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The Journal of Neuroscience, March 1, 2002, 22(5):1942-1955
Persistent, Exocytosis-Independent Silencing of Release Sites
Underlies Homosynaptic Depression at Sensory Synapses in
Aplysia
Tony D.
Gover3,
Xue-Ying
Jiang1, and
Thomas
W.
Abrams1, 2, 3
Departments of 1 Pharmacology and
2 Anesthesiology and 3 Program in Neuroscience,
University of Maryland School of Medicine, Baltimore, Maryland
21201-1559
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ABSTRACT |
The synaptic connections of Aplysia sensory neurons
(SNs) undergo dramatic homosynaptic depression (HSD) with only a few
low-frequency stimuli. Strong and weak SN synapses, although differing
in their probabilities of release, undergo HSD at the same rate; this
suggests that the major mechanism underlying HSD in these SNs may not
be depletion of the releasable pool of vesicles. In computational models, we evaluated alternative mechanisms of HSD, including vesicle
depletion, to determine which mechanisms enable strong and weak
synapses to depress with identical time courses. Of five mechanisms
tested, only release-independent, stimulus-dependent switching off of
release sites resulted in HSD that was independent of initial synaptic
strength. This conclusion that HSD is a release-independent phenomenon
was supported by empirical results: an increase in Ca2+ influx caused by spike broadening with a
K+ channel blocker did not alter HSD. Once induced,
HSD persisted during 40 min of rest with no detectable recovery; thus,
release does not recover automatically with rest, contrary to what
would be expected if HSD represented an exhaustion of the exocytosis mechanism. The hypothesis that short-term HSD involves primarily a
stepwise silencing of release sites, rather than vesicle depletion, is
consistent with our earlier observation that HSD is accompanied by only
a modest decrease in release probability, as indicated by little change
in the paired-pulse ratio. In contrast, we found that there was a
dramatic decrease in the paired-pulse ratio during serotonin-induced
facilitation; this suggests that heterosynaptic facilitation primarily
involves an increase in release probability, rather than a change in
the number of functional release sites.
Key words:
synaptic depression; vesicle depletion; univesicular
release; computer simulations; silencing of release sites; serotonin-induced facilitation
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INTRODUCTION |
Homosynaptic depression (HSD) is a
form of synaptic plasticity that plays a role in a number of
behaviorally important neural processes, including habituation (Cohen
et al., 1997 ), discrimination of novel stimuli, and balancing of
multiple synaptic inputs that have diverse tonic firing rates (Abbott
et al., 1997 ). Although HSD is an extremely widespread form of synaptic
plasticity, the underlying mechanisms have rarely been demonstrated.
Early analyses at the neuromuscular junction suggested that HSD
represents exhaustion after repeated activation, perhaps involving depletion of releasable vesicles (Elmqvist and Quastel, 1965 ; Thies,
1965 ; Betz, 1970 ). Other presynaptic changes contribute to short-term
HSD, including spike propagation failure (Hatt and Smith, 1976 ; Brody
and Yue, 2000 ), calcium channel inactivation (Patil et al., 1998 ), and
inhibition of excitation-secretion coupling via presynaptic
autoreceptors (Redman and Silinsky, 1994 ). Alternatively, HSD may be
mediated by changes in postsynaptic receptors (Trussell et al., 1993 ;
Narasimhan and Linden, 1996 ; Kandler et al., 1998 ; Carroll et al.,
1999 ). Although the most commonly accepted explanation for short-term
synaptic depression is still depletion of the readily releasable pool
of vesicles, there have been few studies that have critically evaluated
the contribution of depletion (Zucker and Bruner, 1977 ; von Gersdorff
et al., 1997 ; Faber, 1998 ).
HSD at the synaptic connections of the mechanosensory neurons (SN) in
Aplysia that trigger the gill, siphon, and tail defensive withdrawal reflexes contributes importantly to some forms of behavioral habituation (Cohen et al., 1997 ). HSD at these synapses is unusual in
that it is effectively induced with small numbers of stimuli at long
interstimulus intervals (ISIs) (e.g., 5 min) (Byrne, 1982 ; Eliot et
al., 1994 ; Armitage and Siegelbaum, 1998 ). Several lines of evidence
indicate that depression at these synapses is a purely presynaptic
phenomenon: (1) accompanying HSD, there is a decrease in quantal
content (Castellucci and Kandel, 1974 ). (2) During HSD, there is no
detectable change in postsynaptic sensitivity to the putative SN
transmitter glutamate. (3) HSD is unaffected by application of a
glutamate antagonist to reversibly block postsynaptic receptors during
induction (Armitage and Siegelbaum, 1998 ).
What presynaptic change is responsible for HSD at Aplysia SN
synapses? One class of mechanism is a decrease in the probability of
release. During HSD there is not a decrease in
Ca2+ influx through those channels that
mediate release (Armitage and Siegelbaum, 1998 ). However, there are
numerous possible changes in exocytosis-related proteins that could
result in decreased release probability (Hsu et al., 1996 ). Depletion
of the readily releasable pool of vesicles (Byrne, 1982 ) has been
widely believed to account for HSD at these synapses because
quantitative computational models suggested that this is a plausible
mechanism (Gingrich and Byrne, 1985 ). However, the depletion model has
not yet been tested with HSD produced by brief trains of stimuli.
We began this computational study because of two key observations we
recently made about HSD in Aplysia SNs that together have
important implications for our understanding of this plasticity. First,
we observed that paired-pulse facilitation is inversely related to
initial synaptic strength, with strong synapses showing little, if any,
paired-pulse facilitation (Jiang and Abrams, 1998 ). This difference in
paired-pulse ratios was maintained after synaptic depression. Thus,
strong and weak synapses must differ in the properties of individual
release sites, rather than simply differing in the number of release
sites. The failure of strong synapses to display paired-pulse
facilitation suggests that these synapses have a high probability of
release during the first paired spike (Stevens and Wang, 1995 ; Debanne
et al., 1996 ; Murthy et al., 1997 ). Our second key observation was
that, despite this difference in release properties, strong and weak
synapses underwent HSD at the same rate (Jiang and Abrams, 1998 ). As
became apparent through our exploration of a wide variety of mechanisms
of HSD in simulations, these two observations greatly constrain those mechanisms that can account for HSD at these synapses.
To evaluate possible mechanisms contributing to HSD, we developed Monte
Carlo simulations that incorporated a key aspect of CNS synaptic
physiology: the stochastic nature of univesicular exocytosis. At most
of the several CNS synapses that have been analyzed, individual release
sites release either zero or one vesicle during each spike (see
Discussion). However, most previous models of HSD represented the
entire synaptic connection between a presynaptic and postsynaptic
neuron as a single large terminal that releases multiple quanta,
ignoring the stochastic and univesicular aspects of release (Gingrich
and Byrne, 1985 ; Yamada and Zucker, 1992 ; Melkonian, 1993 ; Canepari and
Cherubini, 1998 ). These two types of models, one large terminal with
multivesicular release and multiple terminals with univesicular
release, have very different consequences for plasticity because they
differ fundamentally in the kinetics of vesicle depletion (Faber, 1998 ;
Matveev and Wang, 2000 ).
In addition to examining models where multivesicular release was
restricted, we asked what synaptic properties would be required if
vesicle depletion resulting from unrestricted multivesicular release
were to account for HSD in this system. We found that this is an
unsatisfactory explanation for HSD at these synapses because of the
implausibly high release probabilities that would be required.
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MATERIALS AND METHODS |
Electrophysiology. Aplysia californica, weighing
70-200 gm (obtained from Alacrity or Marinus, Inc.) were anesthetized
by injection with isotonic MgCl2. Abdominal
ganglia were removed and the ventral surface of the left hemiganglion
was desheathed in a 1:1 mixture of MgCl2 and
artificial seawater. Ganglia were superfused at room temperature with
high divalent saline (6× normal Ca2+;
1.6× normal Mg2+) (Goldsmith and Abrams,
1991 ) to reduce spontaneous synaptic activity: (in mM):
328 NaCl, 10 KCl, 66 CaCl2, 88 MgCl2, and 10 Na-HEPES, pH 7.6, supplemented with
nutrients [7 mM glucose, MEM essential and
nonessential amino acids (0.2× normal concentration; Invitrogen,
Carlsbad, CA), and MEM vitamin solution (0.7× normal concentration; Invitrogen)]. This high-divalent saline does not alter
synaptic strength (Jiang and Abrams, 1998 ). 4-aminopyridine (4-AP) and
3,4-diaminopyridine (3,4-DAP) (both from Sigma, St. Louis, MO) were
dissolved in saline at their final concentrations. Siphon SNs and
LFS motoneurons (MNs) were penetrated with single 10-20 M
microelectrodes filled with either 2 M KCl or 2 M K-acetate and 0.4 M KCl.
During penetration, 0.5-1.0 nA hyperpolarizing current was injected to
prevent SN firing. SN action potentials were elicited by injection of 2 msec depolarizing current pulses. The membrane potential of
postsynaptic MNs was hyperpolarized at 50 or 60 mV below the resting
potential to prevent action potentials. After a synaptic connection was
identified, the synapse was rested for a minimum of 10 min before
beginning an experimental protocol. During experiments on synaptic
depression, action potentials in SNs were elicited at a 15 sec
interval. Data were acquired digitally and analyzed using Spike
software (Hilal Associates). In paired-pulse measurements, each synapse
was activated only once with paired stimulation (at a 50 msec interval)
because at these synapses paired-pulse facilitation is extremely labile
(Jiang and Abrams, 1998 ).
Computer simulations. The computational models were
representations of a synaptic connection between a single siphon SN and a MN, consisting of 40 release sites. Based on the morphological studies of Bailey and Chen (1983) , who found that presynaptic varicosities did not contain multiple release sites (active zones), each release site was functionally independent. Electron microscopic measurements have determined the number of vesicles immediately adjacent to the presynaptic active zones to be ~15 vesicles in nondepressed SN synapses (Bailey and Chen, 1988 ); this value represents an upper estimate of the size of the releasable pool, because not all
vesicles near the presynaptic membrane may be releasable. In these
simulations, initial numbers of readily releasable vesicles per release
site were varied from 2 to 20. The simulated HSD protocol consisted of
a series of 15 action potentials with a 15 sec ISI. Each action
potential produced Ca2+ transients that
were equal in magnitude for all release sites. Because
Ca2+ imaging analysis demonstrated that
Ca2+ transients do not change during HSD
(Armitage and Siegelbaum, 1998 ), we used a simulated transient that was
a constant amplitude square pulse, 1 msec in duration. The
Ca2+ concentration at release sites
increases extremely rapidly in microdomains adjacent to the mouths of
open Ca2+ channels, reaching
concentrations of a few hundred micromolar, and then falls rapidly once
the channels close (Fogelson and Zucker, 1985 ; Adler et al., 1991 ;
Roberts et al., 1991 ; Llinas et al., 1992 ). Therefore in these
simulations, we used a square pulse of
Ca2+ that reached a concentration of 200 µM. The sampling interval ( t) for
each simulation was always a fraction of the duration of the
Ca2+ rise; t was either
0.01, 0.1, or 0.25 msec. Release probability of each site during a
single simulation interval
(Psite, t) was calculated as a
function of the number of releasable vesicles (n), the
probability of release of an individual vesicle
(Pves), and the concentration of
intracellular Ca2+
([Ca2+]i),
according to the equation:
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(1)
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Pves,Ca the probability of
individual vesicles being released as a function of
[Ca2+]i was
calculated from the following equation based on the
Ca2+ dependence of exocytosis as
determined by Heidelberger et al. (1994) as the product of
Pves, the maximum possible per vesicle probability, and a fraction that depends on
[Ca2+]i:
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(2)
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where Kd1 = 143 µM,
Kd2 = 57.2 µM,
Kd3 = 22.9 µM, and
Kd4 = 9.2 µM (Heidelberger et al.,
1994 ).
Whereas Pves does not vary over time,
Pves,Ca is a continuously changing
function of free
[Ca2+]i. Because
of the near saturating intracellular Ca2+
concentration during the Ca2+ transient,
this fraction equaled 0.95 during the period of elevated [Ca2+]i.
During each sampling interval, for each release site,
Psite, t was compared with a
randomly generated number between 0 and 1; a vesicle release event was
generated when Psite, t was greater
than the random value. Psite
(equivalent to Pr) is the probability
that a release event will occur at a single release site during the
entire 1 msec Ca2+ transient. For each set
of initial synaptic parameters and for the t used in the simulation,
Pves was selected so that
Psite was 0.25, 0.75, or 0.9 with one specific
number of releasable vesicles (n; usually n = 6, 10, or 20) (Fig. 1). (The
Pves values selected depended on the
sampling interval, t; to produce a given Psite, lower values of
Pves were required when t was
smaller). The vesicle number, n, was then varied; the range
of initial n values that were used gave initial values for
Psite ranging from 0.05 to 0.9.

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Figure 1.
Dependence of release site probability
(Psite) on the number of releasable
vesicles and the probability of release of individual vesicles.
A, Psite as a function of the
number of readily releasable vesicles (n). In
this graph, the probability of release of individual vesicles
(Pves) was selected to achieve a
Psite of 0.9 with 10 releasable vesicles.
B, Psite as a function of
Pves for different values of
n. C, Normalized
Psite as a function of
Pves for different values of
n. Normalized Psite equals
100 times Psite divided by the maximum
Psite for each curve
(Psite is at a maximum in these curves when
Pves equals 0.0024). In both
B and C, n = 2, 4, 6, 8, and 10. Note that the curves for different values of
n are not parallel. In A, the
nonlinear curve indicates why, as n decreases with
depletion, synapses with relatively large releasable pools are less
affected than synapses with relatively small releasable pools. In
B and C, the nonparallel curves
illustrate why, as Pves decrements (by a
given percentage) through repeated synaptic activation, there is a
smaller impact on Psite when
Pves or n is initially large
than when Pves or n is
initially small. [The relationship between
Psite and Pves
depends on the sampling interval ( t) because
Pves is the per vesicle release probability
for a single sampling interval; however, the qualitative relationship
is independent of t; in these curves, t = 0.01 msec].
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After a release event occurred at a given site, depending on the model,
subsequent release was altered in one of three possible alternative
ways: (1) for univesicular release models, no further release events
were permitted until the next stimulus. (2) For limited multivesicular
release models, the probability of subsequent releases for a site was
reduced to a fraction of the normal
Psite, t by multiplying
Psite, t by a refractoriness
factor; this refractoriness factor was 0.33 immediately after an exocytosis event, and it recovered with a time
constant of 3 msec. (In addition,
Psite decreased because it was a
function of the number of docked vesicles that remained after previous
exocytosis events.) (3) For unlimited multivesicular release models,
the site was capable of additional release events with no restriction
(Psite was reduced only because of the
reduced size of the releasable pool as a result of depletion).
In these simulations, we compared HSD at strong and weak synapses.
Differences in initial synaptic strength were achieved by varying
either the number of releasable vesicles (n) or the per
vesicle release probability (Pves).
(All synaptic connections initially consisted of 40 functionally active
release sites.) In each set of simulations, the initial values for
either n or Pves were
selected to produce an ~2.8-fold difference in
Psite between strong and weak synapses
[based on the differences in synaptic strength of the strong and weak
synapses for which Jiang and Abrams (1998) characterized paired-pulse
ratios].
HSD was produced by either depletion of vesicles, decrement of
Pves, or reduction in the number of
functionally active release sites
(Nsite). In the case of depletion,
reduction in the releasable pool was a direct consequence of the
release event itself. In the case of decrement of
Pves or inactivation of release sites, the synaptic parameter decreased as an exponential function of either
the release events at an individual site or the action potentials
(independent of release). To obtain these exponential functions,
empirical HSD data for the combined populations of strong and weak SN
synapses were first fit by a single "empirical" exponential. These
computational studies were initiated before the empirical experiments
on HSD in this study were completed; therefore, exponentials for
simulations were fit to the published data of Jiang and Abrams (1998) .
The exponential for the average empirical data had a of 24 sec
(with a 15 sec ISI) and reached an asymptote of 34%. An exponential
function that determined the decrement of the synaptic parameter
(Nsite or
Pves) was then developed by successive
iterations until the final amount of depression and the rate of
depression observed in pilot simulations approximately fit the
empirical exponential. In developing these exponential equations, the
parameter for the model release sites that varied between strong and
weak synapses (n or Pves)
was changed to an intermediate value to produce a intermediate strength
synapse. These fit exponential parameters were then used in simulations in which synaptic strength was either initially strong or weak.
All simulations were created and run with Stella Research software
(High Performance Systems, Inc., Hanover, NH) on either a Macintosh G3
or a Pentium II computer. Because of the stochastic nature of these
Monte Carlo simulations, for each model tested, simulations of the
series of 15 action potentials were repeated 80 times, and the results
were averaged.
Statistical analysis. In both empirical and simulation
experiments, the time course of HSD was compared using a repeated
measures ANOVA; data were first normalized to the amplitude of the
initial EPSP; the analyses were conducted on both arc sine transformed data, and on nontransformed data; because the transformation did not
alter the conclusion of these statistical tests, the results presented
are from the nontransformed data. Differences with a p < 0.05 were considered to be significant. Effects of serotonin [5-hydroxytryptamine (5-HT)] were analyzed with a paired t test.
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RESULTS |
HSD occurs independently of initial synaptic strength
The observation of Jiang and Abrams (1998) that the average rates
of HSD were similar among SN-to-MN connections, despite large
differences in initial synaptic strength, appeared to restrict which
mechanisms could account for HSD. We replicated this analysis on a
second set of synapses between SNs and LFS MNs, grouping depression
data according to whether the initial strength of connections was <8
or >8 mV. The results were identical to those of our previous study:
HSD developed independent of synaptic strength (Fig.
2A,B). The primary
question that we addressed in the subsequent simulation studies was
which mechanisms of HSD would produce a time course of synaptic
decrement that was independent of initial synaptic strength. In these
simulation studies, we considered three alternative classes of
mechanisms of HSD: (1) a decrease in the probability of release of
individual vesicles, (2) a decrease in the number of readily releasable
vesicles ("vesicle depletion"), and (3) a decrease in the number of
functional release sites.

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Figure 2.
Strong and weak SN-to-MN synaptic
connections undergo HSD with an identical time course, but differ in
their paired-pulse ratios. A, B, Synapses
were depressed by stimulating siphon SNs in the abdominal ganglion to
fire single action potentials at a 15 sec interstimulus interval (ISI).
A, Examples of HSD at a weak synapse (A1,
initial amplitude = 3.2 mV) and a strong synapse
(A2, initial amplitude = 12.5 mV). EPSPs are shown
for the first, fifth, and eleventh stimuli. B, Group
data on HSD for strong and weak synapses. Synaptic connections are
grouped according to initial EPSP amplitudes as either strong (>8 mV)
or weak (<8 mV) (mean EPSP on trial 1, 22.3 ± 2.1, n = 25, for strong synapses and 5.7 ± 0.3 mV,
n = 10, for weak synapses). There was no
significant difference in the time course of HSD between the two groups
of synapses (repeated measure ANOVA testing interaction between initial
EPSP amplitude and trial number,
F(9,24) = 1.08, p = 0.42). In each experiment, EPSP amplitude is normalized to the
amplitude of the EPSP on trial 1. Mean amplitude of all the EPSPs on
trial 12 was 36 ± 3% of the initial amplitude. C,
The inverse relationship between paired-pulse ratio and initial EPSP
amplitude. Curve is hyperbolic function from Jiang and Abrams (1998) ,
which was fit to empirical paired-pulse ratios for nondepressed SN
synapses. Note, that, in contrast to initially weak synapses, initially
strong synapses show relatively little paired-pulse facilitation,
suggesting that these stronger synapses have higher release site
probabilities. D, At weak synapses, increasing
Ca2+ influx by broadening the SN spike eliminates
paired-pulse facilitation. For control and 4-AP-treated synapses, after
a weak synaptic connection was identified, ganglia were superfused with
high divalent saline, with or without 2 mM 4-AP, for 15 min, and then tested with paired-pulse stimulation. With 4-AP, SN
action potentials broadened 2.9 ± 0.23-fold, and initially weak
connections (<8 mV EPSPs) increased 2.08 ± 0.31-fold (to >8
mV), and displayed no paired-pulse facilitation; the paired-pulse ratio
was significantly different between the two groups
(*p < 0.02). Mean EPSP1 = 4.78 ± 2.17 mV for controls and 10.64 ± 1.53 mV for 4-AP,
respectively. C, D, Each synapse was
tested with paired-pulse stimulation (ISI, 50 msec) only once because
of lability of paired-pulse facilitation at these synapses; thus,
paired-pulse ratios for control and 4-AP were from different synapses
in the same ganglia (n represents the number of
ganglia). (For synapses treated with 4-AP, the strength of the synapse
was measured with a single spike before the application of 4-AP; once
4-AP was applied, the synapses were not activated before the
paired-pulse test.)
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One change that would produce a decrease in the probability of release
of individual vesicles is Ca2+ channel
inactivation. However, Armitage and Siegelbaum (1998) found that during
HSD, the Ca2+ influx through those
channels that mediate transmitter release from SNs does not decrease.
Therefore, to alter release probability, we varied
Pves, which represents the release
probability of individual vesicles and is dependent on the state of the
proteins that mediate release before Ca2+
influx (see Materials and Methods).
Properties that determine initial strength of model
synaptic connections
There are several possible synaptic properties that could explain
the difference in initial synaptic strength between strong and weak
synapses. The possibility that strong synapses differ from weak
synapses simply by having a greater number of synaptic contacts is
inconsistent with the observation of Jiang and Abrams (1998) that
strong and weak synapses differ substantially in the release properties
of individual sites. They found that paired-pulse facilitation was
inversely related to initial synaptic strength (see summary of
relationship in Fig. 2C). In the present study, we confirmed
the finding that stronger synapses (with EPSP amplitudes initially
greater than ~8 mV) usually showed no paired-pulse facilitation, whereas weaker SN synapses showed reliable paired-pulse facilitation. An inverse relationship between paired-pulse ratios and synaptic strength is likely to be a consequence of the initial probabilities of
release at strong synapses being relatively high; if
Psite is already high, there can be
little increase in the release probability during the second paired
spike (Murthy et al., 1997 ). However, additional factors other than
presynaptic release can also cause the paired-pulse ratio to vary
inversely with synaptic strength (Kim and Alger, 2001 ). To
verify that at Aplysia SN-to-MN synapses, the paired-pulse
ratio reflects release probability, we tested the effect on initially
weak synapses of increasing transmitter release. This increase in
transmitter release was achieved by increasing
Ca2+ influx with 2 mM 4-AP, which prolongs the presynaptic action potential. Spike broadening produced a 2.08 ± 0.31-fold increase in EPSP amplitude, which was accompanied by a decrease in the paired-pulse ratio from 2.54 ± 0.60 in control synapses to
0.58 ± 0.14 in 4-AP-treated synapses (p < 0.02; two tailed t test) (Fig. 2D). This
observation confirms the inverse relationship between paired-pulse
facilitation and release probability, consistent with the conclusion
that initially strong synapses, which lack paired-pulse facilitation,
have high release probabilities. This enhanced release probability at
strong synapses must result from an increase in either of two synaptic
properties: the number of readily releasable vesicles (n) or
the initial probability of exocytosis for individual vesicles
(Pves). Therefore for each mechanism
of HSD that we explored, we developed two types of models. In one type,
strong and weak synapses differed in the initial number of readily
releasable vesicles at each release site. In the other type, strong and
weak synapses differed in Pves. The initial difference in either vesicle number or
Pves between simulated strong and weak
synapses was adjusted so that initial differences in simulated synaptic
strength approximated the empirical 2.8-fold difference between the
strong and weak groups of synapses studied by Jiang and Abrams
(1998) .
Vesicle depletion as a mechanism of HSD
In this class of model, we explored the possibility that HSD was a
consequence of depletion of the readily releasable pool of vesicles. At
most of the CNS synapses that have been analyzed, individual
morphological release sites (i.e., active zones) have been found to
release either zero or one vesicle during each action potential (Korn
et al., 1982 ; Redman, 1990 ; Wojtowicz et al., 1994 ); some other central
synapses release a few vesicles, although only during a minority of
spikes (Auger et al., 1998 ). These studies suggest that a mechanism
exists to reduce the likelihood that multiple vesicles are released at
a single site. We therefore included a restriction in most models, so
that once one vesicle fused at a release site, the site became
temporarily refractory to further release for several milliseconds. In
univesicular release models, this refractoriness was absolute; during
an action potential, vesicle fusion was restricted to a single event
per release site. In limited multivesicular release models, after an
initial fusion event, additional vesicle fusions were permitted, but
with a transient reduction in release probability.
To model limited multivesicular release, in which the refractoriness
was partial, we used an estimate from cerebellar synapses of >27% for
the number of release events in which two quanta were released, instead
of one (Auger et al., 1998 ). In these limited multivesicular release
models, immediately after a vesicle fusion event, the calculated total
probability for the release site
(Psite, t) was reduced by a
refractoriness factor (0.66; i.e., to 33% of the normal
Psite, t in the absence of
refractoriness), and this partial refractoriness recovered with a time
constant of 3 msec. [This time constant was somewhat shorter than the
duration of the very transient refractoriness after a vesicle fusion at hippocampal synapses (Stevens and Wang, 1995 ; Dobrunz et al., 1997 ); we
accelerated the recovery from refractoriness to further favor
additional exocytotic events.]
In vesicle depletion models in which strong and weak synapses differed
in their initial number of readily releasable vesicles, strong synapses
depressed more gradually (Fig. 3). This
is because, with release of a given number of vesicles, release sites
with a larger pool of readily releasable vesicles underwent smaller proportional changes in n, resulting in relatively smaller
changes in Psite, than release sites
with fewer releasable vesicles (Fig. 1A). Release
sites with a larger n have a higher probability of releasing
a vesicle during each action potential, which favors depletion;
nevertheless, this higher frequency of release is not sufficient to
outweigh the effect of depletion of a given number of vesicles having a
more modest impact on Psite when there
is a larger releasable pool. In vesicle depletion models in which strong and weak synapses differed in
Pves, synapses with higher probabilities of release underwent substantially more rapid vesicle depletion (Fig. 4). These differences in
the time course of HSD for synapses of different strengths were
observed whether there was univesicular or limited multivesicular
release (Figs. 3, 4). Although limited multivesicular release increased
total vesicle release by ~30%, there was only a modest effect on the
time course of HSD.

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Figure 3.
Simulated HSD as a result of vesicle
depletion when strong and weak synapses differ in their initial number
of readily releasable vesicles. During each simulation,
Pves and Nsite
remained constant. A, B, Univesicular
release, in which after an initial vesicle release event at a release
site, further release was blocked for 5 msec. C,
D, Limited multivesicular release, in which
after an initial release event, Psite,
t was reduced by a factor of 0.66 and then recovered
exponentially with a time constant of 3 msec.
Pves was selected to achieve a
Psite of 0.9 with 10 releasable vesicles
(A) or with 20 releasable vesicles
(B); in C and D,
Pves values were the same as in
A and B, respectively. Average initial
number of quanta released were: for A, 14.8 for 2 vesicles and 35.0 for 9 vesicles; for B, 11.4 for 3 vesicles and 32.6 for 15 vesicles; for C, 15.1 for 2 vesicles and 51.5 for 9 vesicles; and for D, 12.0 for 3 vesicles and 45.9 for 15 vesicles. In other simulation experiments,
Pves values were twofold and fourfold
smaller; with these lower Pves values,
strong and weak synapses still depressed at different rates, although
with the smallest Pves values tested, HSD
was extremely modest because minimal depletion occurred. Note that
strong synapses underwent HSD at a slower rate than weak synapses
[repeated measure ANOVA testing interaction between vesicle number
and trial number: (A)
F(14,145) = 139, p < 0.001; (B)
F(14,145) = 68, p < 0.001; (C)
F(14,145) = 26, p < 0.001; and (D)
F(14,145) = 9.5, p < 0.001]. Sampling interval was 0.01 msec.
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Figure 4.
Simulated HSD as a result of vesicle
depletion when strong and weak synapses differ in the release
probability of individual vesicles. During each simulation,
Pves and Nsite
remained constant. A, Univesicular release.
B, Limited multivesicular release (as in Fig.
3C,D). Pves in
A was selected to achieve a
Psite of 0.25 and 0.75 for
Pves Low and Pves
High, respectively, with six releasable vesicles; the same
Pves values were used in B.
Average initial number of quanta released were: for A,
11.0 for Pves Low and 29.7 for
Pves High; and for B, 11.6 for Pves Low and 37.6 for
Pves High. Strong synapses underwent HSD at
a faster rate than weak synapses [repeated measure ANOVA testing
interaction between vesicle number and trial number:
(A) F(14,145) = 43, p < 0.001; (B)
F(14,145) = 54, p < 0.001]. Sampling interval was 0.01 msec.
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Because only one, or occasionally a few, vesicles were released at each
active zone per presynaptic spike, the overall kinetics of HSD
resulting from vesicle depletion tended to be linear (until the
releasable pool was nearly depleted) (Figs. 3, 4). This was in striking
contrast to actual SN synapses where HSD occurs exponentially (Fig. 2).
One possibility is that the linear time course of HSD observed with
vesicle depletion models was a consequence of the homogeneity of
initial parameters among release sites. To test this possibility, we
created several models with heterogeneous release sites where these
parameters varied widely among sites. In some of these models, a series
of initial values for vesicle number and Pves
were distributed in a regular manner among release sites. In another
heterogeneous parameter model, each release site had one of four
possible initial n values, and
Pves values were assigned randomly to
each release site (Fig. 5). In all of these heterogeneous release site models, the profile of HSD was initially linear, in contrast to the exponential decay of the SN EPSP
observed experimentally.

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Figure 5.
Simulated HSD at synapses with heterogeneous
release site properties. To assess whether the linear time course of
HSD observed with vesicle depletion models was a consequence of the
specific parameters chosen, we created models where these parameters
varied widely among active zones. During each simulation,
Pves and Nsite
remained constant. Each of 10 release sites (of 40 total) had 3, 8, 12, or 20 vesicles initially. Pves was randomly
assigned to each release site at the beginning of each simulation;
Pves varied within a threefold range up to a
maximum value that produced a Psite of 0.9 with nine releasable vesicles. With this and all other vesicle
depletion models tested, HSD developed with a nonexponential time
course. Sampling interval was 0.25 msec.
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In some vesicle depletion models, a mechanism for replenishing the
readily releasable pool was included. We used several approaches to
estimate a time constant for recovery from HSD; the shortest time
constant, ~150 sec, came from analyzing the increase in depressed EPSPs after a rest of 100 sec (see below). Adding replenishment at this
rate to the model had minimal effect on the development of HSD or its
dependence on initial synaptic strength (Fig.
6). This is because within the period in
which the first six stimuli occurred, which equaled only half of the
time constant for recovery, near maximal HSD had already developed.

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Figure 6.
Simulated HSD as a result of vesicle depletion
with replenishment, when strong and weak synapses differ in their
initial number of readily releasable vesicles. Vesicle replenishment
occurred with a time constant of 150 sec [this time constant was
calculated based on the apparent "recovery" of the depressed EPSP
by ~48% after 100 sec of rest (Fig. 13C)]. During
each simulation, Pves and
Nsite remained constant.
Pves was selected to achieve a
Psite of 0.9 with 10 releasable vesicles;
release was univesicular. Average initial number of quanta released
were 15.2 for two vesicles and 35.4 for nine vesicles. Strong synapses
underwent HSD at a slower rate than weak synapses [repeated measure
ANOVA testing interaction between vesicle number and trial number:
F(14,145) = 129, p < 0.001]. Sampling interval was 0.01 msec.
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With unrestricted multivesicular release, vesicle depletion can
produce strength-independent HSD, but only if there are very high
probabilities of release
These depletion models involved either univesicular or limited
multivesicular release because evidence suggests that at central synapses, after release of a single vesicle, the release site is
refractory for some milliseconds (see introductory remarks and
Discussion). We also asked whether depletion could account for the
observed depression at these synapses if there were no refractoriness
after an initial vesicle fused. Unrestricted multivesicular release, in
which release of each vesicle is a completely independent event,
resulted in HSD that was independent of the initial size of the
releasable pool (when Pves was
constant) (Fig. 7B). In contrast, when strong and weak synapses differed in
Pves, the synapses with the smaller
Pves underwent HSD more gradually
(synapses had the same number of readily releasable vesicles; data not
shown). We then determined what release probabilities would be
necessary if a depletion mechanism were responsible for the substantial HSD after the first spike. We adjusted
Pves to achieve an average simulated
synaptic decrement of 35% after the first stimulus, as observed by
Jiang and Abrams (1998) . With a very small releasable pool of four
vesicles, an average Psite of 82% was
required to produce 35% reduction in release after a single stimulus;
higher Psite values were required with
larger releasable pools (Fig. 7A). Thus, even if release
sites exhibited unrestricted multivesicular release (as in the model of
Fig. 7B), vesicle depletion could account for the initial
dramatic HSD only if release site probabilities were atypically high.
At these SN synapses, Psite must
frequently be <0.5 because paired-pulse ratios are frequently >2
(Fig. 2D).

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Figure 7.
Simulated HSD as a result of vesicle
depletion with unrestricted multivesicular release when strong and weak
synapses differ in the initial number of readily releasable vesicles.
In these models, release of each vesicle is an independent event, so
that subsequent release at a release site is unaffected by previous
vesicle release events. A, Relationship between amount
of depression after the first stimulus and
Psite for release sites with different
numbers of releasable vesicles (n = 2, 4, 6, 8, and
10). Broken line corresponds to 35% HSD, the
approximate amount of depression observed by Jiang and Abrams (1998)
after the first stimulus, to indicate the
Psite required, for a given
n, to achieve this amount of HSD. Note that to produce
depression of 35% with the first stimulus,
Psite must be 0.82 for release sites with 4 vesicles and >0.9 for release sites with 6 vesicles.
B, Strong and weak synapses undergo HSD at identical
rates when there is unrestricted multivesicular release.
Pves was selected so that the first stimulus
released 35% of the releasable pool, producing an initial HSD of
35% (with unrestricted release, although
Psite varies as a function of
n, for a given Pves the
percentage of vesicles released is constant).
Psite was 0.82 and 0.99 with 4 and 12 releasable vesicles, respectively. Average initial number of quanta
released were: 56.1 for 4 vesicles and 168.3 for 12 vesicles. There was
no significant difference in the time course of HSD between strong and
weak synapses (repeated measure ANOVA testing interaction between
vesicle number and trial number,
F(14,145) = 0.62, p = 0.84). Sampling interval was 0.01 msec.
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Decrease in the probability of release of individual vesicles
(Pves) as a mechanism of HSD
We next explored two classes of models in which the probability of
release of individual vesicles (Pves)
decreased. In the vesicle depletion models described above, HSD
resulted from reduction in the releasable pool, which was a direct
consequence of the release event itself; in contrast, in the other HSD
models, one synaptic parameter (either
Pves or
Nsite) was decremented during repetitive stimulation according to an exponential equation. In the
case of decreases in Pves, in one
class of model, the decrement of Pves
occurred with each release event; in another class of model,
Pves decreased with each stimulus. To
produce HSD that resembled the empirical exponential, in adjusting the
exponential parameters that determined the decrease in
Pves, we used a simulated synaptic
strength intermediate between that of the strong and weak synapses.
In the case of release-dependent decrement in
Pves, strong and weak synapses
underwent HSD with substantially different time courses. Both for
models in which synaptic strength was determined by differences in the
number of releasable vesicles (Fig.
8A) and for models in
which strength was determined by differences in initial
Pves (Fig. 8B), HSD
developed more rapidly at stronger synapses. Stronger synapses, which
had a greater Psite, underwent more
rapid depression because the rate of change in
Pves depended on the frequency of
vesicle release. The final plateau reached tended to be slightly lower
for weak synapses; this is because for a given percentage decrease in
Pves,
Psite decreases more steeply when
initial total release probability is small (Fig. 1B,C).

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Figure 8.
Simulated HSD as a result of
release-dependent decrement of Pves. In
these two models, Pves at each release site
decremented exponentially each time there was a release event at that
site. During each simulation, n and
Nsite remained constant. In
A, strong and weak synapses differed in the number of
releasable vesicles. In B, strong and weak synapses
differed in the initial Pves. In
A, Pves was selected to
achieve a Psite of 0.9 with 10 (A1) or 20 (A2) releasable vesicles. In
B, Pves was selected to
achieve a Psite of 0.25 and 0.75 for
Pves Low and Pves High,
respectively, with six (B1) or eight (B2)
releasable vesicles; in this figure and Figures 9-11, we chose the
exponential parameters for an intermediate strength synapse to
approximately match the empirical HSD; nevertheless, the simulated HSD
curves for strong and weak synapses differed from one another, and from
the expected exponential because the decrement in
Pves occurred as a function of synaptic
strength. [Because these studies were initiated before the analysis of
the data shown in Figure 1, all simulations were fit to the earlier
published data of Jiang and Abrams (1998) .] Average initial number of
quanta released were: for A1, 12.4 for 2 vesicles and
35.0 for 9 vesicles; for A2, 9.6 for 3 vesicles and 27.5 for 12 vesicles; for B1, 6.6 for
Pves Low and 22.7 for
Pves High; and for B2, 10.0 for Pves Low and 30.3 for
Pves High. The time course of HSD was
significantly different between strong and weak synapses [repeated
measure ANOVA testing interaction between vesicle number and trial
number: (A1) F(14,145) = 16, p < 0.001; (A2)
F(14,145) = 13, p < 0.001; repeated measure ANOVA testing interaction between
Pves and trial number: (B1)
F(14,145) = 11, p < 0.001; and (B2)
F(14,145) = 16, p < 0.001]. Sampling interval was 0.25 msec.
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In the case of stimulus-dependent decrement in
Pves, weak synapses depressed more
rapidly and to a lower plateau, whether initial synaptic strength was
determined by differences in Pves or
in the size of the releasable pool of vesicles (Fig.
9). When strong and weak synapses differ
in vesicle number, the shape of the curves for
Psite as a function of
Pves varies with the number of docked
vesicles. As Pves decreases, synapses
with a larger number of docked vesicles (and a larger
Psite) experience a relatively smaller
decrease in Psite than synapses with
fewer docked vesicles (Fig. 1B,C). When strong and
weak synapses differ in their initial Pves, the relative change in total
probability depends on the initial
Pves caused by the nonlinear shape of
the Psite versus Pves relationship; therefore
depression is greater for synapses with a lower initial
Pves (Fig.
1B,C).

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Figure 9.
Simulated HSD as a result of
stimulus-dependent decrement of Pves. In
these models, Pves at each release site
decremented exponentially each time there was a presynaptic action
potential. During each simulation, n and
Nsite remained constant. In
A, strong and weak synapses differed in the number of
releasable vesicles. In B, strong and weak synapses
differed in the initial Pves. In
A, Pves was selected to
achieve a Psite of 0.9 with 10 (A1) or 20 (A2) releasable vesicles; in
B, Pves was selected to
achieve a Psite of 0.25 and 0.75 for
Pves Low and Pves
High, respectively, with 6 (B1) or 8 (B2)
releasable vesicles. Average initial number of quanta released were:
for A1, 12.1 for 2 vesicles and 34.5 for 9 vesicles; for
A2, 9.5 for 3 vesicles and 28.1 for 12 vesicles; for
B1, 10.1 for Pves Low and
30.4 for Pves High; and for
B2, 10.5 for Pves Low and
30.0 for Pves High. The time course of HSD
was significantly different between strong and weak synapses [repeated
measure ANOVA testing interaction between vesicle number and trial
number: (A1) F(14,145) = 9.6, p < 0.001; (A2)
F(14,145) = 2.0, p = 0.021; repeated measure ANOVA testing interaction between
Pves and trial number: (B1)
F(14,145) = 3.3, p < 0.001; and (B2)
F(14,145) = 5.2, p < 0.001]. Sampling interval was 0.25 msec.
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It was initially surprising that despite our efforts to approximate the
empirical HSD curves by selecting an appropriate time constant for the
decrement of Pves, the simulated
curves for strong and weak synapses consistently diverged from one
another, whether this decrement was a consequence of the release event
or the presynaptic spike. This failure to obtain similar HSD for strong
and weak synapses, even when fitting the decrementing parameter to the empirical data, led to the conclusion that decrement of
Pves cannot account for synaptic
depression at these SN synapses.
Stimulus-dependent decrease in the number of functionally active
release sites provides a synaptic strength-independent mechanism of
HSD
In these models, we explored the possibility that inactivation of
the exocytosis mechanism at release sites could underlie HSD.
Inactivation of individual release sites was triggered either by
release events or by action potentials according to an exponential function that approximately matched the empirical exponential for HSD.
When release site inactivation was driven by release events, strong and
weak synapses decremented with different time courses, whether the
difference in initial synaptic strength was explained by differences in
Pves or in n (Fig.
10). This was because strong synapses,
which had a greater Psite, underwent
release-dependent inactivation of release sites more frequently than
weaker synapses. In contrast, when inactivation of release sites
occurred in a stimulus dependent manner, the HSD process was completely
independent of synaptic strength; strong and weak synapses decremented
with the identical time course (Fig.
11).

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Figure 10.
Simulated HSD as a result of
release-dependent decrement in release site number. In these models,
release sites had a fixed probability of switching to an inactive state
after a release event. During each simulation, n and
Pves remained constant. In A,
strong and weak synapses differed in the number of releasable vesicles.
In B, strong and weak synapses differed in the initial
Pves. In A,
Pves was selected to achieve a
Psite of 0.9 with 10 releasable vesicles; in
B, Pves was selected to
achieve a Psite of 0.25 and 0.75 for
Pves Low and Pves
High, respectively, with 8 releasable vesicles. Average initial number
of quanta released were: for A, 18.0 for two vesicles
and 39.0 for nine vesicles; for B, 10.1 for
Pves Low and 29.4 for
Pves High. The time course of HSD was
significantly different between strong and weak synapses;
[(A) repeated measure ANOVA testing interaction
between vesicle number and trial number:
F(14,145) = 18, p < 0.001; (B) repeated measure ANOVA testing
interaction between Pves and trial number:
F(14,145) = 12, p < 0.001]. Sampling interval was 0.25 msec.
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Figure 11.
Simulated HSD as a result of
stimulus-dependent decrement in release site number. In these models,
Nsite decremented exponentially with each
presynaptic action potential. During each simulation, n
and Pves remained constant. In
A, strong and weak synapses differed in the number of
releasable vesicles. In B, strong and weak synapses
differed in the initial Pves. In
A, Pves was selected to
achieve a Psite of 0.9 with 10 releasable
vesicles; in B, Pves was
selected to achieve a Psite of 0.25 and 0.75 for Pves Low and
Pves High, respectively, with 8 releasable
vesicles. Average initial number of quanta released were: for
A, 11.8 for two vesicles and 34.2 for nine vesicles; for
B, 9.6 for Pves Low and 29.2 for Pves High. There was no significant
difference in the time course of HSD between strong and weak synapses;
[(A) repeated measure ANOVA testing interaction
between vesicle number and trial number:
F(14,145) = 1.5, p = 0.13. (B) repeated measure ANOVA testing
interaction between Pves and trial number:
F(14,145) = 1.3, p = 0.19]. Sampling interval was 0.25 msec.
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The development of HSD at SN-to-MN synapses in the ganglion is
also unaffected by increasing transmitter release
A major conclusion of these simulations was that HSD that was
independent of synaptic strength could not result from any alteration in synaptic properties that was initiated by vesicle release. This
implies that processes underlying synaptic strength-independent HSD at
these SN synapses must be activated by the presynaptic action
potentials directly rather than by release events. To directly test the
prediction that the development of HSD is unaffected by the magnitude
of release, we asked whether the rate of HSD would be increased when
Ca2+ influx was augmented by broadening
the presynaptic action potential. A moderate increase in the duration
of the normal action potential produces a moderate increase in the
SN-to-MN EPSP as demonstrated by studies using
K+ channel blockers (Hochner et al.,
1986a ; Sugita et al., 1997 ). We used a low concentration of the
K+ channel blocker 3,4-DAP (5 µM) to broaden the SN action potential approximately
threefold. No comparisons were made within SNs; given the fivefold to
sixfold variability in SN-to-MN synaptic connections, it is therefore
not possible to accurately assess the increase in synaptic strength
that occurred with this amount of spike broadening. On average, across
preparations, EPSP amplitude increased ~50%; this is probably an
underestimate because Sugita et al. (1997) observed a similar increase
in EPSP amplitude with twofold broadening of the SN spike produced by
4-AP. As predicted, in our experiments with 3,4-DAP, the broadened
spikes and increased transmitter release were not accompanied by a
detectable change in the rate of HSD (Fig.
12).

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Figure 12.
Increasing release by broadening the SN action
potential with the K+ channel blocker 3,4-DAP does
not affect the rate of HSD. Superfusing abdominal ganglia with 5 µM 3,4-DAP before and during experiments resulted in an
~2.95-fold increase in the duration of the SN action potential.
Although no comparisons were made within preparations, on average, EPSP
amplitude increased ~50% in 3,4-DAP-treated ganglia
(n = 17) as compared with in control ganglia
(n = 12). [This is a smaller increase than
expected (Sugita et al., 1997 ); however, given the wide (more than
sixfold) range of initial EPSP amplitudes, it is not possible to obtain
an accurate measure of the effect of spike broadening without
within-cell comparisons.] Note that with broadened SN spikes, there
was no significant difference in the rate of HSD (repeated measure
ANOVA testing interaction between 3,4-DAP and trial number:
F(9,11) = 1.1, p = 0.45).
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Repetitive stimulation of SNs at low frequencies results in
long-term synaptic depression that does not recover appreciably with
rest
Both the simulation studies and these spike-broadening experiments
clearly demonstrated that HSD does not develop as a consequence of the
exocytosis event itself, and is not caused by vesicle depletion. If HSD
at these SN synapses represents a inactivation of release sites rather
than an exhaustion of the exocytosis mechanism, does synaptic strength
gradually recover after repetitive stimulation? In other words, if
release sites are "turned off," must they be actually "turned
back on," or does transmitter release automatically recover with rest?
It is generally believed that SN synapses recover from HSD when rested
because it has been consistently observed that depressed EPSP
amplitudes recover partially several minutes after cessation of
repetitive stimulation (Byrne, 1982 ). We reexamined this issue, investigating whether depressed SN synapses would fully recover after
substantially longer rest periods (as would be predicted if depression
were simply an exhaustion phenomenon). In preliminary experiments, we
observed that a rest period of 10 min did not result in substantial
recovery of the depressed EPSP. Similarly, data of Armitage and
Siegelbaum (1998) on SN-to-MN synapses in culture revealed no
significant recovery from HSD after 10 min of rest. We therefore
conducted experiments with a substantially longer rest period, waiting
40 min after a series of 15 stimuli. Surprisingly, when tested after
the 40 min rest, synapses still showed no detectable recovery (Fig.
13A). The decreased
amplitude of the SN EPSPs after 40 min did not result from a general
deterioration of the recording. If recording conditions deteriorated,
causing EPSPs to appear smaller, but HSD recovered, we would expect to induce normal HSD after a rest; however, because additional HSD could
not be induced, we conclude that the synapses remained in their fully
depressed state. Moreover, control synapses that were allowed to rest
for a longer period of time were capable of undergoing normal HSD,
indicating that the absence of HSD in these ganglia after 40 min in
culture medium, is not caused by deterioration of the ability of
synapses to undergo plasticity (Fig. 13C). These observations suggest that the increase in EPSP amplitude typically observed after a short rest (Fig. 13B) reflects either a
form of transient facilitation or transient recovery (which is not
maintained), initiated by the repetitive stimulation during the HSD
protocol.

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Figure 13.
Limited recovery of depressed SN
synaptic connections with rest. A, SN synaptic
connections that were rested 40 min after induction of HSD. SNs were
activated 15 times. After the 15th stimulus, synapses were rested 40 min and again stimulated repetitively. Note, there was no apparent
recovery of depressed SN connections. Note also that no additional HSD
was induced by the subsequent stimulation after rest. B,
After HSD develops at SN synapses, EPSPs show partial recovery after a
100 sec period of rest. After the 15th stimulus, synapses were rested
100 sec and then SNs were stimulated once more. C,
Prolonged incubation in culture medium does not interfere with the
expression of HSD at SN synapses. Abdominal ganglia were superfused for
2 hr in culture medium before SN synapses were stimulated 15 times. In
all three protocols during the series of 15 stimuli, the ISI was 15 sec. [Although the increase in EPSP amplitude after 100 sec of rest in
B does not represent actual recovery of the synapse to
the initial naive state, we used this percentage of recovery as an
estimate of the time constant of replenishment for models that included
vesicle recycling (Fig. 6).]
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Observations of Byrne (1982) that very short-term recovery from HSD at
these SN synapses after <2 min of rest was more dramatic when HSD was
produced by higher frequencies of stimulation suggested that
Ca2+ influx may accelerate recovery from
depression. Consistent with this possibility, Eliot et al. (1994) found
that SNs in culture that were extracellularly stimulated exhibited
somewhat more profound HSD than impaled SNs, which presumably had
elevated intracellular Ca2+ levels. At
cerebellar synapses, recovery from HSD is also stimulated by activity
and intracellular Ca2+ (Dittman and
Regehr, 1998 ). With longer ISIs, residual free
Ca2+ in varicosities completely decays
before the next action potential (Armitage and Siegelbaum,1998 , their
Fig. 5); indeed Gingrich and Byrne (1985) found that activity-dependent
recovery was negligible at these SN synapses with an ISI of 30 sec.
Because we used a relatively long ISI (15 sec), we omitted this
Ca2+-dependent recovery process from the
simulations. However, the lack of recovery observed in the experiments
of Figure 13 after rest periods of >10 min suggests that the
previously reported activity-dependent "recovery" at these synapses
may actually represent transient, short-term facilitation, rather than
true reversal of HSD.
Serotonin-induced facilitation is mediated primarily by an increase
in Psite rather than a change in
Nsite
Having obtained evidence that HSD involves a decrease in
Nsite, which presumably involves the
switching of release sites to a functionally inactive state, we asked
whether facilitation by 5-HT of SN synapses is also primarily mediated
by a change in Nsite or whether it
involves an increase in Psite.
Specifically, we investigated whether there was a change in
Psite by examining the paired-pulse
ratio during 5-HT-induced synaptic facilitation. We focused on
facilitation of nondepressed synapses, because facilitation of
previously depressed synapses involves multiple processes, including
reversal of synaptic depression (Hochner et al., 1986b ; Byrne and
Kandel, 1996 ) with a possible increase in
Nsite. With exposure to 5-HT, SN
synapses showed a more than threefold decrease in their paired-pulse
ratio (PPR = 0.63 ± 0.08 in 5-HT vs 2.13 ± 0.26 in
control synapses; p < 0.002; two-tailed t
test) (Fig. 14), suggesting a large
increase in the release probability with the first paired spike.
Because the facilitation observed in these experiments was 92 ± 16%, this apparent increase in Psite
should be sufficient to account for the observed increase in synaptic strength.

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Figure 14.
Facilitation by 5-HT is accompanied by a large
decrease in the paired-pulse ratio. Within each ganglion
(n = 8), paired-pulse ratios were measured at
SN-to-MN synapses in control saline and in the presence of 20 µM 5-HT. Because the paired-pulse ratio decrements
sharply with testing (Jiang and Abrams, 1998 ), the paired-pulse ratio
was tested only once per synapse; comparisons were made between
separate synapses recorded either in control saline or in 5-HT saline
within each ganglion. Control measurements were made before
measurements in 5-HT. Each synapse was first tested with a single
stimulus and then tested 15 min later with paired stimuli. For
5-HT-induced facilitation, superfusion with 20 µM 5-HT
was begun 2.5 min before the paired test. A,
Facilitation by 5-HT. The ratio of the EPSP produced by the first of
the two paired stimuli (in either 5-HT or control saline)
(EPSPpost) to the initial EPSP recorded 15 min
before the paired test (EPSPinit). B,
Paired-pulse ratios measured in control saline or 5-HT saline. Paired
stimuli were at a 50 msec ISI. Initial EPSP amplitudes (recorded in
control saline) were 8.53 ± 1.6 mV for synapses that were
subsequently tested in control saline and 9.74 ± 2.7 mV for
synapses that were subsequently tested in 5-HT (difference not
significant). Both 5-HT-induced facilitation and the decrease in the
paired-pulse ratio with 5-HT exposure were highly significant
(**p < 0.002; two-tailed paired t
test).
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DISCUSSION |
Activity-dependent switching off of release sites can explain
strength-independent HSD
Although HSD at Aplysia SN synapses was first
demonstrated to be a presynaptic phenomenon >25 years ago (Castellucci
and Kandel, 1974 ), the underlying mechanism is still not understood.
Recently at these SN synapses, Jiang and Abrams (1998) found that,
whereas synaptic strength was positively correlated with release
probability, as assessed by the paired-pulse ratio, development of HSD
was independent of synaptic strength. This observation suggested that HSD does not primarily result from changes in the size of the releasable pool; if, on the contrary, HSD were to involve vesicle depletion, we predicted that synapses with larger pools of readily releasable vesicles would be less affected by depletion of a given number of vesicles than synapses with smaller releasable pools.
We tested this prediction in the present study using computer
simulations of Aplysia SN synapses; we also used this
approach to evaluate a variety of other possible mechanisms of HSD,
including changes in the probability |