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Volume 17, Number 20,
Issue of October 15, 1997
pp. 7926-7940
Copyright ©1997 Society for Neuroscience
A Quantitative Description of Short-Term Plasticity at Excitatory
Synapses in Layer 2/3 of Rat Primary Visual Cortex
Juan A. Varela,
Kamal Sen,
Jay Gibson,
Joshua Fost,
L. F. Abbott, and
Sacha B. Nelson
Department of Biology and Center for Complex Systems, Brandeis
University, Waltham, Massachusetts 02254
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
FOOTNOTES
REFERENCES
ABSTRACT
Cortical synapses exhibit several forms of short-term plasticity,
but the contribution of this plasticity to visual response dynamics is
unknown. In part, this is because the simple patterns of stimulation
used to probe plasticity in vitro do not correspond to
patterns of activity that occur in vivo. We have
developed a method of quantitatively characterizing short-term
plasticity at cortical synapses that permits prediction of responses to
arbitrary patterns of stimulation. Synaptic responses were recorded
intracellularly as EPSCs and extracellularly as local field potentials
in layer 2/3 of rat primary visual cortical slices during stimulation
of layer 4 with trains of electrical stimuli containing random mixtures of frequencies. Responses exhibited complex dynamics that were well
described by a simple three-component model consisting of facilitation
and two forms of depression, a stronger form that decayed exponentially
with a time constant of several hundred milliseconds and a weaker, but
more persistent, form that decayed with a time constant of several
seconds. Parameters obtained from fits to one train were used to
predict accurately responses to other random and constant frequency
trains. Control experiments revealed that depression was not caused by
a decrease in the effectiveness of extracellular stimulation or by a
buildup of inhibition. Pharmacological manipulations of transmitter
release and postsynaptic sensitivity suggested that both forms of
depression are mediated presynaptically. These results indicate that
firing evoked by visual stimuli is likely to cause significant
depression at cortical synapses. Hence synaptic depression may be an
important determinant of the temporal features of visual cortical
responses.
Key words:
facilitation;
depression;
temporal integration;
temporal
filtering;
contrast adaptation;
presynaptic;
neocortex;
nonlinearity;
EPSC;
field potential
INTRODUCTION
Several decades of concerted effort
have yielded important insights into the mechanisms that underlie
spatial-filtering properties of primary visual cortical (V1) neurons
(for review, see Shapley and Lennie, 1985 ; Ferster, 1994 ; DeAngelis et
al., 1995 ) but have revealed much less about the mechanisms that
underlie their temporal-filtering properties. Temporal-filtering
properties are important because of their role in adaptation and gain
control (Bonds, 1991 ; Nelson, 1991a ; Abbott et al., 1997 ), velocity
tuning (Orban et al., 1985 ), and direction selectivity (Reid et al.,
1991 ; Jagadeesh et al., 1993 ). Recently, we proposed that some of the
specific temporal-filtering properties of visual cortical neurons
reflect short-term plasticity at cortical synapses (Abbott et al.,
1997 ; Nelson et al., 1997 ; for related ideas, see Grossberg, 1984 ;
Thomson and Deuchars, 1994 ; Finlayson and Cynader, 1995 ; Fisher et al.,
1997 ; Lisman, 1997 ; Tsodyks and Markram, 1997 ). Short-term plasticity
at neocortical synapses is typically studied by applying pairs or brief
constant frequency trains of electrical impulses (Sutor and Hablitz,
1989 ; Thomson and West, 1993 ; Thomson et al., 1993 ; Metherate and Ashe, 1994 ; Castro-Alamancos and Connors, 1996 ; Hess et al., 1996 ; Stratford et al., 1996 ). This approach has been invaluable for understanding the
mechanisms of short-term plasticity but does not provide a general
means of predicting responses during more complex patterns of activity,
such as those that occur in vivo. Developing such a method
is important for understanding the role these synaptic processes play
in the sensory responses of cortical neurons.
Single-unit studies have revealed that the temporal properties of V1
responses can differ substantially from those of neurons in the lateral
geniculate nucleus (LGN). In general, V1 neurons respond to lower
temporal frequencies and slower velocities than do LGN neurons (Movshon
et al., 1978 ; Orban et al., 1985 ; Hawken et al., 1996 ). However, unlike
linear low-pass filters, cortical neurons typically respond briskly to
transients that contain high-frequency components, although they often
have smaller sustained responses (Kulikowski et al., 1979 ). In
addition, the responses of cortical neurons show much more pronounced
adaptation during prolonged stimulation than do LGN neurons. Rapid
adaptation effects, recovering over the course of a fraction of a
second (Bonds, 1991 ; Nelson, 1991a ), and more prolonged adaptation
effects, recovering over the course of many seconds (Movshon and
Lennie, 1979 ; Ohzawa et al., 1982 ), have been observed. Finally,
heterogeneity of temporal-filtering properties across the receptive
fields of some cortical neurons may play an important role in
generating direction selectivity (Reid et al., 1991 ; Jagadeesh et al.,
1993 ).
Classical studies of synaptic transmission at the neuromuscular
junction identified short-term enhancement and depression occurring
over several time scales (for review, see Magleby, 1987 ; Zucker, 1989 ;
Fisher et al., 1997 ). Enhancement has been particularly well
characterized. Four temporally distinct components of response enhancement (facilitation 1, facilitation 2, augmentation, and potentiation) have been identified first at neuromuscular junctions and
later at central synapses and have been shown to result from enhanced
release of neurotransmitter that persists after presynaptic calcium
entry (Swandulla et al., 1991 ; Regehr et al., 1994 ).
The time course and mechanisms underlying depression have not been as
completely characterized, but depression is believed to result from
depletion of a readily releasable pool of neurotransmitter (Betz, 1970 ;
Kusano and Landau, 1975 ). Depression seems to be a particularly
prominent feature of transmission at neocortical synapses (Deisz and
Prince, 1989 ; Nelson and Smetters, 1993 ; Thomson et al., 1993 ; Markram
and Tsodyks, 1996 ). Depression and facilitation can coexist, and the
balance between the two depends strongly on quantal content. Conditions
under which larger numbers of quanta are released per action potential
(or probability of release is high) favor depression, whereas
conditions under which smaller numbers of quanta are released per
action potential (or probability of release is low) favor facilitation
(for review, see Zucker, 1989 ). The objective of the present study was
to measure the temporal transfer characteristics of cortical synapses
in sufficient detail to permit prediction of responses to arbitrary
patterns of stimulation.
MATERIALS AND METHODS
Coronal slices containing primary visual cortex were obtained
from Long Evans rats, age postnatal days 14-40. Animals were deeply
anesthetized with ketamine (100 mg/kg) and acepromazine (10 mg/kg) or
with pentobarbital (35 mg/kg) and decapitated, and their brains were
quickly removed and placed in chilled (5°C) artificial CSF (ACSF).
Slices of 400 µm thickness were cut on a vibratome. During recording,
slices were transilluminated, permitting visualization of the location
of primary visual cortex and the boundaries between layers 2/3 and 4 (Domenici et al., 1995 ).
Slices were maintained at room temperature on semipermeable membranes
(Falcon 3090) covered by a thin layer of ACSF continuously oxygenated
with 95% O2/5% CO2. They were
transferred one at a time to a submerged chamber mounted on a
fixed-stage upright microscope (Nikon Optiphot UD) and were slowly
warmed to 34-35°C. Slices were equilibrated for 1-2 hr before
recording and remained viable for up to 16 hr. Slices were perfused
with warmed, oxygenated ACSF at a rate of 2-3 ml/min. For obtaining
visually guided whole-cell recordings, slices were illuminated
obliquely through an infrared filter and viewed with standard optics
using a 40× long working-distance water immersion objective. The
resulting image was displayed on a video monitor using a CCD camera.
Solutions. ACSF contained (in mM): 126 NaCl, 3 KCl, 1.25 NaH2PO4, 10 dextrose, 20 NaHCO3, 2 MgSO4, and 2.0 CaCl2. pH was 7.4 when saturated with 95%
O2/5% CO2, and osmolarity was
305-310 mOsm.
Pipettes were pulled from 1.0-mm-outer diameter thin-walled capillary
tubing (Warner Instruments) on a Flaming-Brown horizontal puller
(Sutter) and were filled with (in mM): 130 potassium
methylsulfonate, 10 KCl, 10 HEPES, 0.5 EGTA, 2-3 Na2ATP,
0-1 GTP, and 2 MgSO4. Osmolarity of the internal solution
was 280-290 mOsm, and pH was 7.2-7.4.
Electrophysiological techniques. Whole-cell recording
pipette resistances were 4-8 M in the bath. Voltage-clamp
recordings were performed using an Axopatch 1D (Axon Instruments). Seal
resistances were 1-10 G . Unless stated otherwise, cells were
voltage-clamped at 70 mV. Series resistances (5-20 M ) were
uncompensated. Voltages were not corrected for liquid junction
potentials. EPSCs were judged to be monosynaptic if they occurred with
short (1.5-4 msec) and constant (jitter <1 msec) latency that did not
change with small changes in stimulus strength. EPSCs were included
only if additional inhibitory components were not present after
depolarization (40-50 mV above rest).
Field potential recordings were obtained from low resistance (1-2
M ) saline-filled pipettes. Biphasic electrical stimuli (80 µsec in
duration; 10-150 µA) were delivered via saline-filled pipettes.
Electrode placements were performed under low power using
transillumination.
Signals were filtered at 1-1000 Hz (field potentials) or DC 2 kHz
(EPSCs) and digitized at 5 kHz (Instrutech). Data were collected and
analyzed using IGOR (Wavemetrics, Oswego, OR), Pulse Control (Herrington et al., 1995 ), and additional fitting routines implemented in the C programming language.
Data analysis. Response magnitudes were measured as peak
amplitudes within a 1 msec window. Amplitudes, rather than slopes of
field potentials, were measured because in many cases the initial slope
was contaminated by a nonsynaptic response (Hess et al., 1996 ). We were
concerned initially that truncation of the peak response by overlapping
inhibition might significantly influence the kinetics of the measured
plasticity. For example, apparent depression of excitatory responses
could actually reflect potentiation of inhibition. Several observations
indicate that this was not the case. (1) In five slices in which the
synaptic and nonsynaptic responses were fully separated, we confirmed
that measurements of initial slope and peak amplitude were well
correlated (mean Pearson correlation coefficient, r = 0.93l). (2) In four slices, we confirmed that similar synaptic
depression was observed in the presence of 20 µM
bicuculline (see Fig. 2C). (3) Previous study of
monosynaptic IPSCs in neocortex (Deisz and Prince, 1989 ) and our own
preliminary observations (Song et al., 1997 ) indicate that during
repeated stimulation IPSCs also depress, rather than potentiate. (4)
Nearly identical depression was observed in recordings of field
potentials and of EPSCs. For the intracellular recordings, we used much
lower amplitude stimuli and confirmed that no IPSCs were present.
Fig. 2.
Characterization of field potential components.
A, Responses to single stimuli recorded under control
conditions, after application of 10 µM CNQX, and after
application of 1 µM TTX. Three traces for
each condition are shown. A presumed antidromic response (initial negative deflection after the stimulus artifact) is blocked by application of TTX but persists during application of CNQX. The synaptic response is abolished by either CNQX or TTX. B,
Amplitudes of antidromic and synaptic response components during a 20 Hz constant frequency train. Error bars are SDs over five repetitions. Top traces are superimposed average responses to each
stimulus in the train. Depression is apparent in the synaptic but not
in the antidromic response. C, Depression of isolated
AMPA responses during 20 Hz stimulation. GABAA- and
NMDA-dependent responses were blocked by application of BMI (20 µM) and MK-801 (2 µM). Plotted
points are the mean responses (error bars indicate SD over 5 repetitions) normalized to the initial response in each experiment and averaged across separate experiments
(n = 4, AMPA only; n = 28, control).
[View Larger Version of this Image (17K GIF file)]
Initial attempts to extract the underlying dynamics of these responses
were based on the synaptic decoding method of Sen et al. (1996) . This
technique is quite generic and makes few assumptions about the temporal
profile of short-term changes in synaptic strength. Because our goal
was to predict synaptic responses accurately with as concise a
description as possible, we subsequently adopted a simpler, but
somewhat less generic, model in which changes in response amplitude
(A) were assumed to result from the product of an
initial amplitude (A0) and dynamic
variables representing facilitation and depression. The choice of this
type of model was guided by our observation that kernels obtained using
the synaptic decoding method were usually well fit by exponentials. A
similar class of models has been used previously to describe short-term
plasticity at the neuromuscular junction (Liley and North, 1952 ;
Magleby and Zengel, 1976 ).
Response amplitudes were fit with several related models that differed
in the number of facilitation (zero or one) and depression (one to
three) factors. The most complex form of the model contained a single
facilitation factor (F) and three depression factors (D1, D2,
and D3):
|
(1)
|
For other less complete variants, one or more of the
facilitation and depression factors were omitted (i.e., were
constrained to be 1):
|
(2)
|
|
(3)
|
|
(4)
|
|
(5)
|
|
(6)
|
Dynamic variables representing depression (D)
were constrained to be 1 and depended on the stimulus pattern
in the following way: after each stimulus in the train, D
was multiplied by a constant factor (d) representing the
amount of depression per presynaptic action potential:
|
(7)
|
Between stimuli, D recovered exponentially back
toward 1 with first-order kinetics and time constant
D:
|
(8)
|
Accumulation of depression results when the interval between
presynaptic action potentials is less than that required for recovery.
The different components of depression
(D1, D2,
and D3) had different constant factors
(d1, d2,
and d3) and time constants ( d1, d2, and
d3).
The dynamic variable F representing facilitation was
constrained to be 1. After each stimulus, a constant,
f ( 0), representing the amount of facilitation per
presynaptic action potential was added to F, and between
stimuli, F recovered exponentially back toward 1:
|
(9)
|
|
(10)
|
A model of facilitation in which F was updated
additively, rather than multiplicatively, was found to provide a
superior fit to the data, especially at high stimulus frequencies where multiplicative facilitation can lead to amplitudes that increase without bound.
All of the data were fit with the two-component depression model
defined by Equation 4 and the complete form of the model defined by
Equation 1. Most of the data were also fit with the model variant
containing two depression components and one facilitation component
(Eq. 5). This three-component model, which included facilitation, was
used for all of the fits illustrated (see Figs. 3, 4, 8, 10, 11, 12, 13),
because it was the simplest form of the model that adequately described
data obtained under conditions of high and low probability of release
(see Fig. 7). For comparing data across different recordings obtained
under control conditions (see Fig. 9), the two-component model was used
(Eq. 4), because it adequately described that data and had fewer
parameters.
Fig. 3.
Measured and predicted short-term
plasticity of EPSCs. A, Average amplitudes
(lines; n = 10 repetitions) of EPSCs
recorded in a layer 2/3 pyramidal neuron in response to low-amplitude
stimulation of layer 4. Stimulus train was Poisson-distributed with a
mean rate of 4 Hz. Dots are the best fit of a
three-component model. B, The fraction of each measured
response amplitude by which the model prediction differed from the
data. C, D, Measured
(lines) and predicted (dots) responses to
constant frequency trains at 5 Hz (C) and 10 Hz
(D). These predictions were generated from the
fit of the model to the response to the Poisson-distributed train in
A. E, Parameters of the best fit of the
model. Each stimulus caused facilitation
(F), a stronger but more rapidly recovering form of depression (D1), and a weaker
but more persistent form of depression
(D2). Curves
illustrate the amplitude and time course of facilitation and both forms
of depression that would follow an isolated stimulus. The intercepts of
each curve with the y-axis indicate the
initial magnitude of the facilitation and depression (see Eqs. 7-10).
Between stimuli, facilitation and depression factors decayed
toward 1 with first-order kinetics (time constants
indicated).
[View Larger Version of this Image (34K GIF file)]
Fig. 4.
Measured and predicted short-term
plasticity of field potentials. Conventions are described in Figure 3.
A, Average amplitudes (lines;
n = 5 repetitions) of field potentials recorded in
layer 2/3 in response to Poisson-distributed stimulus train (mean, 4 Hz) of layer 4 and the best fit of three-component model
(dots). B, The fraction of each measured
response amplitude by which the fit of the model differs from the data.
The average error of 0.7 ± 1.0% was not significantly different
from zero. The fit accounts for >97% of the variation in the
amplitude of the data. C, D, Measured
(lines) and predicted (dots) responses to
constant frequency trains at 5 Hz (C) and 10 Hz
(D). E, Parameters of the best fit of the model.
[View Larger Version of this Image (28K GIF file)]
Fig. 8.
Sensitivity of fit errors to
variation in parameters. Field potential responses recorded during a
Poisson-distributed train (mean rate, 4 Hz) were fit with a
three-component model. A, B, Individual
parameters were varied about the best fit values one at a time and
plotted against the resulting rms error. For each parameter, the range
of values shown is that producing rms errors of up to 10%. A greater
range was tested. C, D, Pairs of
parameters were varied simultaneously over ranges of values that
produced increases in the rms error of 10% above optimal (i.e., from
5.2 to 15.2%). The resulting error surface is shaded
such that white indicates the region of lowest error,
black indicates regions of highest error, and
grays indicate regions of intermediate error. Adjacent
regions represent rms error increases of 1%.
[View Larger Version of this Image (83K GIF file)]
Fig. 10.
Partial postsynaptic blockade with
CNQX does not alter short-term plasticity. Conventions are described in
Figure 3. Measured field potential responses (lines) and
best fit of the model (dots) are given before
(A) and after (B)
application of 0.5 µM CNQX. Inset, Average
responses to the first stimulus in the train under both conditions.
Note that responses in A and B show
similar overall depression and seem to be essentially scaled versions
of one another. C, Parameters of the fit are extremely
similar. Control and CNQX time constants are 113 and 114 msec for
F, 640 and 631 msec for D1, and 5723 and 5723 msec for
D2, respectively.
[View Larger Version of this Image (37K GIF file)]
Fig. 11.
Blockade of AMPA receptor
desensitization with cyclothiazide does not alter short-term
plasticity. Conventions are described in Figure 3. Measured field
potential responses (lines) and best fit of the model
(dots) are given before (A) and
after (B) application of cyclothiazide.
Inset, Average responses to the first stimulus in the
train under both conditions. Note that although cyclothiazide clearly
prolonged the duration and slightly increased the amplitude of
individual responses (inset), there was little effect on
the buildup of depression. C, Parameters of the fit are
extremely similar. Control and cyclothiazide time constants are 242 and 252 msec for F, 508 and 648 msec for
D1, and 7523 and 9208 msec for
D2, respectively.
[View Larger Version of this Image (41K GIF file)]
Fig. 12.
Low calcium dramatically reduces
synaptic depression. Conventions are described in Figure 3. Measured
field potential responses (lines) and best fit of the
model (dots) are given before (A) and after (B) exchange of normal extracellular
solution for a solution containing 0.5 mM
Ca2+ and 3.5 mM Mg2+.
Inset, Average responses to the first stimulus in the
train under both conditions. Note that responses in B do
not show the overall depression apparent in A and that
the rapid depression apparent during high-frequency portions of
A (arrow) are replaced by net facilitation in
B. C, Parameters of the fit. Facilitation (left) is mildly reduced (initial amplitude, 1 + f, changed from 3.03 to 2.45) but increased in duration
(time constants changed from 93 to 124 msec). In contrast, the
amplitude of both depression components (middle and
right) are substantially reduced (i.e., are closer to 1;
D1, 0.368-0.955;
D2, 0.983-0.991). Time constants changed from 438 to 569 msec (D1) and
from 7523 to 4283 msec (D2).
[View Larger Version of this Image (34K GIF file)]
Fig. 13.
Adenosine reduces synaptic
depression. Conventions are described in Figure 3. Measured field
potential responses (lines) and best fit of the model
(dots) are given before (A) and
after (B) bath application of 10 µM
adenosine. Inset, Average responses to the first
stimulus in the train under both conditions. Note that responses in
B show much less overall depression than is apparent in
A and that high-frequency portions of A
are associated with rapid depression, whereas the same portions in
B show constant amplitude or mild facilitation.
C, Parameters of the fit. Facilitation (left) was moderately reduced (amplitude changed from
2.63 to 1.65; time constants changed from 106 to 168 msec). The more
rapid component of the depression
(D1; middle) was also
moderately reduced (amplitude changed from 0.526 to 0.763; time
constants changed from 446 to 566 msec). The longer-lasting component
of the depression (D2;
right) was abolished (initial amplitude was 0.98, and
time constant was 5723 msec; during adenosine application, amplitude was 1.0).
[View Larger Version of this Image (43K GIF file)]
Fig. 7.
Comparison of one-, two-, three-, and
four-component models. fEPSP responses to 4 Hz Poisson-distributed
trains recorded under control conditions (A),
during application of 5-20 µM adenosine (B), and during perfusion with reduced
extracellular calcium (C) were fit with six
different related models of short-term plasticity (see Eqs. 1-6). Each
model had one to four components, consisting of zero or one
facilitation factor (indicated by F under
bar) and zero to three depression factors (indicated by
D under bar). Facilitation and depression
factors were those in Eqs. 1-6. Error bars indicate the SEM of the fit
error associated with each model.
[View Larger Version of this Image (45K GIF file)]
Fig. 9.
Distribution of fit parameters. Data
recorded intracellularly (open circles) and
extracellularly (filled circles) were fit with a
two-component model (see Eq. 4). Fit parameters are shown as a function
of animal age. Recovery time constants tended to be longer in data from
younger animals.
[View Larger Version of this Image (19K GIF file)]
Fits were evaluated first by measuring the fractional error
[(observed predicted)/observed] for each response in a train and then by calculating its average (referred to as average error) and
its root mean square (referred to as rms error). The average error is a
measure of the degree to which the predictions systematically underestimate or overestimate the data, whereas the rms error is a
measure of the closeness of fit. The set of model parameters yielding
the lowest rms error was found by an automated search algorithm. We
also calculated an error index, defined as the ratio of the rms error
obtained with the best fit of the model to the rms error obtained when
no depression or facilitation factors were included (i.e., when
A = A0).
Typically we fit a set of responses obtained during stimulation with a
Poisson-distributed train or with a Poisson-distributed train followed
by a period of constant frequency stimulation, and then used the model
parameters to predict responses to other random and constant frequency
trains. To avoid overlap of individual responses within a train, we
clipped the minimum interval at 30 msec. In some experiments, we used
smaller minimum intervals. Individual trains were separated by 45-60
sec. We ensured that this was an adequate period of recovery by
confirming that the initial amplitudes did not vary systematically on
subsequent repetitions (see Fig.
1A,C, top).
Fig. 1.
Synaptic depression recorded in layer
2/3 during random stimulation of layer 4. A,
B, EPSCs recorded during whole-cell voltage clamp of a
visually identified pyramidal neuron. Stimulus was a
Poisson-distributed train (duration, 20 sec; mean rate, 4 Hz). A, Superimposed individual responses to the first
stimulus in the train (top; n = 8 repetitions) and superimposed responses to each stimulus in the train
averaged over the eight repetitions (bottom).
B, Averaged responses to the entire train.
C, D, Field potentials recorded in layer
2/3 in response to the same stimulus pattern during a separate
experiment. C, Superimposed individual responses to the
first stimulus in each of five repetitions (top) and
superimposed averaged responses to each stimulus in the train (bottom). D, Averaged responses to the
entire train.
[View Larger Version of this Image (31K GIF file)]
RESULTS
Synaptic responses in layer 2/3 exhibit prominent
synaptic depression
Figure 1 illustrates synaptic responses evoked in layer 2/3 by
Poisson-distributed stimulus trains applied to layer 4 immediately below the recording site. Both monosynaptic EPSCs (Fig.
1A,B; n = 11 cells), recorded intracellularly, and field
potentials (Fig. 1C,D; n = 38 slices), recorded extracellularly, strongly depressed during the course
of each stimulus train and recovered during the 45-60 sec period
between repetitions of the stimulus train. The amplitude of individual
responses within the train typically varied over a twofold to eightfold
range (Fig. 1A,C, bottom). Most of this variance was not caused by random
fluctuations, particularly for the field potentials, because the
trial-to-trial variance of the responses (Fig.
1A,C, top; SEM/mean,
8.1% for EPSCs and 4.0% for field potentials) was small compared with
the variance of the responses across stimuli within the train. In general, the trial-to-trial variance of the EPSCs evoked by
near-minimal stimulation was much greater than the trial-to-trial
variance of the field potentials, which were evoked using larger
amplitude stimuli. Presumably, EPSCs are more variable because the
small number of synapses contributing to the responses are not
sufficient to average out random fluctuations in transmitter release.
In contrast, field potentials presumably reflect simultaneous
activation of large numbers of synapses and hence allow an accurate
determination of the mean response to a particular stimulus pattern
using a much smaller number of trials.
Although it is widely assumed that field potentials in hippocampus and
neocortex reflect primarily activation of excitatory synapses (Mitzdorf
and Singer, 1978 ; Bode-Greuel et al., 1987 ; Langdon and Sur, 1990 ;
Kirkwood and Bear, 1994 ), we wished to confirm this fact in our
preparation. Two components of the response were distinguished on the
basis of latency and ability to follow high-frequency stimulation: (1)
a very short latency (0.5-1.5 msec onset; 1-2 msec peak) response
that persisted during high-frequency stimulation, and (2) a slightly
longer latency response (2-4 msec onset; 4-7 msec peak) that
depressed rapidly during high-frequency stimulation. Additional, longer
latency negative components were sometimes present but were not studied
in detail. Based on these observations and on the effects of
pharmacological manipulations described below and in keeping with
previous observations in visual cortex (Kirkwood and Bear, 1994 ) and
other cortical areas (Hess et al., 1996 ), we identified these
components as (1) a nonsynaptic fiber volley and antidromic response
(referred to as the antidromic response) and (2) a field EPSP (fEPSP).
Application of the AMPA glutamate receptor antagonist
6-cyano-7-nitroquinoxaline-2,3-dione (CNQX; 10-20 µM)
completely blocked the synaptic component of the response (Fig.
2A; n = 6) but spared the antidromic response. Monosynaptic IPSPs and NMDA
receptors did not contribute to the potential that remained after
application of CNQX, because subsequent addition of bicuculline
methiodide (BMI; 20 µM) and aminophosphonovalerate (APV;
50 µM) had no effect (data not shown). Addition of
tetrodotoxin (TTX; 1 µM) (Fig. 2A)
abolished both the synaptic and antidromic responses. We often observed
an upward deflection after the initial negative-going synaptic
response. We suspect that this reflects activation of polysynaptic
inhibitory pathways because (1) it corresponds temporally to disynaptic
inhibitory currents recorded intracellularly; (2) during application of
BMI it was reduced or abolished and was replaced by additional negative
components that corresponded temporally with polysynaptic excitatory
potentials recorded intracellularly; and (3) it tended to fatigue even
more rapidly than the short latency response.
During repetitive stimulation, the antidromic response, unlike the
synaptic response, did not decline in amplitude. In some cases, like
that shown in Figure 2B, there was a small increase in amplitude after the first or second stimulus that then decayed back
to the initial levels. In the majority of cases, the amplitude of the
antidromic response did not change. This indicates that the depression
of the synaptic response is not simply an artifact of decreasing
effectiveness of extracellular stimuli in a train.
To avoid large polysynaptic potentials and epileptiform discharges that
often occurred after stimulation in the presence of bicuculline, we did
not block inhibition in most experiments. During whole-cell recordings,
EPSCs were isolated by keeping stimulus strengths below the threshold
for evoking an IPSC. In four field potential experiments, we were able
to record a stable pharmacologically isolated AMPA receptor component
of the fEPSP in the presence of 20 µM BMI to block
inhibition and 2 µM MK-801 to block NMDA receptors
without evoking epileptiform activity. Synaptic depression observed
during blockade of GABAA receptors and NMDA receptors was
extremely similar to that observed under control conditions (Fig.
2C).
Responses to random stimulus trains can be fit accurately by a
simple model of short-term facilitation and depression
Figure 3 illustrates the best fit of
the three-component model (one facilitation component and two
depression components, see Eq. 5) to EPSCs recorded from a layer 2/3
pyramidal neuron in response to 10 repetitions of a Poisson-distributed
train. The model accurately captures the overall time course of
depression but is less precise in predicting the response to individual
stimuli. Averaged across the responses within the train, the difference between measured and predicted amplitudes was not significantly different from zero (average error, 2.5 ± 15.9%), although
predictions of responses to individual stimuli varied appreciably in
how well they matched the data (rms error, 16.0%). The error index was 8.6%, indicating that the prediction accounted for >91% of the variation in amplitude across stimuli within the train. The same parameters used to fit the response to the Poisson train were then used
to predict responses to constant frequency trains at 5 and 10 Hz (Fig.
3C,D). The predicted responses to constant
frequency trains agreed well with the measured responses (rms errors of 10.1 and 16.7%, respectively), although, as in the initial fit, responses to individual stimuli deviated in an apparently random way
from predicted values. Similar fit parameters were obtained for EPSCs
recorded from 8 of 11 cells. In two of the remaining cells, the data
were better fit by a single exponentially decaying depression (i.e.,
F and D2 both equaled 1), and in the
third remaining cell, the data were best fit by a combination of
facilitation and a single depression factor (i.e.,
D2 was 1).
Much more accurate (i.e., lower rms error) fits were obtained from the
field potential data. Presumably the increased accuracy reflects the
lower trial-to-trial variability of the field potentials that allow
more accurate estimates of the mean response to each stimulus in a
train, despite a small number of repetitions (4-5; see Fig. 5 and
below). An example of a fit to field potential recordings is shown in
Figure 4. Fine details of the
fluctuations in response amplitude are accurately captured by the fit.
The rms error for this fit was 8.3%, and the error index was only 2.4%, indicating that the prediction accounted for >97% of the variation in amplitude across stimuli within the train. The parameters of the fit (Fig. 4E) were quite similar to those
obtained from fits to EPSCs. The same parameters extracted from the fit
to the 4 Hz Poisson train (Fig. 4A) accurately
predicted responses to constant frequency trains (Fig.
4C,D). For these trains, the rms errors were 2.5 and 8.5%, and the error indices were 1.3 and 1.9%. The same
parameters also accurately predicted responses to different random
trains. The rms errors for additional random trains with mean rates of
1 and 2 Hz were 11.8 and 10.9%, respectively.
Fig. 5.
Accuracy of fits and predictions depend on
response variability. Responses were fit with the four-component model
(see Fig. 7). For each cell and recording site, the model was fit to
data from a subset of stimulus trains tested and then used to predict responses to other trains. A, The rms errors of model
fits and predictions plotted against the SEM of the data (also
expressed as a percent of the mean) over the 5-10 repetitions
recorded. Filled circles are field potentials
(n = 140 response trains from 39 slices).
Open circles are EPSCs (n = 42 response trains from 11 cells). The line is the best
linear fit (slope = 0.85; intercept = 4.7%;
r = 0.90). Note that EPSCs had higher fit errors
but also had correspondingly higher SEMs. Inset,
Histogram of differences between the normalized fit errors and SEMs.
B, Comparisons of rms errors for field potential
responses to different types of stimulus trains. Black
bars are Poisson-distributed trains, and gray
bars are constant frequency trains. For each data set, model parameters were obtained from fits to responses during 4 Hz
Poisson-distributed trains or from jointly fitting these responses and
those obtained during stimulation with a 20 Hz constant frequency
train. Responses to other trains were then predicted using the same fit
parameters. The errors for the fits (4 Hz Poisson-distributed and 20 Hz
constant frequency) and predictions (2 Hz Poisson-distributed and 1-10 Hz constant frequency) are quite similar.
[View Larger Version of this Image (30K GIF file)]
To determine whether the fit errors were determined primarily by
limitations of the model or by the intrinsic variability of the data,
we plotted the precision of the fits against the variability of the
data. Figure 5A illustrates
the fact that the error of the fits increased with increasing
trial-to-trial variability. Each point plots the rms error
for a stimulus train against the SEM that, like the rms error, has been
expressed as a fraction of the response amplitude and averaged across
responses within a train. All data from 2 and 4 Hz Poisson-distributed
trains and 1, 5, 10, and 20 Hz constant frequency trains are included.
Three to five stimulus trains are shown for each cell and extracellular recording site. In each case, one or two trains were used to generate the fit, and two to four were predicted using the same parameters. The
values shown are from fits of the full four-component model (one
facilitation and three depression components, Eq. 1), but fits of the
three-component model to a subset of the data were quite similar (see
Fig. 7). The high degree of correlation between the rms error of the
fit and the SEM of the data (r = 0.90) suggest that
trial-to-trial variability was an important factor limiting the
accuracy of predictions of individual responses within a train. The
intercept represents the accuracy of our fits in the limit of zero
trial-to-trial variability. An alternative measure of fit accuracy is
the residual error remaining after the error attributable to
variability is subtracted from the rms error (Fig. 5A,
inset). The two measures of fit accuracy independent of
intrinsic variability yielded similar values (intercept = 4.7%;
residual error mean ± SD, 1.8 ± 5%; median = 3.2%).
As seen in the case of the individual set of responses shown in Figure
4, errors for response predictions were typically no worse than the
errors of the initial fits (Fig. 5B).
Comparison of related models
In most cases, the data were fit better by a model with two
depression factors than by a model with only a single depression factor. To test more directly the need for two components of depression with differing time courses, we measured the recovery from depression after a train of 15 stimuli at 20 Hz. As shown in Figure
6, the amplitude of field potential
responses to a single test pulse given at various times after the end
of the train recovered with a time course that was much better fit by
the product of two exponentials than by a single exponential. This was
true in each of the five experiments in which the recovery time course
was measured.
Fig. 6.
Recovery from depression after a constant
frequency train has two time constants. Field potential responses to
single test stimuli are given after a 15-sec-long 20 Hz train. Recovery
intervals ranged from 10 msec to 10 sec. Response amplitudes are
normalized to the initial responses. Error bars indicate SDs over five
repetitions. Data from three different slices are shown
(A-C). In each case data were well fit by the
product of two exponentials (solid curves) but were not
as well fit by a single exponential (dotted
curves).
[View Larger Version of this Image (22K GIF file)]
To compare more comprehensively the need for each of the components of
the model, we fit a subset of the data with six different related
models (Eqs. 1-6). For the sake of comparison, the rms error obtained
when assuming no short-term plasticity (A = A0; see error index in Materials and
Methods) was 157 ± 28.1%. Under control conditions, the dominant
form of short-term plasticity is depression, hence the data were poorly
fit by a single facilitation factor but were better fit by a single
depression factor. In keeping with the results of the recovery
experiments, including a second depression factor produced a
substantial improvement in the fit (from rms error of 11.9 ± 1.0% with a single depression factor to 9.8 ± 0.6% with two
depression factors). We also assessed the benefit of adding a third
depression component having a faster time course (10-100 msec)
(Thomson et al., 1993 ; Stevens and Wang, 1995 ). Adding this third, very
rapidly recovering depression factor produced little improvement for
models that lacked facilitation but led to small additional
improvements in models that included a facilitation term. It should be
noted that the data used for Figure
7A may underestimate the
magnitude of this faster form of depression because the data were
collected using stimulus trains in which the range of frequencies was
not truly Poisson but was clipped at 30 Hz. When shorter intervals were
included in the stimulus trains (clipping at 60 Hz, n = 4; clipping at 100 Hz, n = 3; no clipping frequency,
n = 3), the data were better fit with a model that
included this rapid depression component (rms error of 15.3 ± 1.2% for three depression factors vs 16.9 ± 1.9% for two
depression factors).
Mixtures of facilitation and depression typically produced the best
fits. The improvement over models containing only depression was modest
under control conditions (e.g., rms error of 8.7 ± 0.8% for two
depression factors and one facilitation factor vs 9.8 ± 0.6% for
the two depression factors with no facilitation; Fig. 7A)
but became more significant under conditions of reduced transmitter
release (Fig. 7B,C). This reflected
the reduced depression and enhanced facilitation that was apparent
under conditions of reduced release (see below and Figs. 12, 13, 14).
Fig. 14.
Effects of pharmacological manipulations on
responses to 20 Hz trains. A-F, Responses were recorded
before (solid lines, filled circles) and
after (dashed lines, open circles)
manipulations. Response amplitudes are normalized to the initial
response in each train to allow comparison of effects on short-term
plasticity independently of effects on response amplitude. Error bars
indicate SD across repetitions within an experiment, averaged across
the number of experiments shown. Note that reducing postsynaptic
responses with 0.25 µM CNQX (A) or
reducing AMPA receptor desensitization with 60 µM CTZ
(B) did not alter depression during 20 Hz
stimulation. In contrast, manipulations known to alter transmitter
release (C-F) produced dramatic changes in
short-term plasticity. G. Effects of manipulations on
initial response amplitude. Amplitudes have been normalized to initial
control response amplitudes (first bar).
[View Larger Version of this Image (30K GIF file)]
To determine whether or not there was a unique best fit of the model,
we varied fit parameters over a wide range and measured the resulting
error. For these studies, we used the three-component variant of the
model containing a single facilitation component and two depression
components (Eq. 5). Varying each parameter individually (Fig.
8A,B)
produced smoothly changing error functions that had clear minima and
were approximately parabolic in shape. The error was more sensitive to
variations in some parameters (e.g., d2;
Fig. 8A, filled circles) than in
others (e.g., d2; Fig. 8B,
filled circles). Varying pairs of parameters
simultaneously (Fig. 8C,D) produced error
surfaces that were also smoothly varying and that each had a
single discrete region of minimum error. The region of minimum error
for a given pair of parameters (e.g., f and
d1; Fig. 8C) was typically
elongated along a diagonal. For most pairs of parameters examined, the
degree of elongation was similar to that shown in Figure 8C.
When the degree of facilitation and the faster depression were varied
simultaneously (Fig. 8D), the degree of elongation
was substantially greater than with any other pair of parameters. Along
this diagonal, increases in facilitation could be matched by decreases
in depression (or vice versa) without significantly affecting the
quality of the fit. This ambiguity is present in all model variants
that contain opposing facilitation and depression acting over
approximately similar time scales. We performed the same analysis on
fits to data from four other slices and obtained very similar error
surfaces.
To compare the amount of depression and its rate of recovery across
experiments, it was important to minimize the degeneracy of the fits.
Data were fit with a variant of the model that included the two
depression components described above but in which facilitation was
omitted (Eq. 4). This represented a compromise between using a
single-component model that in some cases produced rather poor fits but
had the fewest free parameters and using the full four-component model
that produced better fits but had nine free parameters
(A0 plus the amplitudes and time constants of
each component). The parameters of the best fits of this model to all
of the data recorded under control conditions are plotted as a function
of age of the animal in Figure 9. Both
forms of depression were evident over the entire range of ages studied
and were similar in intracellular and extracellular recordings. There
was a tendency for the recovery time constants, especially for the
slower of the two forms of depression, to be shorter in the older
animals.
Manipulations that alter postsynaptic responsiveness do
not alter short-term plasticity
In principle, the prominent short-term synaptic
depression we observed could arise as a result of a change in the
amount of neurotransmitter released from presynaptic axons (Betz, 1970 ; Kusano and Landau, 1975 ; Larkman et al., 1991 ; Thomson et al., 1993 ;
Stevens and Wang, 1995 ; Debanne et al., 1996 ), a change in the
sensitivity of postsynaptic cells to that neurotransmitter (Hestrin,
1992 ; Trussell et al., 1993 ), or a change in other conductances, such
as voltage-dependent conductances (Sutor and Hablitz, 1989 ; Deisz et
al., 1991 ; Hirsch and Gilbert, 1991 ; Thomson et al., 1993 ) activated as
a result of the depolarization caused by synaptic current. In an
attempt to distinguish between these possibilities, we applied a number
of pharmacological manipulations known to affect presynaptic release
and postsynaptic responsiveness. We reasoned that if the relevant
change were occurring in voltage-dependent conductances activated by
postsynaptic depolarization, short-term plasticity should be altered by
manipulations that decrease the postsynaptic response.
We compared the best fit of the model for data obtained under control
conditions with that obtained at the same recording site after
application of a low concentration (0.25 µM) of the AMPA-type glutamate receptor antagonist CNQX. As shown in Figure 10, CNQX dramatically decreased the
overall amplitude of the responses but had little effect on the
observed short-term plasticity. This suggests that changes in
conductances that depend strongly on postsynaptic voltage are unlikely
to make a major contribution to the observed short-term plasticity.
Similar results were obtained in four other experiments. These results
were also consistent with the observation that the magnitude and time
course of depression were similar during whole-cell voltage-clamp
experiments when cells were kept hyperpolarized and much smaller
synaptic currents were evoked.
A second possible postsynaptic mechanism that might contribute to
short-term synaptic depression is desensitization of AMPA receptors,
which occurs at a variety of central synapses including those in rat
visual cortex (Hestrin, 1992 ). To investigate this possibility, we
applied cyclothiazide (CTZ), a drug that reduces AMPA receptor
desensitization (Trussell et al., 1993 ), and measured its effect on
short-term synaptic plasticity. CTZ (60 µM;
n = 5 experiments) markedly increased the duration and
slightly increased the amplitude of individual field potential
responses (Fig. 11, inset)
but had no effect on short-term plasticity (Fig.
11A-C).
Manipulations that alter transmitter release alter
short-term plasticity
At neuromuscular junctions (del Castillo and Katz, 1954 ;
Betz, 1970 ), the squid giant synapse (Kusano and Landau, 1975 ;
Swandulla et al., 1991 ), and synapses in spinal cord (Pinco and
Lev-Tov, 1993 ), hippocampus (Debanne et al., 1996 ), and neocortex
(Thomson et al., 1993 ; Markram and Tsodyks, 1996 ), presynaptic changes in quantal content or probability of release have been shown to influence profoundly short-term facilitation and depression. To determine whether the forms of short-term plasticity studied here also
depended on presynaptic release, we applied manipulations that have
been shown previously to affect release. Presynaptic release was
decreased by lowering external calcium from 2.0 to 0.5 mM
(with a compensatory increase in external Mg2+ ion
concentration; n = 4; Fig.
12) and by applying neuromodulatory substances such as adenosine (Prince and Stevens, 1992 )
(n = 10; Fig. 13) or
baclofen (Thompson et al., 1993 ) (n = 7; Fig.
14) that have been shown previously to
decrease release. Although adenosine and baclofen can also have
postsynaptic effects, we have observed previously (Varela et al., 1995 ;
J. A. Varela and S. B. Nelson, unpublished observations) that
at visual cortical synapses the presynaptic effects are far more
pronounced and occur at lower concentrations. As shown in Figures 12
and 13, reducing release dramatically altered short-term plasticity.
Responses recorded during application of lowered calcium were smaller
and, in addition, showed much less overall depression. During
high-frequency bursts within the random stimulus train, net depression
was converted to net facilitation (Fig. 12, arrow).
Responses recorded during application of adenosine or baclofen, in the
presence of normal extracellular calcium, showed a similar reduction in
the degree of depression and enhancement of net facilitation (Fig.
13).
In a smaller number of experiments, we increased release by elevating
external calcium (n = 4) or by applying the potassium channel blocker 4-aminopyridine (4-AP; n = 4). 4-AP
enhances neurotransmitter release at many types of synapses, presumably
by causing action potential broadening and hence increased calcium
entry (Rutecki et al., 1987 ). These manipulations produced modest
increases in the amplitude of responses to individual stimuli and
enhanced depression.
The effects of the various pharmacological manipulations on short-term
plasticity are summarized in Figure 14, which shows responses to 20 Hz
trains that have been normalized to the initial amplitude and averaged
across experiments. Reducing postsynaptic responsiveness with CNQX
(Fig. 14A) or blocking postsynaptic receptor desensitization with CTZ (Fig. 14B) did not alter the
accumulation of depression that occurred during the train.
Manipulations that increase presynaptic transmitter release (Fig.
14C,D) increased the rate and relative magnitude
of the depression. Conversely, manipulations that decrease transmitter
release (Fig. 14E,F) greatly decreased the depression and revealed facilitation during the early
portion of the train. Similar results were obtained during application
of adenosine (n = 9; data not shown).
To compare fit parameters across cells while minimizing the
impact of the ambiguity caused by simultaneous facilitation and depression (see Fig. 8), we fit each set of responses with a model consisting of two components of depression without accompanying facilitation. Data from the various manipulations were pooled into
three groups: manipulations of postsynaptic responsiveness (CNQX and
CTZ), manipulations that increase presynaptic release (elevated
external calcium and 4-AP), and manipulations that decrease presynaptic
release (reduced external calcium, adenosine, and baclofen). For each
group, we assessed the effect of the manipulations by comparing mean
fit parameters obtained from data collected during drug application
with those obtained before drug application. The more rapid form of
depression (d1) was significantly weaker (i.e., closer to 1) during manipulations that decreased release probability (from 0.88 ± 0.017 to 0.97 ± 0.010;
p = 5.7 × 10 5, paired
t test) and significantly stronger (i.e., farther from 1)
during manipulations that increased release (from 0.86 ± 0.044 to
0.66 ± 0.084; p = 0.004). The value of
d1 was not significantly altered by
manipulations of postsynaptic responsiveness (from 0.87 ± 0.013 to 0.88 ± 0.022; p = 0.64). The amplitude of the slower form of depression (d2) was also
significantly decreased during decreased release
(p = 0.016) but was not significantly increased
during increased release (p = 0.74) or altered
postsynaptic responsiveness (p = 0.89). The
recovery time constants were not significantly altered during any of
the treatments.
DISCUSSION
The present results show that synaptic responses in layer
2/3 evoked by temporally patterned stimulation of layer 4 exhibit a
mixture of facilitation and depression with depression predominating under normal conditions. More importantly, they show that most of the
apparently complex dynamics of these responses can be well described by
a simple three-component model in which facilitation and two forms of
depression are updated with each presynaptic stimulus and recover
exponentially between stimuli. Describing synaptic dynamics in this way
may provide some quantitative constraints that will be useful in
delineating underlying mechanisms, but this is not the primary
advantage of this approach. Its utility (and that of a similar approach
developed independently by Tsodyks and Markram, 1997 ) is that it
provides a concise and portable description that is useful for
predicting synaptic responses to more complex patterns of stimulation,
for computational studies of circuit dynamics, and for comparing
dynamic properties across different synaptic pathways within or between
preparations.
The present study focused primarily on understanding the average
dynamics of populations of simultaneously activated synapses. As such,
the information it provides is complimentary to that obtained from
studies in which dynamic properties of individual synaptic connections
have been examined (Thomson and Deuchars, 1994 ; Tsodyks and Markram,
1997 ). The similarity between the dynamic properties measured
extracellularly from large populations of synapses and those measured
by activating small numbers of inputs to individual neurons both in
this study and in paired recordings of Tsodyks and Markram (1997)
suggests that short-term plasticity at individual synapses is the
dominant factor determining the dynamics of the population response. An
important reason for measuring the dynamics of population responses is
that it is large populations of synapses, rather than single
connections, that are activated during sensory stimuli (although during
sensory stimulation synapses may not be activated as synchronously as
during extracellular stimulation). Even for individual cortical
neurons, it is likely that sensory stimuli that evoke robust responses
activate a substantial fraction of the many thousands of synaptic
inputs of the cell. Measurements of the average dynamics of those
inputs are therefore crucial to understanding how dynamic properties of
synapses contribute to the dynamics of sensory responses.
The depression observed in the present study bears a number of
similarities to forms of synaptic depression identified at other
synapses. At the neuromuscular junction and squid giant synapse, the
amplitudes of responses to successive presynaptic stimuli fall
exponentially (Liley and North, 1952 ; Kusano and Landau, 1975 ). The
mechanism underlying synaptic depression is believed to be depletion of
a readily releasable pool of vesicles. The results of the
pharmacological manipulations performed here are also consistent with a
presynaptic mechanism for depression at cortical synapses. Decreasing
the amount of release by lowering external calcium or by applying
baclofen or adenosine reduced depression. Conversely, increasing
release by increasing extracellular calcium or by applying 4-AP, a
potassium channel blocker that augments calcium influx by decreasing
action potential repolarization at synaptic terminals, increased
depression. We cannot rule out the possibility that some of the
manipulations presumed to alter presynaptic release may have also had
postsynaptic effects. However, we also observed that reducing
postsynaptic responsiveness with CNQX had no effect on the observed
depression. In addition, depression was similar during field potential
recordings of large synaptic responses and whole-cell voltage-clamp
recordings of small synaptic responses. These data suggest that it is
not the degree of postsynaptic depolarization that is correlated with
the magnitude of depression but rather the amount of presynaptic
release. An additional candidate postsynaptic mechanism, AMPA receptor
desensitization, also seemed not to contribute significantly to
depression over the range of intervals tested (>30 msec), because CTZ,
although it had a clear effect on the duration of individual responses,
did not alter the kinetics or amplitude of the observed depression.
Similar findings have been reported for paired-pulse depression between neurons in hippocampal slice cultures (Debanne et al., 1996 ).
Another recent quantitative study of depression at neocortical synapses
observed a single component of depression comparable to the faster
component in this study but did not observe a longer time constant
(Tsodyks and Markram, 1997 ). Several methodological differences could
account for this difference. First, it is possible that in the present
study, multiple populations of synapses with differing recovery rates
are being sampled. Recent studies of cat visual cortex (Stratford et
al., 1996 ) and rodent somatosensory and motor cortex (Thomson and
Deuchars, 1994 ; Castro-Alamancos and Connors, 1996 ) indicate that
different classes of synapses may exhibit different forms of short-term
plasticity. Arguing against this interpretation, however, is the fact
that the slower form of depression was also observed in EPSCs that,
from their amplitudes, were unlikely to represent coactivation of more
than a few synapses. As noted above, multiple time constants of
recovery are common at single synapses in the case of facilitation and have occasionally been demonstrated in the case of depression (Kusano
and Landau, 1975 ; also see Rosenmund and Stevens, 1996 , their Fig. 7).
Second, it is possible that the difference is attributable to the
different synaptic pathways studied (layer 5 of somatosensory cortex vs
layer 2/3 of visual cortex) or to differences in the ages of the
animals (postnatal days 13-15 vs postnatal days 14-40). Finally, the
longer-lasting component may be more easily recognized when fitting
responses to longer duration (20-60 sec) trains. The slower form of
depression observed in the present study has an amplitude and time
constant similar to that observed for the replenishment of the readily
releasable pool of transmitter at synapses between hippocampal neurons
grown in culture (Liu and Tsien, 1995 ; Ryan and Smith, 1995 ; Rosenmund
and Stevens, 1996 ).
Functional significance
We have suggested previously that depression at cortical synapses
is a form of gain control that allows cortical neurons to respond to
relative, rather than absolute, changes in firing rate (Abbott et al.,
1997 ; for related ideas, see Grossberg, 1984 ; Tsodyks and Markram,
1997 ). Simulations of the responses of depressing synapses to
fluctuations in presynaptic firing rate also reveal that such synapses
are not performing linear temporal filtering. Instead, postsynaptic
responses are enhanced for transients (Abbott et al., 1997 ; Tsodyks and
Markram 1997 ; i.e., temporal "high-pass" behavior) yet also exhibit
temporal "low-pass" behavior in that they respond poorly to
high-frequency (>10-20 Hz) sinusoidal fluctuations in presynaptic
firing rates (F. Chance, S. B. Nelson, and L. F. Abbott, unpublished
observations). To the extent that synapses in the primary visual cortex
of higher mammals are similar to those measured in rodent cortex, these
properties of synaptic depression may explain some of the temporal
nonlinearities noted previously in extracellular responses to visual
stimuli. For example, the enhanced response to transients suggests that
responses to flashed gratings should be larger than predicted on the
basis of temporal frequency tuning for counterphased gratings, as has been observed (Tolhurst et al., 1980 ).
Perhaps the most dramatic temporal nonlinearity exhibited by cortical
neurons is contrast adaptation. Contrast adaptation can occur locally
within a portion of the receptive field of a cell (Marlin et al.,
1991 ). It can also decrease the sensitivity of a neuron to particular
stimuli without changing the maximal firing rate of the cell (Ohzawa et
al., 1982 ). In single-unit and evoked-potential studies, contrast
adaptation recovers with a time constant of 5-10 sec (Ho and Berkley,
1988 ; Maddess et al., 1988 ; Giaschi et al., 1993 ), although a more
rapid form of adaptation recovering over the course of hundreds of
milliseconds has also been described (Bonds, 1991 ; Nelson, 1991a ). The
magnitude and rate of onset of adaptation increase as the temporal
frequency of the visual stimulus increases (Maddess et al., 1988 ;
Bonds, 1991 ; Nelson, 1991a ). These properties are consistent with a
mechanism that depends on synaptic depression (Nelson, 1991b ; Finlayson and Cynader, 1995 ; Somers et al., 1996 ; Nelson et al., 1997 ). Recent
pharmacological (McLean and Palmer, 1996 ) and intracellular studies
(Carandini and Ferster, 1997 ) in vivo support the hypothesis that contrast adaptation is caused by a reduction in excitatory synaptic drive, although the class of synapses affected and the biophysical mechanism involved remain undetermined. Our
characterization of visual cortical short-term plasticity and
identification of pharmacological means of manipulating that plasticity
may permit a more-detailed analysis of its function in shaping the
dynamics of cortical responses to visual stimuli.
FOOTNOTES
Received June 20, 1997; revised July 22, 1997; accepted July 24, 1997.
This work was supported by National Science Foundation Grants 9511094 and 9421388, the Sloan Foundation, National Institutes of Health Grant
EY11115, and the W. M. Keck Foundation. We thank Gina Turrigiano
for helpful discussions.
Correspondence should be addressed to Dr. Sacha Nelson, Department of
Biology MS 008, Brandeis University, Waltham, MA 02254.
Dr. Gibson's present address: Neuroscience Department, Box 1953, Brown
University, Providence, RI 02912.
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A. A. Biro, N. B. Holderith, and Z. Nusser
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G. Gonzalez-Burgos, L. S. Krimer, N. N. Urban, G. Barrionuevo, and D. A. Lewis
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H. Yao, Y. Shen, and Y. Dan
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P. R. Montague, S. M. McClure, P. R. Baldwin, P. E. M. Phillips, E. A. Budygin, G. D. Stuber, M. R. Kilpatrick, and R. M. Wightman
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J. E. Lewis and L. Maler
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P. Miller, C. D Brody, R. Romo, and X.-J. Wang
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C. E. Garabedian, S. R. Jones, M. M. Merzenich, A. Dale, and C. I. Moore
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C. J. Wierenga and W. J. Wadman
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P. Ohliger-Frerking, S. P. Wiebe, U. Staubli, and M. Frerking
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X.-J. Wang, Y. Liu, M. V. Sanchez-Vives, and D. A. McCormick
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H.-X. Chen and S. N. Roper
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T. R. Tucker and L. C. Katz
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Y. Li and R. E. Burke
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M. Carandini, D. J Heeger, and W. Senn
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J. E. Lewis and L. Maler
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A. R Houweling, M. Bazhenov, I. Timofeev, F. Grenier, M. Steriade, and T. J Sejnowski
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J. E. Hanson and D. Jaeger
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C. C. H. Petersen
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A.-M. M. Oswald, J. E. Lewis, and L. Maler
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J. A Hirsch, L. M Martinez, J.-M. Alonso, K. Desai, C. Pillai, and C. Pierre
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T. D. Gover, X.-Y. Jiang, and T. W. Abrams
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J. J. Renger, K. N. Hartman, Y. Tsuchimoto, M. Yokoi, S. Nakanishi, and T. K. Hensch
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M. S. Goldman, P. Maldonado, and L. F. Abbott
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G. Fuhrmann, I. Segev, H. Markram, and M. Tsodyks
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J. D. Hunter and J. G. Milton
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D. J. Hagler Jr. and Y. Goda
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J. Kilbride, A. M. Rush, M. J. Rowan, and R. Anwyl
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R. D. King, M. C. Wiest, and P. R. Montague
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Y. Li and R. E. Burke
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S. P. Perrett, S. M. Dudek, D. Eagleman, P. R. Montague, and M. J. Friedlander
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V. Matveev and X.-J. Wang
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E. S. Fortune and G. J. Rose
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W. M. Usrey, J.-M. Alonso, and R. C. Reid
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M. V. Sanchez-Vives, L. G. Nowak, and D. A. McCormick
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C. M. Hempel, K. H. Hartman, X.-J. Wang, G. G. Turrigiano, and S. B. Nelson
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D. L. Brody and D. T. Yue
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D. Parker
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A. C. Kreitzer and W. G. Regehr
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J. S. Dittman, A. C. Kreitzer, and W. G. Regehr
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V. Matveev and X.-J. Wang
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D. L. Brody and D. T. Yue
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A. V. Galazyuk, D. Llano, and A. S. Feng
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M. Galarreta and S. Hestrin
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K. Tarczy-Hornoch, K.A.C. Martin, K.J. Stratford, and J.J.B. Jack
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