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The Journal of Neuroscience, September 15, 1998, 18(18):7599-7611
Parallel Projection of Amplitude and Phase Information from the
Hindbrain to the Midbrain of the African Electric Fish
Gymnarchus niloticus
Masashi
Kawasaki and
Yuan-Xing
Guo
Department of Biology, University of Virginia, Charlottesville,
Virginia 22903
 |
ABSTRACT |
Two distinct sensory cues in electrosensory signals, amplitude
modulation and differential phase modulation, are essential for an
African wave-type electric fish, Gymnarchus, to perform the jamming avoidance responses. Individual neurons in the first brain
station for central processing, the electrosensory lateral line lobe
(ELL), were investigated by the in vivo whole-cell
recording and labeling technique for their physiological responses,
location, morphology, and projection areas.
Neurons in the dorsal zone of the ELL responded selectively to
amplitude modulation. Neurons in the outer cell layer of the medial
zone were categorized physiologically into two groups: amplitude-sensitive and differential phase-sensitive. All but one
neuron in the inner cell layer of the medial zone responded exclusively
to differential phase modulation. All neurons recorded and labeled in
the ELL had pyramidal morphology with large and extensive apical
dendrites and less extensive basal dendrites. They were found to
project to two midbrain nuclei: the nucleus praeeminentialis and the
torus semicircularis. Amplitude-sensitive neurons in the dorsal zone
projected exclusively to the lateral posterior subdivision, the torus
semicircularis. Neurons in the medial zone projected to the medial
dorsal and lateral anterior subdivisions of the torus
semicircularis.
Although some neurons in the ELL responded to both amplitude and
differential phase modulation, they did not differentiate between
temporal patterns of the two cues that encode necessary information for
the jamming avoidance response. Overlapping projection of amplitude and
differential phase-sensitive neurons to the torus semicircularis
suggests integration of the two sensory cues in this nucleus.
Key words:
electric fish; jamming avoidance response; phase
comparison; binaural comparison; whole-cell recording; parallel
projection
 |
INTRODUCTION |
The African weakly electric fish
Gymnarchus niloticus emits wave-type electric organ
discharges (EODs) from the electric organ in the tail for
electrolocation. The EODs are sensed by electroreceptors located all
over the body surface for electrolocation (Lissmann, 1958
; Lissmann and
Machin, 1958
) and electrocommunication (Hopkins, 1974
). The frequency
of EOD is normally stable and fluctuates only a few Hertz around an
individually fixed frequency that ranges from 300 to 500 Hz (Bullock et
al., 1975
). When two individuals with close discharge frequencies meet,
however, they shift their discharge frequencies away from each other to
create a larger frequency difference (Bullock et al., 1975
). This
behavior, the jamming avoidance response (JAR), has a function of
avoiding mutual interference effects in their electrolocation
(Heiligenberg, 1975
). When they shift their discharge frequencies, a
decision is made as to which way to change the discharge frequency,
upward or downward, without a trial-and-error behavior. This means that
fish are able to determine the sign of frequency difference, i.e.,
whether the frequency of a neighbor is higher or lower than
their own, within the latency of this behavior, which is approximately
a few hundred milliseconds.
In the JAR, the fish does not use the information about its own
discharge frequency, which is available at the pacemaker nucleus in the
brain that drives the EOD of that fish (Kawasaki, 1994
). Instead, the
fish analyzes a complex signal pattern that is created by an addition
of electrosensory feedback from its own discharge and the EOD of a
neighbor to examine the frequency relation between them. Kawasaki
(1993)
identified a computational algorithm with which the fish derives
the sign of the frequency difference between two fish from the signal
mixture. The signal mixture exhibits periodic changes in two
parameters: amplitude and phase difference. Both amplitude and phase
difference modulate at a frequency equal to the absolute value of the
frequency difference. Thus, either amplitude or phase difference alone
cannot unambiguously represent the sign of frequency differences. The
temporal pattern of amplitude and differential phase modulations taken
together uniquely represents the sign of the frequency difference
because the timing of the phase modulation changes relative to the
amplitude modulation contingent on the sign of the frequency
difference. This algorithm suggests that amplitude and phase
information are separately processed and subsequently integrated.
Two classes of electroreceptors, O-type and S-type, sample amplitude
and phase information, respectively, in Gymnarchus (Bullock et al., 1975
). Primary afferent fibers from these electroreceptors terminate in the first brain station, the electrosensory lateral line
lobe (ELL) in the medulla. Using the in vivo whole-cell
recording and labeling method (Rose and Fortune, 1996
), physiological
and morphological characteristics of neurons in the ELL were studied in
the present report, and the sensitivities of neurons to complex patterns of amplitude modulation and phase modulation were examined. The dorsal zone (DZ) of the ELL was found to contain neurons that are
sensitive only to amplitude modulation, whereas the medial zone (MZ),
in which phase-sensitive neurons were previously found (Kawasaki and
Guo, 1996
), was found to contain also neurons sensitive only to
amplitude modulation. Thus, amplitude and phase information are
processed separately, and their nonlinear integration, which is
required for JAR, does not appear to occur in the ELL. Projection areas
of these neurons, however, showed significant overlap in midbrain
nuclei, suggesting that amplitude and phase information are integrated
there.
 |
MATERIALS AND METHODS |
Animals. Approximately 80 Gymnarchus
niloticus (11-17 cm) were used. All experiments were approved by
the University of Virginia Animal Care Committee. Environmental
conditions in the holding tanks were identical to those described in
Kawasaki (1994)
. Intramuscular injection of Flaxedil (gallamine
triethiodide, 0.1%, 3-6 µl) after initial and temporal anesthesia
with MS-222 (1:10,000) immobilized the fish and greatly attenuated
amplitude of electric organ discharges. Oxygen-saturated water was
provided to the gill with a tube inserted in the mouth. Activity of the
pacemaker command signal was recorded to monitor the condition of the
fish throughout experiments.
After local application of Xylocaine (2%), a small hole was drilled in
the skull above the corpus cerebelli. The ELL was exposed by removing
the caudal edge of the corpus cerebelli with fine suction tubing. Fish
were gently held with a sponge-lined clamp and submerged in water
except for a small area around the skull opening.
Whole-cell recording. Whole-cell recording and labeling was
performed according to Rose and Fortune (1996)
. A glass capillary of
1.2 mm outer diameter (World Precision Instruments, catalog #1B120F)
was pulled with three steps on a Flaming-Brown type micropipette puller
(Sutter, model P-97). A tip outer diameter of ~1.2 µm
yielded best results. These electrodes showed ~20 M
of resistance
when filled with biocytin-containing intracellular solution as
described in Rose and Fortune (1996)
.
Positive pressure was applied to the electrode while advancing it into
brain tissue to prevent the tip from clogging. After reaching a
recording area, pressure was released, and the electrode was slowly
advanced (Burleigh microdrive) with a search stimulus (see below).
Meanwhile, square current pulses (2 Hz, +0.1 nA, offset +0.05 nA) were
passed through the electrode to monitor the electrode and seal
resistance. When seal resistance increased to ~300 M
, gentle
negative pressure was applied to the electrode. When electrode geometry
matched the underlying membrane, a high-resistance seal (1-2 G
) was
easily established. The pressure was immediately released, and steady
negative current of 1-2 nA was then applied to perforate the patch
membrane. Resting potential was typically 40-50 mV, and spike height
was typically 30 mV but often exceeded 60 mV. Postsynaptic potentials
of 20 mV were commonly seen. Neurons could be held for hours but were
typically studied for 30 minutes. Clear action potentials could be
recorded extracellularly before making the high-resistance seal,
allowing us to access physiological response properties of a neuron
before making the decision to attempt to establish a high-resistance
seal.
After physiological recordings, sinusoidal current (1 Hz, +2 nA,
offset, +1 nA) was passed to inject biocytin into the cell for several
minutes. In most cases, only one neuron was injected with biocytin for
anatomical labeling in either side of the brain for unambiguous
matching of physiological and morphological data. A great majority
(>90%) of physiologically recorded neurons were unambiguously labeled
by biocytin. Survival time of 8 hr was necessary to completely fill
long projecting axons (up to 7 mm). Fish were deeply anesthetized with
MS-222 (1:1000) and perfused with 4% paraformaldehyde. Histological
sections were processed with a standard ABC-DAB method as in Kawasaki
(1994)
.
Sensory stimulus. Responsiveness of neurons to amplitude
modulation and differential phase modulation was first tested with the
S1/S2 stimulus regimen in which signals
mimicking the EODs of the animal (S1) and of a
neighbor (S2) were presented through two pairs of
electrodes (Kawasaki, 1993
). A sinusoidal signal, S1, was applied between an electrode inserted in the
mouth and an electrode placed near the tail. A sinusoidal signal,
S2, was applied between two electrodes straddling
the preparation. In this S1/S2 regimen,
sinusoidal modulations of amplitude and differential phase result
because of the addition of S1 and S2 in the
tank. These amplitude and differential phase modulations were, however, interlocked so that differential phase modulation alone could not be
created. Nevertheless, effects of amplitude or differential phase
modulation could be derived by comparing two histograms with different
signs of frequency differences (Df) between S1 and
S2 (Df = f2
f1; f1, frequency
of S1; f2, frequency
of S2), because amplitude and differential phase
modulation show unique temporal patterns for different signs of Df
(Rose and Heiligenberg, 1985
; Kawasaki, 1993
). Stimulus amplitude of
S1 was set at 1-2 mV/cm measured at the gill cover.
S2 amplitude was set to ~30% of S1 measured
at the same location. By the S1/S2
regimen, we found that some neurons in the ELL responded to both
amplitude and differential phase modulation. These neurons were further examined using the phase chamber in which the head and trunk of the
fish were electrically isolated (Heiligenberg and Rose, 1985
; Kawasaki,
1993
). With this phase-chamber regimen, amplitude and phase could be
independently controlled. Stimulus amplitude was set at 1-2 mV/cm at
the gill and 3-5 mV/cm at the trunk. For both types of stimulus
regimen, sinusoidal waves with and without amplitude and phase
modulations were digitally created by a computer (Gateway, model
P5-133) equipped with a digital-to-analog converter (Tucker Davis
Technology, model DA3-4). Stimuli were delivered to the experimental
tanks via homemade isolators with field effect transistors. Frequency
of the signal mimicking the fish's own signal was set within 20 Hz of
the EOD frequency of the fish measured before curarization. Water
resistivity was ~5 k
· cm for all experiments.
Analysis of responses. Spike histograms were constructed
against one period of stimulus modulation (typically 1-4 Hz). For the
S1/S2 regimen, histograms for
Df and
+Df had identical and synchronous sinusoidal modulation for amplitude,
but 180°-shifted functions of differential phase modulation (Rose and
Heiligenberg, 1985
) (see Fig. 2). A scalar value, p, was
computed as:
|
(1)
|
to assess the position of the center of responses in a
histogram. p = 0°, and 360° corresponds to the
beginning and the end of the modulation cycle histogram period, and
180° corresponds to the middle of histograms.
The degree of synchronization of spike occurrence to the cycle
of carrier signal, vector strength (v) (Goldberg and Brown, 1969
), was computed as:
|
(2)
|
v = 0 and v = 1, respectively, corresponding to no and complete synchronization.
In the two equations above, xi is the spike count of
the ith bin in histograms. cosi = cos(i · 2
/n), sini = sin(i · 2
/n), i = 1,... ,n. n is the total number of bins, which is 20 or
50 for Equation 1, and is 1/f × 106 (f, frequency of the carrier
signal) for Equation 2.
 |
RESULTS |
Overview of the hindbrain and midbrain
of Gymnarchus
Figure 1 shows major structures of
the electrosensory system in the hindbrain and midbrain that are
involved in this study. Whole-cell recording and labeling was performed
in the ELL, which consists of large bilateral lobes in the hindbrain.
Each lobe contains three zones: medial (MZ), dorsal (DZ), and ventral
(VZ), each of which is layered. The deep fiber layer (DFL), the deepest layer, constitutes the core of the ELL and is shared by all zones. In
the MZ, DFL is covered with an inner cell layer (ICL), outer fiber
layer (OFL), outer cell layer (OCL), and molecular layer (ML), in that
order from the core. In DZ and VZ, DFL is covered only with OCL and ML.
OCL and ML are continuous throughout all three zones. Intracellular
fills with biocytin revealed projection areas in two midbrain
structures: the nucleus praeeminentialis (PE) and the torus
semicircularis (hereafter torus). The torus consists of four distinct
subdivisions: lateral anterior (LA), lateral posterior (LP), medial
dorsal (MD), and medial ventral (MV). Anatomical nomenclature of brain
structures of Gymnarchus in this paper follows that of Bass
and Hopkins (1982)
.

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Figure 1.
Overview of the hindbrain and midbrain of
Gymnarchus. A, Dorsal view showing
locations of transverse sections
(B-H). B, C, Torus
semicircularis is subdivided into four divisions: LA,
MD, LP, and MV. D,
E, PE lies caudoventral to the torus. F-H, ELL.
DZ of ELL starts at level of F, and MZ starts at level
of G. In H, MZ occupies most of ELL.
SP, Nucleus subpraeeminentialis.
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High-resistance seal was readily established on neurons in the two
layers, OCL and ICL, of the DZ and MZ. No attempt was made to establish
high-resistance seal in the ML and the DFL to avoid clogging of
electrodes. We recorded and labeled 24 neurons in the DZ and 71 neurons
in the MZ using the S1/S2 stimulus
regimen and six neurons in the DZ and 25 neurons in the MZ using the
phase chamber.
Experiments with S1/S2 stimuli
Neurons in DZ
All recorded and labeled neurons in DZ (n = 24)
were identified in OCL. Seventeen of 24 were sensitive to amplitude
modulation of the carrier signal (tuberous type), and seven were
sensitive to low frequency (<50 Hz) carrier signal (ampullary type,
see a designated section for ampullary neurons below).
The tuberous-type neurons responded to amplitude modulation of
S1. When S2 was added to create differential
phase modulation in addition to amplitude modulation, neurons still
responded solely to amplitude modulation (Fig.
2). This can be seen by comparing two
histograms for negative and positive Dfs that have an identical and
synchronous time course for amplitude modulation but a 180°-shifted time course for different signs of Df. Differences of locations of
histogram peaks, expressed by p (see Materials and Methods), between the histograms for positive and negative Dfs were <30° for
all neurons. Thus, we conclude that these neurons are sensitive exclusively to amplitude modulation.

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Figure 2.
All neurons found in DZ were sensitive only to
amplitude modulation. Montage photomicrograph is shown at
left, response histograms of corresponding neurons at
right. Histograms were constructed against modulation
cycles (~30 cycles, 2 Hz). Two traces below each histogram indicate
time courses of amplitude modulation (AM) and
differential phase modulation (DPM).
Vertical thin lines at the left end of the histograms
represent 100 spikes/sec for A2-7, and 25 spikes/sec for B2-6. Vertical broken
lines mark location of p, indicating response
peaks. Small inset histograms show distribution of
response spikes in the carrier signal cycle. Numbers below these
histograms indicate degree of phase locking, v (see
Materials and Methods). A, An E-type neuron;
A1, photomicrograph;
A2-7, response histograms from this neuron.
A2, S1 and S2 were
applied with a frequency difference Df = 2 Hz.
A3, S1 and S2 were
applied with a frequency difference Df = +2 Hz. Note different
temporal combinations of amplitude and phase modulations shown by the
two traces below the histograms. A4-7,
S2 was turned off and S1 was modulated only in
amplitude. Depth of amplitude modulation was made progressively
smaller. B1-6, An I-type neuron. Responses in
A4-6 and B4,5 are
statistically significant at p < 0.01 (Rayleigh's
test).
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These neurons were sensitive to small-amplitude modulation. All neurons
showed strong responses to amplitude modulation of 5%. Some neurons
showed significant responses to 0.5% of amplitude modulation
(Rayleigh's test; Batschelet, 1965
) (Fig. 2).
Five of 17 neurons responded to amplitude increases or amplitude peaks
(E-type, Fig. 2A), and the remaining 12 responded to amplitude decreases or responded at amplitude troughs (I-type, Fig. 2B). Both types of neurons had similar somata
(21.5 ± 4.74 µm in diameter) and apical dendrites
(1.8-2.0-µm-thick). The apical dendrite consists of a few proximal
dendrites that further ramify into ~12 distal dendrites that
penetrate into ML. The distal dendrites are ~0.5-µm-thick, and the
dendritic field covers several hundred microns. Basal dendrites are
larger and penetrate deeper into DFL in E-type neurons (~250-300
µm) than in I-type neurons (~150-200 µm). All neurons of
tuberous type in DZ were projection neurons that send their axons out
of ELL via DFL to the midbrain (see below).
Neurons in MZ
Seventy-one neurons were labeled in MZ using the
S1/S2 stimulus regimen. Of these, 55 were labeled in OCL and 16 in ICL.
OCL of MZ
The neurons found in this area (n = 55) were
classified into four categories based on their responsiveness to
amplitude and differential phase modulation. Twelve neurons were
categorized as sensitive only to amplitude modulation, as were the
tuberous neurons in DZ. Ten neurons were categorized as sensitive
solely to differential phase modulation, and 22 neurons responded to both amplitude and differential phase modulations. The remaining 11 neurons were of the ampullary type.
Figure
3A,B
shows an E-type and an I-type neuron that were sensitive solely to
amplitude modulation. Much as in neurons in DZ, difference of
p in their modulation cycle histograms for negative and
positive Df was <30° (n = 12). These neurons had
soma diameters of 23.1 ± 5.3 µm. Soma locations of I-type
neurons (n = 6) tended to be deeper than E-type neurons
(n = 6). The dendritic field for the basal dendrites of
I-type neurons tended to be larger (up to 500 µm in diameter) than
that of E-type neurons and may spread deeper into OFL (the neuron shown
in Fig. 3B is atypical in this regard). Their apical main
dendrite (3-µm-thick) branches into several and then to >10 distal
processes covering several hundred microns into ML.

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Figure 3.
Neurons recorded in OCL of MZ. A,
An E-type neuron. Note that response peaks occur during the rising
phase of amplitude modulation regardless of differential phase
modulation. B, An I-type neuron responding at the
amplitude troughs regardless of differential phase. C, A
differential phase-sensitive neuron. Note that response peak shifts by
~180° when the sign of Df is switched. D, A neuron
that responded to both amplitude and differential phase modulation.
Note that the response peak was shifted by 245°. Vertical thin
lines at the left end of histograms indicate 30 spikes/sec in
A and B, 50 spikes/sec in
C, and 100 spikes/sec in D.
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The second type of neurons responded only to differential phase
modulation. As presented in Figure 3C, the response peak
moved by ~180° when the sign of Df was switched, indicating that
the response peaks appeared at a nearly same point in the differential phase function (lower traces of modulation sinusoids in the figure). Neurons were categorized as purely differential phase-sensitive when
the difference of p between negative- and positive-Df
modulation histograms was 180° ± 30° (n = 10).
These neurons also had a large apical dendritic tree in ML. Soma
diameter was 19.3 ± 5.1 µm. Their basal dendrites spread
horizontally over several hundred microns but were confined in OCL and
did not penetrate into OFL.
Somata of amplitude-sensitive neurons were more deeply located in the
OCL than those of differential phase-sensitive neurons. If the depth of
somata is expressed by percentage of distances between outer edge of
OCL and inner edge of ICL, soma depths measured from the outer edge of
OCL were 20.8 ± 7.7% for amplitude-sensitive neurons, and
6.7 ± 9.3% for differential phase-sensitive neurons.
The third type of neurons (n = 22) responded to both
amplitude and differential phase modulations. The neuron shown in
Figure 3D shifted its response peak (p) in
the modulation cycle histograms by 245° when the sign of Df was
switched. This neuron primarily responded to differential phase
modulation (a 180° shift is expected) but also preferred larger
amplitude, shifting the response peaks by 65° toward the points at
which amplitude was largest. Some other neurons responded to amplitude
and differential phase modulations equally well by shifting response
peaks by ~90°. This last type of neuron was further investigated
physiologically in the phase chamber (see below) in which amplitude and
differential phase modulation could be independently manipulated.
The last type of neurons (n = 11) responded to
low-frequency signals (see below).
ICL of MZ
Sixteen neurons were recorded and labeled in ICL of MZ. Seven of
those responded solely to differential phase modulation (Fig. 4), with the difference of p
between negative-Df- and positive-Df-modulation histograms being 180° ± 30°, as in the phase-sensitive neurons in OCL. Eight neurons,
however, showed larger shifts of response peaks in modulation
histograms for negative and positive Dfs, indicating the influence of
amplitude modulation. This neuron type was further studied in the phase
chamber (see below). These two physiological types did not appear to
differ in their morphology. Their soma diameter was 16.0 ± 5.6 µm, and they also have apical and basal dendrites. The dendritic
morphology differed from that of OCL neurons. The primary apical
dendrite was thicker (~3 µm) and penetrated straight into OFL, OCL,
and ML. Only three to five thick (~3 µm) branches emerged from the
primary dendrite after it entered ML. The basal dendrites were short
but thicker and spread along the boundary between ICL and DFL where
giant neurons terminate (Kawasaki and Guo, 1996
).

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Figure 4.
A differential phase-sensitive neuron in ICL of
MZ. Note the shift of response peak by ~180°. Also note high values
of v indicating a high degree of spike synchronization
to the carrier signal. Vertical thin lines: 100 spikes/sec.
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One exceptional neuron in ICL responded exclusively to amplitude
modulation. This neuron showed similar morphology to the rest of the
ICL neurons.
Experiments using the phase chamber
As mentioned above, some neurons in MZ appeared to respond to both
amplitude and differential phase modulation when tested with the
S1/S2 signal. Because these neurons are
potentially important for the control of JAR, which requires temporal
analysis of amplitude and differential phase modulation, they were
further investigated using the phase chamber in which the head and
trunk areas of the animal were electrically isolated so that effects of
amplitude modulation and phase differences between head and trunk areas could be individually studied. Twelve neurons in ICL and 19 neurons in
OCL were physiologically recorded and successfully labeled in these
experiments.
Figure 5A shows responses of a
neuron that was later anatomically identified in ICL. The situation in
which the EOD frequency of the animal is 1 Hz lower than that of a
neighbor (Df = +1 Hz) is emulated in Figure 5A1
by presenting a particular combination of amplitude and phase
modulations in the head compartment, whereas no modulation is presented
in the trunk compartment. In contrast, Figure 5A2
emulates the situation in which Df =
1 Hz. If the neuron
responded solely to amplitude modulation, the response peak in the
histograms in Figure 5, A1 and A2, should have occurred at the same position.
Conversely, if the neuron responded solely to differential phase
modulation, the peak should have moved by 180°, as indicated by the
stimulus traces for phase (broken lines). In reality,
the peak moved by ~120° in this neuron, indicating that both
amplitude and phase modulation affected the response. Similar results
were obtained when the signals of the head and trunk compartments were
swapped (Figs. 5A3,A4).

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Figure 5.
Four example neurons tested with the phase
chamber. Each column of histograms represents data from one neuron.
Top left, Head and trunk of fish were isolated
electrically by a partition (>40 dB). Top center, Each
compartment was given a sinusoidal stimulus whose amplitude and phase
were independently controlled. Top right, Explanation of
stimulus traces under the histograms presented below: top two traces
represent signals in the head compartment
(H), bottom two traces represent signals
in the trunk (T). Solid and
broken lines, respectively, indicate amplitude and phase
modulation. Phase advance is plotted upward. A-C,
Differential phase-sensitive neurons in MZ that respond to phase
difference between the two compartments (compare
A5,6, B3,4,
C5,6). Amplitude modulation also induces
responses (A7,8, B6, and
C7). See Results for detailed explanation.
D, An amplitude-sensitive neuron in DZ that responded
only to amplitude modulation in the head compartment
(D1-4). Amplitude modulation in the trunk
(D5) or phase modulation anywhere
(D1, D2,
D6) had no effect. Vertical thin
lines: 50 spikes/sec for all histograms.
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Experiments in Figure 5, A5 and
A6, show that this neuron is sensitive to phase
differences between the two chambers because it responded equally to a
phase advance of the head and to a phase delay of the trunk. Responses
in Figure 5, A5 and A6,
disappeared when the signal of the unmodulated compartment was turned
off or both compartments were stimulated with the identical phase
modulations (data not shown). In Figure 5, A7 and
A8, phase modulation was turned off, and effects of
amplitude modulation alone were examined. When amplitude modulation was
given in the head compartment, the neuron responded at amplitude trough
(Fig. 5A7), whereas the neuron responded to
amplitude peak when it was applied to the trunk compartment (Fig.
5A8). This amplitude-induced response completely
disappeared when the unmodulated signal in the opposite compartment was
turned off (Fig. 5A9). Other neurons shown in Figure
5, B and C, are similar, except that the effect
of amplitude modulation was smaller in the head compartment in the
neuron presented in Figure 5B and in the trunk compartment in Figure 5C. Phase-locked neurons that provide input to the
differential phase-sensitive neurons are not completely indifferent to
amplitude modulation because their firing latency is often slightly
shorter for stimulus of large amplitude (see Discussion). All other ICL neurons recorded with the phase chamber were differential
phase-sensitive and showed responses to pure amplitude modulation,
although the degree of responses to amplitude modulation varied
significantly. In some neurons the sensitive area was limited to one of
the compartments. Morphology and location of these ICL neurons labeled
in the phase-chamber experiments were indistinguishable from those of
neurons labeled in experiments with the
S1/S2 stimulus regimen.
Neurons found in OCL in the phase-chamber experiments were categorized
into two groups, differential phase-sensitive (n = 12)
and amplitude-sensitive (n = 7), as in the
S1/S2 experiments. Response properties
of the differential phase-sensitive neurons in OCL were similar to
those in ICL. Figure 5B shows an example that showed
responses to amplitude alone and only in the trunk compartment (Fig. 5,
compare B5,B6). Figure 5C shows another example in which amplitude modulation had
an effect primarily in the head compartment. Again, responses to pure
amplitude disappeared when the signal in the other compartment was
turned off (Fig. 5B7). Figure 5D shows an
OCL neuron that responded solely to amplitude modulation in the head
compartment.
Because the interaction of amplitude and differential phase sensitivity
may give rise to selectivity for the sign of Df, all neurons recorded
in the phase chamber were carefully examined for possible selectivity
for the sign of Df. Histograms (repetition = 30) were constructed
several times for each sign of Df and the spike frequency of the neuron
was computed. Although sensitivity of neurons may change somewhat over
several minutes in an unpredictable manner, no systematic and
significant difference was observed between two signs of Df in any
neuron examined (n = 31).
Degrees of phase locking in different types of neurons
The degree of synchronization of spikes to the carrier signal was
computed whenever we constructed histograms for modulation cycles. Each
histogram in Figures 2-4 has an inset histogram that shows
distribution of spikes in the cycle of the carrier signal. The vector
strength, v, is shown below these histograms. The
differential phase-sensitive neurons in ICL consistently showed a high
degree of synchronization. The differential phase-sensitive neurons in OCL showed an intermediate degree of synchronization.
Amplitude-sensitive neurons in DZ and MZ showed the lowest degree of
synchronization (Table 1).
Projection of tuberous type ELL neurons
Intense labeling was shown in ~80% of tuberous-type neurons
into which biocytin was attempted to be injected. Without exception, these intensely labeled neurons possessed an axon that exited the ELL.
In the rest of the tuberous-type neurons, only a part of the dendritic
tree was weakly labeled. We did not find labeled axons or labeled
somata in these cases. We found a projecting axon in all tuberous-type
neurons that showed good labeling of somata and dendrites.
All neurons in DZ and the ICL of MZ were found to send their axons into
DFL. Some neurons in OCL of MZ similarly send axons into DFL, but axons
of other neurons run along OFL ventrally before exiting ELL. Projection
of ELL neurons is shown in Figure 6. All of these axons entered the ELL commissure, which connects two halves of
the ELL and contains commissural axons of giant cells (Kawasaki and
Guo, 1996
). The axons left the ELL commissure ventrolaterally immediately after crossing the midline. This contralateral projection ran toward the lateral end of the brain and then turned anteriorly toward the motor nucleus of the trigeminal (Fig. 6A,
mV). In the majority of cases, the axon gave off an
ipsilateral branch of a few hundred microns before crossing the midline
(Fig. 6C). In some cases, however, no ipsilateral branch was
seen despite strong labeling of the axon. This type of exclusively
contralateral projection was confirmed in a differential
phase-sensitive neuron in OCL of MZ. Other cases in which no
ipsilateral branching was observed were not conclusive because faint
staining of the axons was often the case at this level.

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Figure 6.
Projection paths and their terminals of ELL
neurons revealed by whole-cell recording and labeling with biocytin.
A, A majority of neurons send their axons to both
contralateral and ipsilateral pathways (broken lines)
and terminate in both the PE and the torus.
Broken-line rectangles indicate
approximate location of example photomicrographs shown in
B-E. B, An
amplitude-sensitive neuron in DZ is sending its axon in DF.
C, This axon gives off an ipsilateral branch before it
reaches the midline. The projection terminals seen in the right lower
corner in C were observed only in this neuron. D,
E, Projection terminals of the differential phase-sensitive
neuron in ICL that is shown in Figure 4. D1,
Camera lucida drawing of terminal branches in the PE.
D2, A montage photomicrograph from two 100-µm
thick sections containing the same terminal branches. E,
Contralateral terminal branches and their endings in the torus. A
montage photomicrograph from different focal planes in five consecutive
100-µm-thick sections.
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The ipsilateral axons ran along a more medial path than the
contralateral ones. At the level of the PE, the contralateral path from
ELL neurons in one side merged with ipsilateral paths from neurons in
the opposite sides of the ELL. There, most of the neurons (all of ICL
and most of amplitude and phase neurons in OCL) gave off a collateral
that projected in the PE. The collateral spreads a large (600-700
µm) terminal field within PE (Fig. 6D). Projection
to the PE was confirmed from both contralateral and ipsilateral axons.
The main axons of 23 neurons were intensely labeled and could be
followed further to the end of their projection terminals in the torus.
In one I-type neuron in DZ, labeling of the axon was intense at the
level of PE, but neither contralateral nor ipsilateral branch gave
projection to PE. No neuron was found to exclusively project to PE.
After passing the region of PE, the axon bundle ran into the ventral
border of the torus. Thereafter, the paths were neuron-type dependent.
Axons of all DZ neurons entered the LP subdivision of the torus. No
axon terminals of DZ neurons were found to project to other parts of
the torus. Within LP all observed axons spread extensively as they
reached the lateral end of the nucleus. In contrast, the projection of
axons of all MZ neurons was exclusively to the MD and LA subdivisions
of the torus. The axon recursively branched into numerous fine terminal
processes (0.3-0.5-µm-thick) that reached the surface of the torus.
The terminal spread was generally extensive (up to 1 mm)(Fig.
6E).
Ampullary neurons
During the course of study of tuberous-type ELL neurons, we
encountered neurons that could not be driven either by amplitude or
differential phase modulation, or by a combination of them. Some of
these neurons strongly responded when an EOD mimic was replaced with a
1 Hz sinusoidal signal. Although the ampullary electrosensory system
was not the primary focus of this study, occurrence of these neurons is
reported here because of their novel location (see Discussion).
Two of these neurons were found in OCL of MZ and had apical dendrites
that penetrated into ML much as tuberous-type neurons. One of them
responded to the voltage-decreasing slope of the signal, and the other
neuron responded to the opposite slope (Fig.
7). Only the former neuron was labeled
strongly enough to follow its axon, which terminated in the MD of the
torus. The projection was observed only in the contralateral torus, but
not in the PE.

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Figure 7.
Low-frequency-sensitive neurons found in the ELL.
A1, Neuron with apical dendrites in ML.
A2, Voltage trace of whole-cell recording from
this neuron showed responses to decreasing slopes of stimulus voltage.
A3, Voltage trace of another neuron showing
preference to voltage increasing slope. The neuron for the trace in
A3 also had apical dendrites in ML (morphology
not shown because of lack of complete labeling). Sinusoidal traces at
the bottom in A2 and A3
indicate stimulus voltage (2 Hz, 0.2 mV/cm). B, A
commissural neuron in ELL. B1, Camera lucida
drawing of the neuron that was sensitive to voltage-decreasing slope.
Processes surrounding the soma (in the left ELL) extended 1000 µm in
the depth of the drawing. The contralateral terminal field (in the
right ELL) consisted of thin (0.3 µm) processes and extended 600 µm
in the depth of the drawing. Photomicrographs of two parts of the
neuron are shown in B2 and
B3. B4, Voltage trace of
responses of this neuron to 5 Hz signal (0.5 mV/cm) showing preference
to voltage-decreasing slopes. B5, Response of
another neuron showing preference to voltage-increasing slopes.
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Other neurons (n = 4) had soma (~13 µm) in DZ or in
MZ (Fig. 7B). They had many branches of proximal dendrites
that were highly ramified (field size, ~1000 µm). Their
axons bifurcated at ~200 µm from the soma. The ipsilateral axon
branch extensively ramified and spread in OFL of MZ. The other branch
ran into OFL, crossed the midline, and reached the corresponding
contralateral area. There the axon ramified into a large (~600 µm)
terminal field. These neurons showed preferences either for negative or
positive slope of signal voltage and did not send axons to the
midbrain.
Ten other neurons that strongly responded to a low-frequency sinusoidal
signal were found in DZ and MZ, but the labeling of these neurons was
not complete and only their soma (diameter, 11.67 ± 2.89 µm)
and a part of their processes were seen. Projection areas could not be
identified in these partially filled neurons.
The ampullary-type neurons occurred in the same areas in DZ and MZ in
which we labeled tuberous-type neurons.
We did not penetrate the VZ and, thus, the type of neurons that exist
in the VZ of Gymnarchus is unknown.
 |
DISCUSSION |
Major findings of this study are as follows: (1) distribution of
neuron types within the ELL has been determined (Fig.
8); (2) information on amplitude and
differential phase is represented separately by different neurons in
the ELL; (3) nonlinear interactions between amplitude and differential
phase information, which are required for the jamming avoidance
response, do not occur within the ELL; (4) DZ of the ELL is dedicated
to processing amplitude information; (5) OCL of MZ contains both
amplitude-sensitive neurons and differential phase-sensitive neurons;
and (6) these ELL neurons project to the torus semicircularis and the
nucleus praeeminentialis of the midbrain in a partially overlapping
manner.

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Figure 8.
Summary diagram showing areas of the ELL and
neuron types. Only amplitude-sensitive neurons were found in the OCL of
DZ. Only differential phase-sensitive neurons were found in the ICL of
MZ. Both types of neuron were found in the OCL of MZ. Ampullary type
neurons were found in the OCL of both MZ and DZ.
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A behavioral study (Kawasaki, 1993
) demonstrated that
Gymnarchus, when it encounters a jamming neighbor,
determines whether it should raise or lower its own discharge frequency
by analyzing temporal patterns of amplitude and differential phase
modulation. As shown in Figures 2 and 3, some neurons in ELL are purely
sensitive to either amplitude or differential phase modulation,
representing separate processing of these two cues. Amplitude and phase
information are respectively sampled by O-type and S-type afferent
fibers (Bullock et al., 1975
). Although S-type fibers project to the ICL of MZ (Kawasaki and Guo, 1996
), the projection pattern of O-type
fibers within ELL has not been determined yet. Labeling of individual
O-type fibers is required to determine whether the same fibers project
to both areas.
The present finding that the amplitude-sensitive neurons in DZ and OCL
of MZ project in different areas in the torus suggests that they may
have different functions. Different behavioral roles and physiological
properties of areas in ELL have been shown in a gymnotiform electric
fish, Eigenmannia (Shumway, 1989a
,b
; Metzner and Juranek,
1997
). As in other groups of fishes [Mormyrids (Bell and Grant, 1992
);
Gymnotiformes (Scheich, 1977
; Bastian, 1981
); and catfish (McCreery,
1977
)], Gymnarchus have both E-type and I-type
amplitude-sensitive neurons in ELL. Both types of neurons, particularly
in DZ, are highly sensitive to small-amplitude modulation (~0.5%),
as shown in Figure 2. Behavioral experiments using the jamming
avoidance response demonstrated that Gymnarchus can detect 0.02% of amplitude modulation (Guo and Kawasaki, 1997
).
Differential phase-sensitive neurons found by our previous study using
sharp intracellular electrodes (Kawasaki and Guo, 1996
) were confirmed
in the current study by a whole-cell patch recording and labeling
technique. This technique also allowed us to label axons to their
terminals in the midbrain. The differential phase-sensitive neurons in
both ICL and OCL projected solely to the midbrain, and we did not
observe any axon collaterals that projected within the ELL. Based on
single-cell labeling of input elements, Kawasaki and Guo (1996)
suggested that differential phase-sensitive neurons in ICL of MZ
directly receive phase-locked inputs from S-type afferents and giant
neurons, but phase-locked neurons do not reach OCL of MZ. Thus, the
differential phase-sensitive neurons in OCL must receive differential
phase information via another interneuron or from the differential
phase-sensitive neurons in ICL without axonal conduction. The putative
interneurons could not be recorded in this study, perhaps because of
the sampling bias of our whole-cell patch electrodes. Sequential
processing of differential phase information by neurons in ICL and OCL
is supported by distinct differences in the degree of synchronization
of spikes to stimulus cycles (Table 1).
These differential phase-sensitive neurons often showed responsiveness
also to amplitude modulation. The amplitude sensitivity is explained by
the amplitude-dependent phase shift of phase-locked afferent fibers
(Kawasaki and Guo, 1996
, their Fig. 12G). These phase-locked
afferent fibers show slightly shorter latency for increased amplitude
of the stimulus, and this latency shift in turn stimulates the
differential phase neurons. Figure 5, A5 and
A6, show that this neuron is sensitive to delayed phase in the head or advanced phase in the trunk. Responses to amplitude modulation in Figure 5, A7 and
A8, can be interpreted as responses to phase shifts
induced by amplitude modulation (compare
A5,A7, and
A6,A8). The notion that the
responses in Figure 5, A7 and A8, are responses to an amplitude-induced phase difference is further supported by the fact that the neuron ceases to respond to amplitude modulation when the signal in the other compartment is turned off
(compare A7,A9). In some
neurons, the effect of amplitude modulation in one compartment was
small or nonexistent (Fig.
5B5,C7). In these neurons, the
amplitude-latency function for one of the compartments must be flat, as
shown by some of the phase-locked fibers (Kawasaki and Guo, 1996
, their Fig. 12G), which explains why the shift of the histogram peak in Figure
5, C1 and C2, is smaller than
that in Figure 5, C3 and C4. From
these observations, we conclude that the neurons in ELL that are
sensitive to both amplitude and differential phase receive only phase
information, and the amplitude information carried by O-type afferent
fibers does not reach these neurons. A similar intensity-phase
trade-off is known in binaural phase-sensitive neurons in the inferior
colliculus of the cat (Kuwada and Yin, 1983
; Yin and Kuwada, 1983
).
Control of the jamming avoidance response requires neurons that
integrate amplitude and differential phase information. The integration
should be nonlinear in nature because different temporal patterns of
identical inputs must yield different responses (Kawasaki, 1993
). The
integration of responses to amplitude and differential phase
modulations in the ambiguous neurons discussed here, however, is
linear: the responses to separately presented amplitude and differential phase stimulus largely predict the responses to the simultaneous presentation of component signals. In fact, none of the
neurons recorded in ELL in this study show selectivity to different
patterns of amplitude and phase modulation that represent different
signs of Df. The LP and LA of the torus, a common projection area of
amplitude and differential phase-sensitive neurons of the ELL, is a
likely area in which neurons that are selective to the sign of Df might
be found.
All tuberous neurons recorded in this study were of similar
morphological type with large apical dendrites, clearly reflecting the
sampling bias of the whole-cell recording technique used in this study.
Although the size of postsynaptic potentials sometimes reached 30 mV,
they were usually relatively small (10-15 mV), whereas resting
potentials were always large (
40 to
50 mV), indicating that our
recording was often made in the apical dendrites.
This study also demonstrated that the projection pattern of ELL neurons
to the midbrain in Gymnarchus is vastly different from that
of closely related pulse-type mormyrid fishes. In
Gymnarchus, phase comparison is performed in the ELL, and
amplitude and differential phase-sensitive neurons coexist in the same
region (MZ) of the ELL. These amplitude and differential
phase-sensitive neurons commonly project to LA and MD of the torus. DZ
of the ELL is dedicated to amplitude processing. In contrast, in
pulse-type mormyrid fishes, the phase comparison is performed in the
nucleus exterolateralis of the torus semicircularis that receives
phase-locked input via a distinct region of the ELL, the nucleus of
electrosensory lateral line lobe (Amagai, 1998
; Amagai et al., 1998
;
Friedman and Hopkins, 1998
). In the ELL of mormyrid, the amplitude
coding A-type fibers terminate in the MZ, whereas phase-sensitive
B-type fibers terminate in DZ (Maler et al., 1973a
,b
; Bell et al.,
1981
, 1989
; Bell, 1990a
,b
; von der Emde and Bell, 1994
). These
comparisons indicate that organization of sensory processing can be
rather different even between closely related species (Kawasaki,
1996
).
Differential phase-sensitive neurons in the ELL were previously shown
to be sensitive to small phase differences on the order of microseconds
(Guo and Kawasaki, 1997
; Kawasaki, 1997
). Likewise, amplitude-sensitive
neurons in the ELL were found to be sensitive to small-amplitude depths
of modulation in this study. Both amplitude and phase difference change
their center values of modulation in natural conditions. The large
apical dendrites of ELL neurons, which are demonstrated to be involved
in descending control in other electric fishes (Bell et al., 1997
), may
be also involved in a mechanism that sets a working range of the
neurons to the center value of the modulation. The projection of ELL
neurons in Gymnarchus to the PE is likely to be involved in
the descending pathway (Bastian and Bratton, 1990
).
Neurons sensitive to low-frequency signals (<50 Hz) have been found
intermingled with tuberous-type neurons in MZ and DZ in this study of
Gymnarchus. This is a unique form of neural organization among electric fish species. Neurons sensitive to low-frequency signals
were found exclusively in the VZ in closely related mormyrid fishes
(Bell and Russell, 1978
; Bell, 1981
) and in remotely related gymnotiform electric fishes; low-frequency-sensitive neurons are also
found in a dedicated area, the medial zone of the ELL (Maler et al.,
1974
; Heiligenberg and Dye, 1982
; Shumway, 1989a
,b
).
An independently evolved South American electric fish,
Eigenmannia, performs similar JAR (Heiligenberg, 1991
).
Despite the independent evolution, the computational algorithms for JAR
in Gymnarchus are remarkably similar to those in
Eigenmannia (Kawasaki, 1993
). Nevertheless, different forms
of neuronal implementation of the same computational tasks are being
discovered (Kawasaki, 1996
). For example, different brain structures,
the hindbrain in Gymnarchus and the midbrain in
Eigenmannia, compute differential phase information (Carr et
al., 1986
; Kawasaki and Guo, 1996
). The current study showed that the
two tasks for JAR, separate processing and integration of amplitude and
phase information, are performed by different brain structures in
Gymnarchus, whereas these tasks are accomplished by a
layered nucleus in the midbrain in Eigenmannia (Rose and
Heiligenberg, 1985
).
 |
FOOTNOTES |
Received May 26, 1998; revised July 6, 1998; accepted July 9, 1998.
This study was supported by National Institute of Mental Health Grant
R29 MH48115-01A1, Research Scientist Development Award K-02
MH01256-01 from the Alcohol, Drug Abuse, and Mental Health Administration, and National Science Foundation Grant IBN9631785 to
M.K. We thank Yasuko Kawasaki for preparation of figures. We thank two
anonymous referees for critical comments and Cameron McLaughlin for
editing English.
Correspondence should be addressed to Masashi Kawasaki, Department of
Biology, Gilmer Hall, University of Virginia, Charlottesville, VA
22903.
 |
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