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The Journal of Neuroscience, November 15, 2002, 22(22):9708-9720
Limit on the Role of Activity in Controlling the Release-Ready Supply of Synaptic Vesicles
John F. Wesseling and Donald C. Lo Department of Neurobiology, Duke University Medical Center, Durham, North Carolina 27710
ABSTRACT
TOP
ABSTRACT
INTRODUCTION
Typical fast chemical synapses in the brain weaken transiently during normal high-frequency use after expending their presynaptic supply of release-ready vesicles. Although it takes several seconds for the readily releasable pool (RRP) to refill during periods of rest, it has been suggested that the replenishment process may be orders of magnitude faster when synapses are active. Here, we measure this replenishment rate at active Schaffer collateral terminals by determining the maximum rate of release that can still be elicited when the RRP is almost completely exhausted. On average, we find that spent vesicles are replaced at a maximum unitary rate of 0.24/sec during periods of intense activity. Because the replenishment rate is similar during subsequent periods of rest, we conclude that no special mechanism accelerates the mobilization of neurotransmitter in active terminals beyond the previously reported, several-fold, residual calcium-driven modulation that persists for several seconds after bouts of intense synaptic activity. In the course of this analysis, we provide new evidence supporting the hypothesis that a simple enzymatic step limits the rate at which reserve synaptic vesicles become ready to undergo exocytosis.
Key words: synaptic physiology; presynaptic; synaptic vesicle; priming; short-term plasticity; readily releasable pool
INTRODUCTION
Recently there has been considerable interest in measuring the time required for reserve synaptic vesicles to become available to participate in neurotransmission at CNS synapses (Stevens and Tsujimoto, 1995
; Rosenmund and Stevens, 1996
Typical presynaptic terminals contain hundreds of vesicles loaded with chemical transmitter, but at any given time, only a few of them are functionally available to be released quickly (Schikorski and Stevens, 1997
Previous studies have primarily measured the time it takes for the RRP to refill during periods of rest, most finding that recovery from depletion takes at least several seconds (Birks and MacIntosh, 1961
In this study we examined the extent to which the RRP replenishment rate can be accelerated to counteract short-term depression during heavy synaptic use. Using stimulation protocols that were sufficient to drive the RRPs of Schaffer collateral synapses into a near-empty steady state, we found that neurotransmitter becomes available for release only approximately two or three times as quickly when these synapses are active as it does during periods of rest, as predicted from the residual calcium-dependent type of replenishment-rate acceleration that has been reported previously (Stevens and Wesseling, 1998
MATERIALS AND METHODS
All synaptic responses were measured from patch-clamped neurons held in whole-cell voltage-clamp mode.
Preparation. Experiments were performed on transverse slices prepared from the hippocampi of 2- to 3-week-old mice. Mice were anesthetized by inhalation of halothane and decapitated soon after the disappearance of reflexive reactions to tail and foot pinches. Brains were removed rapidly and bathed in a chilled solution that had most of the sodium ions replaced with sucrose (in mM): 230 sucrose, 1.25 NaH2PO4, 26 NaHCO3, 10 glucose, 3.5 KCl, 2.6 MgCl2, and 1.3 CaCl2. The cerebellum and brain stem were dissected away, and 400-µm-thick coronal slices of the remaining brain were cut using a vibrating microtome. Hippocampal segments were dissected free, and area CA3 was removed for all experiments except those in which recordings were made of antidromic action potentials. The hippocampal slices were then gently washed three or four times in the physiological recording solution containing (in mM): 120 NaCl, 1.25 NaH2PO4, 26 NaHCO3, 10 glucose 3.5 KCl, 2.6 CaCl2, 1.3 MgCl2, picrotoxin (50 µM), and D(
)APV (50 µM), except where indicated. Recording solutions were bubbled with a mixture of 95% O2 and 5% CO2 for at least 20 min before addition of CaCl2 and MgCl2. The slices were maintained in an interface slice chamber and humidified with the same gas mixture for between 2 and 10 hr before being transferred to the submerged recording chamber.
Recording. Slices were submerged in the recording chamber with a nylon mesh affixed to a platinum anchor. The solution in the 0.5 ml recording chamber was exchanged 5-10 times per minute with continuously bubbled recording solution. Most recordings were performed using 3-5 M
pipettes, filled with saline containing (in mM): 130 Cs-gluconate, 5 CsCl, 5 NaCl, 2 MgCl2, 2 MgATP, 0.2 LiGTP, 1 EGTA, 0.2 CaCl2, and 10 HEPES. For experiments in which action potentials were fired antidromically, a solution containing (in mM) 140 K-gluconate, 9 NaCl, 1 MgCl2, 2 MgATP, 0.2 LiGTP, 1 EGTA, 0.2 CaCl2, and 10 HEPES was used instead. Intracellular solutions were adjusted to pH 7.2 and an osmolarity of 290 mOsm.
Stimulation. A monopolar silver/silver chloride electrode inserted into a glass pipette (tip diameter between 20 and 40 µm) and filled with recording solution was used for evoking action potentials in the Schaffer collaterals for all experiments presented here. EPSCs were evoked by up to 1 mA of current for 100 µsec. The more commonly used bipolar electrodes made of tungsten transiently became substantially less effective at eliciting action potentials over the course of single trials and were deemed unsuitable for these experiments. The experiment summarized in Figure 1B provides a good test for whether a stimulating device introduces unanticipated errors into the sorts of experiments detailed here. Because small changes in stimulus intensity can lead to large changes in the number of axons stimulated (Allen and Stevens, 1994
Minimal stimulator settings (see Fig. 7) were determined during low-frequency stimulation as the strength needed to elicit successful synaptic transmission less than half of the time. To ensure that transmission failures did not result from nerve conduction failures arising from axonal threshold fluctuations, minimal intensities were used only if it was possible to both increase and decrease the stimulus intensity by several percentages without noticeably changing the probability of release.
Drugs. NBQX (3 µM) was added to block glutamatergic transmission for antidromic action potential recordings. Stock solutions of cyclothiazide (CTZ) (20 mM) were made in DMSO and used at final concentration of 100 µM where indicated. Kynurenic acid (KYN) was added in powder form directly to the recording solution and then dissolved by vigorous stirring for several hours.
Experimental design. In general, it was often possible to repeat several trials of each experiment on individual preparations. To allow the synapses to recover completely between trials, at least 3 or 4 min was allowed for rest before high-frequency stimulation was initiated (4 min for most; 3 min for the minimal stimulation experiments). For the experiments documented in Figures 1A, 4, 5, 6, and 7, the experimental and control trials were alternated. The order of the different types of trials summarized in Figure 3 was shuffled. Data were accepted only if the access resistance was stationary throughout individual trials and also from trial to trial when the object was to compare synaptic response sizes between trials (see Figs. 1A, 4, 6, and 7).
Analysis. Synaptic size was measured as the slope of the rising phase of the postsynaptic response estimated by fitting the rising segment between 30 and 60% of the peak with a linear least squares fit. EPSCs recorded at
20 Hz were also measured as the current integral of the synaptic response to confirm that the relative measurements of short-term depression were accurate. Because typical synaptic responses took >25 msec to decay, measurements of synaptic potentials recorded at 40 Hz were adjusted for the slope of the baseline response over the 5 msec that preceded the stimulus artifact (<15% of total measure). For 20 Hz stimulation, a similar correction did not contribute substantially to the measure. Because the rising phase of the smallest recordings made in 1000 µM KYN were significantly contaminated by the stimulus artifact, the sizes of both the control and experimental recordings that involved this concentration of KYN were quantified as the current integral between 15 and 24 msec after the stimulus artifact.
RESULTS
We studied the rate at which vesicular packets of transmitter become available for release at excitatory glutamatergic synapses between hippocampal Schaffer collaterals and the CA1 pyramidal neurons in transverse slice preparations. When long-term changes are blocked pharmacologically with NMDA receptor antagonists, activity does not affect the sensitivity of the postsynaptic receptors at these synapses; the size of the postsynaptic response elicited by the release of transmitter quanta stays constant during periods of intense use [Dobrunz and Stevens (1997)
Sixty action potentials at 20 Hz exhaust the RRP
To measure the rate at which vesicles are prepared for exocytosis in active terminals, we developed a stimulation protocol that was sufficient to exhaust the RRP. Pilot experiments conducted on neurons grown in cell culture [similar to those described in Rosenmund and Stevens (1996)
Because the technique used in the cell culture system to check RRP fullness is not available in the slice preparation, an alternate test was devised that involved switching the frequency of stimulation during a repetitive train. Because readily releasable vesicles are functionally defined as the ones that are triggered for exocytosis directly by action potentials, increasing the stimulation rate when the RRP is still partially full should cause the rate of exocytosis to increase. Conversely, when the pool is empty, the synaptic strength is limited by the time it takes for fresh quanta of transmitter to become available for release, and that rate apparently does not change with stimulus frequency (Eccles and Rall, 1951
Figure 1 shows that 60 action potentials fired at 20 Hz nearly completely empty the RRPs of these synapses. Schaffer collaterals were stimulated 60 times at 20 Hz and then 21 more times either at 40 Hz or at 20 Hz as a control (Fig. 1A). During a brief settling time, the synaptic strength recorded at 40 Hz depressed quickly to one-half that recorded at 20 Hz (Fig. 1A, bottom versus top dashed lines). Because there were twice as many stimulations for each unit of time during the faster stimulation, the overall steady rate of release was the same at both frequencies. Thus, suddenly doubling the stimulus frequency to 40 Hz did not substantially increase the rate of transmitter release, suggesting that 60 action potentials at 20 Hz are sufficient to almost completely exhaust the RRP.
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Figure 1. The RRP is emptied by 60 action potentials at 20 Hz. A, Schaffer collaterals were stimulated 60 times at 20 Hz and then 21 more times either at 40 or 20 Hz while postsynaptic responses were recorded by patch clamping CA1 pyramidal neuron somata. Fluctuations caused by the quantal nature of transmitter release, including frequent transmission failures, dominated the recordings during the 40 Hz stimulation, and so traces were averaged across all experiments before being measured (each point represents the average of 18 trials from 4 slices). The synaptic response sizes were binned in groups of three, normalized by the size of the first response, and plotted versus the stimulus number. Diamonds represent responses of synapses stimulated at 20 Hz throughout; circles are from trials where the frequency was doubled. The filled circles represent 20 Hz responses; the open circles are 40 Hz responses. The value of the first bin is greater than 1 because of the short-term enhancement apparent during the first several responses. The top gray dashed line matches the steady-state response size for the last 21 responses when recorded at 20 Hz; the bottom line is drawn at exactly half that. Note that during the 40 Hz stimulation, the synaptic strength quickly settled to half that recorded at 20 Hz, matching the bottom dashed line and indicating that the RRP is left exhausted by the first 60 action potentials. Inset, The averages of the first 10 individual responses at 20 Hz, responses numbered 51-60 at 20 Hz, and the first 10 responses at 40 Hz are all scaled by their peak size and overlaid. Because the individual responses evoked at 40 Hz do not decay away completely in the 25 msec interstimulus interval, the corresponding tail of the average 20 Hz response was first scaled to match the prestimulus artifact baseline and then subtracted from the average 40 Hz response. Note that the shape of the EPSC did not change during the experiment. B, The stimulus intensity was set within the narrow threshold window as described in Results, and antidromic action potentials were recorded in CA3 pyramidal neurons as Schaffer collaterals were stimulated repetitively for 3 sec at 20 Hz and then for 1 sec at 40 Hz. The average probability of action potential firing given a stimulus (47 experiments, 2 neurons) was calculated for each second of stimulation and plotted versus time. Note that the firing probability did not change when the stimulus frequency was doubled (compare bars 3 and 4).
This logic is valid only if the stimulating apparatus successfully evoked action potentials in the same axons after each stimulus. For example, it is possible that 20 Hz might represent an upper limit on the rate of action potential firing, in which case, increasing the stimulation frequency to 40 Hz would not increase the overall spike-firing rate in individual Schaffer collaterals. To control for this possibility, antidromic action potentials were recorded in the cell bodies of CA3 pyramidal neurons during a frequency-switching stimulation protocol similar to the one used above. Using this approach, the stimulating apparatus was found to have no problem evoking action potentials up to rates of at least 40 Hz.
To test rigorously whether changing the stimulus frequency had an effect on the excitability of Schaffer collaterals, we examined the firing behavior of axons when they were stimulated with the minimum strength that was required to evoke action potentials. By carefully adjusting the stimulation strength, we found a narrow range of settings in which a fraction of the stimuli would fail to trigger a regenerative current. This threshold window allowed the quantification of very small changes in axonal excitability over the course of the experiment [Allen and Stevens (1994)
Figure 1B shows that the average probability of firing did not change substantially during the experiment. Analysis was limited to trials during which some, but not all, of the individual stimuli during the first second of stimulation failed to elicit action potentials. No change was detected in the effective excitability of the Schaffer collaterals when the stimulation frequency was switched from 20 to 40 Hz (Fig. 1B, compare bar 3 vs bar 4). This experiment confirms that the stimulating apparatus was effective at evoking action potentials in the Schaffer collaterals at the frequencies used for this study. Taken together, these results indicate that doubling the frequency of presynaptic action potential firing did not substantially increase the rate of exocytosis in these experiments, confirming that a 20 Hz train of 60 action potentials is sufficient to nearly completely exhaust the RRPs of these synapses.
Residual steady-state RRP fullness
How close to empty is the pool after 3 sec of 20 Hz stimulation? The RRP is never expected to be truly empty for long periods because the replenishment process continuously supplies fresh quanta of transmitter to replace the spent ones. The average level of the remaining steady-state fraction depends on both the pool replenishment rate and the rate at which vesicles undergo exocytosis once they become available. Below, we introduce a formal model of pool replenishment that is used in the Appendix to show that doubling the stimulation frequency should lower the standing steady-state fullness of the RRP by a factor of ~2. As detailed in the Appendix, the steady-state levels of fullness at both stimulation frequencies can be estimated from the small, transient increase in the transmitter release rate that occurs as the sizes of the individual responses settle to a new steady state after the stimulus frequency is doubled. For the experiments documented in Figure 1A, the brief release rate increase was quantified from the small difference in the sum of the responses elicited by 40 Hz stimulation compared with the corresponding sum of responses during 20 Hz stimulation. The extra amount of release elicited by the 40 Hz stimulation was <2% of the aggregate response elicited by the first 60 stimuli. We show in the Appendix how this predicts that the RRPs of these Schaffer collateral synapses were <5% full after 60 stimulations at 20 Hz.
The RRP replenishment rate is slow at active synapses
The preliminary studies confirmed that our experimental preparation was appropriate for measuring the replenishment rate of the RRP at active synapses by showing that trains of at least 60 stimuli (20 Hz) are sufficient to drive the RRP into a near-empty steady state. Because synaptic vesicles can undergo exocytosis only after having been readied for release, the rate at which fresh transmitter becomes available defines the sustained rate of release when the RRP is in such a state. Likewise, the overall rate of transmitter release must be equivalent to the rate of RRP replenishment so long as stimulation is rapid enough to keep the pool in the near-empty steady state. An estimate of the rate constant for RRP replenishment can be determined by dividing this sustained rate of release from exhausted terminals by the total capacity of their RRPs.
Lower bound for replenishment rate
The sum of all the responses evoked by the first 60 action potentials in a 20 Hz train yields an overestimate of the RRP capacity. Because such a stimulus train leaves the RRP nearly empty, the sum of the responses must reflect release of the entire content of the pool, an amount that is equivalent to the RRP capacity if stimulation is initiated when the RRP is full. The replenishment process is continuous, however, so some fraction of the cumulative response reflects release of transmitter that became available during the 3 sec of stimulation. The average response size during subsequent 20 Hz stimulation is directly proportional to the amount of pool replenishment that occurs during the brief interstimulus intervals, because each action potential leaves the RRP just as depleted as the previous one. Dividing the average response size during the fourth second of 20 Hz stimulation by the sum of the response sizes elicited by the first 60 action potentials yields a value of 0.75% for the data plotted in Figure 2A (14 slices). Because there are 20 action potentials per second, this translates into a standard rate constant of 0.15/sec. This would be the value of the RRP replenishment rate constant if no replenishment occurred during the first 3 sec of stimulation, and the sum of the first 60 responses was thereby directly proportional to the pool capacity. However, because the sum of the responses during the first 3 sec of stimulation is an overestimate of the true RRP capacity, 0.15/sec represents a lower bound for the RRP replenishment rate constant at active Schaffer collateral synapses.
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Figure 2. Readily releasable vesicles are replaced slowly during 20 Hz stimulation. A, Average relative synaptic strength is plotted as the Schaffer collaterals are stimulated at 20 Hz for 4 sec (each response was normalized by the size of the response to the first stimulus; experiments are from 14 slices). The dashed gray line represents the fraction of the synaptic response that is predicted to result from the exocytosis of vesicles that became available for release during the experiment (as derived in the Appendix). B, Working model of RRP replenishment. Left panel, In the resting synapse the spontaneous rate of exocytosis is low, and the RRP fills completely. The pool has a maximum capacity, and the high-energy barrier that keeps vesicles from fusing spontaneously is the rate-limiting element that controls how quickly synaptic vesicles undergo exocytosis. Right panel, Episodes of high-frequency activity drive exocytosis quickly enough to exhaust the RRP. With the pool empty, the rate at which new vesicles are made available limits the rate of transmitter release; the energy barrier to fusion prevents vesicles from undergoing exocytosis in the interval between action potentials, but as long as the high-frequency spike train continues, the barrier is no longer the rate-limiting element in the exocytic/endocytic cycle. This model accounts only for rate-limiting steps in the exocytic/endocytic cycle during the first several seconds of heavy use. Thereafter an additional element plays a role in controlling the dynamics of neurotransmitter mobilization. Endocytosis does not play a rate-limiting role in this scheme and is not represented here. C, The simultaneous solutions for Equations 1A and 3A (Appendix) are plotted for the data shown in A. The two independent equations relate the rate constant of pool replenishment to the fraction of the full pool triggered to release by isolated action potentials (fusion efficiency). When the corresponding values for the two parameters are plotted against each other, the resulting lines intersect where the refilling rate constant equals 0.24/sec and the initial fusion efficiency is 0.044. Equation 1A depends only on the steady-state response size after the pool has reached a near-empty steady state and is represented by the gray diagonal line. Equation 3A depends on the changing rate at which transmitter was released over the complete course of the experiment and is represented by the black line. D, The initial fusion efficiency and the pool replenishment rate constant were estimated separately by simultaneously solving Equations 1A and 3A for each of the 14 experiments summarized in A and plotted versus each other. Note that there is no evident correlation between these two parameters.
Upper bound for replenishment rate
An upper bound can be calculated by assuming that the amount of RRP replenishment during each of the first 3 sec of stimulation is the same as it is during the fourth second when the refreshment rate can be estimated as the rate of exocytosis. If so, the release of freshly prepared transmitter would account for ~45% of the sum of responses elicited during the first 3 sec of stimulation. Excluding this fraction yields a rate constant for RRP replenishment of 0.28/sec. The release of replacement neurotransmitter is responsible for <45% of the cumulative quantity released, however, because the amount of replenishment during the first 2 sec of stimulation when the RRP is still partially full must be less than the corresponding quantity when almost all the release sites are vacant. The actual rate constant describing RRP replenishment therefore must fall somewhere between the lower 0.15/sec estimate and 0.28/sec. We note that this upper bound is based on the generally accepted classic concept that a functionally definable RRP does indeed exist (Elmqvist and Quastel, 1965A simple kinetic model for RRP replenishment
First, and to pinpoint the RRP replenishment rate constant within the range determined above, we present a quantitative model that allows us to gauge how much of the cumulative synaptic response was caused by the release of transmitter that became available during the experiments described above. Our simple model is depicted schematically in Figure 2B and is represented formally by Equation 1:
where the rate constant of pool filling,
(1) , is the parameter that we evaluate,
is the unitary rate of exocytosis, n represents the number of vesicles available for release, and N is the capacity of the RRP (i.e., the total number of release sites in the RRP).
Equation 1 describes a realistic general model of RRP dynamics during the first several seconds of high-frequency use. It assumes a pool of a fixed size (N) containing individual sites that fill independently with first-order kinetics. The differential equation is equivalent to the one used to characterize the kinetics of pool replenishment in one of the earliest papers describing the time course of RRP refilling at central synapses (Stevens and Tsujimoto, 1995
Equation 1 provides enough constraints to calculate the replenishment rate constant (
Estimates of fusion efficiency
Equation 1 also provides information about the efficiency with which action potentials trigger exocytosis that can be used as a consistency check for the logic presented so far. Although the present analysis does not provide meaningful absolute units for N because neither the number of synapses activated simultaneously nor the quantal response sizes are known, the fraction of the RRP that was triggered to undergo exocytosis by the first action potential in each 20 Hz train can be calculated by dividing the size of the first response by N. This fraction is termed the initial fusion efficiency because it represents the efficiency with which isolated action potentials trigger the release of available vesicles at resting synapses (Stevens and Wesseling, 1999a
Slowly dissipating, activity-dependent acceleration of the replenishment process
Is neurotransmitter prepared for exocytosis much more quickly at active nerve terminals than at quiescent ones? The average replenishment rate constant of 0.24/sec that we have determined for the RRPs of active Schaffer collateral synapses is not much faster, if at all, than the resting refreshment rate measured at similar types of synapses grown in cell culture [which range from 0.09/sec to 0.4/sec (Stevens and Wesseling, 1998
The experimental strategy used is conceptually similar to previously published methods (Stevens and Tsujimoto, 1995
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Figure 3. The RRP replenishment time course during periods of rest is predicted by the refreshment rate when synapses are active. The RRP was emptied with 80 action potentials (20 Hz), and subsequent recovery was monitored after an experimentally varied delay with an identical burst of stimulation (diagrammed at top). The sums of the responses to the second stimulus train were normalized as described in Results and plotted against the recovery interval. The curve is the predicted RRP refilling time course calculated with Equation 2 from the replenishment rate measured when the synapses were active (0.30/sec for these synapses; mean ± SEM; 9 cells, at least 10 trials for each point). Inset, Average synaptic strengths of the responses elicited during the first and second stimulus trains for the 2 sec recovery interval are plotted versus time during the trial (filled circles represent the responses that were used to estimate the RRP recovery after 2 sec of rest, i.e., the first 60 responses of each stimulus train).
As anticipated from Stevens and Wesseling (1998)
where
(2) The estimate of the RRP replenishment rate at active synapses is thus consistent with the measured time course of pool refilling during subsequent periods of rest. The slowly decaying, residual calcium-dependent acceleration appears to be the only significant kinetic element that increases the rate at which neurotransmitter becomes available for release during periods of heavy use.
Pool capacity does not depend on the measurement methodology
Although the conclusion that it takes several seconds for fresh vesicles laden with neurotransmitter to be prepared for exocytosis at active synapses does not depend on the particular formal theory used to calculate the RRP refreshment rate, it is based on the classic concept that a functionally definable subset of the synaptic vesicles is available for action potential-triggered exocytosis. To test this generally accepted assumption more thoroughly, we investigated the effects of changing either the efficiency with which individual action potentials trigger the exocytosis of readily releasable vesicles, or the rate of stimulation, on our measure of pool capacity.
Calcium
Raising the extracellular concentration of calcium enhances the strength of resting synapses by increasing the efficiency with which action potentials trigger exocytosis of release-ready vesicles, whereas magnesium has the opposite effect [Stevens and Wesseling (1999a)
Neither the RRP capacity nor the replenishment rate calculated as outlined in the Appendix differed significantly between conditions. The measured capacity was slightly larger under the high calcium condition (9%), and the replenishment rate was slightly lower (0.26 vs 0.31/sec), both differences reflecting a nonsignificantly lower (5%) average steady-state response to the final 20 stimuli under the high calcium condition. As expected, the increase in the initial fusion efficiency calculated from the simultaneous solutions of Equations 1A and 3A for both sets of data (Fig. 4Aii) closely matched the increase in synaptic strength that occurred when the calcium to magnesium ratio was increased.
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Figure 4. The capacity of the RRP does not depend on the measurement protocol. A, Short-term depression was induced with 80 stimuli (20 Hz) with either 2.5 mM Ca/2.5 mM Mg (squares) in the bath or 4.5 Ca/0.5 Mg (circles) at the same synapses. i, Responses were normalized by the average size of the first response recorded at the lower calcium concentration and plotted versus stimulus number (3 slices, 7 trials for each). ii, The RRP replenishment rate constant and the initial fusion efficiency were calculated by simultaneously solving Equations 1A and 3A, as in Figure 2C. The gray lines represent the analysis of responses evoked under the high calcium condition; the black lines are for the lower calcium experiments. The dashed lines represent the solutions for Equation 1A; the solid lines represent Equation 3A. Points of intersection represent the common solutions. Note that, as predicted, the fusion efficiency in high calcium is greater than the fusion efficiency in low calcium by a factor similar to the amount of enhancement in synaptic strength observed after switching into the higher calcium-containing solution. B, Depression was induced with 81 stimuli at 20 and 40 Hz for the same synapses. i, The response sizes were normalized by the average size of the first responses in the stimulus trains and plotted versus stimulus number for both sets of trials (3 slices, 11 trials for each). ii, Simultaneous solution of Equations 1A (dashed lines) and 3A (solid lines). The gray lines represent the analysis of the 40 Hz responses; black lines represent the analysis of 20 Hz responses.
Stimulation frequency
The measurement of RRP capacity should also be independent of the particular stimulation protocol used to empty it. To test this, pool capacity was measured from 80 responses generated at either 20 or 40 Hz (Fig. 4B). Although the sum of the responses evoked by the first 60 stimuli at 20 Hz was 28% greater than the corresponding sum of responses to 60 action potentials recorded at 40 Hz, this difference was expected because there was twice as much time for replacement transmitter to become available for release during the slower stimulus trains. When this factor is taken into account as outlined in the Appendix, the resting capacity estimated from the responses evoked by the 20 Hz stimulation was within 5% of the value derived from the 40 Hz trials. The solutions of Equations 1A and 3A are plotted in Figure 4Bii. As expected, the RRP replenishment rate constants were similar for the two data sets (0.29/sec for the 40 Hz stimulation protocol and 0.26/sec for the 20 Hz protocol). Together, these results indicate that the capacity of the RRP does not depend on the particular protocol used to measure it. They provide support for the general concept that the neurotransmitter used for synaptic signaling is drawn from a nonarbitrary RRP (Birks and MacIntosh, 1961A test of Equation 1 in particular
Further analysis of the experiments already summarized in Figure 1A provides another, independent test of our specific model. In addition to predicting the average fullness of the RRP under near-empty steady-state conditions, Equation 1 provides enough constraints to predict quantitatively the time course of transition over which a new steady state is achieved when the frequency of stimulation is suddenly doubled, as it was in those experiments. The predicted time course follows a single exponential with a time constant of 94 msec (as derived in the Appendix). Figure 5 shows that this prediction corresponds well with the observed time course of decay in synaptic strength.
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Figure 5. The working model predicts the synaptic response settling time course when the stimulation frequency is doubled after the RRP has been emptied. The circles represent the relative synaptic strength during the 40 Hz stimulation (also plotted on a smaller scale as open circles in Fig. 1A). The dashed line is the prediction generated by Equation 1 in the Appendix and depends on the integral of the small transient increase in the overall rate of exocytosis that occurs after switching frequencies from 20 to 40 Hz.
Controls indicating that postsynaptic responses linearly track exocytic rates
As mentioned above, the analysis presented in this report relies on the assumption that postsynaptic responses can be used as linear detectors of the amount of transmitter release at these synapses during 20 and 40 Hz use. This would not be a valid assumption for some other types of central synapses in which postsynaptic elements of short-term plasticity have been observed. Following are a series of controls designed to confirm the conclusions of earlier reports (Dobrunz and Stevens, 1997
Receptor desensitization
At some types of synapses, postsynaptic receptor desensitization contributes to short-term depression (Trussell et al., 1993
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Figure 6. CTZ and KYN do not affect short-term depression. Ai, Forty Hertz stimulation. Schaffer collaterals were stimulated 80 times at 40 Hz in the presence and absence of 100 µM CTZ. Average responses to the stimulus trains with (gray traces) and without (black traces; scaled by 1.12) CTZ are plotted (data are from 4 slices, 18 trials for each). The first six responses are plotted in the top panel. Note that CTZ amplified the first response slightly more than the rest, possibly because of presynaptic side effects of the drug. The entire electrophysiological recordings (the trace gathered in the absence of drug is scaled by 1.12), with the stimulus artifacts blanked (2 msec windows), are plotted in the bottom panel. Aii, Twenty Hertz and frequency switching. Schaffer collaterals were stimulated 60 times at 20 Hz and then 21 more times at 40 Hz as in Figure 1A in the presence and absence of 100 µM CTZ. The size of the synaptic response to each stimulus was normalized by the average size of the first control response (no drug). The size of each response recorded in CTZ is plotted against the size of the corresponding control response to the same stimulus number (open circles represent responses at 40 Hz; filled circles are 20 Hz responses). The dashed gray line is straight, with a slope of 1.12 (3 slices, 10 trials each). Inset, The average current traces representing the responses to the 20 stimuli preceding and after the frequency switch for each condition are overlaid (the response recorded in the absence of drug was scaled by 1.12; the larger of the two sets of current deflections represents responses recorded at 20 Hz; the baseline of the 40 Hz response average was calculated and subtracted as for the inset of Fig. 1A). Note that the scaled responses with and without drug are identical and that the average 40 Hz response size is approximately half that recorded at 20 Hz. B, Schaffer collaterals were stimulated at least 80 times at 40 Hz alternately in the presence and absence of KYN (300 µM: 3 slices, 22 trials each; 1000 µM: 3 slices, 10 trials each). The normalized sizes of the control responses are plotted against the corresponding sizes of the responses gathered with KYN in the bath for each stimulus (i, 300 µM KYN; ii, 1000 µM KYN). The dashed lines are straight with slopes of 0.34 (i) and 0.22 (ii).
Receptor saturation and voltage-clamp errors
The glutamate receptor antagonist KYN was used in an additional control designed to test for other unanticipated nonlinearities in the postsynaptic response to the release of neurotransmitter at 40 Hz. For example, it has been suggested that the glutamate released from a single vesicle may bind to between 70 and 90% of all receptor binding sites, saturating the response at individual synapses (Jonas et al., 1993300 µM KYN should shift the dose-response relationship between transmitter release and postsynaptic response size well into the linear range (Diamond and Jahr, 1997
Intersynaptic cross talk
Finally, we provide a positive control for our assumption that the postsynaptic responses to Schaffer collateral stimulation can be used as linear estimators of transmitter release. The CTZ and KYN experiments argue against receptor desensitization or saturation as significant contributions to short-term plasticity, but do not necessarily address other potential postsynaptic mechanisms. A more direct test has been provided by Dobrunz and Stevens (1997)
Figure 7 shows that neither the size of the successful minimal responses (Fig. 7B) nor the probability of release (Fig. 7C) was affected by the transmitter release elicited by the large, interleaved stimuli. This result argues strongly against a contribution of intersynaptic cross talk to short-term depression. The average amplitude of the successful minimal responses during both types of trials may have declined a small amount during the first second of stimulation (Fig. 7B). The effect is attributable to the infrequent, simultaneous exocytosis of multiple vesicles, as expected of a stochastic release process when the overall probability of release is as high as it was at the beginning of the weak stimuli trains (Zucker, 1973
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Figure 7. Individual synapses behave like simultaneously activated populations. Schaffer collaterals were stimulated with pairs of 4-sec-long spike trains (20 Hz) separated by 2 sec intervals. For half of the trials, only a minimal number of afferents were stimulated throughout. For the other half, stimuli of normal intensity were interleaved with the weak stimuli. A, Typical, sequential raw data example of a failure, a large response, and a minimal response during interleaved stimulation. B, C, The average sizes (B) and probability (C) of successful transmissions in response to the minimal stimuli were averaged into 200 msec bins and plotted versus the time of the experiment. The squares represent the interleaved minimal responses; the circles summarize experiments in which only minimal stimuli were used throughout.
DISCUSSION
Here we show that a slowly dissipating, residual calcium-driven acceleration mechanism is sufficient to account for the full range of activity-dependent modulation of the rate at which neurotransmitter is prepared for exocytosis at Schaffer collateral synapses. Fresh quanta of neurotransmitter were found to replace spent ones in the RRP at an average rate of 0.24/sec when synapses were active. During subsequent periods of rest, the RRP refilled with an ~5 sec exponential time course, as expected if the replenishment process were to gradually decelerate during inactive periods as demonstrated previously (Stevens and Wesseling, 1998
A kinetically simple model (Eq. 1) of the rate-limiting mechanisms that control how long it takes for neurotransmitter to be prepared for release provides a good account of the dynamics of short-term plasticity analyzed here. In particular, Figure 5 shows that when the RRP is in a near-empty steady state, our working model predicts quantitatively the time course over which the synaptic strength settles to a new steady state after perturbations in the stimulus frequency, a behavior that is a hallmark of first-order kinetic reactions.
Although the cell biological process of vesicular maturation is complex, involving endocytosis, vesicle genesis and loading, physical translocation and docking to the release sites, and biochemical priming (Sudhof, 1995
Does the readily releasable pool have kinetic subdivisions?
Our working model makes no qualitative kinetic distinctions among readily releasable vesicles. The data presented here are also consistent with models in which some of the release-ready vesicles are available for immediate exocytosis, and the rest are used to restock quickly this smaller pool when required, as long as the rate of transfer between the two pools is fast on the time scale of these experiments (Neher and Zucker, 1993
Relation to earlier studies
On the basis of electrophysiological data alone, the RRP refreshment rate that we have measured may pertain either to the time it takes for reserve vesicles to be prepared for release or to some other mechanism of neurotransmitter mobilization such as direct refilling of the depleted readily releasable vesicles themselves. However, Pyle et al. (2000)
Several studies have reported that the transmitter mobilization process is much faster when synapses are active than it is during subsequent rest intervals (Kusano and Landau, 1975
Pyle et al. (2000)
What is the role of the RRP?
The release-ready supply of synaptic vesicles supports the ability of synapses to communicate information encoded by the spike-firing rate. The hippocampal synapses that we have studied start with a typical release probability of ~30-40% (Hessler et al., 1993
Because of the kinetic constraints imposed by a slow RRP replenishment rate, information would likely be transmitted more efficiently via these synapses by a neural code that relies on sporadic bursts of activity than on one that uses precise modulations in the frequency of continuous activity. Consistent with this, excitatory neurons in the hippocampus and other brain regions do tend to fire such bursts of spikes in awake and behaving mammals (Ranck, 1973
FOOTNOTES Received July 24, 2002; revised Sept. 6, 2002; accepted Sept. 9, 2002.
Funding was provided by National Institutes of Health Grants NS10827 (J.F.W.) and NS32742 (D.C.L.) and the McKnight Endowment Fund (D.C.L.). We thank Dr. Dana Cohen, Dr. Isabel Pérez-Otaño, Dr. Iman Brivanlou, and Dr. Richard Aldrich for providing helpful suggestions.
Correspondence should be addressed to John F. Wesseling, Duke University Medical Center 3209, Duke University Department of Neurobiology, Durham, NC 27710. E-mail: wesseling{at}neuro.duke.edu.
APPENDIX
Derivation of the RRP refreshment rate from Equation 1
According to Equation 1, when the RRP starts off empty, and there is no exocytosis (i.e.,
These conditions are approximated during the brief intervals between stimuli when the RRP is in a near-empty steady state, as it is after the 60th action potential in a high-frequency train. While the pool is maintained in a steady state, the amount of refilling between stimuli must be equivalent to the amount of exocytosis, r(
), elicited by each action potential. If
is the frequency of stimulation (20 Hz or 40 Hz for this study):
because 1/
