Abstract
Whole-cell recordings and Ca2+ flux measurements were made at a giant calyx-type synapse in rat brainstem slices to determine the contribution of glutamate receptor (GluR) channels and voltage-dependent Ca2+ channels (VDCCs) to postsynaptic Ca2+ influx during synaptic transmission. A single presynaptic action potential (AP) evoked an EPSP, followed by a single AP. The EPSP–AP sequence caused a postsynaptic Ca2+ influx of ∼3.0 pC, primarily through VDCCs (∼70%) and NMDA-type (up to 30%) channels but also through AMPA-type (<5%) GluR channels. At −80 mV, the fractional Ca2+ current (Pf) mediated by AMPA receptor (AMPAR) and NMDA receptor (NMDAR) channels was 1.3 and 11–12%, respectively. Simulations of the time course of Ca2+ influx through GluR channels suggested that the small contribution of AMPAR channels occurred only during the first few milliseconds of an EPSP, whereas influx through NMDAR channels dominated later. The NMDAR-mediated Ca2+ influx was localized in regions covered by the presynaptic terminal, whereas the Ca2+ influx mediated by VDCCs was more homogeneously distributed. Because of the temporal and spatial differences, calcium ions entering through the three different pathways are likely to activate different intracellular targets in the postsynaptic cell.
Keywords: action potential, fura-2, fractional Ca2+current, postsynaptic Ca2+ influx, medial nucleus of the trapezoid body, calyx of Held, glutamate receptors, Ca2+channels, Ca2+ imaging
Inflow of Ca2+into neurons serves many functions. Increases in presynaptic Ca2+ concentration trigger neurotransmitter release and control different forms of short-term synaptic plasticity (Katz, 1969; Zucker, 1994). Ca2+ entry into the postsynaptic cell controls dendritic excitability (Kennedy, 1989), both increases and decreases in synaptic efficacy (Bliss and Collingridge, 1993), and gene expression (Gallin and Greenberg, 1995; Bito et al., 1997).
The postsynaptic Ca2+ influx at excitatory glutamatergic synapses occurs via several pathways. First, glutamate receptor (GluR) channels are Ca2+-permeable. Their permeability depends on the receptor subtype and subunit composition (Burnashev, 1996). The permeability of Ca2+ relative to monovalent cations can be derived from reversal potential measurements under bi-ionic conditions. A more direct measure of Ca2+ influx is the fractional Ca2+ current (Pf), which is the ratio of the Ca2+ charge to the charge carried by all permeant cations. Pf values have been obtained in simultaneous measurements of whole-cell currents and fluorescence changes of the Ca2+ indicator fura-2 (Schneggenburger et al., 1993; Neher, 1995) during nonsynaptic application of GluR agonists. Under these conditions, NMDA-type GluR channels are more permeable to Ca2+ than AMPA-type GluR channels (Schneggenburger et al., 1993; Burnashev et al., 1995;Garaschuk et al., 1996). A second pathway for Ca2+entry is voltage-dependent Ca2+ channels (VDCCs), which may be opened during postsynaptic depolarizations. Ca2+ enters through low-threshold VDCCs in dendrites during subthreshold EPSPs (Markram and Sakmann, 1994; Magee et al., 1995), and evidence has accumulated for the presence of high-threshold VDCCs in dendritic shafts and spines (Denk et al., 1996). A third possible source of postsynaptic increases of the cytoplasmic intracellular Ca2+ concentration ([Ca2+]i) is the release of Ca2+ from intracellular stores after synaptic activation (Eilers and Konnerth, 1997).
Little is known, however, about the amount of Ca2+entering the postsynaptic cell at a single synapse, the relative contribution of the different pathways during synaptic transmission, and the localization of postsynaptic Ca2+ entry. We addressed these questions in a giant axosomatic synapse located in the medial nucleus of the trapezoid body (MNTB) in rat brainstem slices and measured postsynaptic Ca2+ influx using whole-cell recordings combined with fura-2 fluorescence measurements.
The MNTB serves as an inverting relay in the auditory pathway (Helfert and Aschoff, 1997). It receives input from the contralateral anteroventral cochlear nucleus and projects to the ipsilateral lateral superior olive. Each of the MNTB principal neurons is excited by a single large presynaptic terminal, and each presynaptic action potential (AP) elicits a single EPSP and postsynaptic AP (Guinan and Li, 1990; Banks and Smith, 1992; Forsythe and Barnes-Davies, 1993;Borst et al., 1995). Taking advantage of the large size of the synaptic currents, we quantified the contribution of VDCCs and of two classes of GluR channels to the Ca2+ influx during normal synaptic transmission. In contrast to earlier studies, we directly measured the Pf values of AMPA receptor (AMPAR) and NMDA receptor (NMDAR) channels during synaptic activation, and we investigated, using imaging techniques, the subcellular location of the Ca2+ entry via the different pathways.
MATERIALS AND METHODS
Whole-cell recordings and solutions. Transverse brainstem slices (200-μm-thick) were cut from 8- to 10-d-old Wistar rats using a Vibratome (Campden Instruments, Loughborough, England). Slices were incubated for 30 min at 37°C and maintained at room temperature (22–24°C) thereafter. The extracellular solution contained (in mm): 125 NaCl, 2.5 KCl, 1 MgCl2, 2 CaCl2, 25 dextrose, 1.25 NaH2PO4, 0.4 ascorbic acid, 3myo-inositol, 2 sodium pyruvate, and 25 NaHCO3, pH 7.4 when bubbled with carbogen (95% O2 and 5% CO2). During slice preparation, 0.1 mm CaCl2 and 3 mmMgCl2 were used instead. Slices were mounted on an upright microscope (Axioskop FS; Zeiss, Oberkochen, Germany) and continuously superfused at 1–3 ml/min. All experiments were done at room temperature.
MNTB principal neurons were visually identified using an infrared illumination system (Luigs & Neumann, Ratingen, Germany). They were afferently stimulated with a bipolar electrode (5–30 V, 10–40 μsec) placed in the trapezoid body at the mid-line (Borst et al., 1995). Whole-cell recordings from principal neurons were made with thick-walled borosilicate glass pipettes (2–3 MΩ) using an Axopatch 200B amplifier (Axon Instruments, Foster City, CA). Currents and voltages were filtered at 3 kHz (8-pole Bessel filter; Frequency Devices, Haverhill, MA) and sampled at 20 kHz with a 16-bit analog-to-digital converter (ITC-16; Instrutech, Great Neck, NY) interfaced to a PowerPC using Pulse Control version 4.6 (Herrington and Bookman, 1994). In voltage-clamp experiments, the uncompensated series resistance was <24 MΩ, and series resistance compensation was at least 85%. Potentials were corrected for a −11 mV junction potential between the extracellular and pipette solution. The fast current-clamp mode of the Axopatch 200B was used for voltage recordings, allowing reliable recording of APs (Magistretti et al., 1996). During current injections, the bridge was balanced. The interval between APs was typically 1 min.
The pipette solution contained (in mm): 115 potassium gluconate, 20 KCl, 10 disodium phosphocreatine, 4 MgATP, 0.3 GTP, and 10 HEPES, pH 7.2 adjusted with KOH. Spermine (0.1 mm) was added to the solution to prevent alteration of AMPAR current rectification (Koh et al., 1995b). Different concentrations of fura-2 (Molecular Probes, Portland, OR) were added to the solution as noted. Current–voltage (I–V) relationships of GluR-mediated currents were measured with K+replaced by Cs+ in the intracellular solution. Ca2+ currents were isolated as described by Borst et al. (1995). To study AMPAR channels in isolation, 50 μmd-(-)-2-amino-5-phosphonopentanoic acid (d-APV) (Tocris Cookson, Bristol, UK) was added to the bath. In a few experiments, desensitization of AMPAR was minimized by cyclothiazide (50–100 μm; Tocris). NMDAR channels were pharmacologically isolated with 10 μm6-nitro-7-sulfamoylbenzo[f]quinoxaline-2,3-dione (NBQX) (Tocris). Current-clamp recordings were performed in the presence of 10 μm extracellular glycine to saturate the glycine binding site of the NMDAR (Wilcox et al., 1996), although in three control experiments there was no rundown of NMDAR-mediated currents for up to 90 min without glycine in the extracellular solution and no effect of adding 10 μm glycine. Glycine receptors were blocked by 10 μm strychnine.
Ca2+ flux measurements. Fura-2 fluorescence was measured as described by Helmchen et al. (1997), using a 40× water-immersion objective (0.75 NA; Zeiss) and a 12-bit cooled charge-coupled device (CCD) camera (PXL; Photometrics, Tucson, AZ). Excitation light at 380 nm was attenuated to 4–12% with neutral density filters. Emission light was filtered using a 400 nm dichroic mirror and a 420 nm longpass (TILL Photonics, Munich, Germany). The average fluorescence from a fixed region (80 × 80 pixels) on the frame transfer CCD chip was measured with 57 msec sampling interval. Camera pixels in this region were binned 4 × 5 to reduce noise, staying within the dynamic range of the camera. Binned pixels were averaged off-line. For ratiometric measurements, the fura-2 fluorescence at the Ca2+-insensitive excitation wavelength (355 nm) was measured directly before and after each measurement and was interpolated (Helmchen et al., 1997).
Ca2+ fluxes were measured using 1 mmfura-2 to overload MNTB neurons with the Ca2+indicator (Schneggenburger et al., 1993; Neher, 1995). Assuming a single compartment model in which the competition of the indicator (B) with a pool of rapid endogenous buffers (S) is considered, the so-called F/Q ratiof is given by:
Equation 1 |
where ΔF is the fluorescence change,QCa is the integral of the Ca2+ current, and κS andκB are the Ca2+-binding ratios of the endogenous buffer and the indicator, respectively (Neher and Augustine, 1992). To calculate the exogenous Ca2+-binding ratioκB, we used the incremental Ca2+-binding ratio as defined by Neher and Augustine (1992). Fura-2 overload is reached when κB is much larger than κS. In this case,f approaches fmax, and ΔF is directly proportional to the total Ca2+ influx QCa. For normalization, all measured fura-2 fluorescence intensities were divided by the average intensity of five fluorescent beads (4.5 μm diameter fluoresbrite BB beads; Polysciences, Warrington, PA), which were measured on each experimental day. Thus, fluorescence decrements (ΔF380) are expressed in “bead units” (BU) (Schneggenburger et al., 1993). Decrements were determined by taking the difference (evaluated at 400 msec after the stimulus) between the baseline fluorescence and a line fitted to the first 20 data points after the stimulus.
The fractional Ca2+ current (Pf) specifies the percentage of contribution of Ca2+ to the net cation charge (Qtot) through nonselective receptor channels (Schneggenburger et al., 1993; for review, see Neher, 1995). The time course of the Ca2+ charge (QCa) was obtained by dividing the fluorescence trace ΔF380 byfmax. Pf values were determined by scaling Qtot to fitQCa within the first 600 msec after the stimulus. Ca2+ extrusion was assumed to be negligible during this time window. In a second approach, simulated fluorescence traces, assuming a single rate constant Ca2+ extrusion mechanism, were fitted to the entire fluorescence trace according to Schneggenburger et al. (1993), their Equation 8.
Current waveform injections. In current-clamp recordings, injection of current waveforms was used to generate membrane potential changes similar to those evoked by synaptically activated currents through GluR channels. Rather than using a dynamic clamp to perform conductance injection (Robinson and Kawai, 1993; Sharp et al., 1993), we used a more empirical approach to find a current waveform that would mimic the effect of the synaptic currents. The injected current (Iinj) consisted of three components:
Equation 2 |
The time course of the AMPAR-mediated current [A(t)] was modeled as an exponentially rising and biexponentially falling waveform [τrise, 100 μsec;τfast, 1–1.2 msec (98% of amplitude);τslow, 14 msec] (Borst et al., 1995). A similar waveform but with slower kinetics was used for the NMDAR-mediated component [B(t)] [τrise, 2–2.6 msec;τfast, 44 msec (65%);τslow, 147 msec] (Barnes-Davies and Forsythe, 1995). These temporal functions represent the conductance changes of the GluR channels, which are proportional to the EPSCs in voltage clamp. In current clamp, however, the driving force for the synaptic currents changes and even reverses sign during the AP. Thus, the synaptic conductance increase of GluR channels shunts other ionic currents, e.g., Na+ currents, which leads to a reduction of the AP amplitude. To account for these effects, we empirically subtracted a Gaussian-shaped term [C(t)] during the rapid phase of the AP (mean, 0.55–0.9 msec; SD, 0.16–0.2 msec). The ranges of amplitudes used for the three current components were IAMPA, 2.4–4 nA, INMDA, 8–160 pA, andIshunt, 0.6–2 nA. The waveform parameters were slightly varied during the experiment, e.g., the current amplitudes and the onset of the Gaussian, to optimize the overlay of the AP evoked by current waveform injection with the afferently stimulated one. The waveforms obtained with this approach resembled currents measured during APs using dynamic clamp of the conductance (Robinson and Kawai, 1993; Reyes et al., 1996). If APs were evoked by afferent stimulation but in the presence of d-APV, only the NMDAR-mediated current component was substituted [A(t) =C(t) = 0].
Some rundown was observed in the postsynaptic Ca2+influx, estimated to be on average 9%/10 min. To minimize the contribution of rundown, Ca2+ influx was measured between 10 and 35 min after break-in. In experiments in which the effect of d-APV was tested, the Ca2+influx evoked by current waveform injection had to be constant within 25% throughout the experiment to be accepted.
Simulation of Ca2+ influx through GluR channels. I–V relationships for peak currents through AMPAR channels were fitted with fifth-order polynomials. The voltage-dependent Mg2+ block of NMDAR channels was modeled using Woodhull’s theory (Woodhull, 1973):
Equation 3 |
where gNMDA denotes the peak conductance, assuming a linear I–V relationship in the absence of Mg2+, Erev is the reversal potential of the synaptic conductance, [Mg2+]o is the external Mg2+ concentration, K0represents the IC50 at 0 mV, δ is the apparent electrical distance of the Mg2+ binding site from the outside of the membrane, z is the valence of Mg2+, and F, R, andT have their usual thermodynamic meanings. The voltage dependence of the Pf was modeled according to the Goldman–Hodgkin–Katz (GHK) current equation (Schneggenburger et al., 1993; Burnashev et al., 1995; Koh et al., 1995a), assuming the internal Ca2+ concentration to be zero:
Equation 4 |
wherePCa/PM denotes the relative permeability to Ca2+ compared with the monovalent cations, which were assumed to all have the same permeability. [M] represents the total activity of monovalent cations obtained by multiplying a concentration of 155 mm with an activity coefficient of 0.76 on both sides of the membrane. Similarly, the external Ca2+ concentration of 2 mmwas multiplied with an activity coefficient of 0.58 (Spruston et al., 1995). PCa/PM was calculated from the measured Pf values at −80 mV. For AMPAR,PCa/PM was 0.33, lower than the value of 1.1 that was obtained in outside-out patches (Geiger et al., 1995). Possible causes for this discrepancy between measured and calculatedPCa/PM values are discussed by Burnashev et al. (1995).
To simulate the Ca2+ influx through GluR channels during a suprathreshold EPSP, the Ca2+ current through AMPAR and NMDAR channels was calculated for each membrane potential by multiplying the I–V relationship withPf(V) (see Fig.6c,f). The reversal potentials of the modeled GluR currents were set equal to the reversal potentials predicted by the assumptions used for Equation 4 (Spruston et al., 1995).
Ca2+ imaging. To determine the localization of postsynaptic Ca2+ influx, simultaneous presynaptic and postsynaptic recordings from MNTB synapses were performed (Borst et al., 1995). Presynaptic terminals were loaded with 0.4–1 mm MagFura-2 and principal neurons with 0.4–1 mm Oregon Green 488 BAPTA-5N (OGB-5N) (both from Molecular Probes). Using a 500 nm dichroic mirror and a 510 nm longpass filter, the fluorescence of the two dyes was separated by exciting at 380 and 488 nm, respectively, without the need to change filters. The presynaptic pipette solution contained K+ when afferent stimulation was used, whereas the postsynaptic solution contained Cs+ to block K+channels. A 60× water-immersion objective (0.9 NA; Olympus Optical, Tokyo, Japan) was used in conjunction with a fast 12-bit CCD camera (Borst et al., 1995). Image series of the postsynaptic neuron were acquired at 30 Hz from a subarray of 110 × 110 pixels containing the MNTB principal neuron. Images were smoothed with a 3 × 3 pixel Gaussian filter. Prestimulus images were averaged to obtain a basal fluorescence image, which was subtracted from all images to obtain difference images (ΔF). Assuming spatially homogeneous Ca2+-binding ratios and in the absence of buffer saturation, these difference images represent the accumulation and spread of Ca2+, because ΔF is proportional to QCa under these conditions (Eq. 1).
RESULTS
Fura-2 overload in MNTB principal neurons
Postsynaptic Ca2+ fluxes in MNTB principal neurons were studied using the fura-2 overload technique. If applied in sufficiently high concentrations, fura-2 outcompetes endogenous Ca2+ buffers and reports Ca2+fluxes rather than Ca2+ concentrations (Neher, 1995). To define conditions for fura-2 overload in MNTB neurons, visually identified neurons were loaded with different concentrations of fura-2 via whole-cell patch pipettes (Fig.1a–c). The loading time course could be described by a single exponential function with a time constant of 104 ± 13 sec (mean ± SEM; n = 13) (fit not shown). During loading of a cell, Ca2+currents were elicited by brief depolarizing voltage steps, resulting in transient fura-2 fluorescence decrements at an excitation wavelength of 380 nm (ΔF380). As the intracellular fura-2 concentration rose from 0.05 to 0.5 mm, Ca2+ currents of similar size evoked ΔF380 of increasing amplitudes (Fig.1d). At fura-2 concentrations larger than 0.5 mm(corresponding to a fura-2 Ca2+-binding ratioκB > 1000), no further changes in the ratio of ΔF380 over the Ca2+current integral (F/Q ratio, see Materials and Methods) were resolved (Fig. 1e). Fluorescence changes were also ratiometrically converted to changes in intracellular free Ca2+concentration ([Ca2+]i). With increasing fura-2 concentration, the amplitude of [Ca2+]i transients decreased, whereas the decay to the resting level was prolonged (Fig. 1d). After loading with 1 mm fura-2, [Ca2+]i transients had a peak amplitude of 8.4 ± 0.8 nm and decayed with time constants >5 sec (n = 13).
These results demonstrate that fura-2 effectively competes with the endogenous Ca2+ buffers. At a concentration of 1 mm, fura-2 captured virtually all incoming Ca2+. Therefore, we assumed that ΔF380 is proportional to the chargeQCa under these conditions. The proportionality constant, which is the maximal F/Q ratiofmax, was determined by applying depolarizing voltage steps of different duration (5–30 msec) after loading with 1 mm fura-2 and was 15.2 ± 0.6 BU/nC (n = 12) (data not shown). To obtain an estimate of the endogenous Ca2+-binding ratioκS, we plotted the F/Q ratios of all loading experiments versus the fura-2 Ca2+-binding ratio κB (Fig. 1e). A fit of the data according to Equation 1, with fmax held constant at the above value, yielded a value of 80–90 forκS, indicating that the Ca2+-binding ratio of the endogenous buffers was equivalent to a fura-2 concentration of <50 μm. In subsequent experiments, we overloaded MNTB neurons with 1 mm fura-2 to measure postsynaptic Ca2+influx during synaptic transmission.
Ca2+ influx during a single suprathreshold EPSP
At the MNTB synapse, a single presynaptic AP elicits large postsynaptic currents. They generate an EPSP that initiates a single postsynaptic AP. After loading MNTB neurons with fura-2, the Ca2+ influx during the AP that was evoked by afferent stimulation could be quantified (Fig.2a). Evoked EPSPs rapidly (∼0.5 msec) reached threshold, initiating an AP that had an amplitude of 96 ± 2 mV and a half-width of 1.01 ± 0.05 msec (n = 18; Fig. 2b, left). The AP was followed by a slow depolarizing afterpotential. Ten milliseconds after stimulation, its amplitude was 12 ± 2 mV above the resting membrane potential of −71 ± 1 mV. It decayed half-maximally in 43 ± 7 msec (Fig. 2c). The afterpotential was also present at low fura-2 concentrations (10–50 μm;n = 5) (data not shown), indicating that it was not caused by the overload method. The postsynaptic AP was accompanied by large fura-2 fluorescence decrements, corresponding to an average Ca2+ charge of 3.0 ± 0.4 pC (Fig.2a,d). Thus, approximately 9 × 106 calcium ions entered a principal neuron during a single afferently evoked postsynaptic AP. We next evaluated the relative contributions of VDCCs and NMDAR and AMPAR channels to the total Ca2+ influx.
Contribution of VDCCs to Ca2+ influx during a suprathreshold EPSP
During an afferently evoked AP, Ca2+ enters the postsynaptic cell via both GluR channels and VDCCs. To dissect the relative contribution of these pathways, we evoked APs by current injection via the patch pipette. These APs will selectively activate VDCCs. Pulse-like current injections evoked APs that had larger amplitudes (100 ± 1 mV) and shorter half-widths (0.87 ± 0.04 msec) when compared with afferently evoked APs (Fig.2b, middle). They lacked the slow afterpotential. Instead, they were followed by an afterhyperpolarization (Fig.2c). The associated ΔF380corresponded to 1.7 ± 0.2 pC (n = 9), significantly less than during a synaptically evoked AP. Because Ca2+ currents through VDCCs critically depend on the shape of the AP, we used current waveform injections to elicit APs whose shape resembled synaptically evoked APs more closely. The waveform of the current injected was based on the time course of the conductance changes of the AMPAR and NMDAR channels and their shunting effect on the amplitude of the AP (see Materials and Methods). APs evoked by current waveform injections closely matched those evoked by afferent stimulation (Fig. 2b, right). Their amplitude was 96 ± 2 mV, and their half-width was 1.04 ± 0.04 msec (n = 18). They also displayed the slow afterpotential (Fig. 2c). In this case, the evoked ΔF380 corresponded to a Ca2+ charge of 2.0 ± 0.3 pC (Fig.2d). The Ca2+ influx evoked by current waveform injections was 70 ± 3% of the Ca2+influx evoked by afferent stimulation in the same cells (n = 18). Thus, ∼70% of the total postsynaptic Ca2+ influx during a suprathreshold EPSP was mediated by VDCCs. This suggests that the remaining 30% originated from GluR channels.
Contribution of NMDAR channels to the Ca2+influx during a suprathreshold EPSP
Postsynaptic currents in MNTB principal neurons are mediated by both AMPAR and NMDAR channels (Forsythe and Barnes-Davies, 1993). To determine the contribution of NMDAR channels to the Ca2+ influx during a synaptically evoked AP, we compared the postsynaptic Ca2+ influx during a synaptically evoked AP before and after blocking NMDARs with 50 μmd-APV (Fig.3). After blocking NMDARs, EPSPs still elicited an AP. However, the decay of the slow afterpotential was faster compared with control (Fig. 3b). The ΔF380 evoked by these suprathreshold EPSPs corresponded to 62 ± 5% (n = 5) of control. To restore the slow time course of the AP, we substituted the blocked NMDAR-mediated current component by postsynaptic current injection (Fig. 3c). Under this condition, ΔF380 increased to 69 ± 4% of the influx during the afferently evoked AP in the control period. Because this increase is small, the increase in the depolarizing afterpotential appeared to have little effect on the VDCCs. Because the Ca2+ influx during APs evoked by current waveform injections and during synaptically evoked APs with NMDARs blocked was similar, this suggests that NMDAR channels are the dominating pathway for postsynaptic Ca2+ influx through GluR channels.
Fractional Ca2+ current through NMDAR channels during unitary EPSCs
To further quantify the Ca2+ influx through GluR channels during synaptic transmission, we pharmacologically isolated NMDARs and AMPARs and determined the fractional Ca2+ currents during EPSCs. NMDAR-mediated EPSCs were measured in principal neurons loaded with fura-2 by blocking AMPARs with NBQX (Fig. 4). In Mg2+-free extracellular solution, EPSCs had amplitudes of several nanoamperes at a holding potential of −80 mV and a relatively slow decay time course (Fig. 4a,b). The Pf of the synaptically activated NMDAR channels was determined as the scaling factor betweenQNMDA and the decrease in fura-2 fluorescence within a narrow time window (Fig. 4b). This yielded aPf value of 11.4 ± 0.4% (n = 9). Alternatively, Pf was obtained from a fit of the entire time course of ΔF380 according to Schneggenburger et al. (1993), their Equation 8, which assumes a Ca2+extrusion mechanism that linearly depends on [Ca2+]i. The result of this analysis yielded a similar value for Pf (11.8 ± 0.4%). In six experiments, NMDAR-mediated EPSCs were also measured in the presence of 1 mm[Mg2+]o. The time course of the EPSCs was not different compared with those in Mg2+-free solution, but their amplitude at −80 mV was reduced ∼70-fold, attributable to the voltage-dependent Mg2+ block of NMDAR channels (Fig. 4c,d). ThePf obtained from the two analysis methods were 11.4 ± 0.9 and 12.4 ± 2.0%, respectively. These values are not significantly different from those obtained in Mg2+-free solution (p > 0.7; paired t test), confirming that Pf is independent of the Mg2+ block (Schneggenburger et al., 1993; Burnashev et al., 1995).
Fractional Ca2+ current through AMPAR channels during EPSCs
AMPAR-mediated EPSCs were measured in the presence ofd-APV to block NMDAR channels (Fig.5). These EPSCs had amplitudes of 2–10 nA at −80 mV and a fast time course, as described previously (Forsythe and Barnes-Davies, 1993; Borst et al., 1995). A single EPSC caused a charge entry of 10.4 ± 1.3 pC (n = 8) within the first 100 msec after the stimulus but no measurable change in fura-2 fluorescence. High-frequency stimulation was needed to evoke a detectable Ca2+ influx (Fig.5a,b). The fractional Ca2+current through AMPAR channels, determined using the two methods described above, was 1.4 ± 0.2 and 1.5 ± 0.2%, respectively (n = 16). After repetitive stimulation, a small inward current persisted for several seconds (Fig.5b, IAMPA). This current could be caused by a prolonged presence of glutamate in the synaptic cleft, as has been reported for a different calyx-type synapse (Otis et al., 1996). Addition of the AMPA and kainate receptor blocker NBQX (10 μm) reduced the charge accumulated during a 100 Hz train to 10 ± 3% (n = 5, data not shown). ThePf of the current that was resistant to bothd-APV and NBQX ranged between 2 and 6% (n= 3), indicating that it was not simply because of an incomplete block of NMDAR. Because of the contribution of the d-APV- and NBQX-resistant current to the Ca2+ influx during high-frequency stimulation, we also measured Pfin the presence of cyclothiazide (50–100 μm) to minimize AMPAR desensitization. Under this condition, two to five stimuli at 5–10 Hz were already sufficient to detect measurable Ca2+ influx (Fig. 5c). ThePf was 1.2 ± 0.2% with the scaling method and 1.3 ± 0.2% with the fitting procedure, i.e., 10 ± 16% lower than the Pf measured in the same cells during high-frequency stimulation in the absence of cyclothiazide. Because cyclothiazide specifically blocks desensitization of AMPAR, this suggests that the Ca2+ influx was mediated by AMPAR channels, and thus, we estimate the Pf for AMPAR channels between 1.1 and 1.5%.
From the total charge entry during a single AMPAR-mediated EPSC and with a Pf of 1.4%, it follows that ∼0.14 pC is carried by Ca2+ during a single AMPAR-mediated EPSC. This corresponds to <5% of the total Ca2+influx during a synaptically evoked AP. However, AMPAR channels will contribute even less during an AP, because the driving force for Ca2+ decreases during the fast membrane depolarization.
Voltage dependence of the Ca2+ influx through GluR channels
The fraction of current through GluR channels that is carried by Ca2+ depends on the membrane potential. At depolarized membrane potentials, the fluorometric measurement of Ca2+ fluxes through GluR channels is obscured by influx through VDCCs, and extracellular blockers of VDCCs could not be applied, because they would interfere with synaptic transmission (Wu et al., 1998). As an alternative approach based on GHK assumptions (Schneggenburger et al., 1993; Schneggenburger, 1996), we determined the I–V relationships of NMDAR- and AMPAR-mediated EPSCs and calculated the fraction carried by Ca2+ using the measured Pf values and Equation 4 (see Materials and Methods). The I–V relationship for NMDAR-mediated EPSCs had a negative slope conductance for potentials more negative than −20 mV because of the block by extracellular Mg2+ (Fig.6a,b). A fit according to Equation 3 yielded a peak conductancegNMDA of 107 nS, a half-maximal blocking concentration K0.5 of 2.8 mm, and an electrical distance δ of 0.86. The calculated Ca2+ current ICa(NMDA) shows a peak of approximately −120 pA at −15 mV (Fig. 6c). This peak results from the opposing effects of the voltage on the relief of the Mg2+ block and the reduction in driving force for Ca2+. At positive membrane potentials, Ca2+ flux is still inward, although the net total current is flowing outward (Fig. 6b,c).
The I–V relationship for AMPAR-mediated EPSCs showed a slight double rectification (Fig. 6d,e) because of the voltage-dependent block by polyamines (Koh et al., 1995b). Similar results have been obtained in nucleated patches from the MNTB (A. Rozov and N. Burnashev, personal communication). The calculated Ca2+ currentICa(AMPA) was −85 pA at −80 mV and monotonically decreased at more positive potentials (Fig.6f). Thus, the voltage dependence of the Ca2+ current component differs substantially between NMDAR and AMPAR channels, and the relative contribution of NMDAR channels will increase at depolarized potentials.
Time course of the Ca2+ influx through GluR channels during a suprathreshold EPSP
Having measured the fractional Ca2+ currents and the time course of the conductance change through GluRs, we could simulate the time course of the Ca2+ influx via GluR channels during a suprathreshold EPSP. Based on an average AP time course, the AMPAR- and NMDAR-mediated Ca2+ currents were calculated, taking into account the GluR conductance time course and the voltage dependence of the Ca2+ influx (Fig.7). The time courses of the Ca2+ currents differed substantially for AMPAR and NMDAR channels (Fig. 7c,d). AMPAR channels activate rapidly but because the AP almost coincides with the peak conductance change, the Ca2+ current is strongly reduced during the AP because of the decreased driving force. In contrast, NMDAR channels activate more slowly, with most of the Ca2+ influx occurring after the AP. Notably, when based on the measured I–V relationship (Fig. 6), the simulated Ca2+ current integral through NMDAR channels was approximately two times larger than the measured NMDAR-mediated influx of ∼0.8 pC. This could be attributable to the fact that EPSCs and Ca2+ fluxes were measured in different subsets of neurons; furthermore, a Ca2+-dependent inactivation of NMDAR channels mediated by AMPAR or VDCC activation could contribute to the reduced Ca2+ influx during APs. Therefore, the NMDAR-mediated Ca2+ current trace shown in Figure 7,c and d, was calculated with the Ca2+I–V relationship of Figure 6c but scaled by a factor of 0.44 to match the measured and simulated Ca2+ charge through NMDAR channels. With these assumptions, during the first 5 msec of the EPSP, the accumulations of Ca2+ in the postsynaptic cell through AMPAR and NMDAR channels were comparable (Fig.7e,f). Interestingly, the NMDAR-mediated Ca2+ influx during this interval, which includes the rapid relief of NMDAR channels from the Mg2+ block during the AP, accounted for <10% of the total NMDAR-mediated Ca2+ influx. Most Ca2+ that flow into the cell via NMDAR channels enter during the depolarizing afterpotential, because the NMDAR channel conductance peaks ∼10 msec after the presynaptic AP, and the depolarizing afterpotential increases the NMDAR-mediated Ca2+ charge by 20%, because it partially relieves the Mg2+ block of the NMDAR channels.
Differential localization of Ca2+ entry through NMDAR channels and VDCCs
Because of the large size of the axosomatic MNTB synapse, it was possible to resolve where Ca2+ entered through NMDAR channels and VDCCs. Simultaneous presynaptic and postsynaptic recordings were made, and the terminal and principal neuron each were filled with a different fluorescent dye to correlate postsynaptic Ca2+ changes with the location of the presynaptic terminal (Fig. 8a). Glutamate release was evoked by either a presynaptic voltage step (n = 3) or afferent stimulation (n = 5). In each of these experiments, presynaptic stimulation resulted in synaptic currents and fluorescence increases of the low-affinity dye OGB-5N in the postsynaptic cell. These fluorescence changes occurred first in close proximity to the presynaptic calyx and subsequently (within ∼200 msec) spread over the entire postsynaptic neuron, although diffusion apparently was slowed by the nucleus (Fig.8b). In the same experiments, Ca2+ influx through VDCCs was evoked by postsynaptic depolarizations, after blocking Na+ and K+ currents (Fig. 8c). In four experiments, the highest increases of fluorescence in the images taken 50 msec after this stimulation were observed in the region not covered by the terminal (114–147% compared with the region proximal to the terminal). In two experiments, the fluorescence increases opposite to the terminal were smaller than those in the region proximal to the terminal (61 and 88%). In two neurons, the fluorescence increases of the two regions differed by <5%. The experiment in which the difference between the Ca2+ influx via NMDAR channels and VDCCs was largest is shown in Figure 8. In each of the four MNTB neurons in which the initial axon was visible in the fluorescence image, clear fluorescence increases in the axons were resolved (Fig. 8c), indicating the presence of VDCCs in the proximal axon. These results demonstrate that activation of the two main pathways of postsynaptic Ca2+ influx produces spatially different patterns of Ca2+ accumulation.
DISCUSSION
The results provide a quantitative description of the postsynaptic Ca2+ influx during synaptic transmission at the calyx-type synapse in the MNTB. A single presynaptic AP evoked in the postsynaptic neuron an EPSP that initiated a single AP. It caused, on average, a Ca2+ influx of 3 pC into the postsynaptic cell. A large fraction of the Ca2+ influx (∼70%) was mediated by VDCCs, whereas the remaining charge was contributed by Ca2+ influx through GluR channels. The influx of Ca2+ via GluR channels was dominated by the NMDAR channels, whereas AMPAR channels contributed <5% to the total Ca2+ influx. The NMDAR channels transported Ca2+ primarily subsynaptically, whereas the Ca2+ influx through VDCCs occurred more homogeneously throughout the plasma membrane of the cell body.
Dissection of different pathways for postsynaptic Ca2+ influx
The relative contribution of GluR channels and VDCCs to the postsynaptic Ca2+ influx was assessed by comparing Ca2+ influx during synaptically evoked APs, with the Ca2+ influx evoked by injecting current waveforms to mimic the shape of the synaptically evoked APs. The associated Ca2+ influx was measured using the fura-2 overload technique. Loading the postsynaptic neuron with 1 mm fura-2 was sufficient to outcompete the endogenous Ca2+buffers, because their Ca2+-binding ratio was ∼90, which is about twice the value found in the presynaptic terminal of the same synapse (Helmchen et al., 1997). In the presence of 1 mm fura-2, the Ca2+ transients decayed with time constants of several seconds (Fig. 1d,right). Therefore, postsynaptic Ca2+clearance mechanisms were neglected during the first 0.5 sec after the AP. During overload conditions, Ca2+ influx of ∼10 pC led to bulk cytoplasmic [Ca2+]iincreases of <10 nm. Under these conditions, Ca2+-induced Ca2+ release (Eilers and Konnerth, 1997) is unlikely to occur. Other modes of Ca2+ release from internal stores are not likely to contribute either, because the relationship between the amount of Ca2+ entering the soma and the amplitude of fluorescence decrements was linear for a given fura-2 concentration and because Ca2+ transients measured at low fura-2 concentrations decayed monoexponentially.
When postsynaptic Ca2+ fluxes during current injection and afferent stimulation were compared, it was assumed that the properties of the VDCCs were not changed by the synaptically released glutamate. This assumption is reasonable, because inhibition of VDCCs by postsynaptic metabotropic GluRs is most likely too slow to modulate VDCCs during a single AP (Swartz and Bean, 1992).
Contribution of voltage-dependent Ca2+ channels
VDCCs contributed ∼2 pC of Ca2+ during a suprathreshold EPSP. This is about twofold higher than the Ca2+ influx into presynaptic terminals in the MNTB during a single AP (Borst and Sakmann, 1996; Helmchen et al., 1997). This difference in Ca2+ influx is probably because of the slower time course of the postsynaptic APs. During APs, the Ca2+ current through VDCCs occurred during the repolarization phase of the AP (data not shown). This Ca2+ charge transport corresponds to a peak current of 1–2 nA through high-threshold VDCCs, which is a brief Ca2+ pulse 50–100 times larger than the GluR-mediated Ca2+ current at that instant. It might seem that the large relative contribution of the VDCCs could be a property characteristic for the giant MNTB synapse. However, a significant contribution of VDCCs to Ca2+ transients evoked by synaptic activation has also been reported for the dendrites of neurons, both under subthreshold conditions (Miyakawa et al., 1992;Markram and Sakmann, 1994) and under conditions when backpropagating APs open high-threshold VDCCs (Jaffe et al., 1992; Miyakawa et al., 1992). Furthermore, there is direct evidence for the presence of VDCCs in dendritic spines (Denk et al., 1996; Koester and Sakmann, 1998), and recently it was shown that during subthreshold activation ∼80% of the Ca2+ influx into spines enters via VDCCs (Schiller et al., 1998).
Ca2+ influx through GluR channels
Previously, Pf values for NMDAR channels were determined by iontophoretic application or bath perfusion of GluR agonists (Schneggenburger et al., 1993; Burnashev et al., 1995; Neher, 1995). As shown in the present study, synaptically activated somatic NMDAR channels have a Pf of ∼11–12%, similar to dendritic NMDAR channels in hippocampal CA1 pyramidal neurons (Garaschuk et al., 1996). For AMPAR channels, we determined aPf of 1.1–1.5%. The observed NBQX- andd-APV-resistant current might reflect an incomplete block of NMDAR or AMPAR channels or a sustained activity of electrogenic glutamate transporters in the postsynaptic membrane (Otis et al., 1997). Previously measured Pf values for AMPAR channels range from 0.5 to 3.9% (Burnashev et al., 1995; Neher, 1995). Thus, the synaptic AMPAR channels in the MNTB have an intermediatePf. This is consistent with the intermediate value for MNTB neurons of measured Ca2+permeabilities of extrasynaptic AMPARs and the intermediate levels of mRNA encoding the GluR-B subunit (Geiger et al., 1995).
Direct and indirect contribution of GluR channels to Ca2+ influx
Remarkably, NMDAR channel activation accounted for as much as 30% of the total postsynaptic Ca2+ influx, and most of the Ca2+ entered directly via NMDAR channels. The time course of simulated NMDAR-mediated Ca2+ influx suggested that the relief of NMDAR channels from Mg2+ block during the overshoot of the AP only marginally enhanced Ca2+ influx through NMDAR channels (Fig. 7d). This is because NMDAR channels open predominantly after the AP, during the depolarizing afterpotential. The size of this afterpotential was clearly reduced in the presence ofd-APV. The partial relief of the Mg2+block caused by this d-APV-sensitive component of the afterpotential increased the Ca2+ influx via NMDAR channels by 20%. A similar mechanism is probably effective during subthreshold EPSPs at other synapses.
The Pf for AMPAR channels combined with the average charge of AMPAR-mediated EPSCs suggested that AMPAR channels contribute a surprisingly small percentage (<5%) to the total Ca2+ influx, primarily during the first 5 msec of an EPSP. This initial Ca2+ pulse could reduce the NMDAR channel opening by Ca2+-dependent inactivation (Legendre et al., 1993; Vyklicky, 1993; Kyrozis et al., 1995). The effect could partially explain the finding that the measured NMDAR-mediated Ca2+ charge during a single synaptically evoked AP was <50% of the NMDAR-mediated Ca2+ charge calculated from the simulation.
Spatial distribution of Ca2+ influx through different pathways
Spatially resolved imaging of postsynaptic Ca2+accumulations revealed differential distributions of Ca2+ entry through NMDAR channels and VDCCs (Fig.8). As expected, directly after stimulation, the glutamate-evoked Ca2+ accumulation was largest in close proximity to the terminal. In contrast, the initial VDCC-mediated fluorescence changes were distributed more homogeneously in the postsynaptic neuron and the initial axon. The most likely cause for these differences is that glutamate primarily activated synaptic NMDARs, whereas the postsynaptic voltage steps evoked Ca2+ influx through VDCCs that were localized more homogeneously throughout the somatic cell membrane. Similarly, subthreshold synaptic activation in dendrites can lead to Ca2+ increases restricted to single dendritic spines, whereas activation of VDCCs by a backpropagating AP causes a widespread Ca2+ signal in all spines and the dendritic shaft (Yuste and Denk, 1995; Koester and Sakmann, 1998).
Correlating the spatial patterns of fluorescence changes during voltage steps with the distribution of VDCCs is difficult for several reasons. The experiments were not done with a confocal microscope, which would be required to completely separate the contribution from synaptic and nonsynaptic regions. Also, because the experiments were not done in overload conditions, intracellular differences with respect to Ca2+ clearance and buffering would have to be investigated in detail before fluorescence changes can be considered directly proportional to Ca2+influx. Nevertheless, the different patterns cannot be explained by a depletion of Ca2+ in the synaptic cleft, because in most experiments the absolute fluorescence increases near the terminal were larger after NMDAR activation than after activation of VDCCs. In addition, the overall decay of the Ca2+ transients mediated by VDCCs was similar in synaptic and nonsynaptic regions, suggesting that major differences in clearance mechanisms were also not responsible for the observed regional difference. Therefore, inhomogeneities in the density of VDCCs may exist in the postsynaptic membrane, which underlie the observed nonuniform increases of fluorescence during VDCC activation.
Functional significance of different Ca2+ pathways
Intracellular Ca2+ can modulate channel properties and regulate gene expression. A large fraction of the postsynaptic Ca2+ influx in MNTB neurons depends on the activation of NMDAR channels at postnatal days 8–10, whereas in 3- to 5-week-old rats, the AMPA-type GluR antagonist CNQX almost completely blocks the EPSP in the MNTB (Banks and Smith, 1992). This suggests that the contribution of the NMDAR channels decreases during development. Thus, one function of NMDAR channels could be to provide a strong Ca2+ signal, which might be required for the synthesis of proteins stabilizing the developing synapse. The Ca2+ signal evoked by suprathreshold EPSPs is generated both subterminally and, because of the location of VDCC-mediated Ca2+ influx, near the nucleus, which is usually located eccentrically, opposite to the presynaptic calyx (J.G.G. Borst, unpublished observations). Because the thresholds for activating Ca2+ and Na+ channels were comparable (−50 and −40 mV, respectively) (data not shown), the large Ca2+ influx observed during synaptic transmission will only be present if EPSPs evoke an AP. Therefore, nuclear Ca2+ signals could depend on whether the EPSPs are suprathreshold.
The action of Ca2+ on gene expression depends on the route Ca2+ takes into a neuron (Gallin and Greenberg, 1995). Both the different locations of Ca2+ entry and the differences in time course of AMPAR-, NMDAR-, and VDCC-mediated Ca2+ influx could account for the pathway-sensitivity of second-messenger cascades. It would be interesting to investigate whether for the MNTB synapse differences in gene expression levels are controlled by the Ca2+ accumulations through NMDAR channels and VDCCs, respectively.
Footnotes
J.G.G.B. was supported by a Training and Mobility of Researchers fellowship. We thank M. Kaiser for technical assistance, N. Burnashev for critical comments on this manuscript, and L. P. Wollmuth for helpful discussions.
Correspondence should be addressed to Dr. Bert Sakmann, Abteilung Zellphysiologie, Max-Planck-Institut für medizinische Forschung, Jahnstrasse 29, D-69120 Heidelberg, Germany.
Dr. Helmchen’s present address: Biological Computation Research Department, Bell Laboratories, Lucent Technologies, 600 Mountain Avenue, Murray Hill, NJ 07974.
REFERENCES
- 1.Banks MI, Smith PH. Intracellular recordings from neurobiotin-labeled cells in brain slices of the rat medial nucleus of the trapezoid body. J Neurosci. 1992;12:2819–2837. doi: 10.1523/JNEUROSCI.12-07-02819.1992. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 2.Barnes-Davies M, Forsythe ID. Pre- and postsynaptic glutamate receptors at a giant excitatory synapse in rat auditory brainstem slices. J Physiol (Lond) 1995;488:387–406. doi: 10.1113/jphysiol.1995.sp020974. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 3.Bito H, Deisseroth K, Tsien RW. Ca2+-dependent regulation in neuronal gene expression. Curr Opin Neurobiol. 1997;7:419–429. doi: 10.1016/s0959-4388(97)80072-4. [DOI] [PubMed] [Google Scholar]
- 4.Bliss TVP, Collingridge GL. A synaptic model of memory: long-term potentiation in the hippocampus. Nature. 1993;361:31–39. doi: 10.1038/361031a0. [DOI] [PubMed] [Google Scholar]
- 5.Borst JGG, Sakmann B. Calcium influx and transmitter release in a fast CNS synapse. Nature. 1996;383:431–434. doi: 10.1038/383431a0. [DOI] [PubMed] [Google Scholar]
- 6.Borst JGG, Helmchen F, Sakmann B. Pre- and postsynaptic whole-cell recordings in the medial nucleus of the trapezoid body of the rat. J Physiol (Lond) 1995;489:825–840. doi: 10.1113/jphysiol.1995.sp021095. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 7.Burnashev N. Calcium permeability of glutamate-gated channels in the central nervous system. Curr Opin Neurobiol. 1996;6:311–317. doi: 10.1016/s0959-4388(96)80113-9. [DOI] [PubMed] [Google Scholar]
- 8.Burnashev N, Zhou Z, Neher E, Sakmann B. Fractional calcium currents through recombinant GluR channels of the NMDA, AMPA and kainate receptor subtypes. J Physiol (Lond) 1995;485:403–418. doi: 10.1113/jphysiol.1995.sp020738. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 9.Denk W, Yuste R, Svoboda K, Tank DW. Imaging calcium dynamics in dendritic spines. Curr Opin Neurobiol. 1996;6:372–378. doi: 10.1016/s0959-4388(96)80122-x. [DOI] [PubMed] [Google Scholar]
- 10.Eilers J, Konnerth A. Dendritic signal integration. Curr Opin Neurobiol. 1997;7:385–390. doi: 10.1016/s0959-4388(97)80067-0. [DOI] [PubMed] [Google Scholar]
- 11.Forsythe ID, Barnes-Davies M. The binaural auditory pathway: excitatory amino acid receptors mediate dual timecourse excitatory postsynaptic currents in the rat medial nucleus of the trapezoid body. Proc R Soc Lond B Biol Sci. 1993;251:151–157. doi: 10.1098/rspb.1993.0022. [DOI] [PubMed] [Google Scholar]
- 12.Gallin WJ, Greenberg ME. Calcium regulation of gene expression in neurons: the mode of entry matters. Curr Opin Neurobiol. 1995;5:367–374. doi: 10.1016/0959-4388(95)80050-6. [DOI] [PubMed] [Google Scholar]
- 13.Garaschuk O, Schneggenburger R, Schirra C, Tempia F, Konnerth A. Fractional Ca2+ currents through somatic and dendritic glutamate receptor channels of rat hippocampal CA1 pyramidal neurones. J Physiol (Lond) 1996;491:757–772. doi: 10.1113/jphysiol.1996.sp021255. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 14.Geiger JRP, Melcher T, Koh D-S, Sakmann B, Seeburg PH, Jonas P, Monyer H. Relative abundance of subunit mRNAs determines gating and Ca2+ permeability of AMPA receptors in principal neurons and interneurons in rat CNS. Neuron. 1995;15:193–204. doi: 10.1016/0896-6273(95)90076-4. [DOI] [PubMed] [Google Scholar]
- 15.Guinan JJ, Jr, Li RY-S. Signal processing in brainstem auditory neurons which receive giant endings (calyces of Held) in the medial nucleus of the trapezoid body of the cat. Hear Res. 1990;49:321–334. doi: 10.1016/0378-5955(90)90111-2. [DOI] [PubMed] [Google Scholar]
- 16.Helfert RH, Aschoff A. Superior olivary complex and nuclei of the lateral lemniscus. In: Ehret G, Romand R, editors. The central auditory system. Oxford UP; New York: 1997. pp. 193–258. [Google Scholar]
- 17.Helmchen F, Borst JGG, Sakmann B. Calcium dynamics associated with a single action potential in a CNS presynaptic terminal. Biophys J. 1997;72:1458–1471. doi: 10.1016/S0006-3495(97)78792-7. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 18.Herrington J, Bookman RJ. Pulse control version 4.0: IGOR XOPs for patch clamp data acquisition and capacitance measurements. University of Miami; Miami: 1994. [Google Scholar]
- 19.Jaffe DB, Johnston D, Lasser-Ross N, Lisman JE, Miyakawa H, Ross WN. The spread of Na+ spikes determines the pattern of dendritic Ca2+ entry into hippocampal neurons. Nature. 1992;357:244–246. doi: 10.1038/357244a0. [DOI] [PubMed] [Google Scholar]
- 20.Katz B. The release of neural transmitter substances: the Sherrington lectures. Thomas; Springfield, IL: 1969. [Google Scholar]
- 21.Kennedy MB. Regulation of neuronal function by calcium. Trends Neurosci. 1989;12:417–420. doi: 10.1016/0166-2236(89)90089-1. [DOI] [PubMed] [Google Scholar]
- 22.Koester HJ, Sakmann B. Calcium dynamics in single spines during coincident pre- and postsynaptic activity depend on relative timing of back-propagating action potentials and subthreshold excitatory postsynaptic potentials. Proc Natl Acad Sci USA. 1998;95:9596–9601. doi: 10.1073/pnas.95.16.9596. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 23.Koh D-S, Geiger JRP, Jonas P, Sakmann B. Ca2+-permeable AMPA and NMDA receptor channels in basket cells of rat hippocampal dentate gyrus. J Physiol (Lond) 1995a;485:383–402. doi: 10.1113/jphysiol.1995.sp020737. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 24.Koh D-S, Burnashev N, Jonas P. Block of native Ca2+-permeable AMPA receptors in rat brain by intracellular polyamines generates double rectification. J Physiol (Lond) 1995b;486:305–312. doi: 10.1113/jphysiol.1995.sp020813. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 25.Kyrozis A, Goldstein PA, Heath MJS, MacDermott AB. Calcium entry through a subpopulation of AMPA receptors desensitized neighbouring NMDA receptors in rat dorsal horn neurons. J Physiol (Lond) 1995;485:373–381. doi: 10.1113/jphysiol.1995.sp020736. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 26.Legendre P, Rosenmund C, Westbrook GL. Inactivation of NMDA channels in cultured hippocampal neurons by intracellular calcium. J Neurosci. 1993;13:674–684. doi: 10.1523/JNEUROSCI.13-02-00674.1993. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 27.Magee JC, Christofi G, Miyakawa H, Christie B, Lasser-Ross N, Johnston D. Subthreshold synaptic activation of voltage-gated Ca2+ channels mediates a localized Ca2+ influx into the dendrites of hippocampal pyramidal neurons. J Neurophysiol. 1995;74:1335–1342. doi: 10.1152/jn.1995.74.3.1335. [DOI] [PubMed] [Google Scholar]
- 28.Magistretti J, Mantegazza M, Guatteo E, Wanke E. Action potentials recorded with patch clamp amplifiers: are they genuine? Trends Neurosci. 1996;19:530–534. doi: 10.1016/s0166-2236(96)40004-2. [DOI] [PubMed] [Google Scholar]
- 29.Markram H, Sakmann B. Calcium transients in dendrites of neocortical neurons evoked by single subthreshold excitatory postsynaptic potentials via low-voltage-activated calcium channels. Proc Natl Acad Sci USA. 1994;91:5207–5211. doi: 10.1073/pnas.91.11.5207. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 30.Miyakawa H, Ross WN, Jaffe D, Callaway JC, Lasser-Ross N, Lisman JE, Johnston D. Synaptically activated increases in Ca2+ concentration in hippocampal CA1 pyramidal cells are primarily due to voltage-gated Ca2+ channels. Neuron. 1992;9:1163–1173. doi: 10.1016/0896-6273(92)90074-n. [DOI] [PubMed] [Google Scholar]
- 31.Neher E. The use of fura-2 for estimating Ca buffers and Ca fluxes. Neuropharmacology. 1995;34:1423–1442. doi: 10.1016/0028-3908(95)00144-u. [DOI] [PubMed] [Google Scholar]
- 32.Neher E, Augustine GJ. Calcium gradients and buffers in bovine chromaffin cells. J Physiol (Lond) 1992;450:273–301. doi: 10.1113/jphysiol.1992.sp019127. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 33.Otis TS, Wu Y-C, Trussell LO. Delayed clearance of transmitter and the role of glutamate transporters at synapses with multiple release sites. J Neurosci. 1996;16:1634–1644. doi: 10.1523/JNEUROSCI.16-05-01634.1996. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 34.Otis TS, Kavanaugh MP, Jahr CE. Postsynaptic glutamate transport at the climbing fiber–Purkinje cell synapse. Science. 1997;277:1515–1518. doi: 10.1126/science.277.5331.1515. [DOI] [PubMed] [Google Scholar]
- 35.Reyes AD, Rubel EW, Spain WJ. In vitro analysis of optimal stimuli for phase-locking and time-delayed modulation of firing in avian nucleus laminaris neurons. J Neurosci. 1996;16:993–1007. doi: 10.1523/JNEUROSCI.16-03-00993.1996. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 36.Robinson HPC, Kawai N. Injection of digitally synthesized synaptic conductance transients to measure the integrative properties of neurons. J Neurosci Methods. 1993;49:157–165. doi: 10.1016/0165-0270(93)90119-c. [DOI] [PubMed] [Google Scholar]
- 37.Schiller J, Schiller Y, Clapham DE. NMDA receptors amplify calcium influx into dendritic spines during associative pre- and postsynaptic activation. Nature Neurosci. 1998;1:114–118. doi: 10.1038/363. [DOI] [PubMed] [Google Scholar]
- 38.Schneggenburger R. Simultaneous measurement of Ca2+ influx and reversal potentials in recombinant N-methyl-d-aspartate receptor channels. Biophys J. 1996;70:2165–2174. doi: 10.1016/S0006-3495(96)79782-5. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 39.Schneggenburger R, Zhou Z, Konnerth A, Neher E. Fractional contribution of calcium to the cation current through glutamate receptor channels. Neuron. 1993;11:133–143. doi: 10.1016/0896-6273(93)90277-x. [DOI] [PubMed] [Google Scholar]
- 40.Sharp AA, O’Neil MB, Abbott LF, Marder E. The dynamic clamp: artificial conductances in biological neurons. Trends Neurosci. 1993;16:389–394. doi: 10.1016/0166-2236(93)90004-6. [DOI] [PubMed] [Google Scholar]
- 41.Spruston N, Jonas P, Sakmann B. Dendritic glutamate receptor channels in rat hippocampal CA3 and CA1 pyramidal neurons. J Physiol (Lond) 1995;482:325–352. doi: 10.1113/jphysiol.1995.sp020521. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 42.Swartz KJ, Bean BP. Inhibition of calcium channels in rat CA3 pyramidal neurons by a metabotropic glutamate receptor. J Neurosci. 1992;12:4358–4371. doi: 10.1523/JNEUROSCI.12-11-04358.1992. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 43.Vyklicky L., Jr Calcium-mediated modulation of N-methyl-d-aspartate (NMDA) responses in cultured rat hippocampal neurones. J Physiol (Lond) 1993;470:575–600. doi: 10.1113/jphysiol.1993.sp019876. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 44.Wilcox KS, Fitzsimonds RM, Johnson B, Dichter MA. Glycine regulation of synaptic NMDA receptors in hippocampal neurons. J Neurophysiol. 1996;76:3415–3424. doi: 10.1152/jn.1996.76.5.3415. [DOI] [PubMed] [Google Scholar]
- 45.Woodhull AM. Ionic blockage of sodium channels in nerve. J Gen Physiol. 1973;61:687–708. doi: 10.1085/jgp.61.6.687. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 46.Wu L-G, Borst JGG, Sakmann B. R-type Ca2+ currents evoke transmitter release at a rat central synapse. Proc Natl Acad Sci USA. 1998;95:4720–4725. doi: 10.1073/pnas.95.8.4720. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 47.Yuste R, Denk W. Dendritic spines as basic functional units of neuronal integration. Nature. 1995;375:682–684. doi: 10.1038/375682a0. [DOI] [PubMed] [Google Scholar]
- 48.Zucker RS. Calcium and short-term synaptic plasticity. Neth J Zool. 1994;44:495–512. [Google Scholar]