumin fraction of plasma protein (Judis, 1972), the albumin content of slices and incubation medium was also assessed (Doumas et al., 1971).

Biotransformation Capacity. To this end, liver slices were incubated for 1 h with 250 µM testosterone after different times of preincubation (0-4 h). The amount of metabolites formed was determined by HPLC according to van't Klooster et al. (1993).



    Results
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References

Determination of Vs. The slice volume in the different tolbutamide experiments can be summarized as follows (mean ± S.D.): 13.2 ± 5.0 mm3 (40 µM TOL), 15.2 ± 3.5 mm3 (90 µM TOL), 20.1 ± 4.0 mm3 (125 µM TOL), and 19.2 ± 5.4 mm3 (170 µM TOL). The thickness of the liver slices (mean ± S.D.; n = 60) was 259 ± 54 µm and the mean thickness of one cell layer was calculated to be 15 µm.

Slice Viability. This was evaluated both as function of time and of tolbutamide concentration and the results are shown in Table 1. Tolbutamide did not affect the number of nonvital cell layers. However, as the experiment progressed, a slight increase in the number of nonvital cell layers was observed at 40 and 60 min of incubation. At these time points, a disconnected line of nonvital cells was observed on both sides of the slice, whereas at earlier time points, the nonvital cells still formed part of the slice core.

                              
View this table:
[in this window]
[in a new window]
 

TABLE 1
Mean number of nonvital cell-layers as a function of time and as a function of tolbutamide concentration

Determination of fm. The amount of protein leakage from liver slices was maximally 3 to 4% of the total amount of cellular protein. Approximately one-half of the protein leakage was accounted for by albumin (data not shown). Considering the coefficient of variation of maximally 10% for our HPLC method, the observed protein leakage most probably had no measurable consequences for the free fractions of tolbutamide and its metabolites.

Determination of P<UP><SUB>sm</SUB><SUP>ow</SUP></UP>. The octanol-water-based partition between liver slice and medium for tolbutamide has been estimated, based on an algorithm for predicting partition coefficients from octanol-water partition coefficient data (Poulin and Krishnan, 1995). This algorithm requires the water and lipid contents of rat liver tissue as a fraction of tissue weight (0.7 and 0.06, respectively; Poulin and Krishnan, 1995) and the subdivision of lipids in phospholipids and neutral lipids (0.42 and 0.58, respectively, as fraction of total lipids; Poulin and Krishnan, 1995). The water content of culture medium was estimated to be 1. Taking the log (Kow) value to be the log (D)7.4 = 0.52 value for tolbutamide presented in Worboys et al. (1997), this algorithm yields a value of P<UP><SUB>sm</SUB><SUP>ow</SUP></UP> = 0.858.

Biotransformation Capacity. The metabolism of testosterone by liver slices after different times of preincubation is depicted in Fig. 3. Increasing the preincubation time, a slight but consistent reduction in metabolic capacity was observed. Therefore, because reliable measurement of in vitro rates of metabolism are of pivotal importance for an adequate calculation of the slice's intrinsic clearance it was decided that incubations of liver slices with tolbutamide were carried out without prior preincubation.


View larger version (28K):
[in this window]
[in a new window]
 
Fig. 3.   Testosterone metabolism of liver slices at different times of preincubation.

The results presented are from one representative experiment of two.

Model Fitting of Experimental Data. In van Eijkeren (2002) it is shown that for a meaningful data analysis of the parameters for drug metabolism, CLs, drug-free fraction, fs, and exchange of drug between culture medium and liver slice, D, a simultaneous fit of the amount of tolbutamide in slice and the sum of the amounts of the metabolites hydroxy- and carboxytolbutamide pooled from slice and medium are required. Moreover, for checking the mass balance, the initial amount of tolbutamide in the medium was calculated by a simultaneous fit of the amount of tolbutamide in culture medium as well. All calculations were performed with the ACSL-Optimize package, optimizing the log-likelihood of the parameter values, considering the experimental data, and assuming a relative error model. Fitted values appear in the text with standard errors (obtained from the Hessian).

The diffusion parameter, which is of no interest to the in vitro-in vivo extrapolation, was found to be unrealistically high for the 40 and 90 µM incubations. Effectively, the tolbutamide concentration in the slice would rise immediately to an initial concentration in equilibrium with the concentration in culture medium. After excluding the data for the amount of pooled metabolites at the first time point t = 2 min., which were even higher than the data for the second time point at t = 4, more realistic values were found (data not shown). So, in the following, all references to fitting the data assume the exclusion of pooled metabolite data for t = 2 for the 40 and 90 µM incubations. Also, because its value appeared to be extremely low, the datum for the amount of tolbutamide in culture medium at t = 60 min for the 40 µM incubation was excluded (Fig. 2). For the three highest concentration incubations, the percentage of explained variation was 99 for tolbutamide in culture medium, 97 to 98 for tolbutamide in liver slice, and 93 to 97 for metabolites. For the 40 µM incubation, these percentages are 88, 67, and 99, respectively, showing a greater erratic outcome of the experiment for this low concentration incubation compared with the others.

The values found for the diffusion parameter are 0.0088 (0.0036) cm3/min for the 40 µM incubation, 0.0045 (0.0013) cm3/min for the 90 µM incubation, 0.0035 (0.0011) cm3/min for the 125 µM incubation, and 0.0038 (0.0005) cm3/min for the 170 µM incubation.

Although in the model of van Eijkeren (2002) it is assumed that the free fraction of any compound never exceeds the value 1, model fits for the various incubations were performed while not imposing this bound. For the 170 and 125 µM incubations values of 1.04 (0.07) and 1.09 (0.06), respectively, were fitted for this parameter. This is a slight overestimation, but the value 1 lies within the 95% range of the values found. Also, because for the 90 and 40 µM incubations values of 0.79 and 0.64, respectively, were found, in the following text all references to fitting data assume an upper bound of 1 be set for the free fraction of tolbutamide in liver slice. The values found for the free fraction of tolbutamide in slice are 0.64 (0.08), 0.79 (0.11), 1 (0.13), and 1 (0.07) for the 40, 90, 125, and 170 µM incubations, respectively.

In van Eijkeren (2002), the metabolism parameter CL describes the intrinsic liver slice clearance for the whole slice. For extrapolation purposes, we are interested in the specific intrinsic clearance (i.e., the intrinsic clearance per volume of liver slice). The fitted values of this parameter are 0.086 (0.020) min-1 for the 40 µM incubation, 0.059 (0.013) min-1 for the 90 µM incubation, 0.035 (0.006) min-1 for the 125 µM incubation, and 0.055 (0.006) min-1 for the 170 µM incubation. These values were fitted assuming the nonviable cells to have equal metabolizing potency as the viable ones. However, if one assumes that chemical conditions, especially cell pH, prohibit action of the metabolizing enzymes, one should not divide the intrinsic clearance by total cell volume, but by viable cell volume. This procedure is justified by the assumption on well stirredness of the liver slice. The experimental setup leads to identification of the intrinsic clearance as a property of the liver slices as a whole: whether the sites of clearance reside in only part of the slice or the entire slice cannot be determined. Given the observed clearance rate and the drug to be equally distributed within the slice (well stirredness assumption), specific metabolism of the clearance sites (i.e., the clearance rate per unit of volume of these sites) follows by dividing the observed slice clearance by the clearance sites volume, instead of by total slice volume.

From the histological results it appears that viable cell volume is about 80% of total volume for the different incubations. This way, one concludes to the values for the specific intrinsic liver clearance of 0.11, 0.073, 0.044, and 0.069 min-1 for the 40, 90, 125, and 170 µM incubations, respectively.

The time course of the amounts for the different incubations, together with the data, are shown for tolbutamide in incubation medium, in slice and pooled metabolites in Figs. 2, 4, and 5, respectively. Figure 6 shows typical behavior of the standardized residuals with respect to the fitted time courses.


View larger version (12K):
[in this window]
[in a new window]
 
Fig. 4.   Time course in amount of tolbutamide in liver slice.

Data and fits for the four different incubations: 40 µM (×), 90 µM (+), 125 µM (open circle ), and 170 µM tolbutamide (*).


View larger version (11K):
[in this window]
[in a new window]
 
Fig. 5.   Time course in total amount of hydroxy- and carboxytolbutamide in medium and slice.

Data and fits for the four different incubations: 40 µM (×), 90 µM (+), 125 µM (open circle ), and 170 µM tolbutamide (*).


View larger version (6K):
[in this window]
[in a new window]
 
Fig. 6.   Standardized residuals from model fits.

The figure shows the standardized residuals for the fit to the 170 µM incubation data for tolbutamide in liver slice. The picture is typical for all standardized residuals.

In Vitro-In Vivo Extrapolation. Sugita et al. (1982) present a PBPK model for tolbutamide in the rat. In this model, metabolism is modeled with saturable Michaelis-Menten kinetics, including a submodel for the free fraction of tolbutamide in plasma. Their model has been implemented in ACSL, replacing Michaelis-Menten kinetics with linear kinetics. Intrinsic liver clearance was modeled by multiplying the value for the specific intrinsic clearance found from the incubation experiments by liver volume. The free fraction in blood was assumed to consist totally of the free fraction in plasma, thus considering the fraction in erythrocytes to be bound.

Figure 7 shows the plasma concentration-time curves for tolbutamide, by using specific intrinsic clearances obtained by dividing the liver slice intrinsic clearances from the experiments by total cell volume, together with the data of Sugita et al. (1982) and a best fit, fitting the PBPK model specific intrinsic clearance to these data. The value of the specific intrinsic clearance found by their fit was 0.091 min-1. Figure 8 shows the same, but with values for the specific intrinsic clearance obtained by dividing the liver slice intrinsic clearances from the incubation experiments by viable cell volume only.


View larger version (12K):
[in this window]
[in a new window]
 
Fig. 7.   Time course of tolbutamide concentration in rat plasma.

Data (*) from Sugita et al. (1982). Calculated plasma concentrations by using values for the specific intrinsic clearances obtained by fitting to slice experiment data for the 40, 90, 125, and 170 µM incubations, respectively, and by fitting the specific intrinsic clearance to the data of Sugita et al. (1982).


View larger version (12K):
[in this window]
[in a new window]
 
Fig. 8.   As in Fig. 6, but specific intrinsic clearances obtained by dividing the slice clearances by the slices viable volume instead of total volume.



    Discussion
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References

Slice Characteristics. For accurate modeling of in vitro metabolism data slice viability and hence metabolic capacity need to be accurately determined. It was shown that during the relatively short incubation period (60 min), a slight increase in number of nonvital cell layers was observed. In addition, from slice histology data it was calculated that the number of viable cells amounted to 80% of total number of liver cells for the different incubations. The question rises whether nonviable cells are capable of metabolizing tolbutamide and to what extent this reaction is likely to occur in damaged tissue. Because this is of pivotal importance for accurate modeling of in vitro metabolism data we modeled our metabolism data with and without correction for the number of viable cells. Notice that this correction was effected only by dividing liver slice intrinsic clearance (found by fitting to the data) by the volume of viable cells and not by total slice volume. So doing, it was tacitly assumed that other physicochemical properties of the slice (transport, octanol-water-based partition and binding) were not dependent on cell viability.

From the slice characteristics it appears that after about 0.5 h, the outer slice layers with nonviable cells disconnect from the inside. So, model fits were also performed using data until t = 30 min only. However, no substantial differences were found with parameter estimations by using all the data, so these results are not reported. This corroborates the assumption mentioned above that cell viability did not influence the liver slice physicochemical properties, except for possible metabolism.

Identification. In van Eijkeren (2002), it is shown that the estimations for the free fraction of tolbutamide and its intrinsic clearance by fitting the data become unreliable when the latter value exceeds the estimation for the diffusion parameter, whereas the value of their product remains reliable. It appears that the value for the slice intrinsic clearance never exceeds a fraction of 0.22 of the value of the diffusion parameter. From this modeling point of view the fitted values can be considered as reliable.

From the four different values of the specific intrinsic clearance that were found by fitting the data of the four different incubations, two are fairly well comparable: those for the 90 and 170 µM incubations. The value found for the 125 µM incubation is about 70% of that for the 90 and 170 µM incubations and those for the 40 µM incubation are about 50% higher.

Note that indeed the metabolite data for the 125 µM incubation do not lie well in between those of the 90 and 170 µM incubations (Fig. 5), whereas those for tolbutamide in medium and slice do (Figs. 2 and 4, respectively). The estimation of the clearance is mainly determined by the metabolite data. Note that the corresponding theoretical amount-time curve for the 125 µM incubation (Fig. 4) does not fit the tolbutamide data well: the theoretical levels are for the greater part higher than the experimental levels. This indicates that the estimation for the clearance should have been higher, whereas the metabolite data do not allow that. The theoretical amount-time curve obtained by using a clearance value in between those for the 90 and 170 µM incubations fits the tolbutamide data in slice much better (data not shown).

For the 40 µM incubation not only the specific intrinsic clearance deviates substantially from the values found for the 90 and 170 µM incubations but also the free fraction (about -30%) and the diffusion parameter (about twice as large). This does not hold for the 125 µM parameter. Note that the data for the 40 µM incubation are erroneous. It is concluded that perhaps a value of the intrinsic clearance in between the values found for the 90 and 170 µM incubations is the most reliable estimate.

One could question the approach of transport of the compound by one diffusion parameter, lumping the processes of diffusion in culture medium to the slice and, perhaps more importantly, of diffusion in the slice to metabolizing sites. Stated another way: How well stirred is the liver slice? Two elements in relation to well stirredness are involved. The first element is the characteristic time scale of intraslice diffusion of a compound in connection to the time scale of observations: the smaller the latter, the smaller the first should be so that the slice can be considered well stirred. The second element is the characteristic time scale of specific intrinsic clearance in connection to the characteristic time scale of diffusion. The first should be large compared with the latter so that the slice can be considered well stirred. This involves not only the diffusional process itself but also slice dimensions: the characteristic time scale for diffusion is the squared thickness of the slice divided by the diffusion coefficient. Additionally, it is assumed that viability does not influence the cell's diffusion characteristics, because viability has primarily to do with biochemical processes and not with physical ones. Note that the diffusion value is not only determined by the liver material properties but also by the compound properties. The question of well stirredness has been investigated by modeling intraslice diffusion explicitly (J. van Eijkeren, unpublished data). Initial results indicate that the assumption on well stirredness reasonably applies to the kinetics of tolbutamide in liver slices.

Worboys et al. (1995) report an intrinsic clearance for tolbutamide of 0.8 (0.6) µl/min for slices of 7.30 (0.60) mg of dry weight, which amounts to about 10 (0.8) mg of wet weight. So, the specific intrinsic clearance, when dividing by total slice volume, is about 0.08 (0.08) min-1. Our results, which lie in range of 0.035 to 0.086 min-1, compare well with their result. It may seem disappointing that the modeling approach in van Eijkeren (2002) does not lead to substantially different results as does the simple modeling approach in Worboys et al. (1997). As simple models as possible should be used for understanding experimental results. However, the more complex modeling in van Eijkeren (2002) offers the key to the understanding why the different approaches lead to almost the same result.

First, it appears that the diffusion process has a characteristic time scale that is about 2.5 times as fast as the characteristic time of clearance (e.g., 0.004 and 0.0001 µl/min for diffusion and clearance, respectively). So, clearance is the rate-limiting process and difference between the models is to be expected only when diffusion is rate limiting. First, in van Eijkeren (2002) it is analyzed that when diffusion is rate limiting, identifiability of slice intrinsic clearance becomes unreliable. Second, in such a case, the assumption on well stirredness of the liver slice becomes doubtful and one has to resort to a model that includes intraslice diffusion (J. van Eijkeren, manuscript in preparation). This suggests to compare the models together with a model that includes intraslice diffusion with a compound possessing high-clearance properties.

Second, except for the 40 µM incubation with its erratic results, binding of tolbutamide does not seem to be of importance: if its free fraction, for example, had been found to be 0.2 instead of 0.8 and higher, surely the difference between the two model approaches would have been more pronounced. This suggests to compare the two well stirred models of van Eijkeren (2002) and Worboys et al. (1997) with a compound with strong binding capacity.

Extrapolation. For the in vitro-in vivo extrapolation one needs the specific intrinsic slice clearance, i.e., the clearance per unit volume of slice. One of the difficulties has been alluded to above: estimation of slice volume should be fairly accurate. For the determination of slice volume, other slices, but from the same sliced batch, than those that are incubated are being used. The choice is by eye, trying to choose as good as possible slices of the same quality for incubating and for weighing.

Another problem is whether one should exclude the nonviable fraction of cells from the sites where metabolism takes place or not. On the one hand, one argues that in incubation experiments with microsomes even the total cell structure is damaged and the microsomal fraction extracted and incubated. Still, the enzymes responsible for primary metabolism are active. On the other hand, microsomes are incubated in fluid under chemical conditions that favor their functioning, whereas chemical conditions in nonviable cells, notably loss of cofactors, might prohibit such functioning.

However this may be, when not correcting for nonviable volume the extrapolation result is satisfying if one keeps in mind that the livers from the incubation experiments are from rats of a different strain than the rats used in the experiments of Sugita et al. (1982). When correcting for nonviable volume, the results are even better. Although morphological deterioration of tissue might not be regarded as a direct indicator of decreased biotransformation capability, the application of this correction seems justified regarding the improvement in prediction of the plasma tolbutamide profile.

Conclusion. In the present study we have shown that liver slice experiments can be useful in the determination of the specific intrinsic liver clearance. This usefulness depends on the ratio between the characteristic times for metabolism and diffusion of the chemical compound involved. The latter not only depends on the physical process of diffusion but also on slice thickness. Note that this observation does not exclude drugs that are known as "high-clearance drugs" from application of this in vitro technique: high clearance can be the result of both fast metabolism and fast diffusion with a ratio of characteristic times favorable for reliable identification. On the contrary, when low clearance of a compound is the result of a slow diffusion process and a fast metabolism process, such a "low-clearance drug" is expelled from application. In this sense, the distinction between low and high clearance perhaps has to be reconsidered.

    Acknowledgments

We gratefully acknowledge H. A. van Loenen for protein and albumin determinations. Gratitude is also expressed to H. J. Loendersloot for assistance with histology, to Dr. W. Maas for the testosterone assay, and to Drs. ir. L. L. de Zwart and A. J. A. M. Sips for assistance with the incubations. Drs. ir. L. L. de Zwart and Dr. ir. M. J. Zeilmaker are also acknowledged for critically reviewing the manuscript.

    Footnotes

Received April 10, 2001; accepted November 19, 2001.

Dr. H. E. M. G. Haenen, Laboratory of Exposure Assessment and Environmental Epidemiology, National Institute of Public Health and the Environment, P.O. Box 1, 3720 BA Bilthoven, The Netherlands. E-mail: bert.haenen{at}rivm.nl

    Abbreviations

Abbreviations used are: CLs, slice metabolic rate constant; PBPK, physiologically based pharmacokinetic; WME, Williams' medium E; HPLC, high-performance liquid chromatography; TOL, tolbutamide; Vs, slice volume; P<UP><SUB>sm</SUB><SUP>ow</SUP></UP>, octanol-water-based liver slice/culture medium partition.


    References
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References


0090-9556/02/3003-307-313
DMD, 30:307-313, 2002
Copyright © 2002 by The American Society for Pharmacology and Experimental Therapeutics



This article has been cited by other articles:


Home page
Drug Metab. Dispos.Home page
N. Treijtel, H. van Helvoort, A. Barendregt, B. J. Blaauboer, and J. C. H. van Eijkeren
THE USE OF SANDWICH-CULTURED RAT HEPATOCYTES TO DETERMINE THE INTRINSIC CLEARANCE OF COMPOUNDS WITH DIFFERENT EXTRACTION RATIOS: 7-ETHOXYCOUMARIN AND WARFARIN
Drug Metab. Dispos., September 1, 2005; 33(9): 1325 - 1332.
[Abstract] [Full Text] [PDF]


Home page
Drug Metab. Dispos.Home page
N. Treijtel, A. Barendregt, A. P. Freidig, B. J. Blaauboer, and J. C. H. van Eijkeren
MODELING THE IN VITRO INTRINSIC CLEARANCE OF THE SLOWLY METABOLIZED COMPOUND TOLBUTAMIDE DETERMINED IN SANDWICH-CULTURED RAT HEPATOCYTES
Drug Metab. Dispos., August 1, 2004; 32(8): 884 - 891.
[Abstract] [Full Text] [PDF]


This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Submit a response
Right arrow Alert me when this article is cited
Right arrow Alert me when eLetters are posted
Right arrow Alert me if a correction is posted
Services
Right arrow Similar articles in this journal
Right arrow Similar articles in PubMed
Right arrow Alert me to new issues of the journal
Right arrow Download to citation manager
Citing Articles
Right arrow Citing Articles via HighWire
Right arrow Citing Articles via Google Scholar
Google Scholar
Right arrow Articles by Haenen, B.
Right arrow Articles by van Eijkeren, J.
Right arrow Search for Related Content
PubMed
Right arrow PubMed Citation
Right arrow Articles by Haenen, B.
Right arrow Articles by van Eijkeren, J.


Home Help [Feedback] [For Subscribers] [Archive] [Search] [Contents]
All ASPET Journals Molecular Pharmacology Pharmacological Reviews
 Molecular Interventions Drug Metabolism and Disposition