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Departments of
1 Ophthalmology
2 Physiology, Asahikawa Medical College, Asahikawa 078-8510, Hokkaido, Japan
| Abstract |
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(Received 1 April 2004;
accepted after revision 15 July 2004;
first published online 22 July 2004)
Corresponding author A. Takai: Department of Physiology, Asahikawa Medical College, Asahikawa 078-8510, Hokkaido, Japan. Email: takai{at}asahikawa-med.ac.jp
| Introduction |
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However, our knowledge about the channels in the ciliary muscle is still very limited. For example, no experimental evidence has hitherto been available to determine whether muscarinic stimulation activates a single species of NSCC or more than one type of NSCC. Although the polarity reversal at a potential near 0 mV is indicative of a low ion selectivity, quantitative comparison of the relative permeabilities of the channels to cations has not been performed. Also, very little is known about the functional roles for the channels. Even if the opening of the channels causes a depolarization of the muscle cell membrane, it has been shown that depolarization by itself cannot initiate or maintain the contraction of the ciliary muscle (Suzuki, 1983).
In the present experiments, as a continuation of our previous study on the bovine ciliary muscle, we have further examined the properties of the currents evoked by superfusion of CCh under whole-cell voltage clamp. Since transient receptor potential (TRP) channel homologues are now considered as possible molecular candidates for receptor-operated NSCCs (see Clapham et al. 2001; Minke & Cook, 2002; Inoue et al. 2003), we have also examined the existence of their mRNAs in the ciliary muscle by RT-PCR. By analysing the noise of the currents evoked by CCh we have obtained results that indicate that, in most ciliary muscle cells, muscarinic stimulation activates two types of NSCC (NSCCL and NSCCS) with widely different single-channel conductances (35 pS and 100 fS). These channels differ from each other with regard to the activation kinetics as well as in the relative permeabilities to alkali and alkaline earth metal ions, and are likely to be linked to muscarinic receptors by different signalling pathways. We also show that several substances that inhibit the CCh-evoked NSCC currents also inhibit the tonic component of the contraction of ciliary muscle bundles induced by CCh without strongly affecting the initial phasic component. NSCCL and/or NSCCS, either of which admits Ca2+, may act as a pathway for Ca2+ entry required for sustained contraction of the ciliary smooth muscle. In the RT-PCR experiments we have detected at least four types (TRPC1, TRPC3, TRPC4 and TRPC6) of TRP mRNA in the bovine ciliary muscle.
| Methods |
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The normal physiological saline solution (PSS) used was of the following composition (mM): NaCl, 127; KCl, 5.9; CaCl2, 2.4; MgCl2, 1.2; glucose, 11.8; Hepes, 10. The pH was adjusted to 7.4 (at 30°C) by titration with NaOH. In the cation substitution experiments, NaCl, KCl, CaCl2 and MgCl2 in PSS were totally replaced with an isosmotic concentration of an alkaline metal salt (LiCl, NaCl or CsCl; 138 mM) or an alkaline earth metal salt (MgCl2, CaCl2, SrCl2 or BaCl2; 92 mM). High K+ (100 mM) PSS was prepared by replacing NaCl with equimolar KCl.
Unless otherwise mentioned, pipettes for whole-cell clamp experiments were filled with a solution containing (mM): NaCl, 5; caesium aspartate, 100; MgCl2 5; ATP (disodium salt), 5; Hepes, 20; 1,2-bis (2-aminophenoxy)ethane-N,N,N',N'-tetraacetic acid (BAPTA), 5; and GTP, 0.18. The pH was adjusted to 7.0 with NaOH. The free Ca2+ concentration was adjusted by changing the Ca/BAPTA ratio. The apparent dissociation constant of BAPTA for Ca2+ was assumed to be 0.35 µM (Takai et al. 1997). Pipettes used for on-cell patch clamp experiments were filled with normal PSS.
Carbamylcholine chloride (carbachol; CCh), atropine sulphate, GTP, guanosine 5'-O-(3-thiotriphosphate) (GTP
S), pertussis toxin and cholera toxin were purchased from Sigma Chemical Co. (St Louis, MO, USA). BAPTA was obtained from Dojindo Laboratories (Tabaru, Kumamoto, Japan). Iberiotoxin (synthetic) was a product of Peptide Institute, Co. (Osaka, Japan). All other chemicals used were of analytical grade.
Experiments were carried out at 30°C, unless otherwise mentioned.
Preparation of ciliary muscle cells
Bovine eyes were enucleated soon after the animals were killed in a local slaughterhouse and transported to our laboratory in ice-cooled PSS. The eyes were incised circumferentially about 5 mm posterior to the limbus, and after the vitreous humour and lens were removed, the ciliary muscle was carefully dissected out from the scleral spur. Single muscle cells were obtained by the method previously described (Takai et al. 1997). Briefly, the excised muscle was equilibrated in nominally Ca2+-free PSS containing 100 mM K+ at 35°C for 30 min and transferred to a solution of the same composition supplemented with 0.4% (w/v) collagenase (Wako Junyaku Co.) and 0.02% (w/v) papain (Sigma). After incubation for 2025 min, the cell suspension was filtered with a fine nylon mesh. The dispersed cells were collected by centrifuging at 200 g for 2 min and then resuspended in nominally Ca2+-free, high K+ (100 mM) PSS.
Electrical recordings
An Axopatch 200B amplifier (Axon Instruments, Foster City, CA, USA) was used for voltage clamp experiments. The borosilicate glass pipettes used had a resistance of 13.5 ± 0.3 M
(n= 49) when filled with the pipette solution for whole-cell voltage clamp. For command pulse generation and digital data acquisition we used a Digidata 1200B interface controlled by the pCLAMP software (version 9; Axon Instruments) running on a Windows-based computer. Relatively short sections of data were recorded on a magnetoptic disk after on-line digitization. Long sections of data were recorded on a video cassette using an RP-880 PCM converting system (NF Electronic Instruments, Tokyo, Japan). Mathematical processing and analysis of data were carried out using the ClampFit software (version 9; Axon Instruments, Foster City, CA, USA) and the Origin software (version 7.5; OriginLab, Northampton, MA, USA).
Noise analyses
Non-stationary variance analysis.
The current signal was filtered by an analog 4-pole Bessel filter at 1 kHz (3 dB) and digitized at 2 kHz, before the mean µ and the variance
2 around the mean were calculated for every 500 sample points.
The unitary current amplitudes were estimated from the slopes of the best-fit lines obtained by linear regression of (µ,
2) data, assuming the following relationship (see, e.g. Sigworth, 1980)
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| (1) |
denotes the unitary current amplitude and
02 represents the contributions from undesired fluctuations such as thermal noise in the voltage clamp. For this purpose we selected CCh-evoked responses such that their µ
2 relationships could be fitted by single straight lines (see Fig. 2). The unitary chord conductances were then calculated, using the value of
estimated as the slope of the regression line, as
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| (2) |
is the unitary conductance, Eh is the holding potential and Er is the zero-current potential (i.e. the potential of polarity reversal).
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2 is more generally written
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0. Spectral analysis. The signals from the cassette tape were digitized at 5 kHz and digitally high-pass filtered at 0.2 Hz and low-pass filtered at 2 kHz (3 dB, 8-pole Butterworth). These band-passed noise data were divided into segments each containing 4096 or 8192 data points, for which two-sided power spectral densities were calculated by fast Fourier transform and then averaged to obtain a mean noise power spectrum. The net two-sided spectral density for agonist-induced currents was obtained by subtracting the mean spectrum of noise in the absence of agonist from that in its presence.
The positive-frequency halves of the symmetrical two-sided net spectra were fitted by non-linear least-squares method (Levenberg-Marquardt algorithm) with the model function defined as the sum of two Lorentzian components:
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0) are the zero-frequency asymptotes, and f1 and f2 (0 < f1 < f2) are the corner frequencies. If all noise components of an agonist-induced current are detected in the frequency domain as the sum of two Lorentzians, then we will have
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c2 denotes the variance of the agonist-induced current in the time domain (Cull-Candy et al. 1988; Howe et al. 1988).
Some (but not all) power spectra with two Lorentzian components can be simulated using a simple three-state reaction model (Colquhoun & Hawkes, 1977):
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and ß, as follows (see Colquhoun & Hawkes, 1977):
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| (8) |
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| (9) |
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| (10) |
The doseactivation relationship for the agonist is related to pAR* (=pAR*(c)) by
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(c) is the fractional intensity of the response at c, and K is the apparent dissociation constant defined by
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Obviously, the use of the reaction model (Scheme 1) is justified only when there exists a set of physico-chemically realistic values of k1, k2,
and ß which gives a reasonable fit of the spectral function to data. In the present experiments we tried to estimate such values by numerically solving the eqns (6)(9) simultaneously in terms of k1, k2,
and ß with the use of the values of f1, f2, S1(0) and S2(0) determined by directly fitting the model function eqn (4) to the spectral data. For this purpose, we used the Mathematica software (version 5.0; Wolfram Research, Champaign, IL, USA). We also tried to fit the spectral data by the non-linear least-squares method with the model function eqn (4) after making the substitutions defined by eqns (6)(9), and thereby estimate the values of k1, k2,
and ß.
Permeability ratios
The ratio of the permeability of a monovalent or bivalent cation to that of Na+ was estimated from the shift of reversal potential caused by total substitution of Na+, K+, Ca2+ and Mg2+ in the bath solution with the cation, using the following equation (Lewis, 1979):
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Mechanical recordings
The methods of tension recording and of superfusion were essentially the same as previously described (Ashoori et al. 1985). Briefly, a small piece (about 1 mm wide and 5 mm long) of smooth muscle was carefully dissected from an excised ciliary muscle bundle. The preparation was vertically mounted in a small organ bath (0.5 ml in volume) through which solution flowed at a constant rate of 2 ml ml1. The tension was isometrically recorded using a U-gauge transducer (type UL-2GR; Minebea Co., Tokyo, Japan) and a potentiometric pen-recorder.
RT-PCR experiments
A QuickPrep mRNA purification kit (Amersham Biosciences, Little Chalfont, UK) was used to isolate polyadenylated mRNA from the bovine ciliary muscle (whole tissue; 1050 mg). The polyadenylated mRNA obtained was transcribed to first-strand cDNA using a PowerScript reverse transcriptase (BD Biosciences, San Jose, CA, USA) and a 5'-d(T)25N1N-3' primer (where N = A, C, G or T; and N1= A, G or C). GeneAmp PCR System 9700 thermal cyclers (Applied Biosystems, Foster City, CA, USA) were used to amplify transient receptor potential cannonical (TRPC) sequences with Advantage 2 polymerase (BD Biosciences) and the gene-specific primer pairs (see Table 2) which were designed, based on the reference sequences (see Table 2) obtained from the GenBank database. Either a two-step or a three-step PCR protocol (with 3045 thermal cycles) was chosen, depending on the theoretical melting temperature for each primer pair. The products of the PCR reactions were immediately subjected to electrophoresis in agarose gel (0.91.2%). The gels were stained with SYBR Gold fluorescent dye (Molecular Probes, Eugene, OR, USA) after electrophoresis and visualized with a DarkReader visible light transilluminator (Clare Chemical Research, Dolores, CO, USA). Amplified DNA fragments of expected sizes were routinely extracted from the gel and subcloned into a pCR4-TOPO sequencing vector (Invitrogen). The vector was transformed into chemically competent DH5
E. coli cells which were then cultured after colony selection using ampicillin as the marker. The nucleotide sequence of the insert in the plasmid isolated from the culture was analysed by a Long-Read Tower sequencer (Amersham Biosciences) after thermal cycling reaction with ThermoSequenase DNA polymerase and CyDye terminators (Amersham Biosciences). For primer pairs which gave no clear specific amplification in initial trials, we examined the effects of changing the annealing temperature in a ± 5°C range around the value suggested by the Oligo software (Molecular Biology Insights, Cascade, CO, USA) using a gradient thermal cycler (MasterCycler Gradient, Eppendorf, Hannover, Germany), and thereby tried to find appropriate amplification conditions.
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To describe doseresponse relationships, we generally used the Hill function
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(x) is the intensity of the response in the presence of an activator or inhibitor whose concentration is x,
max is the maximal or control response, K denotes the apparent dissociation constant and h stands for the Hill coefficient (h > 0 for doseactivation relationships and h < 0 for doseinhibition relationships). Note that eqn (11) is a special form of eqn (14). The values of K and h were estimated with standard errors by fitting this model function to the data by non-linear least squares regression, using as weight the reciprocal of the square of the standard error at each value of x. Statistics
Significance tests for inference about the slope and the intercept of linear regression lines were carried out using the standard method of analysis of variance (Snedecor & Cochran, 1980). Comparison of two experimentally obtained values was made by a modified Student's t test (Snedecor & Cochran, 1980). Differences were taken as statistically significant when two-tailed probabilities less than 0.05 were obtained.
| Results |
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Figure 1 shows typical responses to superfusion of 2 µM CCh recorded in bovine ciliary myocytes by whole-cell voltage clamp at 30°C and at holding potentials (Eh) from 50 to +40 mV. CCh evoked a clear inward current at Eh=50 mV. The polarity of the current was inverted at voltages higher than 0 mV (Fig. 1A). This response to CCh was completely abolished by 0.1 µM atropine, whereas it was not affected by verapamil or by tetrodotoxin, confirming our previous observations (Takai et al. 1997). In 91% of the 2678 cells examined using pipettes filled with a solution containing 180 µM GTP, the response to CCh was accompanied by a marked increase in noise (see also Fig. 2Aac). In most of these cells, discrete current steps of a constant amplitude could be readily distinguished at the onset of CCh application or during its removal, where the number of channels being activated was small (Fig. 1B). The plot of the step size against Eh crossed the abscissa at a potential close to 0 mV (Fig. 1C), indicating that the current steps were produced by openings of a non-selective cation channel (NSCC). From the slope of the EhI relationship (Fig. 1C), the unitary conductance of the channel was estimated at 36.0 ± 0.3 pS (n= 58 cells). We refer to this type of NSCC with a relatively large unitary conductance as NSCCL.
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In certain cell types it has been reported that chloride channels are activated by agonists of muscarinic cholinoceptors (Dickinson et al. 1992) or adrenoceptors (Amédée et al. 1990; Wang & Large, 1991). However, in our experiments, the contribution of chloride ions to the inward currents should be little, if any, because the inward current was clearly observed at membrane potentials around 50 mV, which is close to the equilibrium potential of chloride.
Figure 2 shows four typical patterns of the currents evoked by superfusion of 2 µM CCh under whole-cell voltage clamp at 50 mV. As noted above, the majority of the cells gave responses accompanied by a clear increase in noise (Fig. 2Aac). In these, the noise often started to appear before the change of mean current level became apparent (Fig. 2Ac; arrow). The intensity of noise, however, differed largely among the cells, and in many cells it did not appear to be directly correlated with the mean amplitude of the response. In the 241 other cells, CCh produced a relatively large inward current with no apparent increase in noise (Fig. 2Ad). In such cells, the current also changed polarity at a potential near 0 mV (see Fig. 7B). These observations strongly suggest that in most ciliary muscle cells CCh also opened a distinct species of NSCC with a unitary conductance much smaller than that of NSCCL, which we call NSCCS.
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2 against the mean current µ for the four typical responses shown in Fig. 2A. In some of the cells (see Fig. 2Ba for example) where discrete single-channel currents attributable to openings of NSCCL were directly resolved (see Fig. 1B), the µ
2 relationships could be well fitted with single straight lines with the slope of 1.73 ± 0.05 pA (n= 187 cells), from which a
value of 34.6 pS is obtained, assuming that Er= 0 mV (see eqn (2)). Since this closely agreed with the value estimated for NSCCL directly from the size of the current steps (see above), we judged that the currents of this type were almost purely produced by openings of NSCCL alone. The linearity of the µ
2 relationship is indicative of a small open-state probability (see eqn (3)). In these cells the steady-state level of the whole-cell NSCCL currents at the holding potential of 50 mV was 8.6 ± 0.4 pA (n= 237 responses). Since the amplitude of the single-channel current has been estimated at 1.7 pA (see above), we calculate that only five channels were open on average at any one instant during the whole-cell responses. From the whole-cell capacitance (15.7 ± 0.3 pF; n= 187 cells), the mean surface area of the cells was estimated at 1.6 x 103µm2, assuming the specific membrane capacitance of 1.0 µF cm2. The density of NSCCL open during the response to CCh is therefore calculated to be as small as 0.003 µm2. This means that approximately one NSCCL is open per 300 µm2 of surface membrane.
Figure 2Bd shows another example of a µ
2 relationship obtained from a cell in which CCh produced an inward current with no clear increase in noise (see Fig. 2Ad). Linear least-squares regression fitted the data to a straight line having a slope of 4.8 ± 0.9 fA, which is very small in magnitude compared with the values obtained for the NSCCL currents (see above) but significantly different from zero (P < 0.001). This indicates that the CCh-evoked response attributable to the activation of NSCCS alone was accompanied by a slight but significant increase in whole-cell current fluctuations. Similar responses to CCh with smooth appearance were observed in 241 cells, and the µ
2 relationships for these responses were fitted by single straight lines of the mean slope of 4.92 ± 0.04 fA (n= 331 responses), from which we estimated the
value for NSCCS at 98 fS, assuming that Er= 0 mV. At the holding potential of 50 mV, the mean whole-cell currents in these cells was 25 ± 4 pA (n= 331 responses), which was considerably larger in absolute value than the currents produced by NSCCL alone (see above). From these results the density of NSCCS open in the ciliary myocyte membrane during a response to CCh of smooth appearance is estimated at 3 µm2. This value is 1000 times the estimate given above for the density of NSCCL channels open during a response to the same concentration of CCh.
In more than 80% of the cells examined, the µ
2 relationships of the CCh-evoked whole-cell currents could not be fitted with a single straight line. In most of these responses, however, discrete single-channel currents attributable to openings of NSCCL were clearly distinguished (see Fig. 1B), and the µ
2 relationship could be fitted with a pair of straight lines having slopes of 1.7 pA and 4.9 fA (see Fig. 2Bb and c), which probably correspond to the contributions from NSCCL and NSCCS, respectively. Generally, if an agonist simultaneously activates two types of ion channel in a cell, the µ
2 plot for the whole-cell current does not necessarily resolve into two components. But if NSCCL and NSCCS are coactivated by CCh, there are several factors that combine to make the contribution from each appear as separate components in the µ
2 plane. (a) The time required for the response to stimulation by 2 µM CCh to reach a steady level was 510 s for NSCCS currents, whereas it was 1020 s for NSCCL currents (compare the tµ plots of Fig. 2Ba and d); thus, NSCCS currents tended to reach a steady level (let it be µs) faster than NSCCL currents. This would result in a predominant appearance of the NSCCS component in the µ range between 0 and µs in the µ
2 plane. (b) NSCCS currents showed a steady level with very small fluctuations which lasted for 1520 s during the stimulation by CCh for 30 s (see Fig. 2Bd). Openings of NSCCL during this steady period would give a clearly distinguishable component in the region where µ
µs(< 0). (c) The
value of NSCCL (3536 pS) was 360380 times larger than that of NSCCS (96 fS) (see above). Reflecting this large difference in the unitary conductance levels, the contributions from NSCCL and NSCCS would appear in the µ
2 plane as two linear components with largely different slopes. Thus it seems reasonable to interpret the two-component nature of the µ
2 plots as a sign of the coexistence of NSCCL and NSCCS in most bovine ciliary myocytes. The absolute value of µs, which can be estimated from the abscissa of the intersecting point of the two linear components, was typically 6080% of the maximal value of |µ| (|µ|max; see Fig. 2Bb and c). From this percentage and the conductance ratio (360380), the ratio of the numbers of NSCCS and NSCCL open during a typical response of the ciliary myocyte to CCh is roughly estimated at 5002000.
Figure 3 shows the µ
2 plot for a response evoked by 100 µM CCh in one of the relatively rare cells that gave a response, purely attributable to NSCCL openings alone, to a prior application of 2 µM CCh (see Fig. 2Aa and Ba). The large fluctuation of whole-cell currents due to the opening of NSCCL was also clearly observed at this agonist concentration which approaches the level required to produce the maximal response. Although the relationship between µ and
2 now considerably deviated from linearity (Fig. 3), it could be fitted with eqn (3) under a constraint,
= 1.75 pA, supporting the idea that
was not largely changed from 35 pS by the elevation of the agonist concentration. From essentially similar fits of the curved µ
2 relationships for the NSCCL currents evoked by 100 µM CCh in a total of six cells, a mean total channel number N of 83 ± 8 was obtained. Significant deviation from linearity was not detected for the µ
2 plots of whole-cell NSCCS currents evoked by 100 µM CCh within the limits of the resolution of the present experiments (examined in 7 cells).
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NSCCL. Figure 4A shows examples of the noise spectra of the whole-cell currents purely attributable to NSCCL openings evoked in the same cell under voltage clamp at 50 mV in normal PSS by different concentrations of CCh (2, 0.5 and 100 µM; applied in this order at 5 min intervals).
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f1S1(0) +
f2S2(0) = 16.6 pA2. Since this closely agrees with the value calculated in the time domain (
c2= 16.8 pA2), it is reasonable to assume that all noise components contained in the recorded current data were represented by the two Lorentzians (see eqn (5)). Two Lorentzians were required to fit the whole-cell current noise spectra of whole-cell NSCCL currents evoked in 63 cells by 2 µM CCh, and the mean values of the corner frequencies were f1= 15.3 ± 2.3 and f2= 82.3 ± 6.8 (n= 87 spectra). The spectral function for the three-state model (Scheme 1) gave identical fits to these two-Lorentzian spectra if the following values were assigned to the rate constants: k1= (1.1 ± 0.2) x 107 s1M1, k2= 109 ± 9 s1,
= 330 ± 23 s1 and ß= 163 ± 13 s1 (n= 87 spectra). These are acceptable as the rate constants for reactions involving macro-moleculeligand interactions (see, e.g. pp. 272277 of Mahler & Cordes, 1969). In the noise spectra of the NSCCL currents evoked by 2 µM CCh in another 57 cells, only one Lorentzian with a mean corner frequency, f1= 40.1 ± 8.3 (n= 67 spectra), was resolved. However, in most of these spectra the fact that two components were not detected appeared to be due to insufficient resolution at frequencies above 100 Hz. Figure 4Ba summarizes the results of our experiments in which we examined the effects of changing the agonist concentration, c, on the noise spectra of the CCh-evoked NSCCL currents. As can be seen, the values of f1, f2 and S1(0)/S2(0) did not change dramatically in the range 0.5 µM < c < 10 µM. Consequently, the spectrum of NSCCL currents tended to be shifted upward without largely changing its shape with increasing agonist concentration in this range (compare the spectra at 0.5 and 2 µM CCh in Fig. 4A). Although two Lorentzians were still required to fit the five spectra for the NSCCL current evoked by 20 µM CCh, the two-component nature was obscured at this agonist concentration where the difference between f1 (50 ± 12 Hz) and f2 (98 ± 13 Hz) became narrower and S1(0)/S2(0) reduced to 2.5 (spectra not shown). In the range 50 µM < c < 200 µM, the spectra were well fitted with the single Lorentzian function with corner frequencies of 7585 Hz, and no second Lorentzian component was clearly resolved in any of the 15 spectra for the NSCCL currents evoked by CCh in this concentration range (see Fig. 4A and 100 µM CCh). Figure 4Ba includes the graphs of f1, f2 (continuous lines) and S1(0)/S2(0) (dashed line) calculated based on the three-state model (Scheme 1) using the rate constants given above. These graphs appear to describe fairly well the observed changes of the spectral parameters caused by changing the agonist concentration (Fig. 4Ba). Based on the three-state model, the disappearance of the second Lorentzian component in the range c > 50 µM can mainly be attributed to the steep increase of S1(0)/S2(0) in this range (Fig. 4Ba, dashed line), which corresponds to the reduction or vanishing of the A + R state caused by high concentrations of the agonist occupying R.
Figure 4Bb shows the doseactivation relationship for the CCh-evoked NSCCL currents which were used for the spectral analysis described above. The data were fitted with the Hill function with K= 8.4 ± 0.5 µM and h= 1.04 ± 0.06 (total number of measurements, n= 58). It is worth noting that the K value is close to the value (6.6 µM) calculated by eqn (12) using the rate constants obtained from the spectra at 2 µM (see above).
Unlike the NSCCL currents, pure NSCCS currents or the NSCCS component of CCh-evoked currents tended to become smaller when stimulation by CCh was repeated. This tendency was especially marked if the agonist concentration exceeded 10 µM. However, an essentially similar doseactivation relationship (K= 9.3 ± 0.7 and h= 1.07 ± 0.08; n= 128) was obtained in the range 0.0410 µM CCh if responses containing a NSCCS component in various ratios (0 < |µs|/|µ|max < 0.8 at 2 µM CCh) were included. This is consistent with the idea that CCh activates NSCCL and NSCCS through the same type of muscarinic receptor.
Using the values of the rate constants, the equilibrium probabilities of the open state of NSCCL (Scheme 1) at a given agonist concentration can also be estimated using the set of equations labelled eqn (10). At 2 µM CCh, for example, we have pAR*= 0.08, pAR= 0.16 and pA+R= 0.76. The smallness of the value of pAR* is consistent with the fact that the µ
2 relationships for the NSCCL currents gave a linear appearance at this agonist concentration (Fig. 2Ba; see also eqn (3)).
Spectra with two Lorentzian components very similar to those obtained for the responses purely attributable to the opening of NSCCL alone were also obtained from many responses which gave µ
2 plots with two components. This was not unexpected because even relatively small NSCCL currents gave spectral densities of at least an order of magnitude larger than the largest NSCCS currents over the entire frequency range where comparison could be made.
NSCCS. Spectral analysis did not resolve any clearly defined Lorentzian components in many of the cells which gave pure NSCCS currents in response to CCh (2 µM) in normal PSS at the holding potential of 50 mV. This was probably due to the limited frequency resolution as a result of the very low amplitude of the noise. Increases in noise were more clearly observed when Ba2+ was used as the charge carrier for NSCCS (see Fig. 7A). Figure 5 shows the spectrum of a NSCCS current evoked by 2 µM CCh during superfusion with a solution containing Ba2+ (92 mM) as the only significant cation producing an inwardly directed electrochemical gradient. It appeared evident that the spectrum had more than one Lorentzian component, even though the resolution at frequencies above 100 Hz was still limited (Fig. 5). By fitting the spectral data with the sum of two Lorentzians, we obtained the following estimates: f1= 3.1 Hz, S1(0) = 0.063 pA2 s, f2= 152 Hz and S2(0) = 0.00071 pA2 s.
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and ß using the experimentally estimated values of µ,
, f1, S1(0), f2 and S2(0), we obtained, for the spectrum shown in Fig. 4A, a unique set of roots: k1=5.6 x 106 s1M1, k2= 64 s1,
= 440 s1 and ß= 465 s1. The large negative value of k1 is of course physico-chemically impossible. Non-linear least-squares regression gave no satisfactory fit if a constraint, k1 > 0, was imposed. For the CCh-evoked NSCCS currents recorded in the other 21 cells using Ba2+ as the charge carrier, we obtained similar spectra apparently having more than one Lorentzian component with mean f1 and f2 values of 4.3 ± 1.2 and 159 ± 13 Hz (n= 36 spectra). None of these spectra could be satisfactorily simulated by the three-state model. Relative cation selectivity of NSCCL and NSCCS
Figure 6 shows typical results of the cation-substitution experiments that we carried out in order to examine the relative cation selectivity of NSCCL. For this purpose, we chose relatively rare cells that gave a current purely attributable to NSCCL openings in response to an initial trial application of CCh (2 µM) in PSS at a holding potential of 50 mV (Fig. 6A, top; see also Fig. 2Aa and Ba). CCh (2 µM) was then applied to the cells at various holding potentials during superfusion with a solution containing an alkaline metal ion (Li+, Na+ or Cs+; 138 mM) or an alkaline earth metal ion (Mg2+, Ca2+, Sr2+ or Ba2+; 92 mM) as the only significant cationic charge carrier. From this type of experiment it was readily apparent that the alkaline metals gave a larger current than did the alkaline earths (see Fig. 6A). To make a quantitative comparison, we estimated the unitary current amplitude at each holding potential either by non-stationary variance analysis or by direct measurement of the size of current steps. As shown in Fig. 6B, the EhI relationships obtained differed not only in the slope but also in the reversal potential Er, indicating a difference in the permeability of NSCCL to the ions. Table 1 gives the values of Er for the substitute cations (X) together with the permeability ratios PX/PNa calculated using eqn (13). We see from Table 1 that the cations fall in the permeability sequence Cs+ > Na+ > Li+ > Ba2+
Sr2+ > Ca2+ > Mg2+. NSCCL thus exhibited a mild selectivity in favour of the monovalent cations, although it was also measurably permeable to the divalent cations including Ca2+.
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2 relationships (not shown) at 4 fA and 17 fA for the currents evoked in PSS and Ba2+-substituted solution, respectively. To examine the voltage dependence of the current, a ramp voltage pulse falling from +120 mV to 80 mV at a constant rate of 1 V s1 was applied before and during the application of CCh, and the voltagecurrent relationships were calculated as the difference between the current changes in response to the ramp pulses. As shown in Fig. 7B, the whole-cell current evoked in normal PSS showed inward-going rectification and changed the polarity at about 5 mV. The total cation substitution with Ba2+ caused a marked increase in the degree of rectification and a shift of the voltage of polarity reversal to +25 mV. Table 1 includes the permeability ratios estimated from the shifts of the reversal potential. We see now that the permeability sequence for NSCCS is Ba2+ > Sr2+ > Ca2+ > Mg2+ > Cs+ > Na+
Li+. In contrast to NSCCL, NSCCS thus exhibited higher permeabilities to the divalent cations (including Ca2+ for which PCa/PNa= 2.6) than to the monovalent cations. On-cell patch clamp recording of the NSCCL current
Although we tried to record single-channel currents of NSCCL from on-cell membrane patches in more than 250 cells, most of the trials were unsuccessful. This was not unexpected because the density of NSCCL that were open during stimulation by CCh is extremely low, as shown above. We were only able to record CCh-evoked NSCCL openings under on-cell membrane-patch voltage clamp in six cells.
Figure 8 shows typical results obtained from one of the successful trials. The pipettes used for these experiments were filled with PSS containing 2 µM CCh and 2 µM iberiotoxin, a specific blocker of BK-type K+ channels (Galvez et al. 1990), and their tips were plugged with a small amount of normal PSS containing neither CCh nor iberiotoxin by immersing in PSS and applying a weak negative pressure (50 to 100 mmHg for 310 min) from the other end. The bath was perfused with high (100 mM) K+ PSS. After establishment of giga-seal (t= 0 min), the potential in the pipette (Ep) was held constant at 0 mV, and a series of rectangular voltage pulses (Ep changing from 80 mV to +70 mV at 1020 mV steps) of 250 ms duration at 5 s intervals was intermittently applied. At the start of the recording (t= 05 min; Fig. 8A), the opening of Ca2+-dependent K+ channels (BK type) carrying large outward current at positive potentials was often observed. Application of 2 µM CCh to the bath during this period caused no discernible change in the channel activity in the membrane patch in any of the cells examined (not shown). The BK channel stopped opening by 15 min and in the six successful trials, single-channel openings started to be observed (Fig. 8B). After the openings had started, they were unaffected by bath application of 10 µM atropine in any of the six trials. The plot of the unitary current amplitude against Ep (not shown) could be fitted with a straight line which crossed the Ep axis at a voltage near 0 mV, and from the slope of this regression line, the unitary conductance of 35 pS was estimated, indicating that the single-channel currents were produced by the opening of NSCCL. The BK channel activity and its gradual disappearance, the latter of which is probably due to the arrival of iberiotoxin at the extracellular surface of the membrane patch by diffusion, were observed not only in the six successful trials but also in most of the other unsuccessful trials where no NSCCL openings were observed. (Iberiotoxin (4.3 kDa) is known to inhibit BK channels at subnanomolar concentrations (Galvez et al. 1990), whereas at least 0.1 µM CCh (147.19 Da) is required to activate NSCCL (see Fig. 4Bb). Given such an exceedingly high affinity of iberiotoxin to BK channels, it is not surprising that the effect of iberiotoxin, which has a larger molecular size than CCh, usually appeared earlier than did that of CCh. Despite the relatively large difference in the molecular sizes, the ratio of the diffusion coefficients of CCh and iberiotoxin is estimated to be at most 5, using the well-known rule of thumb that the diffusion coefficient is inversely proportional to the cube root of the molecular mass.) In two of the six cells, the number of open channels gradually increased and reached a steady level by 2030 min (Fig. 8C), but in the other four cells such an increase did not occur and only a small number of NSCCL openings continued to be observed for more than 60 min (not shown). The reason for this difference is not clear from the present experiments.
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Possible involvement of G-protein-dependent pathway in the muscarinic signal transduction
When we used pipette solutions containing no GTP, as we did in our previous experiments (Takai et al. 1997), currents accompanied by a clear increase in noise were observed in only 38 out of the 254 cells which gave clear inward currents in response to 2 µM CCh at the holding potential of 50 mV. In contrast, the presence or absence of GTP in pipettes did not change the properties of the NSCCS currents to a considerable degree. For CCh-evoked currents of smooth appearance recorded from 218 cells using a pipette solution containing no GTP, variance analysis estimated a mean
value of 4.88 ± 0.06 fA (n= 288 responses), which is not significantly different from the value given above for the NSCCS currents recorded using a pipette solution containing GTP.
As shown in Fig. 9A, replacement of GTP in the pipette solution with its poorly hydrolysable analogue GTP
S gradually caused spontaneous opening of NSCCL in the absence of CCh, suggesting a G-protein-linked signalling mechanism. CCh (2 µM), when applied 12 min after the establishment of the whole-cell configuration, accelerated the appearance of the effect of GTP
S (Fig. 9B). In 9 out of the 11 cells in which similar results were obtained, CCh not only activated NSCCL but also caused a marked change in the mean current level, which was probably caused by opening of NSCCS (Fig. 9B). The effect on the mean current level was reversible, in contrast to that on NSCCL which was sustained after removal of CCh. Essentially the same results were obtained if the concentration of GTP
S was increased to 360 µM (observation in 2 cells). These results suggest that the signals from the muscarinic receptors are sent to NSCCL by a G-protein-linked mechanism whereas they reach NSCCS through some different pathway which might conceivably be independent of G-proteins (see Discussion).
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Inhibitory effect of intracellular Ca2+ on NSCCS
Figure 10 shows the effects of increasing the intracellular Ca2+ concentration [Ca2+]i on the CCh-induced currents. The bath was perfused with normal PSS or a solution in which alkaline and alkaline earth cations in PSS were totally replaced with either Ba2+ or Sr2+. The pipettes used were filled with solution containing 70 or 400 nM free Ca2+. It has been shown in several mammalian cells that elevation of [Ca2+]i activates some types of non-selective cation channel. In the bovine ciliary muscle, however, the current elicited by CCh was suppressed by nearly 8085% when [Ca2+]i was increased from 70 to 400 nM (Fig. 10; PSS), confirming our previous observations (Takai et al. 1997). Still more marked (9095%) reduction of the current amplitude was observed when the extracellular cations were totally replaced with Ba2+ or Sr2+, to which NSCCS exhibits considerably higher permeabilities than it does to monovalent cations (see Table 1 above). In our previous experiments, the opening of NSCCL was clearly observed even when the [Ca2+]i was increased to 700 nM, indicating that NSCCL is much less sensitive to elevation of [Ca2+]i. The reduction of the CCh-induced current caused by increasing [Ca2+]i thus appears to be due mostly to inhibition of NSCCS.
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