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The Journal of Neuroscience, May 1, 2003, 23(9):3796
Bandpass Filtering at the Rod to Second-Order Cell Synapse in
Salamander (Ambystoma tigrinum) Retina
Cecilia E.
Armstrong-Gold and
Fred
Rieke
Department of Physiology and Biophysics, University of Washington,
Seattle, Washington 98195
 |
ABSTRACT |
The ability to see at night relies on the transduction of single
photons by the rod photoreceptors and transmission of the resulting
signals through the retina. Using paired patch-clamp recordings, we
investigated the properties of the first stage of neural processing of
the rod light responses: signal transfer from rods to bipolar and
horizontal cells. Bypassing the relatively slow phototransduction
process and directly modulating the rod voltage or current allowed us
to characterize signal transfer over a wide range of temporal
frequencies. We found that the rod to second-order cell synapse acts as
a bandpass filter, preferentially transmitting signals with frequencies
between 1.5 and 4 Hz while attenuating higher and lower frequency
inputs. The similarity of the responses in different types of
postsynaptic cell and the properties of miniature EPSCs (mEPSCs)
recorded in OFF bipolar cells suggest that most of the bandpass
filtering is mediated presynaptically. Modeling of the network of
electrically coupled rod photoreceptors suggests that spread of the
signal through the network contributed to the observed high-pass
filtering but not to the low-pass filtering. Attenuation of low
temporal frequencies at the first retinal synapse sharpens the temporal
resolution of the light response; attenuation of high temporal
frequencies removes voltage noise in the rod that threatens to swamp
the light response.
Key words:
rod photoreceptor; signal processing; synapse; bipolar cell; horizontal cell; salamander retina
 |
Introduction |
On a dark night our visual system
detects incident photons with reliability close to limits set by
statistical fluctuations in photon absorption and noise in the rod
photoreceptors (for review, see Rieke and Baylor, 1998
). This exquisite
sensitivity is crucial for normal night vision, much of which occurs at
light levels at which individual rods rarely receive photons. Thus, our
ability to see at night relies on the transduction of single photons by
the rods and reliable transmission of the resulting signals through the
retina. A good deal is known about how rods transduce individual
photons (Baylor et al., 1979
; Pugh and Lamb, 1993
); comparatively
little is known about how the retinal circuitry extracts information
from the rod responses. Here we describe the properties of the first
stage of retinal processing: signal transfer from rods to bipolar and
horizontal cells.
In the dark, vertebrate rods are relatively depolarized and
continuously release glutamate. Absorption of a photon hyperpolarizes the rod and reduces the rate of transmitter release, causing ON bipolar
cells to depolarize and OFF bipolar and horizontal cells to
hyperpolarize. In amphibian rods, absorption of a single photon hyperpolarizes the synaptic terminal 50-200 µV for several seconds (Fain, 1975
; Capovilla et al., 1987
). Both the small size and the long
duration of the rod response raise issues for synaptic transmission.
First, the small responses arrive at the synaptic terminal embedded in
substantial high-frequency voltage noise (Baylor et al., 1980
), making
reliable transmission challenging. Second, extraction of temporal
information requires selective transmission of the early part of the
slow rod response.
Removal of noise and extraction of temporal information form the basis
for theoretical arguments that low temporal frequencies with
intrinsically poor temporal resolution and high temporal frequencies
that are dominated by noise should be attenuated during signal transfer
from rods to second-order cells (Bialek and Owen, 1990
; Rieke et al.,
1991
). Thus theoretically the rod responses should be bandpass filtered
during transmission. In both amphibians (Ashmore and Falk, 1980
;
Schnapf and Copenhagen, 1982
) and mammals (Berntson and Taylor, 2000
;
Euler and Masland, 2000
; Field and Rieke, 2002
), the dim flash
responses of bipolar cells are considerably briefer than those of rods,
providing good evidence for attenuation of low frequencies (Schnapf and
Copenhagen, 1982
; Bialek and Owen, 1990
). Evidence for attenuation of
high frequencies is not nearly as strong.
We investigated the kinetics of rod to bipolar and rod to horizontal
signal transfer using paired patch-clamp recordings. This approach
bypassed the relative slow phototransduction process and permitted
measurement of the gain of signal transfer across a wide range of
temporal frequencies. We found that signal transfer from rods to
second-order cells acts as a bandpass filter with a peak gain near 3 Hz. Several observations suggest that much of the filtering is mediated
by presynaptic mechanisms. Modeling indicated that filtering of the
signal as it travels through the network of electrically coupled rods
could explain some but not all of the observed kinetics of transmission.
 |
Materials and Methods |
Dissection and slicing. Larval tiger salamanders
(Ambystoma tigrinum) (Charles Sullivan, Nashville TN) were
handled according to protocols approved by the Administrative Panel on
Laboratory Animal Care at the University of Washington. Salamanders
were dark adapted overnight, and the dissection was performed using infrared illumination (>850 nm), infrared-visible converters (BE Meyers, Redmond, WA), and night vision goggles (ITT Night Vision, Roanoke, VA). The eyes were removed and hemisected, and the front half
of each eye was discarded. The back half of each eye was cut in two,
placed in HEPES-buffered Ames' solution (HEPES-Ames'; see below), and
stored at 4°C in a light-tight container until use. All experiments
were at room temperature (20-22°C).
For slicing, the retina was gently removed from the eyecup and embedded
in low gelling-temperature agar (3% w/v in HEPES-Ames'; Agarose type
VII-A, Sigma #A-0701). The embedded tissue was bathed in
chilled HEPES-Ames' solution and cut into 300-µm-thick slices using
a vibrating microtome (Leica, VT1000S). Slices were
transferred to a recording chamber containing 5 kU DNase (final
concentration ~6 kU/ml) and held in place with a platinum ring.
Recording and light stimuli. Slices were visualized on an
upright microscope (Nikon, FN600) equipped with a 60×
water immersion objective. Slices were illuminated with infrared light
(>950 nm) and visualized on a video monitor connected to an infrared
camera (COHU model 4815, San Diego, CA). Whole-cell (Hamill et al.,
1981
) and perforated-patch (Horn and Marty, 1988
) recordings were made using Axopatch 200B amplifiers (Axon Instruments, Foster
City, CA). Pipettes were pulled from borosilicate glass and cut to a constant length. Pipettes were positioned under the objective using a
programmable manipulator (Sutter Instruments, Novato, CA);
for paired recordings this permitted one electrode to be changed
without disrupting the other. The recorded responses were filtered at
300 Hz (eight-pole Bessel low pass) and sampled at 1 kHz (ITC16
Interface, Instrutech, Long Island, NY). Command potentials and data acquisition were controlled by custom Igor Pro
(Wavemetrics, Lake Oswego, OR) and C software.
Pipette resistances, measured in standard solutions, were between 8 and
12 M
. Series resistance during recording was typically ~70 M
and was not compensated. These series resistances produced 5-10 mV
errors in the holding potential in addition to low-pass filtering the
time-varying command potentials. Because our focus was on kinetics of
signal transfer, low-pass filtering posed the largest potential
problem; however, this filtering occurred at much higher frequencies
than those used to probe synaptic transmission (the slowest charging
time constant for a rod was 4 msec) and thus did not significantly
influence measurements of the gain of signal transfer at temporal
frequencies <50 Hz.
Paired patch-clamp recordings were made between rods and bipolar or
horizontal cells. Rods were identified by their characteristic morphology. Bipolar and horizontal cells were identified on the basis
of the morphology and the polarity and shape of their light responses.
In early experiments, we confirmed the cell identification by
including 0.1 mM calcein or rhodamine in the pipette
solution and visualizing the morphology of the cell under fluorescence at the end of an experiment. We did not attempt to separate bipolar cells into classes other than ON and OFF.
Light from a light-emitting diode (LED) with a peak output at
470 nm was focused on the slice through a 20× objective used as the
microscope condenser. Light stimuli uniformly illuminated a circular
area 650 µm in diameter centered on the recorded cells. Light
intensities measured at the preparation are given in the Figure
legends. The intensity and timing of light from the LED were controlled
by computer.
Solutions. Retinas were sliced and stored in HEPES-Ames'
solution (Sigma, St. Louis, MO) containing 10 mM HEPES and 5 mM NaCl and
no NaHCO3. During recording, slices were
superfused continuously with bicarbonate ringer containing (in
mM) 110 NaCl, 30 NaHCO3, 2 KCl, 1.6 MgCl2, 1.5 CaCl2,
0.01 EDTA, 10 D-glucose, supplemented with Basal
Medium Eagle amino acids and vitamins (Sigma) diluted 400-fold. The pH was 7.4 when equilibrated with 5%
CO2/95% O2. For whole-cell
recordings pipettes were filled with (in mM): 115 K-aspartate, 10 KCl, 0.5 CaCl2, 5 N-methyl-D-glucamine-N-hydroxyethylene-diaminetriacetate, 10 HEPES, 1 MgATP, 0.1 MgGTP, pH 7.2. For perforated-patch recordings, 1 mg/ml amphotericin-B was added to the internal solution, and the
pipette tips were filled with amphotericin-free solution. All solutions
had an osmotic strength of ~260 mOsm. The liquid junction potential
was between
8 and
10 mV and has not been corrected.
Data analysis. Data was analyzed in Igor Pro
(Wavemetrics) and Excel (Microsoft, Redmond,
WA). B2 Spice (Beige Bag Software, Ann Arbor, MI) was used to model
electrical coupling in the rod network.
 |
Results |
Previous studies characterizing the kinetics of signal transfer
compared the light responses of rods and second-order cells (Schnapf
and Copenhagen, 1982
; Bialek and Owen, 1990
). The rod light response,
however, contains only low temporal frequencies (see Fig. 9); thus this
approach gives a limited view of how signal transfer depends on
temporal frequency. To characterize signal transfer over a wider
frequency range, we bypassed the slow transduction process by using
paired patch-clamp techniques to manipulate the rod voltage or current
directly while measuring the postsynaptic response.
Bipolar and horizontal cell responses to steps in rod voltage
We began by measuring synaptic currents in ON and OFF bipolar and
horizontal cells elicited by a step in rod potential. These experiments
probed the ability of the rod to second-order cell synapse to convey
rapidly changing presynaptic signals. Although these stimuli were not
physiological, they highlighted several important properties of the synapse.
Figure 1A shows
responses of voltage-clamped ON and OFF bipolar cells to a series of
presynaptic voltage steps. Depolarizing the rod from a holding
potential of
60 mV produced transient outward currents in ON bipolar
cells that were nearly symmetrical in their development and decay,
peaking ~100 msec after the voltage step and crossing baseline after
~200 msec (Fig. 1A) (n = 6). In OFF
bipolar (Fig. 1A) (n = 6) and
horizontal (data not shown; n = 2) cells, the same
voltage steps generated inward currents that were also transient, but
much less symmetrical than those of the ON bipolar cells. Responses in
OFF bipolar and horizontal cells peaked ~25 msec after the voltage
step and returned to baseline after ~300 msec. These kinetic
differences (Fig. 1B) are expected given that OFF
bipolar and horizontal cells express fast ionotropic glutamate
receptors, whereas ON bipolar cells express slow metabotropic receptors
(Kim and Miller, 1993
).

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Figure 1.
Presynaptic and postsynaptic kinetics.
A, Postsynaptic current responses recorded in an ON and
an OFF bipolar cell elicited by a family of presynaptic voltage steps.
The presynaptic stimulus is shown in the top panel. Responses elicited
by steps to 0 and 100 mV are highlighted in red and blue. The ON
bipolar responses are the average of 10 stimulus presentations and the
OFF bipolar responses are the average of 5. All of the cells were held
at 60 mV. B, Comparison of the time course of the ON
and OFF bipolar cell responses elicited by presynaptic voltage steps to
0 mV. Both responses were normalized to have amplitudes of
+1.
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Unlike the responses elicited by presynaptic depolarization, the
kinetics of the responses to presynaptic hyperpolarization were similar
in the different types of postsynaptic cells. Hyperpolarizing the
patched rod usually (in 12 of 14 recordings) generated an inward
current in ON bipolar cells and an outward current in OFF bipolar (Fig.
1A) and horizontal cells. In each case the
postsynaptic response peaked ~100 msec after the step in rod voltage
and returned to baseline after ~300 msec. The similarity in kinetics
suggests that under these conditions a step in signal transfer not
involving the postsynaptic receptors limited the speed of the response.
The persistence of transmission when the rod was hyperpolarized from
60 mV indicated that multiple rods contributed to the postsynaptic
responses. The polarity of the responses to presynaptic hyperpolarization indicates that glutamate release was suppressed. At
60 mV, glutamate release from the rods should be minimal (Attwell et
al., 1987
; Belgum and Copenhagen, 1988
; Witkovsky et al., 1997
), and
thus hyperpolarization should have little effect on release from the
patched rod. Nonetheless, presynaptic hyperpolarization elicited a
postsynaptic response. This can be explained by the spread of the
presynaptic signal from the recorded rod to neighboring rods via gap
junctions (for review, see Attwell, 1986
). The neighboring rods should
maintain a potential closer to
40 mV and release glutamate
continuously (Trifonov, 1968
; Dowling and Ripps, 1973
). Spread of
hyperpolarization from the patched rod should suppress glutamate
release from the surrounding rods, accounting for the recorded
response. A similar spread of signals among coupled rods occurs in the
retina under normal conditions (Copenhagen and Owen, 1976
; Schwartz,
1976
).
The experiments of Figure 1 indicate that the postsynaptic receptors
can shape responses to presynaptic stimuli but do not resolve whether
this shaping is an important effect under physiological conditions.
Experiments described in the next section characterize the kinetics of
signal transfer under more physiological conditions.
Bipolar and horizontal cell responses to sinusoidal modulation of
the rod voltage
To determine how the gain of signal transfer depended on temporal
frequency, we modulated the rod voltage sinusoidally while measuring
the postsynaptic current. Sinusoidal modulations were made about the
rods normal dark potential of
40 mV. These experiments provided a
quantitative description of how changes in rod voltage were transferred
to bipolar and horizontal cells.
Figure 2A illustrates
the experimental procedure and basic result. Postsynaptic responses
elicited by a series of presynaptic sinusoidal stimuli with frequencies
between 0.25 and 16 Hz were recorded. Five cycles of a sinusoid 10 mV
in amplitude centered around
40 mV were applied to the rod while the
postsynaptic cell was held at
60 mV. The average postsynaptic
response was calculated from the last four cycles of the sinewave. As
expected, in ON bipolar cells (Fig. 2B)
presynaptic depolarization produced an outward (hyperpolarizing)
postsynaptic current, and presynaptic hyperpolarization produced an
inward (depolarizing) current. The same presynaptic stimuli produced
responses of the opposite polarity in OFF bipolar and horizontal cells
(Fig. 2C).

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Figure 2.
Presynaptic sinewaves. A,
Postsynaptic current responses recorded in an ON bipolar cell elicited
by presynaptic sinewaves centered around 40 mV. The presynaptic
stimulus is shown in the top panel. The frequency of the sinewave used
to elicit each response is indicated to the left. Each trace is the
average of three stimulus presentations. B, The cycle
average (black traces) of the postsynaptic response in an ON bipolar
cell. The cycle average was calculated by averaging the response at
each frequency elicited by the four cycles between the gray markers on
the stimulus wave in A. In this cell the cycle average
was well fit by a sinewave (thick gray traces). Data are from the same
cell as in A. Not all of the stimulus frequencies shown
in B are in A. C, The
cycle average of postsynaptic responses in a horizontal cell elicited
by presynaptic sinewaves. Stimulus frequencies are the same as in
B. Both postsynaptic cells were held at 60 mV; the ON
bipolar cell had a resting current of 114 pA (with the rod held at
40 mV), and the horizontal cell had a resting current of 200 pA.
Note that the time axis in each trace has been normalized by the
stimulus period to facilitate comparison.
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Responses elicited in ON bipolar cells were usually sinusoidal and
symmetrical around the holding current (n = 8) (Fig.
2B). However, the majority of the responses elicited
in OFF bipolar (n = 3) and horizontal cells
(n = 9) were not sinusoidal. In these cells the inward
current produced by presynaptic depolarization was larger than the
outward current produced by hyperpolarization (Fig. 2C) (1 of 12 responses was sinusoidal). When the amplitude of the presynaptic
stimulus was decreased from 10 to 5 mV, OFF bipolar and horizontal cell
responses were more likely (two of four recordings) to be sinusoidal.
The different shapes of the responses in ON bipolar cells
and OFF bipolar and horizontal cells are likely caused by differences
in the postsynaptic receptors because each cell type presumably
encounters a similar change in transmitter concentration. We did not
find substantial differences in the gain of signal transfer to
different postsynaptic cells: the maximum response amplitude was
44 ± 10 pA in ON bipolars (mean ± SEM; n = 6), 41 ± 24 pA in OFF bipolars (n = 3), and
48 ± 9 pA in horizontal cells (n = 9).
It is clear from Figure 2 that the amplitude and the phase of the
responses change with frequency. As the frequency of the rod stimulus
was increased from 0.25 to ~3 Hz, the amplitude of the postsynaptic
response increased. Increasing the stimulus frequency further, however,
caused the amplitude of the postsynaptic response to decrease. Thus
signal transfer acted as a bandpass filter. In each recorded
second-order cell the gain of signal transfer peaked between 1.5 and 4 Hz. At the lowest frequencies the postsynaptic response led the
presynaptic stimulus (Fig. 2B,C).
Increasing the frequency caused a rightward shift in the responses,
with the phase of the response changing from a lead to a lag near 2.5 Hz. These attributes were found in all 24 rod to second-order cell
recordings. A few recordings were made with the postsynaptic cell
current-clamped rather than voltage-clamped. Aside from a slightly
larger phase lag, the frequency dependence of signal transfer was
nearly identical in these recordings.
The amplitude and phase of the sinusoidal postsynaptic responses were
determined from sinewave fits (Fig. 2B, gray
traces). For the nonsinusoidal responses, the amplitude of the
response was determined from the size of the current excursion
elicited, and the phase shift was determined from the time at which the postsynaptic current reached its peak. Figure
3, A and B, shows collected measurements of amplitude and phase for each cell type. The
peak gain of signal transfer in all three cell types fell in a narrow
range of frequencies, between 2.5 and 3.5 Hz, with the ON bipolar,
horizontal, and OFF bipolar cells peaking at ~2.5, 3, and 3.5 Hz,
respectively. The attenuation of low frequencies (<2 Hz) was similar
in each cell type; thus all shared similar high-pass filtering. The
attenuation of high frequencies (>2 Hz) showed more variability
between cell types (Fig. 3A), presumably because of
postsynaptic differences (see Discussion). This variability in
high-frequency attenuation seems to account for the difference in the
peak of the bandpass in the different postsynaptic cells. The phase
shift was also more similar across cell types at low frequencies than
at high frequencies. In all cell types the postsynaptic responses
exhibited phase leads that first increased and then decreased at the
lowest frequencies (Fig. 3B). The increase in phase lead at
low frequencies was highly significant when results were pooled across
cells (Fig. 3E) (p < 0.01).

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Figure 3.
Bandpass of synaptic transmission.
A, Normalized response amplitude versus frequency plots
of postsynaptic responses recorded in OFF bipolar ( ), horizontal
( ), and ON bipolar ( ) cells. B, Phase shift versus
frequency plots of the postsynaptic responses. Symbols are the same as
in A. A positive phase shift indicates that the
postsynaptic response led the presynaptic stimulus, whereas a negative
value indicates that the response lagged the stimulus. Values in
A and B are mean ± SD.
C, The bandpass of synaptic transmission from rods to
second-order retina cells was well fit by a series of three low-pass
filters (LP1-3) and one high-pass filter (HP). The
low-pass filters were modeled as a resistor (R)
in series with a capacitor (C), and the high-pass
filter was modeled as two resistors (R1 and
R2) in series with an inductor
(L). The fits in D and
E were obtained with time constants ( = R*C) of 35 msec for LP1 and
LP2, a time constant of 15 msec for
LP3, and values of 32 , 1 , and 1.2 H,
respectively, for R1,
R2, and L. Normalized
response amplitude versus frequency plot (D, black dots)
and phase versus frequency plot (E) of the
average postsynaptic responses across the three cell types is shown.
The smooth gray lines represents the fit of the data with the model
diagrammed in C.
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To estimate the number of mechanisms that might be involved in signal
transfer from rod to second-order cells, we fit the average bandpass of
transmission with a model using high- and low-pass filters (Fig.
3C). A good fit to the data was obtained with a model
containing a minimum of three low-pass filters and a single high-pass
filter. The increase in phase lead seen at the lowest frequencies (Fig.
3B) suggested that the high-pass filter should be modeled as
the electrical equivalent of two resistors in series with an
inductor (see below). The low-pass filters were modeled as a resistor
in series with a capacitor. The parameters of the low- and high-pass
filter stages were varied to simultaneously fit the amplitude versus
frequency and the phase versus frequency plots (Fig.
3D,E).
The experiments illustrated in Figures 2 and 3 indicate that signal
transfer from rods to second-order cells acts as a bandpass filter,
preferentially transmitting sinusoidal modulations of the rod voltage
with frequencies near 3 Hz. As for the responses to hyperpolarizing
voltage steps in Figure 1, the filtering properties between rods and
each type of second-order cell were similar. This similarity suggests
that presynaptic rather than postsynaptic mechanisms dominate the
kinetics of signal transfer.
Bipolar and horizontal cell responses to presynaptic
frequency sweeps and impulses
In addition to probing synaptic transmission with presynaptic
steps and sinewaves of a single frequency, we probed the kinetics of
transmission using sinewaves with a time-varying frequency (frequency
sweeps) and presynaptic impulses (Fig.
4). Frequency sweeps were 5-10 mV in
amplitude, lasted either 10 or 30 sec, and had a maximal frequency of
16 Hz. As for single-frequency sinewaves (Fig. 2), the responses of ON
bipolar cells were roughly symmetrical around the baseline current
(Fig. 4A), and those of horizontal cells were
rectifying (data not shown), with larger inward currents. No recordings
were made from OFF bipolar cells with this stimulus.

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Figure 4.
Probing the bandpass of synaptic transmission
using other presynaptic stimuli. A, Postsynaptic current
response recorded in an ON bipolar cell elicited by a presynaptic
sinewave that increased linearly in frequency. The presynaptic
frequency sweep lasted 30 sec, was 10 mV in amplitude, was centered
around 40 mV, and had a maximum frequency of 16 Hz. The top axis
indicates the frequency of the presynaptic stimulus, and the bottom
axis indicates time. Postsynaptic current (B) and
voltage (C) responses in a horizontal cell and
current responses in an ON bipolar cell (D, black traces) elicited by
20 msec duration presynaptic voltage steps to 130 mV from a holding
potential of 40 mV are shown. The presynaptic stimulus is shown at
the top of each panel. These impulse responses were well fit by a
sinewave that decays in amplitude (gray traces; see Results for
equation). The frequency of the fit decaying sinewave is indicated.
Postsynaptic cells were held at 60 mV in B and
D.
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In both ON bipolar and horizontal cells the size of the postsynaptic
response increased as the frequency increased from 0 to 2 Hz. The
postsynaptic response peaked between 2 and 4 Hz and then decreased
dramatically as the frequency increased from 4 to 16 Hz (Fig.
4A). In fact, the amplitude of the response near 16 Hz was not much larger than the background noise in the postsynaptic cell. A similar frequency dependence was observed when the sinewave increased (n = 7) or decreased (n = 3)
in frequency and when the phase of the presynaptic sinewave was changed
by 180o. A peak gain signal transfer for
frequencies between 2 and 4 Hz agrees well with the peak measured with
single-frequency sinewaves (Fig. 3D).
The bandpass filtering described above predicts that the postsynaptic
response to a presynaptic impulse should be an oscillation at the
preferred frequency for signal transfer, i.e., 2-4 Hz. To test this
prediction we stepped the rod voltage for 20 msec from
40 to
130 mV
while recording the postsynaptic response (Fig. 4B);
smaller or briefer presynaptic voltage steps produced less robust
postsynaptic responses. In voltage-clamped OFF bipolar (n = 4) and horizontal (n = 4) cells,
this stimulus first elicited a brief and generally small transient
outward current, the expected result of suppression of
glutamate release. This initial transient was followed by damped
sinusoidal oscillations (Fig. 4B). Similar oscillations, but of the opposite polarity, were elicited in ON bipolar
cells (n = 5) (Fig. 4D). Oscillations
were also observed with the postsynaptic cell under current clamp (Fig.
4C).
To compare the frequency of these oscillations with the bandpass
of transmission as measured with sinusoidal presynaptic stimuli, the
impulse responses were fit with a sinewave that decays in amplitude:
Here A0 is the offset current or
voltage, A1 is the initial amplitude of
the sinewave, t is the time,
d is the time constant of the decay in
amplitude, f is the frequency of the decaying sinewave, and
is the phase of the response. In 12 of 13 cells the postsynaptic
responses elicited by the presynaptic impulse were well fit by this
equation. The frequency of the postsynaptic oscillations averaged
2.7 ± 0.5 Hz (mean ± SD), in good agreement with the peak
frequency of the bandpass filter inferred from sinusoidal presynaptic
stimuli (Fig. 3D).
Contribution of the rod network to signal transfer
The experiments described above show that signal transfer
from rods to second-order cells acts as a bandpass filter. Because spread of signals through the rod network influences the postsynaptic responses (Fig. 1A), transmitter release from
neighboring rods could contribute to the observed bandpass. To estimate
the contribution of the rod network to the kinetics of signal transfer,
we modeled the response of the network to signals injected into a
single rod.
Rod signals are altered as they travel through the network of
electrically coupled rods in amphibian and reptilian retinas (Copenhagen and Owen, 1976
; Schwartz, 1976
; Detwiler et al., 1978
, 1980
; Torre and Owen, 1983
). Interestingly, the rod network acts as a
high-pass temporal filter, attenuating and speeding signals as they
travel through the network. This high-pass filtering is generated by a
hyperpolarization-activated current
(Ih) in the rod inner segment (Attwell
and Wilson, 1980
; Owen and Torre, 1983
). Membrane hyperpolarization
opens Ih, producing an inward current that counteracts the hyperpolarization. Because
Ih activates with a time constant of
several hundred milliseconds (Bader et al., 1982
; Demontis et al.,
1999
), it has a more pronounced impact on slow changes in voltage than
on fast changes.
Figure 5 illustrates the model used to
investigate the filtering properties of the rod network. Salamander
rods form a roughly square array, with each rod electrically coupled to
the four rods around it (Fig. 5A) (for review, see Attwell,
1986
). Cones were not included in the model because the strength of
rod-rod coupling is ~10 times greater than rod-cone coupling
(Attwell et al., 1984
). The model assumed that slicing removed half of
the network; the orientation of the slice relative to the rod array
made little difference in the output of the model (data not shown).

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Figure 5.
Modeling the rod network. A,
Diagram of the rod network (adapted from Attwell, 1986 ). The rods
(filled circles) are organized into a square array with the cones (open
circles) between the rods. Lines between cells indicate electrical
coupling. In this model the rod array was cut horizontally. The black
circle is the primary rod to which the voltage signal is applied. The
red, orange, green, and blue circles are the second, third, fourth, and
fifth rods, respectively, downstream from the primary rod. The stimulus
applied to the primary rod was 10 mV in amplitude centered around 40
mV. The stimulus frequency varied from 0.1 to 16 Hz. The resting
potential of the other rods in the network was 40 mV.
B-E, RC circuit model of the rod
membrane. B, Diagram of the model RC circuit. The rod
membrane is modeled as capacitor (Cm)
in parallel with a resistor (Rm).
Each rod in the array is connected to neighboring rods through a
coupling resistance (Rc). The values
of the circuit elements used in this model are
Rc = 300 M ,
Rm = 0.5 G , and
Cm = 26 pF. C, Modeled
voltage signal in each cell type resulting from a 2 Hz sinewave applied
to the primary rod. D, Plot of amplitude of the voltage
change in each cell versus frequency. E, Plot of the
phase of the voltage change in each cell versus frequency.
F-I, RL circuit model of the rod
membrane (Owen and Torre, 1983 ; Torre and Owen, 1983 ).
F, In this model the rod membrane is modeled as an
inductor (L) in series with a resistor
(R2), both of which are in parallel
with a second resistor (R1). As in
the RC model, each rod is connected to neighboring rods through a
resistor (Rc). The values of the
elements in this model are RC = 360 M , L = 0.5 GH,
R1 = 710 M , and
R2 = 3.3 G (Owen and Torre, 1983 ).
G, Modeled voltage signal in each cell type resulting
from a 2 Hz sinewave applied to the primary rod. H, Plot
of amplitude of the voltage change in each cell versus frequency.
I, Plot of the phase of the voltage change in each cell
versus frequency. Colors are consistent throughout the figure. Note
that although the rods straight above the primary rod have three
downstream cells, those horizontal or diagonal from the primary rod
have only two downstream cells. Although the data shown in this figure
are only from the rods that have two downstream cells, our final model
included the contribution made by the rods with three downstream
cells.
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Rod-rod coupling (Rc) was
assumed to be purely resistive. The rod itself was modeled as either a
capacitor in parallel with a resistor (RC circuit) (Fig. 5B)
or an inductor in series with a resistor, both of which are in parallel
with a second resistor (RL circuit) (Fig. 5F) to
consider the effects of Ih. The
voltage of the "primary" rod, representing the experimentally
recorded rod, was modulated using stimuli identical to those used in
the paired recordings in Figure 2, with the addition of a lower
frequency stimulus; the voltage of the primary rod was modulated
sinusoidally at frequencies between 0.1 and 16 Hz, with a sinusoid 10 mV in amplitude centered around
40 mV. Although the voltage changes simulated in Figure 5 are from rods 1, 2, 3, and 4 connections downstream from the primary rod, the final model included contributions from the rods up to eight connections from the primary rod; the model
predicted essentially no voltage change in more distant rods. These
voltage changes were then passed through a simple model for transmitter release.
Modeling rod membrane as an RC circuit
Although the physiology shows that the rod network acts as a
high-pass filter, one normally thinks of cells as low-pass filters because of their membrane time constant. Thus, we first modeled the rod
as an RC circuit (Fig. 5B). The values of the capacitor (Cm) and the resistor
(Rm) were 26 pF (average measured from
57 rods) and 0.5 G
(Rieke and Schwartz, 1996
). The rod-rod coupling resistance (Rc) had a value of 300 M
(Attwell 1986
) (Fig. 5B).
In this model, the amplitude of the voltage modulations fell by a
factor of ~2 for each connection (Fig. 5C), as expected from the voltage divider formed by the rod input resistance
(Rm) and the coupling resistance
(Rc). The voltage modulations showed little frequency dependence (Fig. 5D). Significant phase
lags in the signals in the surrounding rods were introduced by the low-pass filtering, with the lag increasing with frequency and with
distance from the primary rod (Fig. 5E). When the time
constant of the cell was increased, by increasing either
Rm or
Cm, rods downstream of the primary rod
showed smaller voltage changes and larger phase shifts relative to the
primary rod. Conversely, when the time constant of the cell was
decreased, downstream rods showed larger voltage changes and smaller
phase shifts. Increasing the coupling resistance also caused a more
rapid decrease in the voltage signal with distance.
Modeling rod membrane as an RL circuit
To estimate how Ih and the
associated high-pass filtering of the rod network contributed to the
measured bandpass filtering, the rod membrane was modeled as an RL
circuit (Fig. 5F). The inductive component
attributable to Ih was described as a
resistance of 710 M
(R1) in
parallel with a resistance of 3.3 G
(R2) in series with an inductance of
0.5 GH (L) (Owen and Torre, 1983
).
As in the RC model, voltage changes fell by a factor of ~2 across
each connection at low frequencies (Fig. 5G). The amplitude of the signal in the rods downstream of the primary rod, however, changed with frequency, with low frequencies attenuated (Fig. 5H). This frequency dependence is the result of the
low impedance of the inductor at low frequencies, which inhibits the
spread of signals in the network. In contrast to the RC model, in the RL model responses of downstream rods had phase leads that were larger
with distance from the primary rod and that first increased and then
decreased with frequency (Fig. 5I). This peak in the frequency versus phase curve is reminiscent of the phase shifts in
signal transfer from rods to second-order cells (Fig. 3E), suggesting that one of the components of transmission is electrically equivalent to an RL circuit.
Model for transmitter release
The final step in our model to assess the influence of the rod
network on rod to second-order cell signal transfer was to convert the
modeled voltage change in each rod to transmitter release. Voltage
changes were first converted to changes in intracellular calcium
([Ca2+]) using an expression fit to
fluorescence measurements from synaptic terminals of isolated rods
(Rieke and Schwartz, 1996
):
where V is the rod voltage in millivolts. The calcium
concentration was then converted to transmitter release assuming
release scaled linearly (Witkovsky et al., 1997
) or as the square
(Belgum and Copenhagen, 1988
) of the calcium concentration. Finally,
the change in release was summed across the rod network (Fig.
6). This model assumes that the
second-order cells receive equal input from all of the modeled
rods, as expected from the size of the bipolar and horizontal receptive
fields in salamander retina (Hare and Owen, 1990
). The model also
assumes that calcium and transmitter release instantaneously track
changes in rod voltage, allowing us to determine how much the network
alone could contribute to the measured kinetics of signal transfer.

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Figure 6.
Transmitter release modeled from the rod network.
Predicted release for network models with the rod membrane modeled as
an RC (A-C) or an RL circuit
(D-F). Release was either assumed to scale
linearly with the calcium concentration ([Ca2+])
(A, D) or as the square of
[Ca2+] (B, E). The
predicted waveform of release for frequencies between 0.25 and 16 Hz is
shown with the time axis normalized by the stimulus period to
facilitate comparison. The amplitude of the release predicted by each
model is shown as a function of frequency (C,
F), with the open squares showing the amplitude
of release when linearly dependent on [Ca2+] and
with the closed circles showing the amplitude of release when dependent
on the square of [Ca2+]. The dotted trace is the
fit of the measured bandpass of transmission from Figure
3D.
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|
The impact of the rod membrane modeled as an RC or an RL circuit on the
kinetics of transmitter release, and hence signal transfer, is
summarized in Figure 6. For both models the release predicted for a
squared relation (Fig. 6B,E) was
less sinusoidal than the predicted release for a linear relation (Fig.
6A,D). The measured postsynaptic
responses in ON bipolar cells (Fig. 2B), where the
kinetics of the postsynaptic receptors are less likely to influence the
response, are sinusoidal, suggesting that release might depend linearly
or near linearly on rod [Ca2+]. The
phase shifts of the modeled release with frequency were much smaller
than observed, indicating that a step other than spread of the
presynaptic signal through the rod network produced the observed phase
dependence of signal transfer.
To compare modeled release with the measured bandpass of transmission,
the amplitude of modeled release at each frequency was normalized by
the maximum (Fig. 6C,F). In both circuit
models the rod network was predicted to have a larger effect when
release scaled linearly with [Ca2+].
Although modeling predicts that low-pass filtering by the membrane time
constant of the rod does not contribute substantially to the measured
filtering in signal transfer (Fig. 6C), high-pass filtering
conferred by Ih could account for as
much as half of the measured high-pass filtering if release depended
linearly on [Ca2+] and as much as
25-30% if release depended on the square (Fig. 6F).
Evidence that bandpass filtering is
mediated presynaptically
The bandpass filtering illustrated in Figures 2 and 3 could be
mediated, in principle, either presynaptically or postsynaptically. The
similarity in the filtering between rods and the three different types
of postsynaptic cells
ON and OFF bipolars and horizontals
suggests that presynaptic mechanisms predominate. The time course and rate of
mEPSCs recorded in OFF bipolars provided further evidence for this conclusion.
Discrete inward currents were apparent in a subset of the recorded OFF
bipolar cells (Fig. 7A) (3 of
11 cells). The frequency dependence of signal transfer from rods to
these OFF bipolar cells was similar to that in Figure 3. These discrete
events were suppressed by steady illumination, their rate was altered
transiently by changes in rod voltage, and they had a reversal
potential near 0 mV. On the basis of these characteristics we
identified the events as mEPSCs (Maple et al., 1994
). The mEPSCs had a
total duration of <10 msec, indicating that OFF bipolar cells can
respond rapidly to changes in transmitter release. A similar conclusion can be reached from experiments in which the rod was stepped from
60 mV to a more depolarized potential. Such voltage steps
produced fast responses in both OFF bipolar (Fig.
1A,B) and horizontal cells (data
not shown), indicating that in both of these cell types the
postsynaptic machinery is capable of responding quickly to rapid
changes in transmitter release. Thus the kinetics of the postsynaptic
receptors do not appear to contribute significantly to the attenuation
of high frequencies during signal transfer.

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Figure 7.
Bandpass filtering cannot be explained by
postsynaptic mechanisms. A, Response of an OFF bipolar
cell to step depolarization of a rod from 60 to 40 mV. The noisy
traces show two individual responses; the brief inward currents are
mEPSCs. B, Histograms of the current minima from 17 trials like those in A. Histograms for rod voltages of
60 and 40 mV are plotted. Current minima were identified as
recorded data points with amplitudes smaller than the adjacent points
(1 msec sampling interval, bandwidth 0-300 Hz). Only sections of data
recorded >400 msec after the voltage step were used.
|
|
The mEPSC rate also indicates that the attenuation of low temporal
frequencies in signal transfer is dominated by presynaptic mechanisms.
Depolarization of the rod caused a transient increase in the mEPSC rate
(Fig. 7A), which is reflected in the transient postsynaptic
response recorded in OFF bipolar cells (Fig. 1A). Several hundred milliseconds after the voltage step, the rate of mEPSCs
appears to return to a level close to that before the step (Fig.
7A). This was confirmed by comparing histograms of the
current minima in OFF bipolar cells with the rod held at
60 and
40
mV (Fig. 7B). The histograms are quite similar, indicating that neither the rate nor the size of the mEPSCsdepended strongly on the steady-state rod voltage. Thus, the low-frequency attenuation that we find in signal transfer from rods to second-order cells is
likely attributable to the insensitivity of the rate of transmitter release from the rod synapse to low-frequency changes in rod voltage. Several presynaptic mechanisms could account for this insensitivity (see Discussion).
Spontaneous oscillations
Occasionally (in ~5/100 experiments) we found retinas
that exhibited sustained spontaneous oscillations. Examples of these oscillations are shown in Figure
8A. Oscillations were
recorded in rods (n = 3), ON (n = 3)
and OFF (n = 2) bipolar cells, and ganglion cells
(n = 5) and occurred over a narrow range of
frequencies, between 1.8 and 2.4 Hz (2.2 ± 0.2 Hz; mean ± SD). In the rods the oscillations were quite small, with amplitudes of
only a few picoamperes, whereas in ON and OFF bipolar cells they had on
average an amplitude of 21 pA (SD = 11.5). This
increase in amplitude from rods to bipolar cells is
consistent with previous measures of the gain of rod-bipolar signal
transfer (Ashmore and Falk, 1980
; Attwell et al., 1987
; Capovilla et
al., 1987
; Belgum and Copenhagen, 1988
; Witkovsky et al., 1997
).
Oscillations in ganglion cells had amplitudes of 12.5 ± 5.5 pA
(mean ± SD).

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Figure 8.
Spontaneous oscillations in the salamander retina.
A, Spontaneous current oscillations in a rod, an ON
bipolar cell, and a retinal ganglion cell. The rod and ON bipolar cell
traces were recorded simultaneously. In both of these cells the
frequency of the oscillations was 2.3 Hz. The oscillations in the
ganglion cell were 2.4 Hz. The oscillations in the rod, ON bipolar
cell, and ganglion cell were centered around 96, 169, and 50 pA,
respectively. B, Oscillations in an ON bipolar cell are
suppressed by dim light. Current recordings were measured from an ON
bipolar cell before, during, and after dim illumination, producing
approximately three photoisomerizations per rod per second. The
oscillations before and after illumination had frequencies of 2.2 and
2.1 Hz and were centered around 24 and 39 pA, respectively. The
resting current during illumination was 25 pA. All cells were held at
60 mV.
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|
In paired recordings, the spontaneous oscillations in the presynaptic
and postsynaptic cells had the same frequency and were phase locked
(n = 4). Generally when one cell in the retina was found to oscillate, all other cells in the retina from which recordings were made were also found to oscillate spontaneously. The recording conditions used in these experiments were identical to those used in
the others, and thus it is unclear why a few retinas exhibited this
behavior whereas most did not.
Oscillations of various frequencies have been documented at many levels
in the visual system. Among these are sustained spontaneous oscillations in the membrane voltage of retinal neurons with
frequencies similar to those shown here (Normann and Pochobradsky,
1976
). As in this previous study, we found that oscillations were
suppressed by illumination. Figure 8B shows an
example of inhibition of spontaneous oscillations by light in an ON
bipolar cell. Steady illumination delivering as few as three photons
per rod per second was sufficient to eliminate the oscillatory
behavior. The oscillations recovered fully (n = 4)
after the light was turned off. Oscillations could also be
transiently suppressed by flashes delivering ~15 photons per rod
(data not shown; n = 7).
The presence of spontaneous oscillations in the rods themselves and the
low light levels required to suppress them suggested that they were
generated by mechanisms intrinsic to the rods. Cone signals can be
relayed to rods through gap junctions; however, the light levels
used here to suppress oscillations produce moderate responses in the
rods, but essentially no response in cones (Perry and McNaughton,
1991
). No other cells are known to provide input to the rods. Indeed,
modeling work suggests that imbalances in voltage-activated
conductances can cause rods to oscillate spontaneously in this
frequency range (Kamiyama et al., 1996
).
 |
Discussion |
Our understanding of synaptic transmission is based primarily on
studies of synapses of spiking cells, which transmit large, rapid
changes in voltage produced by action potentials. The situation at the
amphibian rod synapse is very different, because the signal resulting
from a single photon is ~1000× smaller and 1000× longer lasting
than an action potential. This suggests that separation of signal from
noise is more important at the rod synapse than rapid transmission of
changes in rod voltage. The work described here shows that the kinetics
of signal transfer from rods to second-order cells in the salamander
retina differs substantially from expectations based on synapses made
by spiking cells. In particular, both low and high temporal frequencies
in the rod signals are attenuated during signal transfer. Below we
discuss several mechanisms that might contribute to filtering at the
rod synapse and its functional role in processing the rod light responses.
Mechanisms controlling kinetics of synaptic transmission
Signal transfer from rods to second-order cells attenuated
temporal frequencies <1.5 and >4 Hz. Two observations indicate that
presynaptic rather than postsynaptic mechanisms dominate both the
low-pass and high-pass components of signal transfer. First, the
kinetics of signal transfer from rods to ON bipolar, OFF bipolar, and
horizontal cells were similar, despite substantial differences in
the postsynaptic machinery. Second, the rate of mEPSCs in OFF
bipolar cells was insensitive to steady-state changes in rod voltage.
The dominant role of presynaptic mechanisms in shaping postsynaptic
responses differs from previous work on cone signals. In turtle,
cone-driven light responses in ON bipolar cells are slower than those
in OFF bipolars (Ashmore and Copenhagen, 1980
), likely a result of
delays inherent to the second-messenger cascade linking metabotropic
glutamate receptors and cation channels in ON bipolars (Kim and Miller,
1993
, their Fig. 1). Furthermore, in mammalian retina the
kinetics of the responses of different types of OFF bipolar cells to
depolarizing steps in cone voltage differ because of differences in
receptor desensitization (DeVries, 2000
). Although we also find that
depolarizing steps in rod voltage elicit responses with different
kinetics in ON bipolar and OFF bipolar and horizontal cells (Fig.
1A), with more physiologically relevant stimuli these
kinetic differences are essentially obscured by presynaptic mechanisms
(Fig. 3A,B).
Modeling indicated that spread of the presynaptic signal through the
rod network could account for 25-50% of the attenuation of
low-frequency changes in rod voltage. We attribute the remaining high-pass filtering to the properties of the rod output synapse. One
presynaptic mechanism that could contribute is negative feedback control of transmitter release. Such a feedback could be provided by
Ca2+-dependent inactivation of
voltage-activated Ca2+ channels (Kobayashi
and Tachibana, 1995
; von Gersdorff and Matthews, 1996
) or by modulation
of the voltage dependence of the Ca2+
current by pH (Barnes and Bui, 1991
; Barnes et al., 1993
; DeVries, 2001
) or Cl
(Thoreson et al., 1997
).
Either mechanism could counter changes in transmitter release by making
compensatory changes in the Ca2+ current,
thus rendering the rate of transmitter release insensitive to the
steady-state rod voltage. The impact of such a feedback on the kinetics
of signal transfer would depend on the delay with which the feedback
acted. The observed low-frequency attenuation between rod and
second-order cells would require a feedback delay of several hundred milliseconds.
Although our model suggests that a significant portion of low-frequency
attenuation could be caused by signal spread through the rod network,
the same was not true for high-frequency attenuation. Instead, the rod
output synapse seemed to account for essentially all of this low-pass
filtering. Low-pass filtering is unexpected from studies of synaptic
transmission in spiking cells. In these cells, colocalization of the
presynaptic Ca2+ channels with the
exocytotic machinery assures fast transmission, because the time
required for Ca2+ to diffuse to the
release site is <1 msec (for review, see Neher, 1998
). As a
consequence, the delay between invasion of an action potential into the
presynaptic terminal and vesicle fusion is at most a few milliseconds.
This time scale is much too short to account for the low-pass filtering
of signals at the rod synapse, which has a time constant of ~200 msec.
The dynamics of the presynaptic Ca2+
signal controlling transmitter release could mediate low-pass filtering
at the rod synapse. Unlike spiking cells, for which transmitter release
is thought to require Ca2+ concentrations
reached only near the mouth of an open
Ca2+ channel (~100 µM)
(Neher, 1998
), exocytosis from the rod synapse can be stimulated
by Ca2+ concentrations as low as 2-4
µM (Rieke and Schwartz, 1996
). Therefore, close proximity
of Ca2+ channels and vesicle fusion sites
is not essential for release from the rod synaptic terminal. Indeed,
because a small fraction of the Ca2+
channels of the rod are open at physiological voltages (Bader et al.,
1982
), most vesicle fusion sites are far from an open Ca2+ channel. If transmitter release in
salamander rods is dominated by Ca2+
diffusing from open Ca2+ channels to
distant release sites, the postsynaptic response would be insensitive
to high-frequency changes in presynaptic voltage. This model does not
preclude rapid release of transmitter after nonphysiological
depolarizations that open most of the Ca2+
channels. Consistent with this view, bipolar cells, which like rods
contain ribbon-type synapses, show several modes of transmitter release, with continuous vesicle cycling for voltages where
Ca2+ influx is slow and rapid and
synchronous release for large depolarizations that open most of the
Ca2+ channels (von Gersdorff and Matthews,
1994
; Lagnado et al., 1996
; Rouze and Schwartz, 1998
).
Functional importance of bandpass filtering
Information about the visual scene is encoded by the times at
which photons are absorbed by the rods. Arrival times, however, are
blurred by the slow kinetics of phototransduction and obscured by noise
introduced during this process. In the absence of noise, the slow
kinetics could be compensated and photon arrival times recovered. Rod
noise limits the accuracy of this process. Thus extracting the photon
arrival times from the rod signals involves attenuating both low
temporal frequencies that carry little timing information and high
temporal frequencies that are dominated by noise (Bialek and Owen,
1990
; Rieke et al., 1991
).
Noise dominates the electrical signals of the rod at temporal
frequencies >2-4 Hz (Baylor et al., 1980
; Vu et al., 1997
). The
observed low-pass filtering in signal transfer attenuates these
frequencies and thus serves to separate signal and noise in the rod
responses. In mouse retina, an additional mechanism, a thresholding
nonlinearity at the rod-to-rod bipolar synapse, serves to transmit
single photon signals but not noise (Field and Rieke, 2002
). Electrical
coupling between rods makes a similar strategy ineffective in amphibian
retina because noise from adjacent rods is mixed before single photon
responses reach the rod synaptic terminal.
The light responses of bipolar and horizontal cells are considerably
briefer than those of the rods from which they receive input (Schnapf
and Copenhagen, 1982
; Bialek and Owen, 1990
) (Fig. 9A). This difference in
kinetics is similar in bipolar and horizontal cells and thus cannot be
attributed to amacrine feedback to the bipolar terminal. Indeed, the
bandpass filtering during synaptic transmission that we characterize
here can account for the "lion's share" of the change in kinetics
(Fig. 9). The overall shape of the light response recorded from
second-order cells (Fig. 9A) could be reproduced by passing
the light response of the rod through our model of the kinetics of
synaptic transfer (Fig. 9B). Both the recorded and predicted
second-order cell responses peaked during the rising phase of the rod
response and were nearly half the duration of the rod response. Thus,
filtering during signal transfer extracts temporal information by
preferentially transmitting the rising phase of the slow rod
response.

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Figure 9.
Bandpass filtering accounts for most of the change
in kinetics in rods and second-order cells. A,
Normalized responses in a rod (light trace) and an ON bipolar cell
(dark trace) elicited by a 10 msec duration full-field flash producing
~11 photoisomerizations per rod. The timing of the flash is shown in
the top trace. The responses shown are the average of five responses.
B, Predicted second-order retinal cell response (dark
trace) constructed by passing the average response from 11 rods
elicited by the same stimulus as in A (light trace)
through the bandpass filter modeled in Figure 3C.
|
|
 |
FOOTNOTES |
Received Oct. 25, 2002; revised Jan. 31, 2003; accepted Feb. 5, 2003.
This work was supported by National Institutes of Health Grants
EY-11850 (F.R.) and EY-06993 (C.A.G.). We thank Greg Field, Kerry Kim,
and Maria McKinley for helpful discussions, and Eric Martinson for
excellent technical assistance.
Correspondence should be addressed to Fred Rieke, Department of
Physiology and Biophysics, Box 357290, University of Washington, Seattle, WA 98195. E-mail:
rieke{at}u.washington.edu.
 |
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