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Vol. 29, Issue 2, 103-110, February 2001


A Flow Cell Assay for Evaluation of Whole Cell Drug Efflux Kinetics: Analysis of Paclitaxel Efflux in CCRF-CEM Leukemia Cells Overexpressing P-Glycoprotein

James T. Lin, Rashmi Sharma,1 James J. Grady, and Sanjay Awasthi2

Departments of Internal Medicine (J.T.L., R.S., S.A.) and Biostatistics (J.J.G.), University of Texas Medical Branch, Galveston, Texas

    Abstract
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
Appendix
References

P-glycoprotein (Pgp) mediates drug accumulation defects in malignant cells in vitro. It confers resistance to multiple drugs including paclitaxel, an agent useful in treating malignancies including acute leukemia. Pgp-mediated drug resistance appears to be due to primary active drug-transport as well as other effects on membrane permeability, but the relative contribution of each is unclear. Flow cells are useful for differentiating transport-mediated efflux from altered membrane permeability, but their utility is limited to attached cells. We developed a novel flow cell to study drug efflux kinetics in suspension culture cells and examined paclitaxel efflux in resistant CEM/VLB100 leukemia cells, which overexpress Pgp, compared with its sensitive CEM parent line. Paclitaxel efflux from both cell lines was described by bi-exponential kinetics. The predominant initial rapid component increased linearly with paclitaxel concentration, consistent with passive efflux, and was faster in CEM/VLB100 than CEM cells. The slow terminal component of efflux was also more rapid for CEM/VLB100 than CEM, and was saturable (Vmax= 9.1 ± 1.1 versus 3.5 ± 0.3 pmol/min/107 cells, respectively) at a lower paclitaxel concentration than the parental CEM cells (km = 63 ± 46 nM versus 144 ± 56 nM, respectively). In CEM/VLB100 cells, this saturable component was inhibited by verapamil and was temperature-sensitive, consistent with Pgp-mediated transport. Verapamil also inhibited the rapid component of efflux, suggesting additional effects on membrane permeability. Our studies show that the present technique is useful for studying drug transport and that effects of Pgp on membrane permeability contribute significantly to the net drug-accumulation defect.

    Introduction
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
Appendix
References

Decreased drug accumulation is a common mechanism of antineoplastic drug resistance in vitro (Beck and Dalton, 1997). In many cell lines, the development of multiple drug resistance to structurally unrelated antineoplastic agents has been associated with decreased accumulation of drug and increased drug efflux (multidrug resistance phenotype, MDR3). An increasing number of cellular membrane proteins have been reported to be associated with this phenomenon of multidrug resistance (reviewed in van Veen and Konings, 1998). The most extensively studied of the MDR proteins is P-glycoprotein (Pgp), the product of the multidrug resistance gene mdr-1 (Biedler and Riehm, 1970; Beck et al., 1979; Riordan and Ling, 1985; Qian and Beck, 1990; Horwitz et al., 1993; Bhalla et al., 1994; Dumontet et al., 1996). This protein has been shown to mediate the ATP-dependent active efflux of a number of anticancer agents (Sharom et al., 1993, 1996; Eytan et al., 1994, 1996; Ruetz and Gros, 1994; Shapiro and Ling, 1995). However, a number of investigators have noted that the kinetic parameters measured for drug efflux in vesicle studies are much too low to explain the decrease in intracellular drug accumulation (Demant et al., 1990; Bornmann and Roepe, 1994; Roepe, 1995). Thus, an alternative mechanism of action that has been proposed is that Pgp alters the properties of the membrane to increase drug efflux (Demant et al., 1990; Bornmann and Roepe, 1994; Roepe, 1995). Kinetic studies may be able to differentiate between these two models.

Flow cell techniques are an established means for characterizing efflux kinetics of drugs (Spoelstra et al., 1992) and ions (Frank et al., 1977). These techniques are based on monitoring the time-dependent efflux of a drug in effluent buffer from flow cells containing immobilized cells loaded with drug and washed continuously with fresh buffer. Total drug efflux, initial velocity of efflux, and initial drug concentration can be obtained by mathematical analysis of integrated data. The advantages of this technique include the ability to monitor drug efflux continuously and minimization of drug re-entry into cells since excreted drug is removed by the flow of buffer. Furthermore, the continuous flow of fresh buffer obviates the possibility of an apparent prolonged drug retention due to equilibration between the cell and the nominally drug-free buffer. In addition, since only a small number of cells is needed, this technique may have potential for examining drug efflux in clinical samples. However, because cells must be immobilized, this technique has been limited in the past to cell types grown in monolayer culture.

In this article, we report the development of a flow cell technique designed for cells growing in suspension culture. To validate this technique, we examined the effects of Pgp on paclitaxel efflux using a well characterized leukemic cell model for Pgp-mediated drug resistance, the multidrug-resistant CEM/VLB100 cell line, which highly overexpresses Pgp, compared with its parent sensitive CCRF-CEM myelogenous leukemia cell line. We chose paclitaxel because it is a commonly used antineoplastic agent (Rowinsky and Donehower, 1996) that has recently been investigated as a salvage chemotherapy agent in relapsed human acute myelogenous leukemia (Curtis et al., 1996; Munker et al., 1998). Paclitaxel resistance has been linked with decreased intracellular drug accumulation and increased Pgp expression. The initial rate kinetic parameters of efflux were examined under conditions of no external drug in these two well characterized cell lines. Our studies show that the majority of paclitaxel efflux from these cells occurs as a rapid efflux component that increases linearly with paclitaxel concentration, suggesting passive diffusion. Interestingly, this rapid efflux component is increased in Pgp-overexpressing CEM/VLB100, suggesting that Pgp affects the rapid passive efflux of paclitaxel by altering membrane properties to enhance passive efflux. A slower saturable component of efflux was observed in both the parental and Pgp overexpressing cells, and it was found to be distinct in kinetic character in CEM/VLB100 cells, with larger Vmax and lower km than the parental cells. Verapamil and low temperature, known inhibitors of primary active transport by Pgp, nearly abrogated the slower saturable component in resistant CEM/VLB100 cells, but also partially inhibited the rapid component. These results validated the ability of the present flow cell system for detecting a saturable primary active transport presumably mediated by Pgp. These results also suggest that verapamil can modulate Pgp-mediated drug-accumulation defects both by inhibiting Pgp-mediated transport as well as by interfering with the effects of Pgp on passive paclitaxel efflux.


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

Reagents. [3H]Paclitaxel (specific activity: 6.2 Ci/mmol) and [14C]inulin (1 mCi/ml) were obtained from Moravek Biochemicals (La Brea, CA). Culture supplies were obtained from Life Technologies Inc. (Gaithersburg, MD). Concanavalin A (conA) linked to Sepharose-4B (conA-seph, catalog no. C-9017) was obtained from Sigma Chemicals (St. Louis, MO).

Culture Conditions. Human leukemia cell lines CCRF-CEM and its multidrug-resistant subline CEM/VLB100 were gifts from William T. Beck (University of Illinois at Chicago) (Beck et al., 1979). The cell subline CEM/VLB100 was originally developed by Dr. Beck for resistance to vinblastine and is 200- to 800-fold resistant compared with the parent line. It has shown to overexpress Pgp, the protein product of the multidrug resistance gene mdr-1 (Beck et al., 1979; Kuttesch et al., 1996). We confirmed that the CEM/VLB100 cells were resistant to paclitaxel compared with the parent cell line (data not shown). Cells were maintained in the log phase of growth by diluting them 1:10 in RPMI 1640 containing 10% fetal bovine serum with penicillin and streptomycin (final concentration: 50 U/ml each) every 3 to 4 days.

Drug Efflux Studies. A Bio-Spin disposable chromatography column (Bio-Rad 732-6008, Hercules, CA) was used for the flow cell (Fig. 1). Concanavalin A linked to conA-seph beads (Sigma Chemicals) was used as a matrix to immobilize the cells. Hanks' balanced salt solution (HBSS) (pH 7.4) containing 1 mg/ml glucose was used as the buffer. The conA-seph was washed thoroughly with methyl-alpha -D-mannopyranoside 50 mM to remove any contaminants that could affect drug washout (Goldstein et al., 1965). A bed volume of 0.45 ml (37°C) or 0.6 ml (4°C) of conA-seph was sufficient to retain >99% of cells within the column for the duration of the assay. The column was equilibrated with buffer at a flow rate of 1 ml/min using an LKB (Broma, Sweden) 2132 peristaltic pump. The column was placed inside either a 37°C incubator or a 4°C cold room, and the temperature of the buffer was monitored.


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Fig. 1.   Diagram of the flow cell.

The flow cell consisted of a Bio-Spin disposable chromatography column containing conA bound to Sepharose beads. The stopper is made from a 00 rubber stopper with two holes drilled through it and a separate rubber piece glued on top covering the larger hole. Tubing is passed through the smaller hole to allow buffer to be pumped through the cell. Cells are injected through the larger hole into the flow cell.

For the drug efflux studies, 1 × 107 cells in exponential growth phase were incubated in 0.5 ml of buffer containing varying concentrations of [3H]paclitaxel at either 37 or 4°C for 30 min and centrifuged at 300g for 5 min; the supernatant was removed and the equilibrium external drug concentration measured. The cell pellet was immediately resuspended (average time: <30 s) in 0.2 ml of drug-free buffer and injected into the column. Effluent fractions (0.5 min, 0.5 ml) were collected using an ISCO (Lincoln, NE) Retriever fraction collector. At the end of the experiment, the entire flow cell contents were removed with a Pasteur pipette, and the residual radioactivity was determined. All radioactivity measurements were made by adding the fractions to 10 ml of 1:1 Hydrofluor/Betafluor scintillation fluid in a 20-ml glass scintillation vial, which was then counted using a Beckman (Fullerton, CA) LS6800 liquid scintillation counter. The amount of paclitaxel remaining in the flow cell with respect to time, F(t), was obtained by adding the collected fractions starting with the last fraction, and working backward to the fraction collected at time t, using eq. 1, where P is amount of drug remaining in the flow cell at the end of the experiment and Rtau is the amount of drug in the fraction at time tau  (min), and experiment ends at time T.
<B><IT>F</IT></B>(t)=P+<LIM><OP>∑</OP><LL>&tgr;=t</LL><UL>&tgr;=T</UL></LIM> R<SUB>&tgr;</SUB>. (1)

Kinetic Analysis of Paclitaxel Efflux from Cells. Compartment analysis of paclitaxel distribution and efflux from intracellular compartments required corrections for the effects of trapped extracellular paclitaxel, the kinetics of buffer washout, and of conA-seph on the egress of paclitaxel from the flow cell. To determine the amount of trapped buffer, 1 × 107 cells were incubated with [14C]inulin in an identical manner to that used for loading cells with [3H]paclitaxel, then the supernatant was removed, and an aliquot was counted to determine counts per volume. The cell pellet was then removed and its volume measured using a Pipetman (Gilson, Middleton, WI), and the amount of [14C]inulin trapped in the cell pellet was determined and converted to extracellular volume. The measured counts per volume of the [14C]inulin was then used to determine the volume of trapped extracellular buffer. The amount of extracellular volume trapped within the cell pellet was found to be 54 ± 5% (n = 3) of the total volume (25 µl). The kinetic properties of buffer washout from the flow cell were also evaluated by injecting [14C]inulin alone, or following injection of 1 × 107 cells into the flow cell, and by monitoring the radioactivity in the effluent in the absence or presence of cell; they followed a single exponential decay curve, unaffected by the presence of cells (tau  = 0.863 ± 0.089 min without cells, n = 3; 0.859 ± 0.033 min with cells, n = 3; and 0.861 ± 0.061 min overall).

The characteristics of paclitaxel washout were determined by injecting [3H]paclitaxel into the flow cell in the absence of cells. Washout at 37°C fitted a bi-exponential decay curve with time constants T1 = 1.37 ± 0.04 min and T2 = 10.5 ± 1.8 min (n = 3) at 37°C. The fractional size of the rapid compartment (alpha ) was 0.91 ± 0.005 (Fig. 2). Results at 4°C were similar, with alpha  = 0.86 ± 0.04, T1 = 1.22 ± 0.60 min, and T2 = 11.1 ± 3.9 min (n = 2).


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Fig. 2.   Paclitaxel washout from the flow cell at 37°C as a function of time.

[3H]paclitaxel in 0.2 ml of HBSS buffer containing 1 g/l glucose was injected into the flow cell, and aliquots of the effluent were collected every 30 s. To obtain the time-dependent curve of residual paclitaxel in the flow cell, the radioactive counts were added, beginning with the column contents at the end of the experiment. Next, the last collected sample before the end of the experiment was added, followed by the progressive addition of earlier aliquots, ending with the first collected sample and then normalized. Results represent average and standard deviation of two experiments.

In an idealized flow cell, the concentration of drug outside the cell would remain zero (infinite volume and infinite flow rate of extracellular buffer) and extracellular drug would be instantaneously removed. In reality, the finite rate of washout of buffer from the flow cell and possible binding of extracellular drug to column components would modify the cellular efflux curve to produce the observed efflux curve. Our studies, in agreement other investigators (Wadkins and Houghton, 1993; Bornmann and Roepe, 1994), suggested that the efflux of drug from the flow cell could be well described by a two-compartment equation:
<UP>f</UP>(t)=A · e<SUP><FENCE><UP>−</UP><FR><NU>t</NU><DE>&tgr;<SUB>1</SUB></DE></FR></FENCE></SUP>+B · e<SUP><FENCE><UP>−</UP><FR><NU>t</NU><DE>&tgr;<SUB>2</SUB></DE></FR></FENCE></SUP> (2)
where f(t) represents the amount of drug remaining in the flow cell at time t, A and B represent the amount of drug in the two cellular compartments, and tau 1 and tau 2 are the time constants of drug efflux from compartments A and B, respectively. The inherent buffer washout characteristics and any effects of conA-seph on the efflux of paclitaxel from the column will be superimposed on this equation. Buffer washout as measured by washout of [14C]inulin in HBSS in the absence or presence of cells was described by a single exponential curve with time constant T. However, washout of paclitaxel alone in the presence of conA-seph but in the absence of cells behaved according to a two-compartment model, with a rapid initial phase with time constant T1 and a slower terminal compartment with time constant T2 (see Results). T and the rapid time constant T1 for the washout of paclitaxel from the flow cell were similar in magnitude to tau 1, the rapid time constant for cellular efflux. Thus, these time constants would significantly modify the measured time constants. Using these results, eq. 2 was modified (see Appendix for detailed derivation) to yield the measured efflux curve:
<B><IT>F</IT></B>(t)=

  A · <FENCE><AR><R><C>  <FENCE><FR><NU>&agr;</NU><DE>(T−T<SUB>1</SUB>)</DE></FR>+<FR><NU>(1−&agr;)</NU><DE>(T−T<SUB>2</SUB>)</DE></FR></FENCE> · <FENCE><FR><NU>T</NU><DE>(&tgr;<SUB>1</SUB>−T)</DE></FR></FENCE> · <FENCE>&tgr;<SUB>1</SUB> · e<SUP>(−t/&tgr;<SUB>1</SUB>)</SUP>−T · e<SUP>(−t/T)</SUP></FENCE></C></R><R><C>−<FENCE><FR><NU>&agr; · T<SUB>1</SUB></NU><DE>(T−T<SUB>1</SUB>) · (&tgr;<SUB>1</SUB>−T<SUB>1</SUB>)</DE></FR></FENCE> · <FENCE>&tgr;<SUB>1</SUB> · e<SUP>(−t/&tgr;<SUB>1</SUB>)</SUP>−T<SUB>1</SUB> · e<SUP>(−t/T<SUB>1</SUB>)</SUP></FENCE></C></R><R><C>−<FENCE><FR><NU>(1−&agr;) · T<SUB>2</SUB></NU><DE>(T−T<SUB>2</SUB>) · (&tgr;<SUB>1</SUB>−T<SUB>2</SUB>)</DE></FR></FENCE> · <FENCE>&tgr;<SUB>1</SUB> · e<SUP>(−t/&tgr;<SUB>1</SUB>)</SUP>−T<SUB>2</SUB> · e<SUP>(−t/T<SUB>2</SUB>)</SUP></FENCE></C></R></AR></FENCE>

+B · <FENCE><AR><R><C>  <FENCE><FR><NU>&agr;</NU><DE>(T−T<SUB>1</SUB>)</DE></FR>+<FR><NU>(1−&agr;)</NU><DE>(T−T<SUB>2</SUB>)</DE></FR></FENCE> · <FENCE><FR><NU>T</NU><DE>(&tgr;<SUB>2</SUB>−T)</DE></FR></FENCE> · <FENCE>&tgr;<SUB>2</SUB> · e<SUP>(−t/&tgr;<SUB>2</SUB>)</SUP>−T · e<SUP>(−t/T)</SUP></FENCE></C></R><R><C>−<FENCE><FR><NU>&agr; · T<SUB>1</SUB></NU><DE>(T−T<SUB>1</SUB>) · (&tgr;<SUB>2</SUB>−T<SUB>1</SUB>)</DE></FR></FENCE> · <FENCE>&tgr;<SUB>2</SUB> · e<SUP>(−t/&tgr;<SUB>2</SUB>)</SUP>−T<SUB>1</SUB> · e<SUP>(−t/T<SUB>1</SUB>)</SUP></FENCE></C></R><R><C>−<FENCE><FR><NU>(1−&agr;) · T<SUB>2</SUB></NU><DE>(T−T<SUB>2</SUB>) · (&tgr;<SUB>2</SUB>−T<SUB>2</SUB>)</DE></FR></FENCE> · <FENCE>&tgr;<SUB>2</SUB> · e<SUP>(−t/&tgr;<SUB>2</SUB>)</SUP>−T<SUB>2</SUB> · e<SUP>(−t/T<SUB>2</SUB>)</SUP></FENCE></C></R></AR></FENCE>
where


F(t) = the measured amount of paclitaxel in the flow cell at time t,
T = the measured time constant of buffer washout from the flow cell in the absence of cells,
 alpha = the measured fractional size of the rapid compartment for paclitaxel washout,
T1 = the measured initial time constant of paclitaxel washout,
T2 = the measured terminal time constant of paclitaxel washout,
A = rapid cellular efflux drug amount,
B = terminal cellular efflux drug amount,
 tau 1 = rapid cellular efflux time constant, and
 tau 2 = terminal cellular efflux time constant.

Note that the buffer washout and drug washout parameters T, alpha  , T1, and T2 are system parameters that are determined in the absence of cells and remain fixed for the entire series of experiments. Thus, for each experiment, only A, B, tau 1 and tau 2 are fitted to the experimental curve. In the ideal case where T, T1, and T2 approach zero (i.e., they are much more rapid than tau 1 or tau 1), this equation reduces to f(t) as expected. The nonlinear fit program contained in the Statistica (StatSoft, Tulsa, OK) software package was used to fit this equation to the observed efflux curve of paclitaxel to obtain values for A, B, tau 1 and tau 2.

The initial rate of drug efflux (t = 0) is ideal for analysis because the external drug concentration is practically zero (zero-trans), hence influx of excreted drug into the cell from external buffer is negligible. At the same time, the internal cell conditions have not had time to change, so the initial drug concentration and efflux are the same as the equilibrium drug concentration and drug efflux. The initial rate of drug efflux for the two compartments A and B at time t = 0 is the time derivative of the efflux curve (eq. 2), or A/tau 1 and B/tau 2. The effects of verapamil were examined by preincubating cells at 37°C with 10 µM verapamil alone for 10 min before incubating with verapamil along with [3H]paclitaxel, and the flow buffer also contained 10 µM verapamil.

Since paclitaxel uptake reached plateau after 10 min (data not shown), cells were incubated with drug for 30 min to ensure equilibrium conditions. This allowed the assumption that influx and efflux rates were equal. Assuming that paclitaxel influx was passive and that the kinetic parameters for passive influx and efflux were identical (Spoelstra et al., 1992), internal equilibrium free drug concentration was calculated using the equation:
[<UP>S</UP>]<SUB><UP>int</UP></SUB>=[<UP>s</UP>]<SUB><UP>ext</UP></SUB>−B/K (4)
where [S]int is the calculated equilibrium internal free drug concentration, [s]ext is the equilibrium external drug concentration, B is the initial efflux velocity from compartment B, and K is the passive diffusion constant. K was determined by linear regression fitting a line through the origin to the data for compartment A. The results were 171 µl/min/107 cells and 313 µl/min/107 cells for CEM and CEM/VLB100 cells, respectively.

Statistical Analysis. Straight line fits to the kinetic data were performed using linear regression analysis by the SAS statistical package (SAS Institute Inc., Cary, NC), with the lines forced through zero, and their slopes compared using standard F tests. Fitting to the Michaelis-Menten equation was performed using nonlinear regression analysis in the MLAB statistical computer package (Civilized Software Inc., Bethesda, MD) to obtain estimates of the parameters and standard errors for those parameter estimates. In nonlinear regressions, exact p values cannot be calculated; however, the following approach was used to give a reasonable approximation for comparison of the curves. Assuming the null hypothesis, the computed difference of the parameter estimates was compared with the standard error of the difference. Given the number of data points, the T distribution can be well approximated by a standard normal distribution. Thus, for differences in the estimates of parameters greater than 2 times the standard error of the difference, the p value is less than 0.05, and for differences greater than 2.5 times the standard error of the difference, the p value is less than 0.02. A difference in parameter estimates of either the km or Vmax greater than 2 times the standard error of the difference was accepted as demonstrating that the curves were different.


    Results
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
Appendix
References

Paclitaxel Efflux from CEM and CEM/VLB100. Measurements of initial rate kinetics for paclitaxel efflux at 4 and 37°C were performed using cells loaded with varying initial concentrations of paclitaxel between 0.3 and 2 µM. The lowest initial concentration used was limited by the specific activity of the [3H]paclitaxel available, combined with a requirement for cpm per collected sample at least 10-fold above background. Results of a representative experiment fitted to theory are shown; the data are well described by the theoretical curve (Fig. 3). For the experiments described, r2 averaged 0.9990 ± 0.0005 and 0.9982 ± 0.0013 for CEM cells and CEM/VLB100 cells, respectively. The amount of drug in CEM cells was greater for both compartments compared with CEM/VLB100 cells as a function of paclitaxel concentration (Fig. 4), with the amount of drug in compartment A increasing linearly with concentration (CEM/VLB100 slope = 166 ± 10 pmol/µM/107 cells versus CEM slope = 232 ± 12 pmol/µM/107 cells, p < 0.001), whereas compartment B appeared to saturate with increasing paclitaxel concentration (Bmax = 146 ± 11 pmol/107 cells, k = 21 ± 12 nM for CEM cells versus Bmax = 108 ± 11 pmol/107 cells and k = 170 ± 60 nM for CEM/VLB100 cells, p < 0.02) in both cell lines.


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Fig. 3.   Fit of observed washout to the predicted model.

For these studies, 10 × 106 CEM/VLB100 cells were loaded with 1 mM [3H]paclitaxel in the medium for 30 min at 37°C. Cells were centrifuged, and the supernatant was removed and measured for equilibrium drug concentration. The cell pellet was resuspended in 0.2 ml of HBSS at 37°C, injected into the flow cell, and washed with HBSS buffer containing 1 g/l glucose at a flow rate of 1 ml/min. Aliquots were collected every 30 s. Radioactivity data were converted to pmol/107 cells. The observed time-dependent curve of residual paclitaxel in the flow cell was obtained by starting with the column contents at the end of the experiment and progressively adding earlier sample time points, ending with the first sample collected (open circle ). The extracellular equilibrium concentration of paclitaxel was used to normalize the paclitaxel washout curve, which was then subtracted from the overall flow cell curve to obtain the theoretical efflux curve given by eq. 3 (see Materials and Methods) (solid line; r2 = 0.9951). See Appendix for details on the calculation of the fitted curve.


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Fig. 4.   The effect of varying paclitaxel concentration on the amount of drug in each compartment in CEM () and resistant CEM/VLB100 (open circle )cells.

The amount of drug in compartment A (A) and compartment B (B) was obtained by fitting the proposed model (eq. 3) to the observed drug washout data as described under Materials and Methods and Appendix. A, solid and dashed lines represent the best linear fit to the data for CEM and CEM/VLB100 cells, respectively, forced through zero. B, lines represent the fit to the observed data using the Michaelis-Menten equation to model the trend. Each point represents the average and standard deviation of at least three experiments.

Comparison of the two compartments was performed by calculating the initial efflux rate from each compartment as a function of amount of drug in the compartment (Fig. 5). The initial rate of efflux from compartment A seemed to be linear with increasing drug concentration, and statistical analysis showed that the slope of the linear fit for CEM/VLB100 cells was different from the linear fit for the slope for CEM cells (CEM/VLB100 slope = 317 ± 27 pmol/min/µM/107 cells; CEM, 174 ± 33 pmol/min/µM/107 cells, p < 0.001, Fig. 5A). In contrast, the initial rate of efflux from compartment B appeared to be saturable. Fitting the initial velocity of efflux from compartment B to the Michaelis-Menten equation using nonlinear regression yielded a Vmax of 9.1 ± 1.1 pmol/min/107 cells for the resistant CEM/VLB100 cells versus 3.5 ± 0.3 pmol/min/107 cells for the sensitive CEM cells (Table 1 and Fig. 5B, p < 0.02). These results are consistent with a saturable transporter, presumably Pgp.


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Fig. 5.   Initial rate kinetics of paclitaxel efflux and the effect of verapamil.

Plots of equilibrium internal paclitaxel concentration [S] versus initial rate of paclitaxel efflux velocity in pmol/min/107 cells for sensitive CEM (), resistant CEM/VLB100 cells (open circle ), and resistant CEM/VLB100 cells in the presence of 10 µM verapamil (Delta ) are presented. All experiments were performed at 37°C. A, comparison of data for compartment A with best linear fits forced through zero with the data for CEM and CEM/VLB100 cells in the presence or absence of verapamil. B, data for compartment B for CEM and CEM/VLB100 cells in the presence or absence of verapamil, fitted to the Michaelis-Menten equation. Solid and dashed lines, best linear fit to the data for CEM and CEM/VLB100 cells, respectively. Each point represents the average and standard deviation of at least three experiments.

                              
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TABLE 1
Estimates of Michaelis-Menten parameters by nonlinear regression analysis

Statistical analysis was done by comparing the difference in parameter estimates with the standard error of the difference.

Effects of Verapamil and Temperature on Paclitaxel Efflux from CEM/VLB100. To test the hypothesis that the difference in Vmax observed was due to Pgp, the effect of verapamil, a known inhibitor of Pgp function, on paclitaxel efflux in CEM/VLB100 cells was studied. When CEM/VLB100 cells were pretreated with 10 µM verapamil, paclitaxel efflux from compartment B was decreased (Vmax = 1.6 ± 0.2 pmol/min/107 cells) below CEMVLB100 cells in the absence of verapamil (p < 0.01) and also below the sensitive CEM cells in the absence of verapamil (p < 0.02), suggesting a large contribution of Pgp to the maximum rate of paclitaxel efflux from compartment B efflux (Fig. 5B, Table 1). These results indicate that compartment B kinetics in CEM/VLB100 cells is a verapamil-sensitive process, consistent with Pgp.

Of note, there was also a decrease in the paclitaxel efflux from compartment A in the presence of verapamil (slope = 210 ± 23 pmol/min/µM/107 cells, Fig. 5A), which was significantly different from the efflux slope without verapamil (p < 0.002) but approached that of the parent CEM line (p = 0.06).

Since Pgp-mediated efflux is a protein-related process, it should be more temperature-sensitive than passive efflux; therefore, paclitaxel efflux studies were also performed in CEM/VLB100 cells at 4°C. Compartment A efflux was decreased by about 3-fold; in comparison, compartment B efflux was decreased more than 10-fold (Fig. 6). Compartment B data for 4°C was not well fitted with a Michaelis-Menten equation (km = 4.8 ± 10.3 µM and Vmax = 2.9 ± 5.3 pmol/min/107 cells), so comparison of parameters could not be done; however, the difference between the CEM/VLB100 estimated curve for 37°C and each data point at 4°C was at least 4.5 times the standard error of the difference, consistent with a p value less than 0.02. 


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Fig. 6.   Temperature dependence of paclitaxel efflux.

Plots of equilibrium internal paclitaxel concentration, ([S], µM) versus initial rate of paclitaxel efflux (v, pmol/min/107 cells) for resistant CEM/VLB 100 cells at 37°C (open circle ) versus 4°C (black-square) are presented. A, the results for compartment A, statistical analysis by F test, slope of CEM/VLB100 at 37 versus 4°C, p < 0.0001. B, results for compartment B. Each point represents the average and standard deviation of at least three experiments.


    Discussion
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
Appendix
References

Resistance of cancer cells to the cytotoxic effects of structurally diverse chemotherapeutic agents (MDR) appears to be mediated in many cases by overexpression of membrane transporters capable of transporting a wide variety of substrates; however, the in situ kinetic properties of these transporters are not completely understood. Drug transport by purified, reconstituted Pgp, the best characterized of these transporters, coupled with ATP hydrolysis has been demonstrated for a number of substrates (Sharom et al., 1993, 1996; Eytan et al., 1994, 1996; Shapiro and Ling, 1995); however, it has been argued that the kinetic constants derived in these studies appear inadequate to account for the differences in drug accumulation observed (Demant et al., 1990; Bornmann and Roepe, 1994; Roepe, 1995).

Flow cell assays (Frank et al., 1977; Spoelstra et al., 1992) use the entire cell aliquot for the duration of the experiment and allow continuous monitoring of drug efflux and measurement of kinetic parameters in an intact cell system. However, such assays have been limited by the requirement for attached cells (Frank et al., 1977; Spoelstra et al., 1992). Thus, we developed a simple, disposable flow cell assay for analyzing drug efflux in malignant cells grown in suspension culture. Although it is possible that binding of cells to conA-seph could alter drug efflux via membrane interactions, a number of investigators using different methodologies (Spoelstra et al., 1992; Wadkins and Houghton, 1993; Bornmann and Roepe, 1994) have noted a two-exponential retention curve for a variety of drugs, suggesting that at least the qualitative aspects of drug efflux are preserved in our system.

CEM/VLB100 cells were highly resistant to paclitaxel compared with the parent CCRF-CEM line (data not shown), consistent with previous observations of cross-resistance to paclitaxel in other Pgp-overexpressing cells (Horwitz et al., 1993; Bhalla et al., 1994; Dumontet et al., 1996). Although our experiments were limited by the specific activity of the radioactive paclitaxel, we were able to examine a range of drug concentrations from below the measured human peak plasma concentrations (Rowinsky and Donehower, 1996) to 10-fold higher, encompassing a clinically relevant range.

It was noted that both the paclitaxel washout curve and the cellular drug efflux curve exhibited an initial shoulder (Figs. 2 and 3), which does not occur when directly observing drug efflux from cells (Wadkins and Houghton, 1993; Bornmann and Roepe, 1994). However, in a flow cell the drug is not collected immediately upon its exit from the cell membrane but must first be washed out of the flow cell. Our mathematical model for this physical process automatically produces the shoulder observed in the data, without requiring any manipulation of the equations. Thus, we believe this shoulder occurs due to the physical properties of the flow cell. Since the measured time constants for buffer washout, the rapid phase of drug washout, and the rapid phase of drug efflux from the cells were all relatively close to each other, none of these physical factors could be ignored (see Appendix). The experimental data demonstrated a very satisfactory fit to the theoretical model.

The flow cell was clearly able to differentiate between the kinetics of wild-type and Pgp-overexpressing CEM cells. In both the sensitive and resistant cell lines, there was an initial rapid efflux proportional to the calculated equilibrium internal drug concentration, compatible with a passive efflux process. Notably, this initial rapid efflux was increased in the resistant cells as compared with the sensitive cells, and was partially inhibited by the addition of verapamil. This could represent an alteration in passive diffusion, consistent with the membrane model of Pgp action (Demant et al., 1990; Wadkins and Houghton, 1993; Pawagi et al., 1994; Seydel et al., 1994; Drori et al., 1995; Ayesh et al., 1996), or passive diffusion plus the tail end of a very high capacity, relatively low-affinity transport mechanism. Further studies with the use of energy poisons such as sodium azide or 2-deoxyglucose may help resolve this, although such poisons can also affect intracellular pH, which has also been suggested as a mechanism of Pgp action (Roepe, 1995).

In CEM/VLB100 cells, terminal efflux (compartment B) was also increased compared with wild-type CEM cells, saturable, preferentially inhibited with the Pgp inhibitor verapamil, and almost completely abolished at 4°C, consistent with a carrier-mediated transport model of Pgp (Horio et al., 1988; Jusa and Tsuruo, 1989; Higgins and Gottesman, 1992; Sharom et al., 1993). Since the current studies were performed in zero-trans conditions (no external drug), we cannot address the question of whether such transport is active, which would require demonstrating transport against a gradient.

Since CEM/VLB100 cells were selected for vinca alkaloid resistance, an alternative explanation for these findings is that there could be alterations in tubulin as well as transport, resulting in decreased binding of drug to its target and a more rapid terminal efflux phase in the resistant cell subline (Sirotnak et al., 1986; Pain et al., 1988). However, CEM/VLB100 cells have not been reported to have altered tubulins. Furthermore, if the observed changes in the terminal phase in our studies are caused by decreased binding of paclitaxel to tubulin in CEM/VLB100 cells, it is not obvious why this binding should be affected by verapamil, which clearly decreased paclitaxel efflux in our studies.

Our results show alterations in both efflux compartments in the resistant cells, suggesting that both models of Pgp action may be operating in parallel. Interestingly, the alteration in the passive efflux component appeared to be significantly larger than the saturable component. One critique of the standard transport model of Pgp action is that the measured kinetic constants of carrier-mediated transport of Pgp (albeit with other drugs) appeared to be too small to counteract passive influx. It appears, at least in the CEM/VLB100 cell line, that alterations in passive efflux are a significant contributor to decreased intracellular concentrations. Our observations are consistent with those of Wielinga and colleagues (2000), who observed a significant contribution of passive efflux to P-glycoprotein-mediated anthracycline efflux. However, because CEM/VLB100 cells were derived by exposure to drug in vitro, we cannot rule out the possibility that some of the effects we observed may be due to additional resistance mechanisms aside from overexpression of Pgp, such as alterations in membrane lipids (reviewed in Ferte, 2000).

Our flow cell method produced results that are at least qualitatively similar to other reports and could represent a relatively simple and rapid method to obtain initial kinetic rate constants in intact suspension cells. This method has the advantage of not requiring that cells be subjected to the potentially deleterious effects of azide, MDR reversal agents, or other treatments, or to the rigors of vesicle preparation. In addition, it has the advantage of displaying all components of drug efflux quantitatively and simultaneously. In contrast to fluorescent microscopy or flow cytometry methods, it does not require specialized equipment and uses widely available radioactive compounds. However, unlike those methods, this approach cannot examine single-cell drug kinetics. Furthermore, since it requires a relatively small sample per assay, this technique may be useful in studying drug efflux in clinical samples.

To validate this promising methodology, it will be necessary to perform flow cell studies in cells transfected with, and overexpressing transporters using, drugs whose kinetic parameters have been previously reported in the literature to confirm that similar results can be obtained, and such studies are in progress.

    Acknowledgments

We thank Dr. Yogesh C. Awasthi, Professor, Human Biological Chemistry and Genetics for helpful discussions and support, Dr. Judah Rosenblatt, Office of Biostatistics, for assistance with the statistical analysis, and Dr. Don Powell, Chairman of Medicine and Dr. W. Stratford May, Chief, Division of Hematology/Oncology for their support.

    Footnotes

Received May 12, 2000; accepted October 18, 2000.

1 Current address: United States Environmental Protection Agency, Research Triangle Park, NC 27711.

2 Current address: University of Texas Arlington, Department of Chemistry and Biochemistry, P.O. Box 19065, Arlington, TX 76019.

This work was supported in part by National Institutes of Health Grant CA63660 (to S.A.).

Send reprint requests to: James Lin, M.D., Dept. of Internal Medicine, Division of Hematology/Oncology, 301 University Boulevard, University of Texas Medical Branch, Galveston, TX 77555-0565. E-mail: jlin{at}utmb.edu

    Abbreviations

Abbreviations used are: MDR, multidrug resistance; conA, concanavalin A; conA-seph, concanavalin A linked to Sepharose-4B; HBSS, Hanks' balanced salt solution; Pgp, P-glycoprotein.

    Appendix. Derivation of Theoretical Efflux Curve
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Abstract
Introduction
Materials and Methods
Results
Discussion
Appendix
References

For the drug to reach the collector, it must first efflux from the cell and then be washed out of the flow cell. Thus, the physics that determines the experimental curve reflects not only drug efflux from the cell but also the characteristics of buffer flow and washout of the drug. We have first considered the simplified case of a single exponential cell efflux curve (time constant tau ) and superposed solutions to obtain the results for each component of the measured efflux curve.

Assume the amount of drug remaining in the cells [f(t)] at time t can be described by single exponential decay (eq. 5), where A represents the amount of drug in the compartment. The fraction of drug remaining in the flow cell W(t) at time t would be described by single exponential decay as well (eq. 5).
f(t)=A · e<SUP>(−t/&tgr;)</SUP>. (5)

<UP>W</UP>(t)=e<SUP>(−t/T)</SUP>. (6)
At time t, the amount of drug efflux from the cells in time dt is as follows:
<FENCE><FR><NU>df(t)</NU><DE>dt</DE></FR></FENCE> · dt=<FENCE><UP>−</UP><FR><NU>A</NU><DE>&tgr;</DE></FR></FENCE> · e<SUP>(−t/&tgr;)</SUP>dt (7)
and the fraction of that amount which is washed out from the column at time t0 is as follows:
<FR><NU>dW(t<SUB>0</SUB>−t)</NU><DE>dt</DE></FR>=<FENCE><UP>−</UP><FR><NU>1</NU><DE>T</DE></FR></FENCE> · e<SUP>[−(t<SUB>0</SUB>−t)/T]</SUP>. (8)
Multiplying these two terms together gives the contribution of the drug efflux from the cells at time t to the drug efflux from the column at a later time t0. The total amount of drug efflux from the column at time t0, g(t0), is the sum (integral) of these individual terms:
<UP>g</UP>(t<SUB>0</SUB>)=<LIM><OP>∫</OP><LL>0</LL><UL>t<SUB>0</SUB></UL></LIM><FENCE><UP>−</UP><FR><NU>A</NU><DE>&tgr;</DE></FR></FENCE> · e<SUP>(−t/&tgr;)</SUP> · <FENCE><UP>−</UP><FR><NU>1</NU><DE>T</DE></FR></FENCE> · e<SUP>[−(t<SUB>0</SUB>−t)/T]</SUP>dt (9)

=<FENCE><FR><NU>A</NU><DE>(&tgr;−T)</DE></FR></FENCE> · [e<SUP>(−t<SUB>0</SUB>/&tgr;)</SUP>−e<SUP>(−t<SUB>0</SUB>/T)</SUP>].
Then F(t), the observed drug retention curve, is the integral of g(t) integrated between time 0 and time t:
<B><IT>F</IT></B>(t)=<FENCE><FR><NU>A</NU><DE>(&tgr;−T)</DE></FR></FENCE> · [&tgr; · e<SUP>(−t/&tgr;)</SUP>−T · e<SUP>(−t/T)</SUP>]. (10)
To show that this equation is in accord with expectation, consider the case tau  > T, that is, if cell efflux is slower than drug washout from the column. In this case, we would expect the retention curve to be largely determined by the efflux kinetics of the cell, since that is the rate-limiting step. As t increases, the first exponential term would predominate, and F(t) would parallel f(t) with a time delay of tau  · ln[tau /(tau  - T)]. Thus, the mathematics predicts the existence of an initial shoulder leading to a time delay, such as was observed experimentally.

As noted above, this equation assumes that both f(t) and W(t) are described by a single exponential curve. To obtain the solution if f(t) is described by a two-exponential curve, we simply calculate the results separately for each exponential term and sum them together.

Now, the inherent washout characteristics of buffer are also well described experimentally by a one-compartment model, and the experimentally derived washout of paclitaxel from the flow cell in the absence of cells appeared to be best described by a two-compartment model, modified by the washout of the buffer. Since the equation for buffer washout
<UP>w</UP>(t)=e<SUP>(−t/T)</SUP> (11)
is the same form as W(t) and the equation for drug washout
<UP>W</UP>(t)=&agr; · e<SUP>(−t/T<SUB>1</SUB>)</SUP>+(1−&agr;) · e<SUP>(−t/T<SUB>2</SUB>)</SUP> (12)
is in the same form as f(t), we can use the same reasoning as above to derive the equation that describes the measured washout of paclitaxel from the flow cell. Thus, into eq. 10, we now substitute first alpha  and T1, the fractional size and time constants of the initial washout compartment for paclitaxel, in place of A, and add to that the same equation but with (1 - alpha ) and T2, the fractional size and time constant of the terminal washout compartment, for B, to yield the measured washout curve W(t). Thus,
<B><IT>W</IT></B>(t)=<FENCE><FR><NU>&agr;</NU><DE>(T−T<SUB>1</SUB>)</DE></FR>+<FR><NU>(1−&agr;)</NU><DE>(T−T<SUB>2</SUB>)</DE></FR></FENCE> · T · e<SUP>(−t/T)</SUP>−<FENCE><FR><NU>&agr; · T<SUB>1</SUB></NU><DE>(T−T<SUB>1</SUB>)</DE></FR></FENCE> · e<SUP>(−t/T<SUB>1</SUB>)</SUP> (13)

+<FENCE><FR><NU>(1−&agr;) · T<SUB>2</SUB></NU><DE>(T−T<SUB>2</SUB>)</DE></FR></FENCE> · e<SUP>(−t/T<SUB>2</SUB>)</SUP>.
This equation is then fit to the measured paclitaxel washout curve to obtain the parameters alpha  , T1, and T2. Now, it is this curve that modifies the inherent efflux kinetics of the cells to obtain the final observed experimental curve. Assuming linear superposition of solutions, eq. 13 is plugged into eq. 10, again with a two-compartment efflux assumed, to derive the equation for the observed efflux curve (eq. 3, see Materials and Methods). This curve is then fitted to the measured paclitaxel efflux curve using the parameters T, alpha , T1, and T2 previously derived by fitting the observed flow cell washout kinetics and the observed paclitaxel washout kinetics, to obtain the parameters A, B, tau 1, and tau 2, which describe the inherent efflux kinetics of the cell. If paclitaxel washout fitted a one-component curve (i.e., alpha  = 1), then the equation would simplify to
<B><IT>F</IT></B>(t)=

  A · <FENCE><AR><R><C> <FENCE><FENCE><FR><NU>1</NU><DE>(T−T<SUB>1</SUB>)</DE></FR></FENCE> · <FR><NU>T</NU><DE>(&tgr;<SUB>1</SUB>−T)</DE></FR> · <FENCE>&tgr;<SUB>1</SUB> · e<SUP>(−t/&tgr;<SUB>1</SUB>)</SUP>−T · e<SUP>(−t/T)</SUP></FENCE></FENCE></C></R><R><C>−<FENCE><FR><NU>T<SUB>1</SUB></NU><DE>(T−T<SUB>1</SUB>) · (&tgr;<SUB>1</SUB>−T<SUB>1</SUB>)</DE></FR></FENCE> · <FENCE>&tgr;<SUB>1</SUB> · e<SUP>(−t/&tgr;<SUB>1</SUB>)</SUP>−T<SUB>1</SUB> · e<SUP>(−t/T<SUB>1</SUB>)</SUP></FENCE></C></R></AR></FENCE>

+B · <FENCE><AR><R><C> <FENCE><FENCE><FR><NU>1</NU><DE>(T−T<SUB>1</SUB>)</DE></FR></FENCE> · <FR><NU>T</NU><DE>(&tgr;<SUB>2</SUB>−T)</DE></FR> · <FENCE>&tgr;<SUB>2</SUB> · e<SUP>(−t/&tgr;<SUB>2</SUB>)</SUP>−T · e<SUP>(−t/T)</SUP></FENCE></FENCE></C></R><R><C>−<FENCE><FR><NU>T<SUB>1</SUB></NU><DE>(T−T<SUB>1</SUB>) · (&tgr;<SUB>2</SUB>−T<SUB>1</SUB>)</DE></FR></FENCE> · <FENCE>&tgr;<SUB>2</SUB> · e<SUP>(−t/&tgr;<SUB>2</SUB>)</SUP>−T<SUB>1</SUB> · e<SUP>(−t/T<SUB>1</SUB>)</SUP></FENCE></C></R></AR></FENCE>.
Note also that as T and T1 go to zero (i.e., the ideal case where the drug is immediately collected as it effluxes from the cell, F(t) reduces to f(t) as expected.

    References
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
Appendix
References


0090-9556/01/2902-103-110$3.00
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