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Synaptic transmission between hippocampal mossy fibers (MFs) and CA3 pyramidal cells exhibits remarkable use-dependent plasticity. The underlying presynaptic mechanisms, however, remain poorly understood. Here we have used fluorescent Ca2+ indicators Fluo-4, Fluo-5F and Oregon Green BAPTA-1 to investigate Ca2+ dynamics in individual giant MF boutons (MFBs) in area CA3 traced from the somata of granule cells held in whole-cell mode. In an individual MFB, a single action potential induces a brief peak of free Ca2+ (estimated in the range of 8-9 μM) followed by an elevation to ~320 nM which slowly decays to its resting level of ~110 nM. Changes in the somatic membrane potential influence presynaptic Ca2+ entry at proximal MFBs in the hilus. This influence decays with distance along the axon, with a length constant of approximately 200 μm. In giant MFBs in CA3, progressive saturation of endogenous Ca2+ buffers during repetitive spiking amplifies rapid Ca2+ peaks and the residual Ca2+ several-fold, suggesting a causal link to synaptic facilitation. We find that internal Ca2+ stores contribute to maintaining the low resting Ca2+ providing ~22% of the buffering/extrusion capacity of giant MFBs. Rapid Ca2+ release from stores represents up to 20% of the presynaptic Ca2+ transient evoked by a brief train of action potentials. The results identify the main components of presynaptic Ca2+ dynamics at this important cortical synapse.
Mechanisms of Ca2+-dependent neurotransmitter release are central to understanding synaptic function. Studies in giant calyceal terminals in the brain stem have provided critical insights into the underlying molecular machinery (Schneggenburger et al., 2002; von Gersdorff and Borst, 2002; Meinrenken et al., 2003). Similar advances with regard to cortical synapses have been made possible in large part by single-synapse imaging in the neocortex (Koester and Sakmann, 2000; Koester and Johnston, 2005) and whole-terminal recordings from giant mossy fiber (MF) boutons (MFBs) in the hippocampus (Geiger and Jonas, 2000; Engel and Jonas, 2005). Synapses formed by giant MFBs on CA3 pyramidal cells have also been intensely studied because they exhibit unusual short-term facilitation (Griffith, 1990) and an NMDA receptor-independent form of LTP (Zalutsky and Nicoll, 1990).
Several candidate mechanisms of short-term facilitation at these synapses have been proposed. Recordings from giant MFBs show that action potentials (APs) broaden during repetitive spiking, thus boosting presynaptic Ca2+ influx (Geiger and Jonas, 2000; Bischofberger et al., 2002). However, at moderate frequencies (10-30 Hz) this enhancement, in terms of either Ca2+ current amplitude or transferred charge, amounts only to <10% during the first 10 spikes (Geiger and Jonas, 2000). A 10% Increase in presynaptic Ca2+ entry is expected to augment postsynaptic responses in CA3 pyramidal cells less than to the second power (Geiger and Jonas, 2000; Blatow et al., 2003; Mori-Kawakami et al., 2003), or by <21% . AP broadening alone thus cannot fully account for the profound synaptic facilitation routinely observed at similar frequencies.
Another candidate mechanism involves progressive saturation of endogenous Ca2+ buffers (Rozov et al., 2001). In young rodents, increasing the MF buffering capacity with Ca2+ chelators EGTA (high concentration) or BAPTA reduces short-term facilitation or paired-pulse ratios of postsynaptic responses (Regehr et al., 1994; Blatow et al., 2003; Mori-Kawakami et al., 2003). However, the effect is small in mature animals (Mori-Kawakami et al., 2003) and the residual presynaptic Ca2+ facilitates faster than do synaptic responses (Regehr et al., 1994). Furthermore, single-cell measurements of the main MF endogenous Ca2+ buffer calbindin-28K suggest that buffer saturation cannot explain strong facilitation of presynaptic Ca2+ (Muller et al., 2005).
An additional mechanism of short-term enhancement relies on presynaptic kainate receptors (Contractor et al., 2001; Lauri et al., 2001; Schmitz et al., 2001; Kamiya et al., 2002), which have been implicated in triggering Ca2+-induced Ca2+ release from Ca2+ stores (Liang et al., 2002; Lauri et al., 2003). However, AP-driven Ca2+ responses recorded in multiple MFs appear insensitive to Ca2+ store blockade (Carter et al., 2002; Breustedt and Schmitz, 2004).
In summary, the machinery of presynaptic Ca2+ signaling at MF synapses remains poorly understood. Because optical recordings from tissue-loaded MFs do not report resting Ca2+ levels and may incorporate signals from unidentified cellular structures, testing at the level of single synapses is preferable (Jackson and Redman, 2003; Ruiz et al., 2003). In addition, integrity of the presynaptic cell is important for quantitative evaluation of presynaptic Ca2+ signalling. Here we combine two-photon microscopy with an improved slicing method, electrophysiology and kinetic modeling to evaluate the role of somatic voltage, Ca2+ buffering and Ca2+ stores in shaping Ca2+ dynamics in giant MFBs in area CA3 supplied by axons of intact granule cells.
Acute 300 μm hippocampal slices from three- to four-week old male Sprague-Dawly rats were transferred to a recording submersion-type chamber (Scientific Systems Design, NJ), superfused with (mM): 124 NaCl, 2 KCl, 2 CaCl2, 1 MgCl2, 26 NaHCO3, 10 glucose and bubbled with 95:5 of O2/CO2. The slice cutting (close to the parasagittal plane) is detailed in the Results. Internal solution included (mM): 150 K methanesulfonate, 5 KCl, 10 HEPES, 3 MgATP2, 0.4 GTP, also including fluorophores as indicated. Unless specified otherwise, granule cells were held at -80 mV. Orthodromic action potentials or escape currents recorded in, respectively, current or voltage clamp mode, were evoked by 2 ms command voltage pulses (single, five or 50, at 20 Hz, as indicated). Alternatively, 100 μs electrical stimuli were applied to stratum lucidum with a bipolar electrode. Recording sweeps (normally 500 ms long) were collected at a 5 kHz rate in 30 s or 1 min intervals using LabView (National Instruments). Routinely, experiments were carried out in the presence of 5 μM CGP, 50 μM APV and 100 μM picrotoxin at room temperature. Receptor antagonists were purchased from Tocris Cookson, and fluorescent probes were purchased from Invitrogen-Molecular Probes. All animal handling procedures followed current UK regulations.
Imaging experiments were carried out using a multi-photon installation comprising a Radiance 2000 imaging system (Zeiss-BioRad) optically linked to a femtosecond laser MaiTai (SpectraPhysics) and integrated with a single-cell electrophysiology set-up (Rusakov and Fine, 2003). Granule cells were held in whole-cell mode and loaded with two fluorophores, a morphological tracer Alexa Fluor 594 (20 μM) and a Ca2+ indicator (Fluo-4, Fluo-5F or Oregon Green BAPTA-1, as specified). In granule cells with intact axons (see Results and Supplemental Fig. 1), 15-20 min were initially allowed for indicator equilibration before switching the system into fluorescence mode to trace the axon into stratum lucidum. Fluorophores were excited in two-photon mode at 810 nm, with the laser power optimized for emission detection at different depths in the slice.
The axon was followed from the soma into stratum lucidum using frame mode scanning (256 × 256 pixels, 500 Hz; the number of taken frames was kept small to minimize phototoxic damage) and the system was focused on a giant MFB identified by its distinct morphology, at the maximum optical resolution (~0.2 μm, digital capture 70 nm per pixel). Recording started when the baseline fluorescence in both channels was stable (approximately one hour later; see Results and Supplemental Fig. 2); the experiment lasted for up to 3-4 hours and dye equilibration was routinely controlled post-hoc, by comparing the resting fluorescence of Alexa Fluor 594 in the end of the experiment with that recorded 1-1.5 hours earlier. We conducted two additional tests to verify that Ca2+ indicators are equilibrated along the axon and are not extruded from the cells appreciably with time. In the first test, we carefully pulled out the patch pipette following initial dye equilibration. The seal was confirmed by the fact that we obtained outside-out patches as a result and that cell could respond to extracellular stimulation by generating action potential dependent Ca2+ transients. The subsequent recordings indicated no detectable loss of the resting fluorescence F over 100-200 min (Supplemental Fig. 3). In the second test, we measured the baseline fluorescence in the axonal regions at different distances from the soma and found no spatial gradient (Supplemental Fig. 4). The results of both tests argued against any significant loss of fluorescence indicators from the axon.
Fluorescence responses were recorded in line-scan mode at 500 Hz (500 or 1000 ms sweeps, inter-sweep interval 30 s or 1 min) and stored for off-line analysis. The Ca2+-dependent fluorescence response ΔF/F (integrated over the visible MFB width) was routinely calculated as (Fpost-Fpre)/(Fpre-F0). The values of Fpre and Fpost stand for the line scan fluorescence averaged over, respectively, 100 ms prior to the first spike and either 50 ms in the case of single-response amplitude measurements or 250 ms in the case of five-response amplitude measurements (20 Hz train of five APs) after the first spike onset. F0 denotes the background fluorescence measured outside any cell structures filled with the indicator. Because special care was taken to avoid escape of the indicator from the pipette and because the site of imaging was hundreds of microns away from the pipette tip, F0 was likely to represent the photomultiplier tube dark current. Image analyses were performed on stacks of stored line-scan images using a set of custom NIH Image macros. False color tables and averaged images were used for illustration purposes but the original (gray level) pixel brightness values in each line-scan image were used for the quantitative analysis. In most experiments, we reconstructed the axon trajectory using a collage of high-resolution Kalman-filtered z-stacks 15-20 μm deep. In total, we obtained full reconstruction of 43 axons, with an average distance between the recorded MFB and the soma of 686 ± 38 μm. Throughout the experiments, we observed no failures of spike-driven Ca2+ signals propagating along the main axonal trunk including giant MFBs. This, however, does not rule the possibility that propagation could fail at higher spiking frequencies and/or in thin axon collaterals.
The two-photon excitation probability profile is proportional to the squared illumination light intensity (Zipfel and Webb, 2001):
where the canonical co-ordinates and v = ksin(α)r represent the axial distance z, radial distance r, the objective’s numerical aperture NA = sin(α) = 0.9 and wave number (n = 1.33 is the medium refraction index and λ = 810 nm is the wavelength); J0 denotes zero-order Bessel’s function of the first kind. This theoretical function, however, represents the lower limit estimate of the excitation profile: in reality, optical aberrations and imperfect alignment of the experimental optical system are likely to increase the spread of excitation. Similar considerations apply to the emission path. We therefore obtained an estimate of the excitation-emission profile by recording the point-spread function (PSF) of the system using 0.17 μm fluorescent beads (PS-Speck Microscope Point Source Kit, Invitrogen) as illustrated below.
Classically, the resting Ca2+ level [Ca2+]rest can be estimated from the relationship:
where Kd is the Ca2+ indicator dissociation constant, and Fmax, F and Fmin represent maximum, resting and Ca2+-independent fluorescence of the indicator.
However, the high dynamic range of Ca2+ indicators such as Fluo-4 implies that the resting fluorescence F could be comparable with the system’s detection threshold. In this case, the useful fluorescence signal could blend with the background noise in a non-linear fashion, which makes it difficult to obtain reliable ratios ΔF/F or Fmax/F. This difficulty could be addressed by relating ΔF to the Ca2+-independent fluorescence R recorded in the ‘red’ (e.g., Alexa) channel (Oertner et al., 2002). We have modified this approach by diverting part of the Alexa Fluor 594 emission signal into the ‘green’, Fluo-4 channel using a 560 nm dichroic mirror and a 700 nm short-pass filter. The use of the cross-talk Alexa Fluor 594 signal, denoted here Rct, was advantageous because this (i) elevated emission in the Fluo-4 channel well above the system’s detection threshold (see above) and (ii) allowed both the Ca2+-dependent signal ΔF and Rct to be recorded through the same channel. (This method, however, is unlikely to be advantageous when the useful resting green fluorescence is substantially above the background noise.) The average ratio Rct/R was measured in separate experiments, by comparing emission in the two corresponding channels while imaging giant MFBs loaded with Alexa Fluor 594 only (see Results). In these terms, the recorded resting and maximum fluorescence (F and Fmax, respectively) will include a Ca2+-indepedent fluorescence fraction Rbt + Fmin.
Equation 2 can be therefore recast as
In the case of the high dynamic range indicator Fluo-4, Fmin/Fmax ≈ 0 (Maravall et al., 2000; Oertner et al., 2002) implying that estimation of [Ca2+]rest simply requires experimental measurements of Rct and R, according to Equation 3. In the case of the lower dynamic range indicator Oregon Green BAPTA-1 (OGB-1, Kd ≈ 200 nM), this equation also includes the known value of Fmax/Fmin ≈ 6 (Maravall et al., 2000; Oertner et al., 2002; Jackson and Redman, 2003).
To translate the recorded fluorescence into the underlying Ca2+ kinetics, we used a single-compartment, multi-component kinetic model (Helmchen et al., 1997; Neher, 1998; Jackson and Redman, 2003), in its non-stationary form which requires no steady-state approximations (Sabatini and Regehr, 1998; Rusakov et al., 2005). Multi-compartmental modeling was deemed unfeasible in the present study because (a) the Ca2+ fluorescence time course was indistinguishable between sub-regions inside a single bouton (the system’s PSF was too large to distinguish between such sub-regions, see Fig. 4 below) and (b) Ca2+ exchange between multiple space partitions has little effect on the volume-average Ca2+ concentration transient (Sabatini and Regehr, 1998). Parameters of the model were constrained and cross-validated by (i) an independent estimate of [Ca2+]rest (see above), (ii) an independent estimate of the endogenous buffer (Calbindin-28K) concentration (Jackson and Redman, 2003; Muller et al., 2005), and (iii) comparing the effects of different configurations of Ca2+ indicators / buffers on the recorded fluorescence signal versus the predicted kinetics.
The finite-difference kinetic scheme explicitly included the rate of Ca2+ entry jCa, the binding-unbinding reactions with the endogenous buffer (Calbindin-28K) B and Ca2+ indicator I, and the Ca2+ removal rate P, according to the equation:
where brackets denote concentrations, CaI and CaB stand for, respectively, the Ca-bound indicator and buffer, and the kinetic constants (upper indices denote buffer B or indicator I; lower indices indicate on and off constants) are summarized in the Table. The mass conservation rules are:
in line with experimental observations (Meinrenken et al., 2003), with the MFB spike half-width σ ≈ 0.5 ms (Bischofberger et al., 2002), onset at t0 and the time-integral of Δ[Ca2+]tot reflecting total Ca2+ entry. Removal of Ca2+, which is a complex process involving diffusion, pumping out and/or sequestration was approximated by a first-order reaction (Jackson and Redman, 2003) (however, see (Matveev et al., 2004; Holcman et al., 2005) for discussion) at the rate P (Equation 4). The model, therefore, operated with only two adjustable (free) parameters: Δ[Ca2+]tot and P. However, varying either Δ[Ca2+]tot or P had virtually independent effects on, respectively, the calculated amplitude (ΔF/F) and decay of fluorescent responses (see Results and Supplemental Fig. 5). Each of the two parameters could be therefore constrained by a straightforward fitting procedure that would match the calculated and the experimental fluorescence, as discussed earlier (Rusakov et al., 2005).
Gradual washout of endogenous buffers in whole-cell mode could alter presynaptic Ca2+ dynamics in the recorded cell (Rozov et al., 2001; Blatow et al., 2003). An earlier study has estimated that washout of the endogenous Ca2+ buffer calbindin-28K from the granule cell soma occurs with a time constant of ~9.7 min (Muller et al., 2005). To asses its washout rate at different regions of the axon, we used a multi-compartmental diffusion model based on a detailed quantitative study of granule cell morphology (Claiborne et al., 1990). The modelled cell included the 19 μm long / 10 μm wide elliptical soma and a 2000 μm long / 0.4 μm thick axon. The average dendritic tree of granule cells (two primary dendrites, each ~2.5 μm in diameter, giving rise to an arbour spreading over approximately 300 μm with the total dendritic length of 3221 μm, see Claiborne et al., 1990) was represented by a single 300 μm long trunk of the matching cross-section (9.6 μm2) and total volume (2900 μm3). The patch pipette (tip diameter 1.8 μm) provided a concentration clamp source linked to a somatic compartment. The initial calbindin concentration was 160 μM, and at t = 0 the concentration clamp was imposed through the pipette. Diffusion simulations were carried out with the compartment size of 5 μm (464 compartments in total) using numerical algorithms described earlier (Scimemi et al., 2004). The single unknown parameter, the effective diffusivity of calbindin was adjusted to obtain the best fit between the experimental data on somatic washout (Muller et al., 2005) and the computed calbindin concentration time course in the soma (Supplemental Fig. 6). Under these conditions, washout of calbindin from the axonal regions where giant MFBs occur (the average distance from the soma 686 ± 38 μm, n = 43 fully reconstructed axons) is predicted in the range of <5% within 2-3 hours post break-in (Supplemental Fig. 6). This is consistent with the stable amplitude of recorded ΔF/F during that period (Supplemental Fig. 2).
Average data are shown as mean ± SEM; a t-test was used for statistics.
Obtaining connected granule cell - CA3 pyramidal cell pairs has been difficult in acute slices because of the intrinsically low probability of finding such connections through random sampling (Amaral et al., 1990). In addition, granule cell somata occur 200-300 μm outside the main MF projection plane (Tamamaki and Nojyo, 1991; Acsady et al., 1998) (Fig. 1A) and therefore are likely to be cut off during preparation of slices that preserve MFs in the stratum lucidum. To reduce the chances of cutting granule cell axons close to the soma, hippocampal slices were sectioned at an angle (close to the parasaggital direction) to the plane of the main MF projections (Fig. 1A,B). We then loaded granule cells, in whole-cell mode, with two fluorescence indicators (see Materials and Methods) and monitored action potentials (APs) evoked antidromically in the soma by extracellular stimulation of stratum lucidum. Although virtually all monitored cells generated APs, only a small proportion (<10%) showed an AP latency exceeding 3-4 ms in response to the minimum strength stimuli sufficient to generate an AP (Fig. 1C). Upon subsequent visual inspection in a microscope, only these cells projected their axon into area CA3 (Fig. 1D; Alexa Fluor 594 channel); the axons of cells with a short AP latency were truncated at <200 μm from the soma. These observations suggested a simple electrophysiological test to facilitate selection of cells with long axons prior to imaging. In the microscope, giant MFBs were identified in area CA3, >300 μm from the soma, by their distinctive large size (5-8 μm) and thin filopodial protrusions (Fig. 1D,E, image panels; Supplemental Fig. 1).
We used 2 ms somatic depolarizing command voltage pulses to evoke orthodromic APs. These were rapidly followed by fluorescence transients in giant MFBs (Fig. 1F,G). After a period of equilibration lasting one hour or more depending on the distance from the soma, both Ca2+-dependent and Ca2+-independent fluorescence in giant MFBs remained stable for several hours (Supplemental Fig. 2). In contrast, proximal MF boutons tended to increase their baseline fluorescence, as well as their evoked Ca2+ responses, by the end of 30-40 min recording sessions in similar conditions (Ruiz et al., 2003); this is consistent with partial washout of endogenous buffers at short distances from the soma (Blatow et al., 2003; Muller et al., 2005), as discussed in the Materials and Methods (also Supplemental Fig. 6).
Neither the amplitude nor the decay time of the AP-evoked fluorescence transients varied systematically with the distance from the soma in n = 43 giant MFBs with fully reconstructed axons (Fig. 2A,B). In approximately one third of all experiments, we compared Ca2+ responses evoked under voltage clamp (Vh = -80 mV) or current clamp (current adjusted to correspond to Vm = -80 mV). Because no consistent differences were found, the data from these experiments were pooled.
We have previously shown (Ruiz et al., 2003) that varying the somatic holding voltage modulates the AP-evoked presynaptic Ca2+ transient up to 40% in MF axonal boutons in the hilus (Fig. 2C). We found, however, that Ca2+ signals at giant MFBs were unaffected by changing the holding voltage (Fig. 2D; n = 8). To determine the extent of the somatic electrotonic influence in our conditions, we repeated these experiments in proximal axonal boutons (Fig. 2C). Changing the somatic voltage between -110 and -60 mV resulted in a Ca2+ signal variation, cast in relative terms as varv(ΔF/F) = (Max ΔF/F - Min ΔF/F) / Max ΔF/F (see Fig. 2D), of 19 ± 3% (n = 11; Fig. 2E). Surprisingly, this influence was only half of that detected in the earlier study where varv(ΔF/F) was ~40% (Ruiz et al., 2003).
This discrepancy, however, has a simple explanation: the earlier study dealt with axons cut, on average, at 100-150 μm from the soma whereas the present experiments were performed on cells with intact axons. According to cable theory, cutting and sealing the axon increases its electrotonic space constant, thus facilitating remote voltage control. (Although open-ended axons would have a different effect on the length constant, they are unlikely to be compatible with cell survival; in addition, sealed axonal ends, with no detectable escape of fluorescence, were routinely observed in a microscope and the intracellular level of Alexa Fluor 594 was unchanged throughout the experiment, see Supplemental Fig. 2.) Indeed, when we recorded from proximal boutons in cells that had their axons cut off 100-150 μm from the soma (n = 7), the values of varv(ΔF/F) were indistinguishable from the previous results (Ruiz et al., 2003); combining the current and previous data in the cut axons gave an average varv(ΔF/F) of 39 ± 8% (n = 22; Fig. 2E).
We used the observed two-fold difference in varv(ΔF/F) between cut and uncut axons to estimate the electrotonic space constant of the axon. In an equivalent cable approximation, the steady-state voltage V at a distance x from a point clamped at V0 is given by the relationship (see (Jackson, 1992) for discussion):
where X and L represent, respectively, distance x and the axon length l cast in terms of the space constant λ: X = x/λ and L = l/λ (Fig. 2F). This relationship predicts that, to reduce the extent of somatic voltage control approximately two-fold, one has to cut the long axon at L ~ 0.7λ (Fig. 2F, arrows). Because the actual MF axons were cut at L ≈ 100-150 μm in these experiments, the estimated MF axon space constant was λ = L / 0.7 = 150-200 μm. This value is consistent with electrotonic isolation of Ca2+ transients in the giant MFBs (Fig. 2D) also indicating that MF synapses in the hilus could be affected by the granule cell resting somatic voltage.
To estimate [Ca2+]rest from Equation 3, we first measured the cross-talk fraction of Alexa Fluor 594 fluorescence in the Fluo-4 (Ca2+ signal) emission channel, Rct/R. Granule cells were loaded with 20 μM Alexa Fluor 594 and MFBs were imaged in both channels (Fig. 3A,B). Comparing direct versus cross-talk signals of Alexa Fluor 594 indicated an average Rct/R ratio of 0.035 ± 0.002 (n = 24; Fig. 3C). We then loaded cells with 200 μM Fluo-4 (in addition to 20 μM Alexa) and, after indicator equilibration (Supplemental Fig. 2), recorded Ca2+ fluorescence in giant MFBs in response to 50 APs at 20 Hz (Fig. 3D). The resulting fluorescence plateau (Fig. 3D) suggested that the indicator was close to saturation (Jackson and Redman, 2003; Rusakov et al., 2005). To confirm that this is indeed the case, we compared 20 Hz and 50 Hz trains of APs in seven giant MFBs and found no significant difference in the maximum fluorescence signal Fmax (difference 7 ± 5%, n = 7); similar experiments with a lower-affinity indicator Fluo-5F (Kd ~ 1 μM, trains of 75-150 APs) gave a qualitatively identical result (difference: 5 ± 3%, n = 7; Fig. 3E; Supplemental Fig. 7). The saturating trains of APs in Fluo-4 therefore gave average Fmax/F and R/F ratios for Fluo-4 of 2.63 ± 0.31 and 6.8 ± 1.2, respectively (n = 14). The estimates of [Ca2+]rest in each individual giant MFB were obtained by substituting individual Fmax/F and R/F values in Equation 3; this gave an average [Ca2+]rest of 116 ± 20 nM (n = 14; Fig. 3F).
An alternative estimate of [Ca2+]rest was obtained using another high-affinity Ca2+ indicator, Oregon Green BAPTA-1 (200 μM, Kd = 205 nM) for which Fmax/Fmin ~ 6 (Maravall et al., 2000; Jackson and Redman, 2003). With a similar protocol, these experiments gave an average Fmax/F ratio of 2.15 ± 0.14, predicting [Ca2+]rest at 103 ± 14 nM (n = 8; Fig. 3F). This was in good correspondence with the estimate based on Fluo-4.
To quantify the kinetics of presynaptic Ca2+ transients triggered by APs, we routinely evoked five spikes at 20 Hz, a firing pattern compatible with that of individual granule cells in vivo (Henze et al., 2002). The fluorescence response was analyzed using a single-compartment model of Ca2+ dynamics: this approach was relevant because the characteristic point-spread function of the imaging system was comparable with or larger than the characteristic cross-section of giant MFBs (see Fig. 4A-C and Materials and Methods). To account for the non-stationary kinetics during and shortly after rapid Ca2+ entry, we simulated the binding-unbinding reactions using an explicit finite-difference scheme (Sabatini and Regehr, 1998; Matveev et al., 2004; Rusakov et al., 2005).
The model included several independently estimated quantities: (i) [Ca2+]rest ≈ 110 nM, (ii) a direct measure of the main endogenous buffer (calbindin-28K) concentration [B]tot = 160 μM (Muller et al., 2005), which is in line with an estimate derived from Ca2+ imaging (Jackson and Redman, 2003), (iii) the Ca2+ entry half-duration ~0.5 ms (Bischofberger et al., 2002), and (iv) indicator concentration [I] clamped by the whole-cell pipette (see Supplementary Fig. 2). The remaining two free parameters were the total Ca2+ influx Δ[Ca2+]tot and the Ca2+ removal rate P. Adjusting these, however, had virtually independent effects on, respectively, the amplitude and the decay constant of the evoked Ca2+-sensitive fluorescence transient: changing Δ[Ca2+]tot two-fold produced a comparable change in the predicted ΔF/F amplitude but less than a 5% change in the decay constant; conversely, changing the Ca2+ removal constant P two-fold produced a comparable change in the predicted fluorescence but less than 5% alteration in the predicted fluorescence decay constant (Supplemental Fig. 5). In these conditions, fitting the computed fluorescence kinetics to the experimental F/F is relatively straightforward, as discussed earlier (Rusakov et al., 2005). To cross-validate the unknowns of Ca2+ dynamics under different buffer configurations, we conducted similar experiments at two different concentrations of Fluo-4 (200 μM and 50 μM) and also with a lower-affinity indicator Fluo-5F. In all three cases, optimization with the two parameters gave a very good fit, yielding consistent estimates of Δ[Ca2+]tot and P (Fig. 4D-F). This consistency further argues that the earlier estimates of the endogenous Ca2+ buffer concentration in the soma and proximal boutons (Jackson and Redman, 2003; Muller et al., 2005) are relevant for giant MFBs, as indeed expected from the long-term diffuse equilibration of soluble calbindin-28K. Taken together, the data thus predict Δ[Ca2+] tot = 51 ± 2 μM and an average Ca2+ removal rate P = 0.37 ± 0.03 ms-1.
According to morphological observations, the volume of giant MFBs is in the region of 20-50 μm3 (Chicurel and Harris, 1992; Acsady et al., 1998), or 2-5·10-14 litre. In electron micrographs, synaptic vesicles and mitochondria appear to occupy around 50% of the giant MFB profile (Fig. 4B,C); this is likely to scale down two-fold the volume available to Ca2+ ions. The ~50 μM step concentration increase (3·1019 ions per litre) would then correspond to 3-8·105 Ca2+ ions per bouton. This is in excellent agreement with electrophysiological observations showing that 3.7·105 Ca2+ ions flow into a patched giant MFB following an AP (Bischofberger et al., 2002). The estimated Ca2+ dynamics is also in correspondence with the unchanged Ca2+ entry during short 20 Hz AP trains (Geiger and Jonas, 2000). Taken together, these data provide quantitative insights into the presynaptic Ca2+ kinetics in the absence of exogenous buffering imposed by Ca2+ indicators (see Fig. 6 and Discussion below).
The role of presynaptic Ca2+ stores at MF synapses remains controversial (Carter et al., 2002; Liang et al., 2002; Lauri et al., 2003; Breustedt and Schmitz, 2004). To address this, we imaged giant MFBs loaded with either Fluo-4 or Fluo-5F (200 μM, Fig. 5A,B) and, once the Ca2+ responses were stable (Supplemental Fig. 2), applied either ryanodine (20-60 μM) or thapsigargin (1 μM). These blockers interfere with Ca2+ -induced ryanodine receptor-dependent Ca2+ release or with the endoplasmic reticulum Ca2+-ATPase (Ca2+- pump), respectively. Because Ca2+ stores might not respond to a single AP (Lauri et al., 2003), we routinely evoked five or more APs at 20 Hz and measured the integrated ΔF/F signal over a 500 ms window from the first response onset.
Although ryanodine and thapsigargin interfere with different mechanisms of internal Ca2+ storage, the longer-term consequence is thought to be the blockade / depletion of endoplasmic reticulum Ca2+ stores (Verkhratsky, 2005). Indeed, both ryanodine and thapsigargin produced a small yet significant increase in the resting fluorescence F (11 ± 3%, n = 8, p < 0.02; and 12 ± 3%, n = 5, p < 0.02, respectively) and a decrease in ΔF/F (18 ± 6%, n = 8, p < 0.02 and 8 ± 7%, n = 5, ns, respectively), recorded in experiments with the high-affinity Fluo-4 (Fig. 5D-F). In contrast, ryanodine application in experiments with the lower-affinity Fluo-5F produced only insignificant increases in F yet it decreased ΔF/F robustly (17 ± 4%, p < 0.004; integrated over six APs; Fig. 5G-I). In both cases, the significant changes exceeded at least three-fold the experimental fluctuations of F and ΔF/F documented in baseline conditions on a similar time scale (Supplemental Fig. 2B,C).
These results are consistent with an elevation in the resting Ca2+ concentration [Ca2+]rest: the higher affinity Fluo-4 is more sensitive than Fluo-5F to changes in [Ca2+]rest yet it saturates to a greater degree and therefore is less sensitive to changes in ΔF/F. According to Equation 3, in baseline conditions of Fluo-4 fluorescence, a ~12% increase in F corresponds to an increase in [Ca2+]rest of 40-50 nM. In the case of lower-affinity Fluo-5F, however, the same increase in [Ca2+]rest should produce a much smaller elevation of F, which is fully consistent with our observations. In line with the buffering role of Ca2+ stores, their blockade also slowed down the decay of the ΔF/F signal following five or more APs: by 21 ± 8% in Fluo-4 experiments (the apparent decay time constant changed from 730 ± 111 ms to 856 ± 110 ms; n = 10, p < 0.03) and by 34 + 12% in Fluo-5F experiments (time constant changed from 1106 ± 121 ms to 1533 ± 295 ms; n = 65, p < 0.004); the fluorescent decay in these multi-AP recordings was substantially slower than that following a single AP (Fig. 2), partly because of the indicator saturation.
In this study, we have evaluated the main determinants of Ca2+ signals generated in individual giant MFBs by electrical activity in a single granule cell. Somatic voltage, which affects Ca2+ responses in proximal axonal compartments, does not influence rapid Ca2+ transients in giant MFBs. We find that Ca2+ stores take part in maintaining the resting concentration of presynaptic Ca2+, a mechanism which has not previously been reported in cortical synapses. Rapid Ca2+ release from internal stores also contributes to Ca2+ transients in giant MFBs (this could be masked in multiple MF recordings, at least in part, if other MF compartments were insensitive to Ca2+ store blockade). The data provide a basis for deciphering the kinetics of free Ca2+ at giant MFBs, a key to presynaptic mechanisms of use-dependent plasticity at the MF - CA3 pyramidal cell synapse, as discussed below.
The regulatory role of presynaptic iontropic receptors in neurotransmitter release has attracted much interest (Engelman and MacDermott, 2004). However, to what extent presynaptic electrotonic influences spread along the terminal remains poorly understood. Although the granule cell somatic voltage affects Ca2+ kinetics at MF axonal boutons in the hilus (Ruiz et al., 2003), we detected no such influence at giant MFBs in CA3. This was consistent with the estimated electrotonic length constant for MFs, λ = 150-200 μm, also agreeing with the lack of somatic voltage control over MF excitability in stratum lucidum (Schmitz et al., 2000). However, very recent observations of presynaptic EPSCs in giant MFBs have proposed an MF electrotonic length constant of ~450 μm (Alle and Geiger, 2006). The most parsimonious explanation for the difference is that AP-evoked Ca2+ entry is not sensitive to small changes in the local membrane potential. Indeed, somatic voltage has no effect on Ca2+ currents in giant MFBs (Alle and Geiger, 2006). In any case, the value of suggests that the Ca2+ dependent release machinery acting at synapses between granule cells and interneurons or mossy cells in the hilus could be influenced by the resting somatic membrane voltage. Conversely, presynaptic ionotropic action could propagate between neighboring giant MFBs occurring 100-200 μm apart (Acsady et al., 1998).
At the calyx of Held, moderate presynaptic depolarization increases the resting Ca2+ concentration thus augmenting the release probability (Turecek and Trussell, 2001; Awatramani et al., 2005). The depolarization-induced elevation of resting Ca2+ was also reported in proximal MFBs (Ruiz et al., 2003). If similar phenomena occur locally in giant MFBs, an increase in the postsynaptic responses could follow (Alle and Geiger, 2006). This might reconcile the facilitatory effect of low kainate concentration on MF transmission (Schmitz et al., 2001) with the depolarizing action of kainate receptors. Furthermore, presynaptic depolarization could initiate AP broadening (Geiger and Jonas, 2000) thus boosting Ca2+ entry and the release probability further.
We have employed several Ca2+ indicator configurations to estimate and cross-validate Ca2+ kinetics at giant MFBs. While our experiments rely on fluorophores that directly interfere with Ca2+ buffering, the resulting kinetic model allows evaluation of the free Ca2+ kinetics in the absence of exogenous buffers (Fig. 6A). The data predict substantial use-dependent facilitation of both rapid Ca2+ transients and residual Ca2+ rises, with the latter extending beyond 500 ms post-pulse (Fig. 6A, gray line). However, the volume-integrated kinetics could under-represent concentration microdomains near Ca2+ entry sites, thus underestimating local buffer saturation and hence overestimating use-dependent facilitation of local free Ca2+ (Meinrenken et al., 2003). Nonetheless, even modest facilitation would increase the release probability substantially if neurotransmitter release at MFBs depended on Ca2+ in a highly supra-linear fashion, as reported in the calyx of Held (Schneggenburger and Neher, 2000). This is, however, not the case in giant MFBs: increasing presynaptic Ca2+ transient through either AP broadening, elevation in external Ca2+ or changed buffering conditions enhances MF - CA3 pyramidal cell transmission with the less than second power relationship (Regehr et al., 1994; Geiger and Jonas, 2000; Blatow et al., 2003; Mori-Kawakami et al., 2003). The question therefore arises whether the kinetics of free presynaptic Ca2+ evaluated here could explain short-term synaptic facilitation at these synapses.
To address this, we calculated use-dependent increases of residual [Ca2+] and rapid [Ca2+] transients (average [Ca2+] elevation over 4 ms during an AP) in giant MFBs and compared them with the average facilitation of EPSCs evoked in CA3 pyramidal cells by short trains of APs at 10 and 20 Hz (elicited by extracellular stimuli in dentate gyrus, Fig. 6B). The comparison suggests that, in conditions of our experiments, synaptic facilitation follows more closely rapid [Ca2+] transients than residual [Ca2+] rises (with an exception of the second pulse at 20 Hz). While these data suggest a causal link between facilitation of presynaptic Ca2+ signals and postsynaptic responses, it would be important to establish how the presynaptic Ca2+ kinetics reflects synaptic adaptation to different firing patterns (Zucker and Regehr, 2002).
We have found that blockade of internal Ca2+ stores in giant MFBs elevates resting Ca2+ by ~40%. Although this phenomenon has not previously been reported in cortical synapses, it is not surprising: the Ca2+ concentration inside endoplasmatic reticulum stores is critical for cytosolic Ca2+ homeostasis (Verkhratsky, 2005). Indeed, Ca2+ leakage from the stores is negatively coupled with Ca2+ uptake producing a kinetic equilibrium (Solovyova et al., 2002) which is likely to reflect the resting Ca2+ level. By taking Ca2+ stores out of the equilibrium, ryanodine blockade should reduce the Ca2+ removal capacity of giant MFBs, thus elevating resting Ca2+concentration. The present data allow us to evaluate this quantitatively.
Ca2+ removal depends largely on the two families of Ca2+ pumps, the plasma membrane Ca2+-ATPase and the sarco/endoplasmic reticulum Ca2+-ATPase; mitochondria and a low affinity Na+/Ca2+ exchanger also contribute to Ca2+ removal, albeit on a slower timescale (reviewed in (Parekh, 2003; Mata and Sepulveda, 2005; Verkhratsky, 2005)). Because pumps operate through binding and translocation, Ca2+ uptake kinetics could be generally represented by a two-stage reaction:
where P and denote pumps and intra-lumen Ca2+, respectively, CaP stands for the Ca-bound pump complex, and kon, koff and ku stand for the average rate constants of Ca2+ binding, unbinding and translocation (coupled with the re-appearance of available pumps P), respectively. Reactions (9) evoke simple kinetic equations:
with the mass conservation law
where brackets denote concentration, LCa is the rate of overall Ca2+ leakage into the cytosol and [P]tot is the total amount of available pumps. In the steady-state case (time derivatives zeroed), Equations 10 reflect equilibration between uptake and leakage:
The equilibrium corresponds to the resting Ca2+ level [Ca2+]rest evoking the relationship:
Direct monitoring of Ca2+ store uptake in dorsal root ganglion neurons and in pancreatic acinar cells has indicated that the maximum uptake rate (following caffeine-induced Ca2+ release) is approximately four times greater than the resting uptake rate (Mogami et al., 1998; Solovyova et al., 2002). Because the maximum uptake is likely to reflect Ca2+ pump saturation, which implies [CaP] → [P]tot, equation 11a predicts the relationship ku[P]tot ≈ 4LCa . Substituted in (11b), this gives
When Ca2+ stores are blocked, this should reduce the concentration of available pumps to , thus elevating [Ca2+]rest by ~40% (Results). Equations 12a and 11b recast in terms of the elevated Ca2+ level and , thus yield , or . Store blockade, therefore, removes approximately 22% of the buffering / uptake capacity that maintains the low resting Ca2+ concentration. This value is consistent with a ryanodine-induced prolongation of the ΔF/F decay, which depends mainly on Ca2+ removal.
We also find that blockade of Ca2+ stores reduces by up to 20% the Ca2+ transients evoked in giant MFBs by a short train of APs. This is consistent with the progressive decrease of EPSCs recorded in CA3 pyramidal cells following Ca2+ store blockade (Lauri et al., 2003). Incorporating a 20% reduction of Ca2+ entry and a 40% increase in resting Ca2+ concentration into the indicator-free model (Fig. 6A) predicts the free Ca2+ kinetics depicted in Fig. 6C. Interestingly, the difference between the two cases (Fig. 6A and C) suggests little impact of stores on the first two Ca2+ transients (Fig. 6D). This is because the reduction in Ca2+ entry is compensated for by the reduced buffering capacity (due to the elevated resting Ca2+). The phenomenon might explain, at least partly, why blockade of Ca2+ stores has little influence on single or paired synaptic responses (Carter et al., 2002; Liang et al., 2002; Lauri et al., 2003). Reduction in Ca2+ buffering capacity through elevation of resting Ca2+ could also contribute to the release probability increase at the calyx of Held following presynaptic depolarization (Turecek and Trussell, 2001; Awatramani et al., 2005).
While this mechanism acts at the giant MFBs representing synapses on CA3 pyramidal cells, the main synaptic target of MFs are interneurons (Acsady et al., 1998; Lawrence and McBain, 2003; Mori et al., 2004). The MF - interneuron synapses in CA3 are formed either by filopodial extensions of giant MFBs or by en-passant boutons (Acsady et al., 1998). These presynaptic specializations show clear AP-evoked Ca2+ signals that are insensitive to ryanodine (Scott and Rusakov, unpublished) while the corresponding synapses exhibit use-dependent plasticity distinct from that at MF - CA3 pyramidal cell synapses (Toth et al., 2000; Pelkey et al., 2005). Whether this functional diversity of MF synapses in CA3 could explain why Ca2+ store blockade has little effect on Ca2+-dependent fluorescence recorded in bulk-loaded MFs (Carter et al., 2002; Breustedt and Schmitz, 2004) remains to be established.
This work was supported by the Wellcome Trust, Medical Research Council (UK), the European Union (HPRN-CT-2000-00082; PROMEMORIA LSHM-CT-2005-512012), and Human Frontier Science Program. The authors thank Dimitri Kullmann, Kirill Volynski, Alex Verkhratsky and colleagues at UCL for valuable comments on the manuscript.