The Journal of Neuroscience, July 16, 2003, 23(15):6373-6384
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Calcium Dependence of Retrograde Inhibition by Endocannabinoids at Synapses onto Purkinje Cells
Stephan D. Brenowitz and
Wade G. Regehr
Department of Neurobiology, Harvard Medical School, Boston, Massachusetts
02115
 |
Abstract
|
|---|
Many types of neurons release endocannabinoids from their dendrites in
response to elevation of intracellular calcium levels. Endocannabinoids then
activate presynaptic cannabinoid receptors, thereby inhibiting
neurotransmitter release for tens of seconds. A crucial step in understanding
the physiological role of this retrograde signaling is to determine its
sensitivity to elevations of postsynaptic calcium. Here we determine and
compare the calcium dependence of endocannabinoid-mediated retrograde
inhibition at three types of synapses onto cerebellar Purkinje cells. Previous
studies have shown that Purkinje cell depolarization results in
endocannabinoid-mediated retrograde inhibition of synapses received from
climbing fibers, granule cell parallel fibers, and inhibitory interneurons.
Using several calcium indicators with a range of affinities, we performed a
series of in situ and in vitro calibrations to quantify
calcium levels in Purkinje cells. We found that postsynaptic calcium levels of
15 µM are required for half-maximal retrograde inhibition at all of
these synapses. In contrast, previous studies had suggested that
endocannabinoid release could occur with slight elevations of calcium above
resting levels, which implies that inhibition should be widespread and
continuously modulated by subtle changes in intracellular calcium levels.
However, our results indicate that such small changes in intracellular calcium
are not sufficient to evoke endocannabinoid release. Instead, because of its
high requirement for calcium, retrograde inhibition mediated by
calcium-dependent endocannabinoid release from Purkinje cells will occur under
more restricted conditions and with greater spatial localization than
previously appreciated.
Key words: endocannabinoids; Purkinje cell; cerebellum; parallel fiber; climbing fiber; DSE; DSI
 |
Introduction
|
|---|
Endocannabinoids act as retrograde signaling molecules in many brain
regions, allowing postsynaptic cells to modulate their synaptic inputs
(Kreitzer and Regehr, 2002
;
Wilson and Nicoll, 2002
).
Neurons release endocannabinoids such as anandamide and 2-arachidonylglycerol
(Devane et al., 1992
;
Di Marzo et al., 1994
;
Stella et al., 1997
), which
modulate various ion channels (Mackie and
Hille, 1992
; Mackie et al.,
1993
; Twitchell et al.,
1997
), inhibit synaptic strength
(Levenes et al., 1998
;
Takahashi and Linden, 2000
),
and alter the firing of presynaptic cells
(Kreitzer et al., 2002
) by
activating receptors such as G-protein-coupled CB1 receptors
(Matsuda et al., 1990
;
Devane et al., 1992
). The
synthesis and release of endocannabinoids involve the calcium-dependent
cleavage of phospholipid precursors (Di
Marzo et al., 1994
; Stella et
al., 1997
) and do not require vesicle fusion
(Ohno-Shosaku et al., 2001
;
Wilson and Nicoll, 2001
).
Determining the calcium sensitivity of endocannabinoid-mediated modulation is
crucial for understanding the conditions under which endocannabinoids are
released and will help determine the mechanisms and functional role of this
signaling system.
Retrograde signaling by endocannabinoids occurs throughout the brain but
has been studied most extensively in the hippocampus and cerebellum.
Depolarization of either CA1 pyramidal cells or Purkinje cells releases
endocannabinoids, which activate presynaptic CB1 receptors and transiently
reduce the strength of inhibitory synapses for tens of seconds
(Kreitzer and Regehr, 2001a
;
Ohno-Shosaku et al., 2001
;
Wilson and Nicoll, 2001
;
Diana et al., 2002
). This
depolarization-induced suppression of inhibition (DSI) was shown to be calcium
dependent as indicated by a requirement for extracellular calcium
(Ohno-Shosaku et al., 1998
), a
voltage dependence similar to that of voltage-gated calcium channels
(Lenz et al., 1998
), and its
sensitivity both to the duration of depolarization
(Ohno-Shosaku et al., 1998
)
and to changes in intracellular calcium buffering
(Lenz and Alger, 1999
;
Glitsch et al., 2000
). In
addition to DSI, depolarization-induced suppression of excitation (DSE) has
been described at both parallel fiber (PF) and climbing fiber (CF) synapses
onto Purkinje cells (Kreitzer and Regehr,
2001b
; Maejima et al.,
2001
). Retrograde inhibition of all of these types of synapses is
prevented by dialyzing the postsynaptic cell with calcium chelators
(Pitler and Alger, 1992
;
Kreitzer and Regehr, 2001b
).
Moreover, for hippocampal synapses, photolytic elevation of calcium in the
absence of depolarization is sufficient to induce retrograde synaptic
inhibition (Wang and Zucker,
2001
; Wilson and Nicoll,
2001
). Thus, elevation of postsynaptic calcium (Capost)
triggers release of endocannabinoids that serve as retrograde messengers for
DSE and DSI.
The calcium dependence of endocannabinoid signaling has important
implications for the magnitude and spatial extent of endocannabinoid actions.
Previous studies of DSI suggest that endocannabinoid release requires only
small increases in Capost. In the cerebellum, an estimated increase
of 40200 nM in a Purkinje cell was sufficient to trigger
retrograde inhibition (Glitsch et al.,
2000
). Such a low requirement for calcium suggests that
substantial endocannabinoid release may occur tonically and that even modest
activity levels could produce widespread synaptic inhibition. In contrast,
studies of hippocampal DSI estimated that
4 µM
Capost is required to significantly suppress inhibitory synapses
onto pyramidal cells (Wang and Zucker,
2001
). This higher estimate suggests that greater levels of
activity may be required to evoke endocannabinoid release from pyramidal cells
than from Purkinje cells. Thus, previous studies provide differing estimates
of the calcium dependence of retrograde endocannabinoid signaling at
inhibitory synapses, and no studies to date have examined calcium sensitivity
of retrograde inhibition at excitatory synapses.
Here we measure the calcium sensitivity of endocannabinoid-mediated
retrograde inhibition for climbing fiber, parallel fiber, and inhibitory
synapses onto Purkinje cells. After taking a series of steps to determine
absolute levels of Capost, we found that for all three types of
synapses, retrograde inhibition produced by Purkinje cell depolarization
required Capost of
15 µM. In contrast to
previous reports that endocannabinoid signaling is highly sensitive to
calcium, our findings demonstrate that very large calcium signals are required
to activate the endocannabinoid signaling system.
 |
Materials and Methods
|
|---|
Electrophysiology. Parasagittal slices (300 µm thick) were cut
from the cerebellar vermis of 10- to 12-d-old Sprague Dawley rats. Dissections
were performed in ice-cold sucrose solution containing (in mM): 78
NaCl, 26 NaHCO3, 68 sucrose, 25 glucose, 2.5 KCl, 1.25
NaH2PO4-H2O, 7 MgCl2, 0.5
CaCl2. Slices were incubated for 30 min at 34°C in sucrose
solution and then transferred to saline solution containing (in
mM): 125 NaCl, 26 NaHCO3, 1.25
NaH2PO4-H2O, 2.5 KCl, 1 MgCl2, 2
CaCl2, 25 glucose, and allowed to cool to room temperature. All
solutions were bubbled with 95% O2/5% CO2.
Whole-cell voltage-clamp recordings of Purkinje cells were obtained using
glass electrodes (1.52.5 M
) filled with an intracellular
solution containing (in mM): 135 CsMeSO4, 15 CsCl, 15
HEPES, 0.2 EGTA, 1 MgCl2, 2 MgATP, 0.3 NaGTP, 10 phosphocreatine, 2
QX-314, and 20 TEA. The holding potential was -60 mV. This standard internal
solution was supplemented with calcium indicators as described in Results.
Series resistance was compensated by 7590% during recordings, which
were made using an Axon Multiclamp 700A amplifier (Axon Instruments, Union
City, CA). Data were filtered at 25 kHz and sampled at 10 kHz. Access
resistance and leak currents were monitored continuously, and experiments were
rejected if these parameters changed significantly during recording. Flow
rates were 12 ml/min. Experiments were performed at room
temperature.
Parallel fibers were stimulated with brief pulses (100300 µsec,
50500 µA) using a glass theta electrode (World Precision
Instruments, Sarasota, FL) filled with saline and positioned in the molecular
layer. Bicuculline (20 µM) was used to block
GABAA-mediated synaptic currents. Climbing fibers were activated by
placing a stimulus electrode in the granule cell layer. Individual climbing
fiber responses were identified by a large all-or-none response with a sharp
stimulus threshold. In addition to bicuculline (20 µM),
2,3-Dioxo-6-nitro-1,2,3,4-tetrahydrobenzo[f]quinoxaline-7-sulfonamide (NBQX)
(250500 nM) was added to reduce climbing fiber EPSCs by
2575% (Foster and Regehr, 2002) and to reduce voltage-clamp errors. For
experiments measuring DSI, interneurons were stimulated by placing the
stimulus electrode in the molecular layer in the presence of 10
µM NBQX.
Calibration of calcium indicators. To convert fluorescence ratios
to calcium concentrations, we used the relationship:
 | (1) |
where KD is the experimentally measured dissociation
constant of the indicator for calcium, Rmin and
Rmax are the fluorescence ratios at 0 and saturating
calcium concentrations, respectively, and
is defined as the ratio of
calcium-free versus calcium-bound fluorescence at the wavelength used as the
denominator in R (Grynkiewicz et
al., 1985
). Because we have chosen the isosbestic point of the
indicators for this wavelength,
= 1.
Measurement of indicator dissociation constants
(KD). Previous studies have shown that the properties
of indicators can change both as a result of buffer composition and from
cytoplasmic interactions within cells. For example, the KD
of calcium indicators can increase three- to fourfold when loaded into some
types of cells (Baylor and Hollingworth,
1988
; Konishi et al.,
1988
; Harkins et al.,
1993
; Kurebayashi et al.,
1993
). The extent to which such a KD shift
occurs in Purkinje cells is not known and therefore introduces uncertainty to
measurements of Capost within Purkinje cells. We therefore
performed experiments to determine the KD of indicators
within Purkinje cells. We began by including BSA (20 mg/ml) in our internal
solution to mimic protein binding that could occur in vivo
(Konishi et al., 1988
;
Harkins et al., 1993
).
The KD of calcium indicators was measured in a
spectrofluorimeter (Spex Fluorolog, Edison, NJ). Calibration solutions were
prepared according to the technique of Tsien and Pozzan
(1989
). Briefly, calcium was
buffered to known levels with 10 mM EGTA to which varying amounts
of CaCl2 were added. Measurements were made at room temperature in
a buffer that consisted of (in mM): 135 CsMeSO4, 15
CsCl, 15 HEPES, and 10 TEA, pH 7.30, which are the same concentrations as in
our intracellular recording solution. Several minor components of the
intracellular recording solution that could interfere with
KD measurements were omitted from the calibration buffer.
EGTA-buffered solutions were used to clamp calcium at concentrations up to 31
µM. Above the buffering range of EGTA, CaCl2 was
added directly to calibration solutions to obtain free calcium concentrations
of 0.110.0 mM. Fits of the Hill equation to fluorescence
values, with the Hill coefficient constrained to 1, were used to determine
KD. The KD of mag-fura-5 for magnesium
was measured at 3.7 mM.
Addition of BSA to the calibration buffer increased the
KD of several of the calcium indicators. As shown for
fura-2FF in Figure 1
Aa, BSA increased the KD by fourfold, from 8 to
32 µM. Similarly, BSA increased the KD of
fura-2 and mag-fura-5 by 3.3-fold and 4.0-fold, respectively (see
Table 1). Although there is
uncertainty regarding the cytoplasmic protein concentration in Purkinje cells,
the shift that we observe in KD suggests that the affinity
of these indicators may also change when loaded in a Purkinje cell. Because of
the possibility of such a shift in affinity, using cuvette
KD values to estimate calcium concentrations with these
indicators could cause underestimation of calcium levels by a factor of
34.
Fluo-5N, however, is not prone to such large uncertainties. We found that
BSA did not significantly alter the affinity of fluo-5N
(Fig. 1 Ab), which
suggests that the dissociation constant determined in a cuvette is appropriate
for quantifying calcium levels within a cell, regardless of the extent to
which fluo-5N is bound to protein within the cell. Our measurements of
KD and the effects of BSA are summarized in
Table 1.
Magnesium sensitivity of the indicators. For some indicators,
sensitivity to magnesium can complicate the quantification of calcium levels.
KD values for magnesium are 5.6 mM for fura-2
(Grynkiewicz et al., 1985
) and
3.7 mM for mag-fura-5 (our data), whereas fura-2FF does not respond
to Mg changes that are <1 M
(Xu-Friedman and Regehr,
1999
). Because the fractional changes in Mg are usually small and
the indicators used in this study are much more sensitive to Ca than to Mg, it
is unlikely that small changes in Mg influence the quantification of calcium
levels. However, it is possible that resting levels of magnesium, which are
much higher than those of calcium, can influence the resting fluorescence
ratio and make it difficult to quantify small changes in calcium with an
indicator such as mag-fura-5.
Indicator pairs. The insensitivity of the KD
of fluo-5N to proteins suggested a strategy to determine the appropriate
calibration parameters for fura-2, fura-2FF, and mag-fura-5. It is possible to
estimate calcium levels simultaneously with fluo-5N and one of these
UV-excited indicators as illustrated in
Figure 1 B, in which
excitation spectra of a combination of fura-2FF and fluo-5N are shown. Our
goal was to test the accuracy of calibration parameters by comparing
simultaneous calcium measurements from two indicators. Using the wavelengths
indicated in Figure 1
B, we calculated the fluorescence ratio of fura-2FF as
2/
1. We also treated fluo-5N as a ratiometric indicator by
calculating its fluorescence ratio as
3/
1, using its 490 nm
peak (
3) and the isosbestic point of fura-2FF (
1). This
approach, with slight variations in wavelengths (see
Table 1), was taken to
calculate fluorescence ratios for pairs of indicators in each of the following
three combinations (at the indicated concentrations): (1) fluo-5N (83
µM) with fura-2 (830 µM), (2) fluo-5N (250
µM) with fura-2FF (500 µM), and (3) fluo-5N (250
µM) with mag-fura-5 (500 µM).
For calibration and imaging experiments using indicator pairs, a filter
cube containing a 505 nm dichroic and 515 long-pass emission filter was used.
For experiments with either fura-2FF or mag-fura-5 alone, a 455 nm dichroic
and 455 nm long-pass emission filter were used.
In situ measurement of Rmax. We first used
this approach of measuring calcium with a pair of indicators to make in
situ measurements of the calibration parameter Rmax
for fura-2, fura-2FF, and mag-fura-5 directly in Purkinje cell dendrites. This
parameter is subject to change when indicators are introduced into a cell. As
calcium levels become sufficiently high to cause the ratio to approach
Rmax (the fluorescence ratio at saturating
Capost), measurements of Capost become extremely
sensitive to Rmax. Hence, errors in measuring
Rmax greatly distort measurements of calcium at
concentrations above the KD of the indicator. To measure
Rmax in situ, we elevated calcium in the cell by
bath applying the calcium ionophore ionomycin
(Erdahl et al., 1995
;
Wang et al., 1998
) in the
presence of 10 mM calcium (Fig.
1C). By comparing fluorescence ratios of fura-2FF and
fluo-5N (Fig. 1Ca,Cb),
it is apparent that the plateau of the fura-2FF fluorescence ratio indicates
that the indicator is saturated, because the fluorescence ratio of the
lower-affinity fluo-5N continues to increase, indicating that calcium
continues to rise. These results indicate that the fluorescence ratio of
fura-2FF has reached its maximum, thereby providing us with an in
situ measurement of Rmax. In this manner, using
fluo-5N to verify that the higher-affinity indicator reached saturation, we
measured Rmax in situ for fura-2, fura-2FF, and
mag-fura-5.
It was not possible to elevate calcium levels within cells sufficiently to
saturate the fluo-5N response and directly measure Rmax
for this indicator. However, fluo-5N has such a low affinity
(Table 1) that calcium levels
in our experiments do not lead to ratio changes that approach
Rmax for fluo-5N, and as a result slight changes in
Rmax have minor effects on Capost measurements
with fluo-5N. We therefore used cuvette values of Rmax to
convert fluo-5N fluorescence to calcium concentrations.
We also estimated the calibration parameter Rmin within
cells by bath applying ionomycin in the presence of
10 nM
external calcium (4 mM EGTA with no added Ca). We found that
changes in Rmin from loading in cells were small.
Moreover, estimates of the large calcium levels required to evoke
endocannabinoid release were not highly sensitive to
Rmin.
Cuvette measurements of Rmin and
Rmax were made using the experimental imaging system with
a 30 µM path length cuvette placed on the stage of the
microscope. Our standard cesium intracellular solution was supplemented with
indicators. Rmin was measured in the presence of 6
mM EGTA and no added calcium. Rmax was measured
with 10 mM CaCl2.
For measuring cellular calcium transients with fura-2, fura-2FF, and
mag-fura-5, we used the Rmin value obtained in a cuvette
and the Rmax value obtained in situ. Because we
could not experimentally verify that fluo-5N was saturating during ionomycin
application, cuvette values of Rmin and
Rmax were used.
Cellular imaging. Imaging was conducted using a Cooke Sensicam QE
mounted on an Olympus BX51 upright microscope equipped with a 60x, 0.9
numerical aperture objective. The imaging protocols for measurement of calcium
transients evoked by voltage steps consisted of sets of three images (20 msec
exposure) acquired in succession at the three appropriate excitation
wavelengths (
1,
2,
3)
(Fig. 1 B,
Table 1) using a rapid
wavelength switching monochromator (Till Photonics, Grafelfing, Germany).
Groups of three images were collected every 250 msec for 10 sec. There was a 6
msec delay between successive images at each time point. The voltage step
began after 1 sec of imaging. Fluorescence excitation was restricted to a
small area including the Purkinje cell dendrites and an adjacent cell-free
region that was used for background correction. Care was taken to exclude the
soma from the area of excitation. Photo-bleaching of indicators during imaging
protocols was <1%. Data analysis was performed with Vision Software (Till
Photonics) and Igor (Wave-metrics, Lake Oswego, OR).
Calcium indicators were obtained from Molecular Probes (Eugene, OR) with
the exception of fura-2FF, which was from Teflabs (Austin, TX). Ionomycin was
from Molecular Probes. NBQX was from Tocris (Ellisville, MO), and bicuculline
was from Sigma (St. Louis, MO).
 |
Results
|
|---|
Our strategy for determining the calcium sensitivity of retrograde
inhibition was to combine calcium measurements with voltage-clamp recordings
of synaptic responses to quantify the relationship between postsynaptic
calcium levels and retrograde endocannabinoid inhibition. This approach
required two preliminary steps. First we needed to establish recording
conditions for controlled elevation of calcium. This is difficult because
Purkinje cell dendrites tend to fire calcium action potentials, which result
in large calcium transients that do not depend on the length of the
depolarization. Second, we needed to quantify postsynaptic calcium levels.
Although there have been many studies of calcium signaling in Purkinje cells
(Ross and Werman, 1987
;
Tank et al., 1988
;
Khodakhah and Armstrong, 1997
;
Finch and Augustine, 1998
;
Takechi et al., 1998
;
Wang et al., 2000
), we needed
to develop methods to determine absolute levels of calcium before we could
ultimately determine the calcium dependence of retrograde signaling by
endocannabinoids.
Using voltage steps to produce graded calcium transients
Our first goal was to control calcium influx. We took several steps to
achieve voltage control sufficient to prevent spiking and permit regulation of
the duration of calcium currents. First, we used a cesium-based internal
solution with added TEA and QX-314 to block potassium and sodium channels.
Second, we recorded from Purkinje cells from postnatal day (P) 10P12
rats, which have electrically compact dendritic trees. The size of the
dendritic arbor of the Purkinje cells used in this study is indicated by the
fluorescence image of a cell loaded with the calcium-indicator fura-2FF
(Fig. 2A). It was
difficult to control calcium entry into Purkinje cells from animals older than
P12, because brief depolarizations evoked dendritic calcium spikes. Finally,
delivery of a 200 msec voltage ramp from -90 to -60 mV after the voltage step
helped to suppress spiking (Fig.
2B, top). Under these conditions, voltage steps generally
did not produce dendritic spikes and uncontrolled calcium entry
(Fig. 2B, bottom).
Recordings were terminated if cells spiked during voltage steps. Calcium
transients were measured in dendritic regions selected from
Figure 2A (right) and
are shown here as
F/F
(Fig. 2C). The
amplitudes of calcium transients were graded, progressively increasing with
the duration of the voltage step. These recording methods were used in
subsequent experiments for indicator calibration and measurements of
retrograde inhibition.

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Figure 2. Graded calcium transients in cerebellar Purkinje cells. A,
Purkinje cell from a P10 rat in a sagittal slice. The cell was loaded with
fura-2FF and excited at 380 nm. B, Top, Voltage steps from -60 to 0
mV were delivered for a duration of 1001000 msec, followed by a 200
msec ramp from -90 to -60 mV. Bottom, Calcium currents recorded in the
presence of intracellular Cs, TEA, and QX-314. C, Graded fluorescence
transients were produced by voltage steps from B, delivered at the
time indicated by the arrow, with the largest transients corresponding to the
longest depolarizations. A region selected from the image in A
(right) was used for analysis. Exposures were obtained at 250 msec
intervals.
|
|
Quantification of dendritic calcium transients in Purkinje cells
We addressed two issues to quantify calcium levels with fluoro-metric
indicators. First, we needed to select an indicator with appropriate calcium
sensitivity. If the affinity were too high, the indicator would become
saturated during calcium transients and it would not provide accurate
estimates of Capost. If the affinity were too low, the indicator
would have poor sensitivity. A second issue is that the properties of
indicators can change both as a result of buffer composition and from
cytoplasmic interactions within cells
(Konishi et al., 1988
;
Harkins et al., 1993
;
Kurebayashi et al., 1993
).
Therefore we could not rely exclusively on in vitro calibrations, and
we needed to determine the properties of the indicators within Purkinje
cells.
As described in Materials and Methods, several steps were taken to address
these concerns. Indicators were chosen for calibration on the basis of their
affinities and spectral properties (Table
1). We selected three ratiometric indicators (fura-2, fura-2FF,
and mag-fura-5) that can be calibrated using Equation 1
(Grynkiewicz et al., 1985
).
These indicators have very similar excitation peaks in the UV portion of the
spectrum and similar emission peaks. However, they differ in their calcium
affinities (131 nM, 7.7 µM, 38 µM,
respectively, in our internal solution) and therefore are suited to measuring
calcium over different concentration ranges. We also used fluo-5N, a
single-wavelength dye, to evaluate the three ratiometric indicators. Fluo-5N
has several useful properties. First, its extremely low affinity for calcium
(KD = 410 µM) makes it unlikely to become
saturated during dendritic calcium transients. Second, in cuvette experiments
(see Materials and Methods) we found that protein binding did not
significantly alter the affinity of fluo-5N
(Fig. 1Ab), which
suggests that the dissociation constant determined in a cuvette is appropriate
for quantifying calcium levels within a cell, regardless of the extent to
which fluo-5N is bound to protein. Finally, its spectral properties
(excitation peak at 490 nm) allow it to be loaded simultaneously with the
other indicators but excited independently. This allowed us to use fluo-5N to
evaluate fura-2, fura2-FF, and mag-fura-2 by comparing independent
measurements obtained from pairs of indicators (fura-2/fluo-5N,
fura-2FF/fluo-5N, and mag-fura-5/fluo-5N), as shown in
Figure 3.

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Figure 3. Quantification of dendritic calcium transients. Purkinje cells were loaded
with different indicator pairs, fura-2/fluo-5N (A), fura-2FF/fluo-5N
(B), and mag-fura-5/fluo-5N (C). Fluorescence transients
produced by a series of voltage steps were then measured simultaneously for
each pair of indicators. Fluorescence ratios are plotted for fura-2, fura-2FF,
or mag-fura-5 in a, and Rmin and
Rmax are indicated in with dotted line. Fluorescence
ratios for fluo-5N are plotted in b. Ratios determined with indicator
pairs are compared in c, where ratios were normalized so that
Rmin = 0 and Rmax = 1. Ind
and e, calciumvalues were then calculated from the traces in
a and b, respectively, using the using calibration
parameters described in Materials and Methods. In f the values of
calcium determined for each of a pair of indicators are plotted for the
purpose of comparison. A line with a slope of 1 is indicated with dotted
lines, and regressions of the data points are indicated with solid lines with
slopes of 1.06 for Af, 1.02 for Bf, and 1.04 for
Cf. In A and B, voltage steps (50, 100, 250, 500,
1000 msec) were delivered, and in C, the 50 msec voltage step was
omitted. In Aa, Ab, Ad, and Ae, gray traces correspond to 50
and 100 msec depolarizations. In Ae and Af, calcium
concentrations calculated from fura-2 fluorescence ratios that exceeded 2
µM were not displayed. Points corresponding to calculated values
of Capost >77 µM (10 times the
KD of fura-2FF) or 380 µM (10 times the
KD of mag-fura-5) were not displayed in Bf and
Cf, respectively.
|
|
Experiments in which Purkinje cells were loaded with fura-2 and fluo-5N
revealed that the affinity of fura-2 is too high for our purposes.
Fluorescence ratios for both indicators were measured simultaneously during a
series of voltage steps of 501000 msec
(Fig. 3Aa,Ab). Fura-2
exhibited nonsaturating ratio changes during voltage steps of 50 or 100 msec
duration (Fig. 3Aa,
gray traces), but because of its high affinity for calcium
(KD = 131 nM), fura-2 saturated completely
during voltage-step durations of 2501000 msec
(Fig. 3Aa). Fluo-5N,
because of its low affinity for calcium (KD = 410
µM), did not exhibit a detectable fluorescence change during
voltage steps of 50100 msec (Fig.
3Ab, gray traces). Comparison of the normalized ratio
changes indicates that fura-2 saturates completely with calcium signals that
cause a <1% change in the fluorescence ratio of fluo-5N
(Fig. 3Ac).
Fluorescence ratios from fura-2 and fluo-5N were converted to calcium
concentrations (Fig.
3Ad,Ae). Calcium measurements from these two indicators
are difficult to compare because their dissociation constants differ by a
factor of several thousand (Fig.
3Af). It is apparent, however, that fura-2 readily
saturates and is not suitable for measuring dendritic calcium transients
during voltage steps >100 msec.
Similar experiments revealed that fura-2FF is well suited to measuring the
Capost transients that produce retrograde inhibition. Fluorescence
ratios obtained during voltage steps of 501000 msec are shown for
fura-2FF (Fig. 3Ba)
and fluo-5N (Fig.
3Bb). The plot of the fluorescence ratio of fura-2FF
versus the ratio of fluo-5N shows that there is some saturation of the
fura-2FF response during calcium transients that cause large fluorescence
signals in fluo-5N (Fig.
3Bc). We then compared the calcium concentrations
estimated with fura-2FF (Fig.
3Bd) and fluo-5N (Fig.
3Be). Because peak calcium levels during long voltage
steps saturated fura-2FF (Fig.
3Ba,Bc), we discarded calcium measurements that exceeded
77 µM (10-fold above the KD of fura-2FF). In
this concentration range, calcium measurements made with fura-2FF and fluo-5N
were in close agreement (Fig.
3Bf), as indicated by the linear regression of fura-2FF
calcium values versus fluo-5N calcium values, which had a slope of 1.03. In a
group of eight cells that were loaded with fura-2FF and fluo-5N, the slope of
this regression was 0.99 ± 0.03. We conclude that fura-2FF and fluo-5N
report calcium concentrations that are in agreement up to
80
µM.
Similar experiments suggested that mag-fura-5 is also suitable for
quantifying calcium levels arising from Purkinje cell depolarization
(Fig. 3C). After
conversion of fluorescence ratios (Fig.
3Ca,Cb) to calcium concentrations
(Fig. 3Cd,Ce), we
compared calcium estimates obtained with mag-fura-5 and fluo-5N, considering
values up to 10-fold greater than the KD of mag-fura-5, or
380 µM. Because of its low affinity (KD = 38
µM), mag-fura-5 does not saturate during calcium transients that
cause large fluorescence changes in fluo-5N
(Fig. 3Cc). For the
cell shown in Figure
3C, the slope of the linear regression of calcium
concentrations measured with fluo-5N versus mag-fura-5 had a slope of 1.04
(Fig. 3Cf). For a
group of 10 cells examined in this manner, the slope of a regression of
calcium measurements from magfura-5 versus fluo-5N was 1.02 ± 0.03. We
conclude that measurements of calcium with mag-fura-5 and fluo-5N are in
agreement at concentrations up to 380 µM. Moreover, despite its
sensitivity to magnesium (see Materials and Methods), magfura-5 appears to be
a suitable indicator for measuring calcium transients in Purkinje cells.
On the basis of these experiments, we conclude that fura-2FF and mag-fura-5
are suitable for measuring absolute calcium concentrations during
depolarization of Purkinje cells. This conclusion rests on the close agreement
of these two indicators with fluo-5N when the indicators were simultaneously
loaded and imaged. On the basis of its fivefold lower KD,
fura-2FF is better suited to the smaller calcium levels produced by brief
depolarizations. Fura-2, however, readily saturates during brief
depolarizations, and because of its high affinity it could not resolve calcium
transients during depolarizations >100 msec. The agreement between the
simultaneously loaded indicators suggests that despite the shift in
KD seen for fura-2FF and mag-fura-5 caused by addition of
BSA (Fig. 1,
Table 1), such a shift does not
occur in the cell. If we had been unable to determine the
KD values of these indicators within Purkinje cells, our
estimates of Capost on the basis of in vitro KD
values would be lower bounds subject to the uncertainty of the extent to which
the KD shifted to higher values within cells. Also, the
linear relation between calcium measurements obtained with the simultaneously
loaded dyes indicates that the experiments with ionomycin provide an accurate
measurement of Rmax. For subsequent experiments that
measured the calcium dependence of retrograde inhibition, we used a single
calibrated indicator, either fura-2FF or mag-fura-5, to minimize the duration
of fluorescence excitation and bleaching.
Capost dependence of DSE
We next combined synaptic recordings with calcium imaging to determine the
relationship between peak dendritic Capost and the extent of
retrograde inhibition by endocannabinoids at synapses onto Purkinje cells. Our
experimental approach was to deliver a series of voltage steps to the Purkinje
cell to elevate Capost to different levels and then determine the
relationship between Capost and the resulting synaptic inhibition.
Recent studies have suggested that metabotropic receptor activation may
modulate the calcium dependence of cannabinoid release or even evoke
calcium-independent cannabinoid release
(Maejima et al., 2001
;
Ohno-Shosaku et al., 2001
;
Varma et al., 2001
;
Kim et al., 2002
;
Doherty and Dingledine, 2003
).
Here we focus on the calcium-dependent release of endocannabinoids in the
absence of metabotropic receptor activation at CF, PF, and inhibitory synapses
onto Purkinje cells.
Parallel fiber DSE
We first examined DSE at the parallel fiber to Purkinje cell synapse
(Fig. 4). Each Purkinje cell
receives inputs from thousands of parallel fibers that form synapses onto
distal portions of its dendrites (Palay
and Chan-Palay, 1974
). Parallel fiber synapses were stimulated by
placing a stimulus electrode in the molecular layer. PF EPSCs were evoked at
0.5 Hz, allowing us to monitor the onset and recovery of DSE after
depolarizations. Short-term facilitation, the predominant form of plasticity
at this synapse, decays with a time course of 200 msec and does not alter the
amplitude of EPSCs evoked at this stimulus rate
(Atluri and Regehr, 1996
). In
this initial series of experiments, Purkinje cells were loaded with fura-2FF.
Calcium transients resulting from voltage steps of 1001000 msec were
imaged in distal portions of Purkinje cell dendrites in the region close to
the stimulus electrode (Fig.
4A). Fluorescence ratios obtained from fura-2FF were
converted to Capost using the calibration parameters described
previously. After 10 stimuli to measure a stable baseline EPSC amplitude,
voltage steps of varying durations were delivered to evoke DSE
(Fig. 4B). Parallel
fiber stimulation resumed 1 sec after the end of the voltage step. Inhibition
of parallel fiber EPSCs was maximal at 37 sec after the voltage step
(Fig. 4B, top panel,
vertical dashed lines). To quantify DSE, we averaged three EPSCs preceding the
depolarization ("pre") and three EPSCs evoked 37 sec after
the depolarization ("post"). In addition, three EPSCs were
averaged at 5559 sec after the depolarization ("rec")
(Fig. 4B, bottom
panel). Peak DSE was defined as 1 - (post/pre) and ranges from 0 (no
inhibition) to 1 (complete inhibition of EPSCs). Depolarizations ranging from
100 to 1000 msec evoked progressively larger dendritic calcium transients
(Fig. 4A) and greater
amounts of DSE (Fig.
4B). From each depolarization trial we obtained a value
of peak Capost and a corresponding value of peak parallel fiber
DSE. By repeating this protocol with varying durations of depolarization, we
were able to plot the relationship between peak DSE and Capost for
a single cell (Fig.
4C). By fitting the data points obtained in this manner
to the Hill equation, we determined the Capost that produces
half-maximal DSE (Ca0.5) and the Hill coefficient that describes
the cooperativity of the relationship between Capost and DSE. For
the cell shown in Figure 4,
Ca0.5 was 14.2 µM, and the Hill coefficient was
2.5.

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Figure 4. Calcium dependence of DSE at the parallel fiber to Purkinje cell synapse.
A, DSE of parallel fiber EPSCs was measured after voltage steps of
1001000 msec delivered to a Purkinje cell loaded with fura-2FF. Voltage
steps (top) and resulting calcium transients (bottom) are imaged in the
dendritic region of parallel fiber stimulation. B, DSE was evoked by
a voltage step delivered after the 10th parallel fiber stimulus (top). Traces
are averages of three EPSCs at the indicated time (pre, post, rec).
C, Peak DSE was calculated as 1 - (EPSCpost
/EPSCpre) and plotted versus Capost. DSE was
half-maximal at Capost = 14 µM, and the Hill
coefficient was 2.5. DSEmax was 0.89. DSEmax and
Ca0.5 are indicated by horizontal and vertical dashed lines,
respectively. Data in AC were obtained from one
cell.
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To determine the calcium dependence of PF DSE, this experimental approach
was repeated on five neurons loaded with fura-2FF. The relation between peak
Capost and peak DSE is shown in
Figure 5A. Maximum DSE
(DSEmax) after long voltage steps was 0.89 ± 0.02. Fits of
the Hill equation have been made to data from each cell. For clarity, DSE
values were normalized to the maximum DSE obtained in each cell so that data
range between 0 and 1. For these experiments, Ca0.5 = 15.3 ±
1.1 µM, and the Hill coefficient was 2.3 ± 0.2.

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Figure 5. Summary of calcium dependence of parallel fiber DSE. A, Data from
five cells loaded with fura-2FF. For clarity, peak DSE values from each cell
were normalized. Each cell is represented by a different plot symbol. Fits of
the Hill equation to the data points from each cell are superimposed. For five
cells, half-maximal DSE occurred at peak Capost = 15.3 ± 1.1
µM, cooperativity was 2.3 ± 0.2, and peak DSE was 0.89
± 0.02. B, Data from five cells loaded with mag-fura-5.
Half-maximal DSE occurred at peak Capost = 17.4 ± 1.0
µM, cooperativity was 1.2 ± 0.10, and DSEmax
was 0.91 ± 0.02.
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|
To confirm these measurements of the calcium dependence and cooperativity
of PF DSE, we performed further experiments using a different calcium
indicator, mag-fura-5. Using the same experimental technique as illustrated in
Figure 4, we measured the
relationship between Capost and PF DSE in five neurons using
mag-fura-5 to measure Capost
(Fig. 5B). In these
cells, Ca0.5 = 17.4 ± 1.0 µM, and the Hill
coefficient was 1.2 ± 0.1. DSEmax was 0.91 ± 0.02.
Measurements of Ca0.5 obtained with fura-2FF and mag-fura-5 for DSE
at the parallel fiber synapse are statistically indistinguishable (p
= 0.36; t test); however, estimates of the Hill coefficient obtained
with fura-2FF and mag-fura-5 differed (p < 0.01, t test).
The lower estimate of cooperativity obtained with mag-fura-5 may result from
the difficulty of resolving small calcium transients, less than one-tenth of
the KD of mag-fura-5 (<
4 µM), which
are critical for accurately measuring cooperativity. Fura-2FF on the other
hand was able to resolve these small calcium signals and reported a higher
degree of cooperativity in the relationship between postsynaptic
Capost and parallel fiber DSE.
Climbing fiber DSE
We next determined whether the calcium dependence of DSE was similar at the
other excitatory synapse onto Purkinje cells, the climbing fiber synapse
(Fig. 6). Purkinje cells
receive a single powerful climbing fiber synapse that consists of hundreds of
release sites located in proximal regions of Purkinje cell dendrites
(Palay and Chan-Palay, 1974
;
Xu-Friedman et al., 2001
).
Climbing fiber synapses are subject to inhibition by endocannabinoids
(Kreitzer and Regehr, 2001b
).
We determined the calcium dependence of CF DSE using an approach that was
similar to that used for PF DSE, but with slight modifications to take into
account distinct properties of the synapses. Because prominent synaptic
depression is observed with repetitive stimulation of CF synapses
(Eccles et al., 1966
), we
stimulated the CF synapse at 30 sec intervals to allow full recovery from
depression between successive EPSCs. This enabled us to measure inhibition of
CF EPSCs that resulted from retrograde endocannabinoid inhibition and not from
other forms of short-term plasticity such as vesicle depletion. Voltage steps
were delivered to voltage-clamped Purkinje cells loaded with fura-2FF, and
resulting calcium transients were imaged in proximal dendritic regions
corresponding to the location of climbing fiber synapses
(Fig. 6A). The voltage
step was timed to precede the test stimulus by 5 sec
(Fig. 6B, top).
Voltage steps of 2002000 msec produced progressively greater
Capost and greater inhibition of CF EPSCs
(Fig. 6B, bottom). We
determined the baseline EPSC amplitude averaging the three EPSCs preceding the
voltage step (pre) and used the EPSC after the voltage step (post) to quantify
CF DSE as 1 - (post/pre).

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Figure 6. Calcium dependence of DSE at the climbing fiber to Purkinje cell synapse.
A, DSE was evoked with Purkinje cell depolarizations of
2002000 msec (top), which evoked calcium transients measured in
proximal dendrites (bottom). B, EPSCs were evoked at 30 sec
intervals. EPSCs marked post and rec were evoked at 5 and 35 sec after thet
ermination of the voltage step. C, Peak DSE was calculated for each
trial as 1 - (EPSCpost /EPSCpre) and plotted against
peak Capost. DSEmax and Ca0.5 are indicated
by horizontal and vertical dashed lines, respectively. Data fromA and
B were obtained from four consecutive trials. Data from
AC were obtained from one cell. In this cell,
half-maximal DSE occurred at Capost = 16 µM,
cooperativity was 2.6, and DSEmax was 0.68. D, Data from
six cells, as obtained in C. Each cell is indicated by a different
plot symbol, and fits of the Hill equation for each cell are superimposed. For
six cells, half-maximal DSE occurred at peak Capost = 18.5 ±
0.7 µM, cooperativity was 2.0 ± 0.2, and
DSEmax was 0.47 ± 0.08.
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To determine the relationship between peak Capost and DSE for
climbing fiber synapses, we repeated this protocol of delivering voltage steps
and measuring Capost and DSE
(Fig. 6C). For the
neuron shown in Figure
6AC, half-maximal DSE occurred at
Capost = 16.0 µM, and the Hill coefficient was 2.6.
This procedure was repeated on six neurons
(Fig. 6D). Each cell
is indicated with a different plot symbol. For these cells, DSE at the
climbing fiber synapse was half-maximal at Capost = 18.5 ±
0.7 and had a Hill coefficient of 2.0 ± 0.2. The values of
Ca0.5 and the Hill coefficient at CF synapses are very similar to
those described above for PF synapses. DSEmax at the climbing fiber
synapse was 0.47 ± 0.08. This value is roughly half of the maximum DSE
observed at parallel fiber synapses. Thus DSE at CF and PF synapses shows a
similar low sensitivity to Capost and high cooperativity, although
the maximal extent of endocannabinoid inhibition is less at CF compared with
PF synapses.
Calcium dependence of DSI
Thus far we have seen that extremely high levels of calcium are required
for DSE, almost 100 times as large as has been reported previously for DSI.
This raises the question of whether there are large differences in the calcium
levels needed to produce retrograde suppression of excitatory and inhibitory
synapses or whether previous studies may have underestimated the calcium
levels required for DSI. We therefore determined the Capost
dependence of DSI.
Purkinje cells receive inhibitory synaptic inputs from stellate and basket
cells that are located in the molecular layer of the cerebellum
(Palay and Chan-Palay, 1974
)
and are sensitive to inhibition by endocannabinoids. Previous studies of
cerebellar DSI have shown that endocannabinoids inhibit transmitter release
from inhibitory nerve terminals by modulating presynaptic calcium channels
(Kreitzer and Regehr, 2001a
;
Diana et al., 2002
), altering
miniature IPSC frequency (Takahashi and
Linden, 2000
) and reducing spontaneous firing of interneurons
(Kreitzer et al., 2002
). To
facilitate comparison between different synapses, we determined the calcium
dependence of DSI using techniques similar to those used for measurement of CF
and PF DSE.
In contrast to the stereotypical localization of excitatory PF and CF
synapses on Purkinje cells, the location of inhibitory synapses is more
varied. Stellate cells form synapses over a wide area of the dendritic tree,
and basket cell terminals form specialized arbors in axosomatic regions. In
our experiments, IPSCs were evoked at 0.5 Hz with a stimulus electrode placed
in the molecular layer. DSI was quantified by measuring inhibition of evoked
IPSCs (eIPSCs) evoked 37 sec after the depolarization in the same
manner as measurements of PF DSE. We measured calcium transients
(Fig. 7A) and
inhibition of eIPSCs (Fig.
7B) in Purkinje cells after depolarizations of different
durations. Dendritic calcium transients were measured near the location of the
stimulus electrode, but the location of the activated synapses was not
certain. Data from one cell are shown in
Figure
7AC. Depolarizations that ranged from 150
to 1500 msec produced increasing DSI (Fig.
7B). As in previous experiments, voltage step protocols
were repeated to determine the relationship between Capost and DSI.
Results from a single neuron are shown in
Figure 7C.
Half-maximal DSI in this cell occurred at Capost = 14.5
µM, and the Hill coefficient was 1.0. Maximal DSI was 0.80. This
experiment was repeated on four neurons
(Fig. 7D). For these
cells, DSI was half-maximal at Capost = 16.0 ± 0.7
µM and had a Hill coefficient of 1.3 ± 0.1. The maximal
extent of DSI was 0.82 ± 0.01. We conclude that the calcium sensitivity
of DSI is very similar to that of both PF and CF DSE.

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Figure 7. Calcium dependence of DSI at inhibitory synapses on Purkinje cells.
A, DSI was evoked by voltage steps of 1501500 msec (top), and
resulting calcium transients are shown below (bottom). B, (top) IPSCs
were evokeda t0. 5 Hz. DSI was evoked by voltage steps delivered after the
10th stimulus. C, Peak DSI is plotted against peak Capost
for each trial. DSEmax and Ca0.5 areindicated by
horizontal and vertical dashed lines, respectively. Data in
AC are from one cell. Half-maximal DSI occurred at
Ca-post =14.5 µM, the hill coefficient was 1.0, and
DSI max was 0.80. D, The relationship between DSI and peak
Capost for fourcells. Each cell is represented by a different plot
symbol, and fits of data from each cell to the Hill equation are shown. For
four cells, half-maximal DSI occurred at peak Capost = 16.0±
0.7 µM, cooperativity was 1.3 ± 0.1, and
DSImax was 0.82 ± 0.01.
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Discussion
|
|---|
Our primary finding is that half-maximal retrograde inhibition by
endocannabinoids occurs with postsynaptic calcium levels of
15
µM at excitatory and inhibitory synapses onto Purkinje cells. In
addition, DSE at PF and CF synapses had Hill coefficients of 22.3,
indicating a moderate degree of cooperativity between Capost and
retrograde endocannabinoid inhibition. The high requirement for calcium shown
in this study suggests that release of endocannabinoids by Purkinje cells may
occur only in localized regions of dendrites that experience large elevations
of calcium.
Quantifying calcium levels within Purkinje cells
The approach that we took to quantify dendritic calcium transients in
Purkinje cells has general implications for the fluoro-metric measurements of
calcium levels for cells in brain slices. The key steps were to perform both
cuvette and in situ calibrations and to assess the responses of
ratiometric indicators by simultaneously monitoring responses of the
single-wavelength indicator fluo-5N. First, we selected the indicators with
the appropriate sensitivities and found that fura-2FF and mag-fura-5 were both
appropriate for measuring calcium transients evoked by depolarizations of
sufficient duration to produce retrograde synaptic inhibition. In contrast,
fura-2 was not appropriate because it readily saturated during brief voltage
steps as a consequence of its high affinity. The dissociation constant of
fura-2FF (7.7 µM) makes it well suited to measuring calcium
transients <5 µM that enabled us to resolve the steep
cooperativity of the relationship between Capost and DSE. Second,
we determined Rmax in situ for fura-2, fura2-FF,
and mag-fura-5 by using a calcium ionophore to increase Capost and
used fluo-5N to ensure that Capost had been elevated sufficiently.
Finally, we assessed whether binding to protein might affect the sensitivity
of indicators within Purkinje cells. Although in cuvette measurements the
addition of protein increased the KD of fura-2, fura-2FF,
and mag-fura-5, the KD of fluo-5N was unaffected. We took
advantage of this insensitivity of fluo-5N to determine the appropriate
dissociation constants for fura-2 FF and mag-fura-5 in Purkinje cells. Our
results suggest that neither of these indicators undergoes a shift in affinity
within Purkinje cells. By eliminating a three- to fourfold uncertainty in the
KD, we were better able to determine
Capost.
Calcium dependence of retrograde inhibition
We found similarities and differences in the Capost dependence
of retrograde inhibition at the three synapses that we studied. Although
Ca0.5 was similar at all of the synapses (
15
µM), the Hill coefficients and extent of retrograde inhibition
differed. For CF and PF synapses the Hill coefficient was 22.3, whereas
it was only 1.3 for inhibitory synapses. The maximal extent of inhibition
ranged from a reduction of 89% for PF synapses to 82% for inhibitory synapses
and 47% for CF synapses.
In considering the factors underlying such differences in the extent and
Capost dependence of retrograde inhibition, it is necessary to
consider the many steps between the initial elevation in Capost and
the reduction in synaptic strength. (1) Endocannabinoids are synthesized and
released in a calcium-dependent manner
(Devane et al., 1992
;
Di Marzo et al., 1994
;
Stella et al., 1997
). (2)
After their liberation, endocannabinoids must diffuse to the presynaptic
terminal. Factors determining the amplitude and duration of endocannabinoid
signal available to activate presynaptic receptors include diffusion, uptake,
and degradation (Cravatt et al.,
1996
; Beltramo et al.,
1997
; Di Marzo et al.,
1998
). (3) Endocannabinoids then bind to presynaptic CB1
receptors, which leads to (4) the inhibition of presynaptic calcium channels
(Kreitzer and Regehr, 2001b
;
Diana et al., 2002
;
Howlett et al., 2002
), which
in turn (5) reduces the release of neurotransmitter
(Levenes et al., 1998
;
Takahashi and Linden, 2000
;
Kreitzer and Regehr,
2001a
,b
),
ultimately leading to a reduction in the postsynaptic response. Although
little is known about steps 13, much is known about the relationship
between presynaptic calcium influx (Capre) and EPSC amplitude at PF
and CF synapses. The relationship between Capre and EPSC amplitude
at PF and CF synapses is different. Notably, at the PF synapse there is a
power-law dependence of the EPSC on Capre
(Mintz et al., 1995
;
Sabatini and Regehr, 1997
),
whereas at the CF synapse this relationship exhibits saturation
(Fig. 8Aa,Ba)
(Foster et al., 2002
). These
differences in the dependence of EPSCs on Capre will differentially
influence the manner in which modulation of Capre by
endocannabinoids ultimately affects the EPSC at PF and CF synapses.

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Figure 8. Contributions of the relation ship between Capre and EPSC to the
Capost dependence of retrograde inhibition. Aa, Dependence
of the EPSC on Capre at parallel fiber synapses, which is described
by an equation of the form EPSC = k(Capre)3.
Ab, Relationship between PFDSE and Capost, which is
described by DSE = DSEmax/(1 +
(Ca0.5/Capost)n). Parameters of this plot are
from Figure 5A, with
DSEmax = 0.89, Ca0.5 = 15.3, and n = 2.3.
Ac, We next used the power law, above, to calculate the relationship
between endocannabinoid-mediated inhibition of Capre and
Capost. Capre was calculated using Aa and
Ab. Maximum inhibition of Capre is 52%, inhibition of
Capre is half-maximal with Capost = 20.8
µM, and the Hill coefficient of 2.0. Ba, Dependence of
the CF EPSC on Capre, which is described by EPSC = 1.1
(Capre n/(Capre n +
KD n), where n = 4.5 and
KD = 0.6 mM
(Foster et al., 2002 ).
Bb, The relationship between climbing fiber DSE and Capost
from Figure 6D. The
relation has the same form as in Ab, and the parameters are
DSEmax = 0.47, Ca0.5 = 18.5, and n = 2.0.
Bc, As in A of this figure, we determined the relationship
between endocannabinoid-mediated inhibition of Capre versus
elevation of Capost at climbing fiber synapses. Maximum inhibition
of Capre is 42%, inhibition of Capre is half-maximal
with Capost = 12.3 µM, and the Hill coefficient is
1.8.
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We therefore assessed how the relationship between Capre and
EPSCs influences the Hill coefficient, the Capost sensitivity, and
the extent of retrograde inhibition at PF and CF synapses. For PF and CF
synapses, we used the known relationship between Capre and EPSC
amplitude (Fig.
8Aa,Ba) and our experimentally determined measurement of
the dependence of DSE on Capost
(Fig. 8Ab,Bb) to
express modulation of Capre as a function of Capost
during retrograde inhibition (Fig.
8Ac,Bc). Although multiple mechanisms may contribute to
endocannabinoid modulation, at the PF and CF synapses the effects of
endocannabinoids reflect a reduction of presynaptic calcium influx
(Kreitzer and Regehr, 2001b
;
S. Brown and W. Regehr, unpublished observations), and there is no evidence
for cannabinoid-mediated effects downstream of calcium influx
(Takahashi and Linden, 2000
).
Therefore, this analysis allows us to examine the ability of endocannabinoids
to directly modulate presynaptic calcium influx. Although DSEmax
was 89 and 47% for PF and CF synapses, respectively, the underlying retrograde
inhibition of Capre was 52 and 42% for PF and CF synapses. This
indicates that although inhibition of presynaptic calcium is similar at PF and
CF synapses, the difference in the relationship between Capre and
EPSC amplitudes produces large differences between DSEmax at PF and
CF synapses.
We also found that the relationship between Capre and EPSC
amplitude at PF versus CF synapses altered the apparent Capost
sensitivity of retrograde inhibition. At PF synapses, Ca0.5 for
inhibition of EPSCs and for inhibition of Capre was 15.3 and 20.9
µM, respectively. At CF synapses, Ca0.5 for
inhibition of EPSCs and Capre was 18.5 and 12.3 µM,
respectively. This comparison of postsynaptic calcium required for
half-maximal inhibition of EPSCs versus Capre revealed that at a
saturating synapse such as CF synapses, the Capost required for
half-maximal inhibition of Capre compared with inhibition of EPSCs
shifts to lower values and at a nonsaturating synapse such as PF synapses the
shift is to higher values. Thus, the relationship between Capre and
EPSC amplitude alters the Capost dependence of retrograde
inhibition, but the effects are small.
The final issue that we addressed was the source of cooperativity in
endocannabinoid-mediated retrograde inhibition. We considered the possibility
that the steep relationship between Capre and the EPSC might
account for steep Hill coefficients of 22.3 for the relationship
between Capost and DSE. On the basis of the analysis in
Figure 8, however, we found
that the cooperativity changes only slightly when we consider the effects of
Capost on Capre, shifting the Hill coefficients to
1.82.0, thus indicating that the cooperativity of DSE occurs at a stage
before presynaptic calcium influx. This is consistent with previous studies
that found varying degrees of cooperativity (Hill coefficients of 1.23)
in channel modulation by neurotransmitters
(Ito et al., 1992
;
Krapivinsky et al., 1995
;
Sodickson and Bean, 1996
,
1998
). The calcium dependence
of endocannabinoid synthesis and release may also be cooperative, contributing
to the steep dependence of retrograde inhibition on postsynaptic calcium.
The Hill coefficient that we measured for the relationship between
Capost and DSI was 1.3, consistent with values of 1.3 and 1
reported previously for DSI in hippocampus and cerebellum, respectively
(Glitsch et al., 2000
;
Wang and Zucker, 2001
). This
suggests the intriguing possibility that there may be less cooperativity at
inhibitory relative to excitatory synapses. However, because the locations of
interneuron synapses are difficult to determine, there is ambiguity regarding
the precise region of dendrites in which to measure calcium. This may
introduce uncertainty to the measurements of calcium dependence of DSI.
Functional implications
The high Capost levels required for retrograde inhibition and
the Hill coefficients of
2 for DSE at PF and CF synapses indicate that
calcium-dependent retrograde inhibition at excitatory synapses has a high
activation threshold. For example, an elevation of Capost to 5
µM results in only 6% inhibition of PF EPSCs, whereas an
elevation of Capost to 25 µM inhibits PF EPSCs by
67%.
Additional factors may also be important under physiological conditions. To
accurately determine the Capost dependence of retrograde
inhibition, we performed experiments at room temperature in young animals in
the absence of metabotropic receptor activation. Considering the many steps
between elevation of Capost and retrograde inhibition, it is likely
that the Capost dependence of retrograde inhibition differs
somewhat at physiological temperatures. The Capost dependence may
also be developmentally regulated. Last, recent studies point to a role for
metabotropic glutamate and acetylcholine receptors in potentiating
Capost-dependent release in evoking release through
calcium-independent mechanisms (Varma et
al., 2001
; Kim et al.,
2002
; Ohno-Shosaku et al.,
2002
; Yoshida et al.,
2002
).
To more fully appreciate the functional implications of the
Capost dependence of endocannabinoid release, it is necessary to
know the magnitude and spatial location of dendritic calcium signals under
different physiological conditions. Numerous studies have shown that calcium
signals in Purkinje cells arise from spontaneous activity and synaptic
activation, both of which can open voltage-gated calcium channels and release
calcium from internal stores (Tank et al.,
1988
; Mikawa et al.,
1997
; Finch and Augustine,
1998
; Takechi et al.,
1998
). These studies indicate that calcium signals in Purkinje
cell dendrites can be widespread and that there are also mechanisms that
provide spatially localized signaling. Many of these studies, however, focused
on spatial and temporal aspects of calcium signaling, and it remains an open
question just how high Capost gets under physiological conditions
and what means of Purkinje cell activation can elevate calcium levels
sufficiently to reach the tens of micromolar levels sufficient to evoke
endocannabinoid release.
 |
Footnotes
|
|---|
Received Mar. 24, 2003;
revised May. 1, 2003;
accepted May. 2, 2003.
This work was supported by National Institutes of Health Grant
RO1-NS32405-01. We thank Michael Beierlein, Dawn Blitz, Solange Brown, Kelly
Foster, Anatol Kreitzer, Patrick Safo, and Matthew Xu-Friedman for comments on
this manuscript and Kim Irwin for technical assistance.
Correspondence should be addressed to Wade Regehr, 220 Longwood Avenue,
Harvard Medical School, Boston, MA 02115. E-mail:
wade_regehr{at}hms.harvard.edu.
Copyright © 2003 Society for Neuroscience
0270-6474/03/236373-12$15.00/0
 |
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