A Combined Patch-Clamp and Electrorotation Study of the Voltage- and Frequency-Dependent Membrane Capacitance Caused by Structurally Dissimilar Lipophilic Anions

Abstract

Interactions of structurally dissimilar anionic compounds with the plasma membrane of HEK293 cells were analyzed by patch clamp and electrorotation. The combined approach provides complementary information on the lipophilicity, preferential affinity of the anions to the inner/outer membrane leaflet, adsorption depth and transmembrane mobility. The anionic species studied here included the well-known lipophilic anions dipicrylamine (DPA⁻), tetraphenylborate (TPB⁻) and [W₂(CO)₁₀(S₂CH)]⁻, the putative lipophilic anion and three new heterocyclic W(CO)₅ derivatives. All tested anions partitioned strongly into the cell membrane, as indicated by the capacitance increase in patch-clamped cells. The capacitance increment exhibited a bell-shaped dependence on membrane voltage. The midpoint potentials of the maximum capacitance increment were negative, indicating the exclusion of lipophilic anions from the outer membrane leaflet. The adsorption depth of the large organic anions DPA⁻, TPB⁻ and increased and that of W(CO)₅ derivatives decreased with increasing concentration of mobile charges. In agreement with the patch-clamp data, electrorotation of cells treated with DPA⁻ and W(CO)₅ derivatives revealed a large dispersion of membrane capacitance in the kilohertz to megahertz range due to the translocation of mobile charges. In contrast, in the presence of TPB⁻ and no mobile charges could be detected by electrorotation, despite their strong membrane adsorption. Our data suggest that the presence of oxygen atoms in the outer molecular shell is an important factor for the fast translocation ability of lipophilic anions.

Introduction

Lipophilic ions such as dipicrylamine (DPA⁻), tetraphenylborate (TPB⁻) and tetraphenylphosphonium (TPP⁺) have been extensively used in biophysical studies as field-sensitive molecular probes which yield information about the structural and physicochemical properties of biological and artificial lipid membranes (Benz, 1988; Oberhauser & Fernandez, 1995; Lu et al., 1995; Wu & Santos-Sacchi, 1998; Schamberger & Clarke, 2002). Unlike most other charged molecules, lipophilic ions readily permeate biological membranes and introduce substantial intrinsic mobile charges within the lipid bilayer, which in turn influence both carrier-assisted and channel-mediated membrane transport (Läuger et al., 1981; Klodos, 2003; Blunck, Chanda & Bezanilla, 2005). Recently, a number of structurally dissimilar lipophilic anions have been found to be very potent inhibitors of volume-sensitive ion channels in mammalian cell membranes (Sukhorukov et al., 2005).

In addition to the well-known DPA⁻ and TPB⁻, several new classes of lipid-soluble anions with a variety of applications have been identified in recent years. Among others, a number of lipophilic tungsten pentacarbonyl anions, such as [W(CO)₅(SC₆H₅)]⁻, [W₂(CO)₁₀(S₂CH)]⁻ (WW⁻) and their analogues, have been proved to be valuable molecular probes for membrane structure and transport studies in living cells (Kürschner et al., 1998; Sukhorukov et al., 2001a). In contrast to the generally toxic derivatives of TPB⁻ and other large organic anions (Arnold et al., 1988), most anionic derivatives of W(CO)₅ exhibit fairly low toxicity in mammalian cells, allowing their use not only in biophysical studies but also in biotechnology, particularly for electromanipulation of cells. It is noteworthy that doping cell membranes with tungsten carbonyl anions improves significantly the electrotransfection efficiency of mammalian cells by preventing electrolyte leakage from the cytosol and stabilizing cell volume (Sukhorukov et al., 2005). A further advantage of this particular class of lipophilic anions is that the modular molecular design allows stepwise variation in charge, size, shape, degree of fluorination and chemical functions available for further derivatization (Kürschner et al., 2000; Reuss et al., 2002; Dilsky & Schenk, 2006).

Until now the interaction of tungsten pentacarbonyls with cell membranes has been studied exclusively by means of AC electrokinetic techniques including electrorotation (ROT) and dielectrophoresis (Kürschner et al., 1998; Reuss et al., 2002). Cells treated with micromolar concentrations of W(CO)₅ derivatives exhibit an additional peak in their ROT spectra (i.e., in the frequency dependence of ROT speed) due to a strong dielectric dispersion of the plasma membrane capacitance. This dispersion results from the AC field-mediated translocation of the adsorbed lipophilic anions between two membrane boundaries accompanied by a marked (some 10-fold) capacitance increment (ΔC_LI) at low frequencies. From the ROT spectra, the amount of mobile charges and their translocation rate constants (k_i) across the plasma membrane can be evaluated by applying an appropriate dielectric model (Sukhorukov & Zimmermann, 1996; Sukhorukov et al., 2001b).

Despite extensive AC electrokinetic studies, little is known about the relationships between the molecular structure of lipophilic ions and their binding and transport kinetics in cell membranes. This in part can be explained by the experimental limitations of the ROT technique, which suffers from the inability to resolve slow charge relaxations in cell membranes. Since the low frequency limit of ROT is about 100 Hz, this method is only useful for the detection of relatively fast mobile charges (with k_i > ∼10³ s⁻¹), giving rise to a membrane dispersion in the kilohertz to megahertz frequency range. Examples of slow mobile charges are TPB⁻ and TPP⁺, which exhibit k_i values of ∼10 s⁻¹ and 10⁻²–10⁻³ s⁻¹, respectively, as shown in earlier studies on artificial lipid bilayers and vesicles (Ketterer, Neumcke & Läuger, 1971; Benz, Läuger & Janko, 1976; Flewelling & Hubbell, 1986).

Electrophysiological methods represent an independent approach to the study of cell membranes doped with lipophilic ions (Lu et al., 1995; Benz & Nonner, 1981; Fernandez, Taylor & Bezanilla, 1983; Chanda et al., 2005). Although standard patch-clamp techniques do not allow the determination of fast translocation rates (due to the high impedance of the microelectrodes), these methods can be used to monitor the displacement of slow mobile charges not detectable by ROT. Moreover, voltage-clamp measurements can yield information on the voltage-dependent capacitance induced by lipophilic ions, which in turn can be related to the depth of the adsorption sites of lipophilic anions and their distribution between the inner and outer membrane leaflets.

The aim of the present study was to gain deeper insight into the relationships between the structure and membrane transport properties of lipophilic anions by combining the capabilities of electrophysiological and AC electrokinetic methods. To this end, comparative patch-clamp and ROT measurements were performed on the human cell line HEK293 treated with a wide range of structurally dissimilar anionic compounds, including the well-known lipophilic anions DPA⁻, TPB⁻, WW⁻, the putative lipophilic anion as well as three newly synthesized heterocyclic derivatives of W(CO)₅. In addition to HEK293 cells, effects of these compounds on human lymphocytes (Jurkat line) and on Xenopus oocytes were examined by means of ROT and the two-electrode voltage-clamp (TEVC) technique, respectively.

Materials and Methods

Chemicals and Synthesis of the Tungsten Pentacarbonyl Complex Salts

The starting materials for the synthesis of the new tungsten pentacarbonyl complexes WO⁻, WN⁻ and WS⁻ (Fig. 1), including 2-mercaptobenzoxazole, 2-mercaptobenzimidazole and 2-mercaptobenzothiazole, were obtained from Sigma-Aldrich (Taufkirchen, Germany). The tungsten complex salts WO⁻, WN⁻ and WS⁻ were prepared as follows: 5.5 mmol of the respective heterocycle and subsequently a solution of Et₄N(W[CO]₅Cl) (2.45 g, 5.0 mmol) in tetrahydrofuran (12 ml) were added to a solution of sodium (0.14 g, 6.0 mmol) in ethanol (15 ml). The mixture was stirred for 2 h at 20°C and then vacuum-evaporated. The dark brown semisolid residue was dissolved in tetrahydrofuran (10 ml). The solution was filtered through a layer of silica gel and celite. Hexane (150 ml) was added slowly at 0°C, and the yellow precipitate thus formed was collected by filtration, washed three times with hexane and dried under vacuum (for further details, see also Strohbusch et al., 1979; Abel, Reid & Butler, 1963).

Fig. 1.

Structures of the lipophilic anions studied here (notation, salt formula, chemical name): WO⁻, Et₄N⁺[W(CO)₅(SCNOC₆H₄)]⁻, tetraethylammonium-benzoxazolidin-2-thion-1-yl-pentacarbonyltungstate; WN⁻, Et₄N⁺[W(CO)₅(SCN₂HC₆H₄)]⁻, tetraethylammonium-benzimidazolidin-2-thion-1-yl-pentacarbonyltungstate; WS⁻, Et₄N⁺[W(CO)₅(SCNSC₆H₄)]⁻, tetraethylammonium-benzothiazolidin-2-thion-1-yl-pentacarbonyltungstate; WW⁻, Et₄N⁺[W₂(CO)₁₀(μ-S₂CH)]⁻ tetraethylammonium decacarbonyl-μ-dithioformiato-ditungstate; DPA⁻, dipicrylamine (2,2',4,4',6,6'-hexanitrodiphenylamine); TPB⁻, Na⁺[B(C₆H₅)₄]⁻ sodium tetraphenylborate; B(CF₃)⁻₄, Cs⁺[B(CF₃)₄]⁻, cesium tetrakis-(trifluormethyl)-borate

The synthesis of the tetrabutylammonium salts of WO⁻, WN⁻ and WS⁻ by a somewhat different route has been recently described by Asali, El-Khateeb & Battaineh (2003). These authors assumed that the heterocycles are coordinated to the W(CO)₅ unit through the sulfur atom. ¹³C nuclear magnetic resonance (both in solution and in the solid state) and X-ray crystal structure determination of the tetraphenylphosphonium salt of WO⁻, however, clearly show that the heterocycles are N-coordinated in all three cases. Details of this will be the subject of a forthcoming publication.

WW⁻ was synthesized and purified by crystallization as described elsewhere (Kürschner et al., 1998). DPA⁻ was purchased from Dynamit Nobel (Leverkusen, Germany). CsB(CF₃)₄ was kindly provided by Prof. H. Willner (University of Wuppertal, Wuppertal, Germany). The synthesis of the tetrakis(trifluoromethyl)borate anion and the properties of the salt CsB(CF₃)₄ have been reported elsewhere (Bernhardt et al., 2001).

Xenopus Oocytes

Breeding of female South African clawed toads (Xenopus laevis), ovariectomy, defolliculation and maintenance of oocytes were performed according to the standard procedures described elsewhere (Nagel et al., 1997). Individual stage V–VI oocytes were obtained from anesthetized frogs and isolated by collagenase treatment using Ca²⁺-free oocyte Ringer solution ([in mm] 110 NaCl, 5 KCl, 1 MgCl₂, 5 4-[2-hydroxyethyl]-1-piperazineethanesulfonic acid [HEPES]; pH was adjusted to 7.73 by addition of appropriate amounts of NaOH). Single oocytes were stored in an equal solution supplemented with 2 mm CaCl₂ and 40 mg/l gentamycin at 16°C for 2−6 days; solution was changed every 2 days during storing. Prior to measurements, oocytes were transferred to ND96 solution (see below) and kept at 16°C.

Mammalian Cell Culture

The human T-lymphocyte cell line Jurkat and the HEK293 human embryonic kidney cell line (hereafter referred to as “HEK” cells) were used in the present study. Jurkat cells were cultured in complete growth medium (CGM) containing RPMI 1640 supplemented with 10% fetal calf serum (Hyclone, Logan, UT), 2 mml-glutamine, 100 U/ml penicillin, 100 μg/ml streptomycin, 2 mm sodium pyruvate, 1 × minimal essential medium (MEM) nonessential amino acids (PAA, Linz, Austria) and 50 μm 2-mercaptoethanol (Sigma, Deisenhofen, Germany). HEK cells were cultured in Dulbecco’s MEM (DMEM, PAA) supplemented with 10% fetal calf serum, 100 U/ml penicillin and 100 μg/ml streptomycin. Both cell types were cultured at 37°C under 5% CO₂. The cultures were split twice or thrice weekly to keep the cells in the exponential growth phase.

Electrophysiological Measurements

Extracellular solution ND96 used in experiments on oocytes contained (in mm) 96 NaCl, 2 KCl, 1.8 CaCl₂, 1.0 MgCl₂ and 5.0 HEPES (pH was adjusted to pH 7.4 by appropriate addition of NaOH). In patch-clamp experiments on HEK cells the bath solution contained (in mm) 140 NaCl, 2.0 CaCl₂, 2.0 MgCl₂ and 10.0 HEPES (pH was adjusted to pH 7.4 by appropriate addition of NaOH). Patch pipette solution contained (in mm) 110 KCl or 110 NaCl, 2.0 MgCl₂, 10.0 ethyleneglycoltetraacetic acid (EGTA) and 10.0 HEPES (pH was adjusted to pH 7.4 by appropriate addition of KOH or NaOH, respectively). The osmolality of the medium was measured using a Semi-Micro-Osmometer (Knauer, Berlin-Zehlendorf, Germany). The osmolarities of the media were determined to be 215 mOsm and 250–270 mOsm in the case of oocytes and HEK cells, respectively.

Stock solutions of lipophilic ions were prepared by use of weight balance in dimethyl sulfoxide (DMSO, 25–50 mm). In the case of DPA, the concentration of the stock solution in DMSO was 5 mm as determined photometrically (ε_DPA = 2.38 10⁴ m · cm⁻¹). Stock solutions were kept at 4°C in the dark. Measuring solutions containing lipophilic ions in the range 5–50 μm were made proximate before their use in an experiment. Solutions containing lipophilic ions were kept in the dark during the time of the experiments.

TEVC measurements were performed on freshly isolated oocytes (1–3 days) at room temperature using a Turbotec05 amplifier (NPI Electronics, Tamm, Germany). Oocytes were subjected to various voltage-clamp protocols in the absence and presence of lipophilic ions. During electrophysiological recording, oocytes were continuously perfused with the corresponding extracellular solution (see above). Micropipettes (GB 150F-8P, 0.86 × 1.50 × 80 mm with filament; Science Products, Hofheim, Germany) with a tip opening of 2–4 μm diameter prepared by use of a dual-stage glass micropipette puller (model PC-10; Narishige, London, UK) were filled with a 3 m KCl solution. The corresponding pipette resistances measured in extracellular solution (see above) were in the range 0.5–2.5 MΩ.

The patch-clamp setup was installed on a vibration-attenuated table. Current recordings were performed in the whole-cell configuration under voltage-clamp conditions using an Axopatch 200 A voltage-clamp amplifier coupled to a DigiData 1200 interface (Axon Instruments, Union City, CA). Patch-clamp pipettes were fabricated from borosilicate glass capillaries with an internal filament (GC150F-15 or GC150TF-15 glass, external diameter 1.5 mm, wall thickness 0.25 mm; Harvard Apparatus, Holliston, MA). They were pulled on a three-stage horizontal puller (DMZ Universal Puller; Zeitzinstrumente, Martinsried, Germany). Pipettes with a tip diameter of 1–3 μm were used for measurements in the whole-cell configuration. The corresponding pipette resistances measured in the bath solution (see above) were in the range 2–4 MΩ.

Liquid junction potentials arising at the external Ag/AgCl reference electrode under TEVC and patch-clamp recording conditions were avoided by a salt bridge (containing 1.5% agarose in 3 m or 150 mm KCl) between the reference bath (containing 3 m KCl) and the measuring chamber. Data were low pass-filtered at 5 or 10 kHz and digitized at a sampling rate of 10–100 kHz using Clampex 8.2 and 9.2 (Axon Laboratories, Union City, CA). For data analysis, the software programs Clampfit 9.2 (Axon Laboratories) and Origin 7.5 (OriginLab, Northampton, MA) were used. All TEVC and patch-clamp experiments were performed at room temperature (about 22°C). For determination of the capacitance in the TEVC and patch-clamp experiments, the cells were subjected to ramp protocols (dU/dt = 0.1–2 V/s) starting from constant holding potentials between −175 and +70 mV (see Fig. 2). The resulting capacitive currents (I_c) were recorded and analyzed by use of the equation C_m = I_C (dU/dt)⁻¹. Membrane capacitance (C_m) was in a few cases also determined by analyzing the measured charge movement after application of voltage step protocols.

Fig. 2.

Patch-clamp measurements on HEK cells in the whole-cell configuration. a A typical voltage protocol applied to a HEK cell and the resulting current recording. Voltage ramps (ramp) are started from different holding potentials. Note that capacitive peak currents resulting after a voltage step (step) are shown only partly. b Current recordings after subjecting a HEK cell to a +2 V/s ramp starting from a holding potential at −75 mV in the presence and absence of 20 μm WO⁻, respectively. Dotted lines were used to determine the amplitude of corresponding capacitive currents, I_c

Electrorotation

Before electrorotation, the cells were washed one or two times with an isosmolar (300 mOsm) sorbitol solution, pelletted and resuspended in either iso- or hyposmolar (100 mOsm) sorbitol solution at a final cell density of 1 to 2 × 10⁵ cells/ml. Lipophilic ions (Fig. 1) were added to the cell suspension at final concentrations of 1–100 μm. To reach partition equilibrium for adsorption, the cells were incubated with lipophilic ions for 10–15 min before electrorotation measurements. The suspension conductivity (σ_e) was adjusted to 5–60 mS/m by addition of appropriate amounts of HEPES-KOH (pH 7.4). Conductivity and osmolality of the solutions were measured by means of a conductometer (Knick, Berlin, Germany) and a cryoscopic osmometer (Osmomat 030; Gonotec, Berlin, Germany), respectively.

Measurements of the field frequency (f_c1) inducing the fastest antifield rotation of cells were performed under low-conductivity conditions (σ_e < 5 mS/m) by the contrarotating field (CRF) technique using a four-electrode chamber that was described in detail previously (Arnold & Zimmermann, 1988). ROT spectra were measured in a microstructured four-electrode chamber arranged as a planar array of circular electrodes of 60 μm diameter, 140 nm thickness (20 nm Ta and 120 nm Pt) and 200 μm electrode spacing (Sukhorukov et al., 2001a). To produce rotating fields, the adjacent microelectrodes were driven by four 90° phase-shifted, symmetrical square-wave signals from a pulse generator (HP 8130A; Hewlett-Packard, Boeblingen, Germany) with 2.5–4.8 V_PP amplitude over the frequency range 100 Hz to 150 mHz.

A sample of cell suspension (50 μl) was added to the microstructure, and a coverslip was placed gently over its center. ROT spectra were monitored by decreasing the field frequency in steps (four frequency points per decade). At each field frequency, the rotation speed of an individual cell located near the center of the chamber was determined using a stopwatch. The ROT spectra were normalized to the field strength of 1 V_PP/100 μm. The cells were observed using a BX 50 microscope (Olympus, Hamburg, Germany) equipped with a charge-coupled device video camera (SSC-M370CE; Sony, Cologne, Germany) connected to a video monitor. Cell radii (a) were determined with a calibrated ocular micrometer.

Results

Electrophysiology

Both patch-clamp measurements on HEK cells and TEVC experiments on Xenopus oocytes revealed the capability of all anionic compounds tested in these experiments (including WO⁻, WW⁻, DPA⁻, TPB⁻, ) to induce a robust increment of membrane capacitance, ΔC_LI, over the range of holding membrane potentials of −170 to +80 mV (Figs. 3 and 4). The data points in Figures 3 and 4 are subtractions of the C_m data of untreated controls from C_m data measured in the presence of lipophilic ions. Control C_m values in both HEK cells and oocytes without lipophilic anions were nearly constant over the entire voltage range. The observed capacitance increments ΔC_LI obviously resulted from the presence of mobile charges in cell membranes of both cell types due to the adsorbed lipophilic anions.

Fig. 3.

Voltage dependence of the area-specific membrane capacitance increment (ΔC_LI) induced in HEK cells by the adsorbed lipophilic anions WO⁻ (a), WW⁻ (b), DPA⁻ (c) and TPB⁻ (d). Membrane capacitance was measured by whole-cell patch clamp. The plotted ΔC_LI data (symbols) were calculated by subtracting the capacitance values of control cells from those of cells treated with various anion concentrations: 5 μm (open circles), 20 μm (open squares) and 50 μm (filled circles). Curves are least-square fits of the first derivative of the Boltzmann function (equation 1). The fitted parameters are summarized in Table 1

Fig. 4.

Voltage dependence of the area-specific membrane capacitance increment (ΔC_LI) induced in Xenopus oocytes by the indicated lipophilic anions. Membrane capacitance was measured by the TEVC technique. The plotted ΔC_LI data (symbols) were calculated by subtracting the capacitance values of control cells from those of treated cells. Curves are least-square fits of the first derivative of the Boltzmann function (equation 1). For further details, see Table 2

As seen in Figures 3 and 4, the voltage dependence of the induced capacitance changes in HEK cells and Xenopus oocytes was bell-shaped for all lipophilic anions. The magnitude of the capacitance increment, ΔC_LI, increased with increasing anion concentration in extracellular medium. Qualitatively similar voltage-dependent capacitance changes were observed in the presence of 5–50 μm in both patch-clamped HEK cells (data not shown) and oocytes (Fig. 4).

The measured ΔC_LI–V_H relations could be approximated very well by the first derivative of the Boltzmann function given by equation 1 (see Appendix). Curve fitting yielded the maximum capacitance increment () at the midpoint potential (V_mid) and the slope parameter (α). The fitted values of , α and V_mid for the various lipophilic anions derived for patch-clamped HEK cells and from TEVC experiments on oocytes are summarized in Tables 1 and 2, respectively. The tables also include data for the surface density (N_t, nmol/m²) of the adsorbed lipophilic anions calculated as N_t = 4RT/(αF²) (Fernandez et al., 1983), as well as values of the area-specific membrane conductance (G_m) measured at zero holding voltage.

Table 1.

Effects of lipophilic anions on the plasma membrane capacitance and conductance in patch-clamped HEK293 cells

Lipophilic anion	Concentration (μm)	(mF/m2)	Nt(nmol/m2)	Vmid (mV)	α	Gm (0 mV) (μS/cm2)	n
WO−	5	37 ± 3	89 ± 8	8.6 ± 7.7	0.45 ± 0.05	69 ± 10	3
WO−	20	173 ± 7	445 ± 17	−29.6 ± 3.3	0.41 ± 0.02	308 ± 46	3
WO−	50	235 ± 16	628 ± 42	−53.5 ± 3.1	0.40 ± 0.04	484 ± 141	3
WW−	5	15 ± 2	34 ± 3	−31.7 ± 7.8	0.47 ± 0.06	70 ± 11	3
WW−	20	64 ± 4	97 ± 6	−32.7 ± 3.9	0.70 ± 0.06	75 ± 10	3
WW−	50	113 ± 7	177 ± 11	−44.8 ± 3.9	0.67 ± 0.05	88 ± 16	3
DPA−	5	58 ± 3	121 ± 7	−51.7 ± 4.8	0.51 ± 0.04	219 ± 18	3
DPA−	50	167 ± 14	423 ± 35	−58.2 ± 7.1	0.41 ± 0.05	451 ± 81	7
TPB−	5	32 ± 2	64 ± 3	−59.5 ± 3.7	0.52 ± 0.03	132 ± 44	3
TPB−	50	120 ± 9	353 ± 27	−61.4 ± 6.7	0.36 ± 0.04	327 ± 42	6
	5	29 ± 2	54 ± 3.7	−51.1 ± 5.1	0.56 ± 0.05	203 ± 31	3
	50	110 ± 11	313 ± 30	−56.0 ± 8.4	0.37 ± 0.07	240 ± 54	3

Table 2.

Effects of lipophilic anions on the plasma membrane capacitance and conductance of Xenopus oocytes

Lipophilic anion	Concentration (μm)	(mF/m2)	Nt (nmol/m2)	Vmid (mV)	α	Gm (0 mV) (μS/cm2)	n
WO−	20	70.4 ± 4.1	190.8 ± 11.0	−100.2 ± 5.8	0.39 ± 0.03	207 ± 97	5
WW−	50	37.0 ± 2.7	75.5 ± 5.5	−122.3 ± 5.7	0.52 ± 0.05	169 ± 73	4
WS−	20	58.4 ± 3.3	121.0 ± 6.9	−84.5 ± 4.2	0.51 ± 0.04	436 ± 34	3
DPA−	50	78.4 ± 2.7	143.0 ± 5.0	−94.9 ± 2.4	0.58 ± 0.03	269 ± 51	3
TPB−	50	42.1 ± 2.5	71.9 ± 4.3	−75.1 ± 4.0	0.62 ± 0.05	117 ± 28	4
	50	40 ± 2.8	44.2 ± 3.1	−60.6 ± 3.7	0.96 ± 0.09	178 ± 62	3

The following trends are evident from the data in Tables 1 and 2. In general, the capacitance increment, , and thus the concentration of adsorbed lipophilic anions, N_t, increased with increasing concentration c of lipophilic anions in extracellular medium. Except for HEK cells treated with 5 μm WO⁻ (Table 1), the peak capacitance increment was centered at negative (hyperpolarized) membrane potentials (V_mid < 0). Moreover, the midpoint potential, V_mid, became more negative with increasing concentration N_t of mobile charges in the cell membrane. In the case of large organic anions (DPA⁻, TPB⁻ and ), the slope parameter α decreased with increasing N_t. In contrast, in the case of anionic derivatives of W(CO)₅, α remained nearly unchanged (WO⁻) or increased (WW⁻) with increasing N_t.

In order to validate the above findings, we further analyzed the interactions of lipophilic compounds with cell membranes in the frequency domain by means of ROT. Since our ROT setup is not applicable to the large-sized Xenopus oocytes, ROT measurements were performed in parallel on two different human cell lines, HEK cells and Jurkat lymphocytes.

Electrorotation of Control Cells

The ROT spectrum of untreated Jurkat cells (Fig. 5a, open circles) suspended in 100 mOsm medium exhibited two peaks: an antifield peak (indicated by f_c1) centered at ∼160 kHz and a cofield peak at f_c2 ≈ 16 MHz. The spectrum could be fitted very accurately by the single-shell model (dotted curve), i.e., by a combination of equations 2 and 3 as shown in the Appendix. In agreement with this model, measurements of f_c1 by the CRF technique also revealed a strong linear dependence of the radius-normalized f_c1 value (f_c1 × a) on the external conductivity, σ_e (Fig. 5b). Linear regression of equation 4 to the f_c1 × a data of control Jurkat cells gave the following values for area-specific membrane capacitance and conductance: C_m = 7.1 ± 0.1 mF/m² and G_m = 90 ± 20 S/m², respectively. Using these data, the permittivity and conductivity of the cytosol were derived from the ROT spectra: ε_i = (137 ± 5) · ε₀ and σ_i = 287 ± 10 mS/m, respectively. The electrical properties of Jurkat cells are summarized in Table 3.

Fig. 5.

Analysis of the electric properties of Jurkat (a, b) and HEK (c, d) cells by electrorotation. a, c The ROT spectra of untreated control cells (open symbols) were fitted by the single-shell model (dotted curves). The radius-normalized f_c1 data of control Jurkat and HEK cells measured by the CRF technique and plotted vs. σ_e are shown in b and d, respectively. The lines are calculated by regression of equation 4 to the data points (bn = 320 cells, dn = 180 cells). The fitted C_m and G_m values are summarized in Table 3. The effects of increasing concentration of WO⁻ on the ROT spectra of Jurkat and HEK cells are shown in a and c (filledsymbols), respectively. All spectra were measured at σ_e ≈ 60 mS/m. The solution osmolalities were 100 (a, b) and 300 (c, d) mOsm. f_c1, f_c2 and f_LI in a denote the plasma membrane, cytosolic and mobile charge peaks, respectively. Dashed and solid curves in a and c represent best fits of the mobile charge model (equations 2, 3 and 5) to the ROT spectra of cells treated with WO⁻. The fitted parameters for HEK and Jurkat cells are given in Tables 4 and 5, respectively

Table 3.

Dielectric properties of HEK293 and Jurkat cells measured by electrorotation

Cell line	Treatment	Medium osmolarity (mOsm)	Cm (mF/m2)a	Gm (S/m2)a	σi (mS/m)b	εi/ε0b	Cell number, na (n)b
HEK293	Control	300	8.5 ± 0.3	∼0	533 ± 63	71 ± 9	260 (10)
HEK293	Control	100	7.5 ± 0.3	126 ± 33	175 ± 14	85 ± 15	80 (23)
Jurkat	Control	100	7.1 ± 0.1	90 ± 20	287 ± 10	137 ± 5	316 (21)

^aC_m and G_m were determined by the CRF technique.

^bσ_i and ε_i were calculated from the ROT spectra; ε₀ = 8.85 10^–12 F/m is the absolute permittivity of vacuum

The ROT spectra of control HEK cells in both isotonic (Fig. 5c) and hypotonic media (not shown) were qualitatively similar to those of Jurkat lymphocytes (Fig. 5a). The analysis of the ROT spectra and CRF data (Fig. 5d) of HEK cells in terms of the single-shell model yielded the plasma membrane and cytosol parameters summarized in Table 3. As evident from the table, reduction of osmolality from 300 to 100 mOsm led to a decrease of C_m from 8.5 to 7.5 mF/m², suggesting retraction of microvilli and membrane smoothing in hypotonically swollen cells (Kiesel et al., 2006). Apart from the structural changes in the plasma membrane, reduction of osmolality also resulted in an about threefold decrease of the cytosolic conductivity, σ_i, from 533 to 175 mS/m. This effect can be explained by the dilution of the cytosol due to cell swelling along with the loss of cytosolic ions through swelling-activated channels, as shown recently for Jurkat cells (Kiesel et al., 2006).

Electrorotation of Cells Treated with Lipophilic Anions

We first analyzed the effects of three newly synthesized heterocyclic derivatives of W(CO)₅ (WO⁻¸ WN⁻ and WS⁻) on the ROT spectra of Jurkat and HEK cells. As seen in Figures 5a and 4c, micromolar concentrations of WO⁻ altered drastically the low-frequency antifield part of ROT spectra in both cell types, whereas the shape of the high-frequency cofield peak remained unchanged. In contrast to control lymphocytes exhibiting a single antifield peak (Fig. 5a, open circles), the spectra of cells treated with 20 μm WO⁻ displayed an additional antifield peak at about 32 kHz (Fig. 5a, filled circles). In these spectra, the three peaks centered at the characteristic frequencies f_LI, f_c1 and f_c2 are dominated by the relaxation of the adsorbed lipophilic ions (mobile charges), capacitive membrane charging and polarization of the cytosol, respectively. The magnitude of the mobile charge peak increased with increasing WO⁻ concentration (Fig. 5a, filled squares). WN⁻ affected ROT spectra similarly but to a lesser extent than WO⁻, suggesting lower amounts of mobile charges in the plasma membrane (spectra not shown). Changes in the ROT spectra of HEK cells treated with various WO⁻ concentrations (Fig. 5c, filled symbols) were comparable to the results obtained on Jurkat cells (Fig. 5a).

Despite its similar structure to WO⁻ and WN⁻, compound WS⁻ was found to exert notable toxic effects on both Jurkat and HEK cells. Thus, unlike WO⁻, WN⁻ and WW⁻, which did not cause any damage to cells at concentrations up to 50 μm, the addition of 10–20 μm WS⁻ resulted in progressive granulation of the cytoplasm and cell lysis within a few minutes. For this reason, ROT measurements could be performed only in the presence of 5 μm WS⁻. At this concentration, however, WS⁻ did not affect significantly the ROT spectra of both cell types.

In addition to the heterocyclic derivatives of , we explored the effects of the lipophilic ions WW⁻, DPA⁻ and TPB⁻ as well as of the putative lipophilic anion on the ROT spectra of the two mammalian cell lines. As expected, at concentrations of 5–50 μm WW⁻ and DPA⁻ substantial mobile charges were incorporated into the plasma membrane of lymphocytes readily detectable by ROT (spectra not shown).

The complex ROT spectra of mammalian cells treated with WO⁻, WN⁻, WW⁻ and DPA⁻ could very accurately be approximated by the mobile charge model (see Appendix, equations 2, 3 and 5). For calculation of the least-square fits (solid and dashed curves in Fig. 5a, c), we used the corresponding C_m and G_m values obtained by the CRF technique (Fig. 5b, d). Curve fitting yielded values for ΔC_LI due to the adsorbed lipophilic anions and their translocation rate constants (k_i) across the plasma membrane, as well as the cytosolic permittivity ε_iε₀ and conductivity σ_i. The fitted parameters for the lipophilic anions are summarized in Tables 4 (HEK cells) and 5 (Jurkat cells).

Table 4.

The membrane capacitance increments (ΔC_LI), translocation rate constants (k_i) of mobile charges and cytosolic properties of HEK293 cells (σ_i and ε_i) derived from the ROT spectra in the presence of various concentrations of lipophilic anions

Lipophilic anion	Concentration (μm)	ΔCLI (mF/m2)	ki [1/(s * 103)]	σi (mS/m)	εi/ε0	n
Isotonic mediaa
WO−	5	5.8 ± 0.9	540 ± 59	541 ± 66	112 ± 17	4
WO−	10	8.8 ± 1.0	451 ± 13	839 ± 64	175 ± 28	6
WO−	20	21.1 ± 4.1	290 ± 59	631 ± 56	168 ± 22	16
WO−	50	35.3 ± 4.8	163 ± 22	609 ± 40	180 ± 32	10
WW−	5	48.0 ± 4.4	423 ± 26	733 ± 139	195 ± 27	4
WW−	10	60.7 ± 3.6	241 ± 36	448 ± 45	106 ± 10	10
WW−	20	80.1 ± 9.0	285 ± 51	725 ± 17	222 ± 37	8
WW−	50	69.1 ± 3.5	185 ± 39	528 ± 76	126 ± 15	8
Hypotonic mediaa
WO−	20	33.0 ± 6.0	203 ± 21	470 ± 33	136 ± 24	12
WW−	50	78.0 ± 10.7	268 ± 27	496 ± 63	189 ± 33	10
DPA−	10	24.6 ± 2.5	20.2 ± 2.3	370 ± 30	153 ± 21	9

^aIso- and hypotonic media of osmolalities of 300 and 100 mOsm, respectively, were used

In contrast to the effects of DPA⁻ and W(CO)₅ derivatives, the ROT spectra of both cell types treated with TPB⁻ or (at concentrations up to 100 μm) were similar to the corresponding spectra of control cells, despite the strong adsorption of these anions to cell membranes, as proved by the capacitance recordings on HEK cells (Fig. 3) and oocytes (Fig. 4) using the TEVC technique.

Discussion

Membrane capacitance increments (ΔC_LI) resulting from the relaxation of adsorbed lipophilic anions (mobile charges) can be monitored by both ROT and voltage-clamp techniques. Comparing ΔC_LI measurements in the presence of various concentrations of WW⁻ on HEK cells revealed good agreement between the two methods (Fig. 6a). In the case of WO⁻, however, ΔC_LI and, thus, the amounts of mobile charges determined by voltage-clamp exceeded significantly (by a factor of ∼5–6) the corresponding data obtained by electrorotation (Tables 1 and 4). At least two possible explanations are conceivable for the observed discrepancy between ΔC_LI values. Firstly, the discrepancy can arise from the strong difference in experimental conditions. Whereas patch-clamped cells were exposed to nearly physiological saline solutions, ROT measurements were performed in sugar-substituted media containing only a few μM of electrolyte. Ionic strength can affect the interaction of lipophilic ions with phospholipid membranes via several mechanisms, such as the ionic strength–mediated changes in the surface membrane potential as well as variations in the activity coefficient, solubility and partition behavior of lipophilic ions (Flewelling & Hubbell, 1986). Secondly, given the bell-shaped voltage dependence of ΔC_LI (Fig. 3), a further reason for the low ΔC_LI values detected by ROT may be a depolarization of the cell membrane doped with WO⁻. The strong increase of membrane conductance (G_m) observed in WO⁻-treated HEK cells (Table 1) is consistent with this assumption. As mentioned in the Appendix, the membrane voltage is not controlled during electrorotation measurements. Therefore, the ΔC_LI value derived from electrorotation spectra can be smaller than the peak values () measured by voltage clamp if the membrane potential diverges significantly from the midpoint potential (V_mid).

Fig. 6.

The apparent capacitance increment (ΔC_LI) (a), translocation rate constant (k_i) (b), midpoint potential (V_mid) (c) of the induced capacitance and slope parameter (α) (d) for the lipophilic anion WW⁻ adsorbed to the plasma membrane of HEK cells as functions of WW⁻ concentration in bath medium. The data were obtained by electrorotation (ΔC_LI and k_i, opensymbols) and voltage clamp (ΔC_LI, V_mid and α,(filled symbols). Note that the two independent techniques yielded comparable ΔC_LI values (a)

Judging by the ΔC_LI data, the concentration of mobile charges N_t in the plasma membrane increased with increasing concentration of the lipophilic anions (e.g., data for HEK cells treated with WW⁻ and WO⁻ in Tables 1 and 4). Comparison of the N_t values recorded on patch-clamped HEK cells in the presence of 5 μm of lipophilic anions showed that their lipophilicity decreased in the following order: DPA⁻ > WO⁻ > TPB⁻ >  > WW⁻. Unlike the translocation rate (see below), the lipophilicity apparently does not depend on the molecular structure.

Among the various lipophilic anions tested here, only WS⁻ was found to exert notable toxic effects on the two mammalian cell lines studied. The cytotoxicity can presumably be associated with specific chemical interactions of the S-C-S moieties of benzothiazole (the ligand of WS) with membrane and cytosolic proteins. There is a large body of evidence in the literature for a strong cytotoxicity (including antitumor, antibacterial and fungicide activities) of benzothiazole and related compounds (De Wever et al., 1998; Mukherjee et al., 2005; Singh et al., 2006). Compared to the free benzothiazole, the toxic action of the benzothiazole residue in WS⁻ might be even larger due to the strong membrane adsorption of the lipophilic anion WS⁻.

Voltage Dependence of the Induced Membrane Capacitance

Independent of the cell type and chemical structure of lipophilic anions, qualitatively similar bell-shaped relationships were found between capacitance increment (ΔC_LI) and holding membrane potential (V_H) (Figs. 3 and 4). The ΔC_LI–V_H relations exhibited a peak value () centered at a midpoint potential (V_mid). The magnitude of ΔC_LI declined rapidly from to zero as the holding potential was either increased (V_H > V_mid) or decreased (V_H < V_mid). The bell-shaped ΔC_LI–V_H relation most likely originates from the voltage-dependent distribution of the adsorbed lipophilic anion between the two membrane interfaces. At large negative (hyperpolarized) potentials (V_H < < V_mid), the adsorbed anions are concentrated mainly at the extracellular side of the plasma membrane and vice versa at large positive potentials at the cytosolic side. Under these conditions, no charge displacement across the membrane (and thus no capacitance increment) can occur in response to small-voltage perturbations. By contrast, lipophilic anions distribute equally between the extra- and intracellular membrane sides when the membrane potential is close to V_mid. This distribution pattern enables a voltage-driven charge displacement across the membrane, which in turn gives rise to an apparent increase of membrane capacitance.

In agreement with our data, bell-shaped relationships between membrane capacitance and potential have been reported for cardiac myocytes doped with DPA⁻ (Lu et al., 1995), for outer hair cells (OHCs) treated with TPB⁻ (Wu & Santos-Sacchi, 1998) and other systems (Fernandez et al., 1983). Likewise, the relaxation of gating charges in various channel proteins also gives rise to a bell-shaped dependence of membrane capacitance on membrane voltage, as found in various muscle, excitable and sensory cells (Armstrong & Bezanilla, 1973; Stefani et al., 1994; Navarrete & Santos-Sacchi, 2006; Belyantseva et al., 2000; Frolenkov et al., 2000; Kilic & Lindau, 2001).

In the present study, V_mid was found to depend on the cell type, structure and concentration of lipophilic anions (Tables 1 and 2). Except for the lowest WO⁻ concentration (5 μm), HEK cells exhibited negative V_mid values ranging between ∼−30 and −90 mV (Table 1). In oocyte membrane (Table 2), V_mid values were even more negative (from −60 to −120 mV, except for WS⁻) compared to the corresponding data on HEK cells. In accordance with our results, Lu et al. (1995) and Oberhauser & Fernandez (1995) found for DPA⁻ a V_mid of −60 mV in Xenopus oocytes, which was more negative than in human cardiac and mouse mast cells (V_mid ≈ −10 mV). For comparison, the V_mid values in OHCs treated with various TPB⁻ concentrations varied between −15 and −46 mV (Oberhauser & Fernandez, 1995).

For most lipophilic anions tested here, V_mid shifted to hyperpolarized (i.e., negative) levels in a concentration-dependent manner (Fig. 3). A similar dependence of V_mid on concentration was found in OHCs treated with very low concentrations of TPB⁻ (0.2–1 μm) (Oberhauser & Fernandez, 1995). In the present study, V_mid changed only little (from −59.5 to −61.4 mV) upon increasing the concentration of TPB⁻ from 5 to 50 μm (Table 1).

Negative V_mid values imply that lipophilic anions tend to be excluded from the outer membrane leaflet. The poorer affinity for the outer membrane leaflet seems to be a common feature of lipophilic anions. As pointed out elsewhere (Lu et al., 1995), the exclusion of anionic adsorbates from the outer membrane leaflet may be due to the asymmetric distribution of charged phospholipids between the leaflets, typical for biological membranes (e.g., by glycosylation of extracellular lipids). Interestingly, the asymmetry seemed to be enhanced with increasing concentration of the adsorbed lipophilic ions. This effect was quite strong in the case of WO⁻ and, to a lesser extent, in the other investigated lipophilic ions (see Table 1).

Depth of the Adsorption Plane

The dimensionless slope parameter α, determined by fitting the Boltzmann equation to the bell-shaped ΔC_LI–V_H relations, represents the fraction of the transmembrane potential through which the adsorbed lipophilic anion translocates (Läuger et al., 1981). This parameter can therefore be viewed as a measure of the depth of the adsorption plane of lipophilic anions within the membrane. A value of α close to unity indicates that the adsorbed ions reside in the leaflet of the polar head groups of the lipid molecules, whereas small α values (e.g., ∼0.2) are indicative of the preferential adsorption in the region of hydrocarbon tails (Malkia, Liljeroth & Kontturi, 2003).

At the extracellular concentration of 5 μm, the slope parameter α measured in HEK cells varied only slightly among the tested lipophilic anions. The lowest α of 0.45 was obtained for WO⁻ and the highest, 0.56, was for (Table 1). Upon increasing 10-fold (i.e., to 50 μm) the concentration of large organic anions, including DPA⁻, TFB⁻ and , the strong increase of N_t was also accompanied by a decline of α (e.g., from 0.51 to 0.41 for DPA⁻ and from 0.52 to 0.36 for TPB⁻). This finding can be explained by the assumption that the adsorption plane of large organic anions moved slightly toward the center of the membrane as the concentration of adsorbed anions increases. By contrast, α remained nearly unchanged in the case of WO⁻ (α = 0.40–0.45) but increased significantly from 0.47 to 0.67 in the case of WW⁻. The latter finding suggests that the adsorption depth of WW⁻ decreases as its concentration in the cell membrane increases.

Interestingly, the range of α between 0.4 and 0.7 obtained here for various lipophilic anions adsorbed to the HEK cell membrane agrees well with the values of 0.57, 0.63 and 0.76 reported for DPA⁻ in mouse mast cells, squid axon and guinea pig cardiac myocytes, respectively (Oberhauser & Fernandez, 1995; Lu et al., 1995; Fernandez et al., 1983). Somewhat higher α values of 0.75–0.92 have been obtained for TPB⁻ from voltage-clamp experiments on artificial membranes made from bacterial phospholipids (Andersen & Fuchs, 1975). Charge-pulse experiments on lecithin membranes have also yielded larger α values (0.85–0.99) for both DPA⁻ and TPB⁻ (Benz et al., 1976) than in the present study. Our finding that a range of structurally dissimilar anions exhibited quite similar α values agrees with the observation that both area and depth of the adsorption sites of DPA⁻, TPB⁻ and pentachlorophenolate in phospholipid membrane (evaluated from the adsorption isotherms) are independent of the molecular structure of lipophilic anions (Smejtek & Wang, 1990).

Transmembrane Mobility of Lipophilic Anions

As evident from Tables 4 and 5, the lipophilic anions tested here differed markedly in their translocation rate constants (k_i). In both cell types studied by ROT, the W(CO)₅ derivatives (e.g., WW⁻ and WO⁻) exhibited the highest k_i values, ranging between ∼10⁵ s⁻¹ and 5.4 × 10⁵ s⁻¹. The translocation rate constant of DPA⁻ (∼2 to 3.5 × 10⁴ s⁻¹) was lower by a factor of about three to five than the corresponding data of W(CO)₅ derivatives. The k_i values obtained for WW⁻ and DPA⁻ in HEK and Jurkat cells are in good agreement with the literature. Thus, WW⁻ has been found to translocate across the plasma membrane of mouse myeloma cells with a k_i of 2 to 6 × 10⁵ s⁻¹ (Kürschner et al., 1998). The k_i values of DPA⁻ reported here are also of the same order of magnitude as published in the literature for DPA⁻-doped nerve cells (∼10⁴ s⁻¹) (Benz & Nonner, 1981), for DPA⁻-treated human erythrocytes (∼3 × 10⁴ s⁻¹) (Sukhorukov & Zimmermann, 1996) and for DPA⁻-doped planar lipid bilayer membranes (∼3 × 10⁴ s⁻¹) (Dilger & Benz, 1985).

Table 5.

Membrane capacitance increments (ΔC_LI), translocation rate constants (k_i) of mobile charges and cytosolic properties of Jurkat lymphocytes derived from the ROT spectra in the presence of various concentrations of lipophilic anions under hypotonic conditions

Lipophilic anion	Concentration (μm)	ΔCLI (mF/m2)	ki [1/(s * 103)]	σi (mS/m)	εi/ε0	n
WO−	20	19.6 ± 1.2	178 ± 11	421 ± 15	80 ± 11	13
WO−	50	32.6 ± 4.3	105 ± 5	456 ± 18	109 ± 20	6
WO−	100	25.2 ± 2.1	90 ± 5.2	440 ± 38	76 ± 4	6
WW−	10	9.1 ± 0.7	348 ± 55	468 ± 35	80 ± 11	8
WW−	20	9.3 ± 0.6	391 ± 43	395 ± 30	86 ± 9	9
WN−	20	4.2 ± 0.5	130 ± 28	543 ± 22	94 ± 6	6
WS−	5	∼0	n.d.	338 ± 33	96 ± 11	11
DPA−	5	11.0 ± 0.6	29.9 ± 1.7	341 ± 33	96 ± 18	9
DPA−	10	8.8 ± 0.4	34.5 ± 3.2	386 ± 46	120 ± 10	10

Analysis of the k_i data in Table 4 and Figure 6 also reveals that with increasing aqueous concentration of lipophilic anions an increase of the capacitance increment, ΔC_LI (and thus of the concentration of the adsorbed anions, N_t), was accompanied by a gradual decrease in translocation rate constants, k_i. The nonlinear relationship between k_i and N_t may be caused by the generation of boundary potentials as well as by the onset of the discrete charge effect (Andersen et al., 1978; Wang & Bruner, 1978). The slower translocation can also result from a decrease in the membrane dipole potential due to the screening of its positive end by the adsorbed lipophilic anions, as proposed elsewhere (Clarke & Lüpfert, 1999).

Among other parameters discussed above (i.e., ΔC_m, V_mid and α), the translocation rate constant k_i appears to be the one that responds most sensitively to the molecular structure and particularly to the atomic constitution of the outer molecular shell of lipophilic anions. Thus, various derivatives of tungsten pentacarbonyl W(CO)₅ (containing five to 10 oxygen atoms in the outer shell) were found to exhibit the highest translocation rates, k_i ≈ of 10⁵–10⁶ s⁻¹, reported so far (Tables 4 and 5) (Kürschner et al., 1998). Furthermore, DPA⁻ (although structurally very different from W[CO]₅ derivatives) also contains a large number of oxygen atoms in the outer molecular shell and is capable of translocating rather fast (with k_i of some 10⁴ s⁻¹) across both cellular and artificial lipid membranes (Sukhorukov & Zimmermann, 1996; Benz & Nonner, 1981).

As already mentioned, the ROT technique is only useful for the detection of relatively fast mobile charges (with k_i > ∼10³ s⁻¹), giving rise to a membrane dispersion in the kilohertz to megahertz frequency range. The finding that the large organic anions TPB⁻ and induced a strong increase of membrane capacitance detectable by voltage clamp (Tables 1 and 2) but not by electrorotation suggests that these anions (both lacking oxygen atoms) translocate across cell membranes much slower than DPA⁻ and W(CO)₅ derivatives. In fact, the translocation rate constant of TPB⁻ (k_i = 1.3–9 s⁻¹) in artificial lipid membranes is up to two orders of magnitude lower than that of DPA⁻ (k_i = 33–987 s⁻¹) (Benz et al., 1976). Based on the literature and the data of Tables 4 and 5, the transmembrane mobility of lipophilic anions tested in the present study can be arranged in the following descending order: WW⁻ > WO⁻ ≈ WN⁻ > DPA⁻ > > (TPB⁻, ).

The above considerations lead to the conclusion that the presence of oxygen atoms in the outer molecular shell is an important factor for the fast translocation ability of lipophilic anions. The reason for the fast transmembrane movement of W(CO)₅ derivatives and DPA⁻ can be attributed to greater negative charge delocalization in these molecules (due to the strong electronegativity of oxygen), which in turn can result in a weaker electrostatic interaction of these anions with the surrounding membrane molecules.

Concluding Remarks

In the present study several new lipophilic anions have been characterized by analyzing their adsorption and transport properties in cell membranes by means of the electrorotation and patch-clamp techniques. Restricted to the kilohertz to megahertz frequency range, the ROT technique was capable of detecting only lipophilic anions with relatively high translocation rates, such as DPA⁻ and most anionic derivatives of W(CO)₅ studied here and previously (Kürschner et al., 1998; Sukhorukov et al., 2001a). Although not resolved in ROT spectra, slower mobile charges, such as those introduced by TPB⁻ and , could be readily detected by means of capacitance recording in patch-clamped cells. Besides this, patch-clamp measurements of the voltage-dependent membrane capacitance yielded information about the preferential location of the adsorbed lipophilic anions within the membrane as well as about their asymmetric distribution between the inner and outer membrane leaflets. Taken together, the two independent approaches complemented each other, thus providing deeper insight into the mechanisms of interaction of lipophilic ions with cell membranes.

Appendix

Effect of Lipophilic Ions on Membrane Capacitance

Lipophilic ions have been postulated to move across a lipid bilayer membrane in three steps (Ketterer et al., 1971): (1) adsorption from the aqueous phase to the lipid–water interface, (2) translocation over the central barrier in the middle of the membrane and (3) desorption into the aqueous phase. The theory of lipophilic ion transport across lipid bilayers and biological membranes is also given in detail elsewhere (Benz & Conti, 1981; Fernandez et al., 1983).

In response to a change in membrane potential, the adsorbed lipophilic ions generate capacitive (gating) currents as they move between the two membrane boundaries. The analysis given by Fernandez et al. (1983) leads to the following expression for the apparent capacitance increment (ΔC_LI) as a function of the holding membrane potential (V_H) in the presence of a monovalent lipophilic ion:

1

where N_t (mol/m²) is the surface density of the adsorbed lipophilic ions. The slope parameter α represents the fraction of the membrane field through which the lipophilic ions translocate (Läuger et al., 1981). The constants F, R and T have their usual meanings. Equation 1 describes a bell-shaped voltage dependence of ΔC_LI with a peak value = αN_tF²/(4RT) centered at a midpoint voltage (V_mid). This equation represents the first derivative of the Boltzmann function, 1/{1 + exp[−αF(V_H – V_mid)/RT]}, for the voltage-dependent distribution of the adsorbed lipophilic ions between the two membrane interfaces (Benz & Nonner, 1981). To derive the parameters N_t, α and V_mid for the various lipophilic anions studied here, equation 1 was fitted to the experimental ΔC_LI data measured at various holding potentials (V_H) in HEK cells and Xenopus oocytes by the patch-clamp and TEVC techniques, respectively.

Electrorotation of Control Cells: The Single-Shell Model

The ROT spectrum, i.e., the frequency dependence of the rotation speed Ω, is fully determined by the imaginary part of the complex cell polarizability, χ^* (Arnold & Zimmermann, 1988; Jones, 1995; Zimmermann & Neil, 1996; Fuhr & Kuzmin, 1986):

2

where E is the rotating field strength and ε_e and η are medium permittivity and viscosity, respectively. Given that the cell radius a is much larger than the membrane thickness, a simplified expression for the polarizability (χ^*) of a spherical single-shelled cell can be derived (Sukhorukov et al., 2001a):

3

where the complex permittivity is defined as ε^* = ε − jσ/ω, with ε and σ for the real permittivity (F/m) and conductivity (S/m) of the medium (subscript “e”) or the cytosol (subscript “i”), with the complex number j = (−1)^1/2 and the radian field frequency ω = 2πf. For control cells, the complex area-specific membrane capacitance is given by , where C_m (F/m²) and G_m (S/m²) are the membrane capacitance and conductance per unit area, respectively. In the single-shell model, both C_m and G_m are assumed to be independent of field frequency.

For very low-conductivity solutions (σ_e << σ_i), the single-shell model also predicts the linear dependence of the characteristic frequency of the fastest antifield rotation (f_c1) on the external conductivity (σ_e) (Arnold & Zimmermann, 1988):

4

The mean plasma membrane parameters C_m and G_m of control cells (i.e., not treated with lipophilic anions) were extracted from studying the variation of the radius-normalized peak frequency (f_c1) with the external conductivity (at σ_e < ∼7 mS/m) by means of the CRF technique (see “Materials and Methods”). To extract the dielectric properties of the cytosol (σ_i and ε_i), the ROT spectra of control cells were fitted by the single-shell model (equations 2 and 3). For fitting ROT spectra, the value sf = ε_eE²/η (see equation 2) served as a scaling factor, which accounts for the local field strength and frictional force experienced by individual cells. Computations were performed with the Mathematica software, Wolfram Research, Champaign, USA.

Electrorotation of Cells Treated with Lipophilic Anions: The Mobile Charge Model

The analyses of Ketterer et al. (1971) and Fernandez et al. (1983) also predict a frequency-dependent capacitance of cell membranes doped with lipophilic ions. In previous studies (Sukhorukov et al., 2001a; Sukhorukov & Zimmermann, 1996), we modified the single-shell dielectric model (equations 2 and 3) in order to account for the single Debye dispersion arising from the relaxation of adsorbed lipophilic ions (mobile charges). In the mobile charge model the expression for the complex membrane capacitance is given by

5

where ΔC_LI is the zero-frequency capacitance increment and τ_LI is the time constant of the membrane dispersion due to the transmembrane movement of the adsorbed lipophilic ions. The time constant τ_LI is related to the translocation rate k_i of the adsorbed ions across the membrane as k_i = (2τ_LI)⁻¹ (Ketterer et al., 1971; Pickar & Brown, 1983). Equation 5 implies that at low field frequencies (i.e., ω = 2πf < < 1/τ_LI) the effective membrane capacitance is given by the sum of the geometric capacitance (C_m) and the capacitance increment due to the relaxation of adsorbed lipophilic ions (ΔC_LI). By contrast, at high field frequencies (ω > > 1/τ_mc) the effective membrane capacitance decreases to its geometric value. The membrane dispersion moves toward higher frequencies with increasing k_i.

In order to extract the values for ΔC_LI and k_i, the ROT spectra of cells treated with various concentrations of lipophilic anions were fitted by the mobile charge model (combination of equations 2, 3 and 5). It should be noted that the actual membrane voltage is unknown under electrorotation conditions. Therefore the ΔC_LI value derived from electrorotation spectra can be smaller than the peak capacitance increment,  = αN_tF²/(4RT) (see above equation 1), if the membrane potential diverges significantly from V_mid. In this case electrorotation can underestimate the total amount of the adsorbed lipophilic anions.