 |
Previous Article | Next Article 
Volume 16, Number 12,
Issue of June 15, 1996
pp. 3837-3847
Copyright ©1996 Society for Neuroscience
Temporal Representations of Odors in an Olfactory Network
Gilles Laurent,
Michael Wehr, and
Hananel Davidowitz
California Institute of Technology, Biology Division, Pasadena,
California 91125
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
FOOTNOTES
REFERENCES
ABSTRACT
The responses of projection neurons in the antennal lobe of the
locust brain (the functional analog of mitral-tufted cells in the
vertebrate olfactory bulb) to natural blends and simple odors were
studied with multiple intra- and extracellular recordings in
vivo. Individual odors evoked complex temporal response patterns
in many neurons. These patterns differed across odors for a given
neuron and across neurons for a given odor, but were stable for each
neuron over repeated presentations (separated by seconds to minutes) of
the same odor. The response of individual neurons to an odor was
superimposed on an odor-specific coherent oscillatory population
activity. Each neuron usually participated in the coherent oscillations
during one or more specific epochs of the ensemble activity. These
epochs of phase locking were reliable for each neuron over tens of
repeated presentations of one odor. The timing of these epochs of
synchronization differed across neurons and odors. Correlated activity
of specific pairs of neurons, hence, generally occurred transiently
during the population response, at times that were specific to these
pairs and to the odor smelled. The field potential oscillations,
therefore, fail to reveal a progressive transformation of the
synchronized ensemble as the response to the odor unfolds. We propose
that (1) odors are represented by spatially and
temporally distributed ensembles of coherently firing
neurons, and (2) the field potential oscillations that characterize
odor responses in the olfactory system occur, at least in this animal,
in parallel with a slower dynamic odor representation.
Key words:
locust;
olfaction;
coding;
cross-correlation;
synchronization;
oscillation
INTRODUCTION
Natural odors (such as plant fragrances) usually
are complex blends of many volatile compounds. The percept that a
natural fragrance evokes in us, however, is usually singular (e.g.,
jasmine, onion, or a skunk). Our brains, therefore, most likely form a
unique internal representation of each specific blend from which
individual components (such as amylacetate or heptanone) are difficult
or impossible to segment. This specific odor representation, in
addition, must be sufficiently inclusive to allow like odors (e.g.,
roses of distinct varieties, or roses smelt in different climatic
conditions) to be ``recognized'' as the same. Finally, this
representation must be stable over time; odor memories generally are
very long-lasting (Hildebrand, 1995 ).
A major challenge in the study of olfaction is to understand the
computational rules or algorithms used by the brain to encode, store,
and retrieve these complex and multidimensional stimuli. Recent
remarkable developments in the molecular biology of vertebrate
olfaction have shed light on some crucial aspects of the ``mapping''
of odor signals in the olfactory bulb (Buck and Axel, 1991 ; Vassar et
al., 1994 ; Axel, 1995 ; Sullivan et al., 1995 ). These results complement
physiological and imaging studies of odor processing that indicate
broad, distributed stimulus representation schemes (Kauer, 1991 ;
Cinelli et al., 1995 ). Other recent results from physiological studies
of molluscan and insect olfaction indicate that the olfactory nervous
system of several invertebrates generates oscillations (Gelperin and
Tank, 1990 ; Delaney et al., 1994 ; Laurent and Naraghi, 1994 ), a
macroscopic feature similar to one described previously in the
olfactory brain of vertebrates (Libet and Gerard, 1939 ; Adrian, 1942 ;
Freeman, 1975 , 1978 ; Gray and Skinner, 1988 ; Satou, 1990 ; Gray, 1994 ).
These results, combined with anatomical evidence that arthropod,
molluscan, and vertebrate olfactory circuits have very similar designs,
suggest that the computational rules used by olfactory systems may be
similar (or conserved) across animal phyla.
We focus here on odor processing in the olfactory nervous system
of an insect, the locust Schistocerca americana, and examine
the properties of individual and ensembles of neurons in response to
odor presentation in vivo, continuing the studies of Laurent
and Naraghi (1994) and Laurent and Davidowitz (1994) . These neurons are
the antennal (or olfactory) lobe projection neurons (PNs) whose signals
are sent to the mushroom body, a center for learning and memory (Davis,
1993 ; Hammer and Menzel, 1995 ). The PNs, thus, are the functional
analog of the mitral-tufted cells in the vertebrate olfactory bulb. In
this paper, we examine in detail the potential role of time as a
variable in the combinatorial representation of sensory stimuli by this
part of the brain. We focus on processing of odors to which the animal
has been exposed, i.e., we do not consider here the responses evoked by
the first one to three presentations of an unfamiliar odor. We find
that the temporal firing patterns of individual neurons, as well as the
synchronization of firing across groups of neurons, are stimulus
specific. In other words, each odor appears to be represented not
simply by an ensemble of synchronized neurons but by a progressive and
odor-specific transformation of that ensemble, so that each neuron
synchronizes with several others only during one or more precise epochs
of the ensemble response. We, thus, propose that oscillations in the
olfactory nervous system occur, at least here, in parallel with a
slower code that is distributed both in time and across many
neurons.
MATERIALS AND METHODS
The preparation. Adult locusts were immobilized and
dissected as described in Laurent and Naraghi (1994) and Laurent and
Davidowitz (1994) . The following modifications were applied to the
experimental protocol used in this study (see Figs. 5, 6, 7). The gut was
left intact, and the head was only intermittently (rather than
continuously) superfused with locust physiological saline containing
(in mM): 140 NaCl, 5 KCl, 5 CaCl2, 4 NaHCO3, 1 MgCl2, and 6.3 HEPES, pH 7.0.
Fig. 5.
Simultaneous recordings of activity from three PNs
and the ipsilateral mushroom body, showing directly the complex and
odor-dependent temporal activity patterns. Top trace is the
LFP. Traces 2-4 from top are raw
extracellular recordings from the three PNs. Traces
5-7 are the raster plots created from traces 2-4 (see
Materials and Methods for details) used for data analysis. Traces
8-10 are poststimulus-time histograms created for
each PN from n presentations of the same odor (n
given on right of each bottom trace). Bottom
trace, Odor pulse (1 sec). A-D, Data
recorded and analyzed in the same conditions and from the same three
PNs in response to 4 different odors (of 11 sampled alone and 3 binary
combinations). Note the differing temporal response patterns of the
three neurons for each odor, and of each neuron for the four odors.
Note also the long period of coactivity of PNs 1 and 2 (1.5 sec) in
response to strawberry (A).
[View Larger Version of this Image (31K GIF file)]
Fig. 6.
The timing of the synchronization between
individual PNs and the field potential oscillations is neuron and odor
specific. Cross-correlations calculated between the field potential and
each of the three PNs recorded in Figure 5 for responses to strawberry
odor (see Materials and Methods for details on color scales). Each
panel is an average calculated over 27 presentations of the
odor. The cross-correlation patterns displayed here, therefore, are
consistent over repeated presentations of the same stimulus. Note that
the time periods at which each of the three neurons synchronize with
the LFP differ and sometimes partially overlap (PN1, 2: A,
B; PN1, 3: A, C), indicating that
these neuron pairs probably synchronize during these periods (see Fig.
7).
[View Larger Version of this Image (72K GIF file)]
Fig. 7.
Synchronized oscillations in pairs of PNs are
odor specific and restricted to small temporal windows during the
ensemble response. Each panel
(A-C) plots the cross-correlation
calculated pairwise (PN 1 × 2 in A; 2 × 3 in B;
1 × 3 in C) with a sliding-window method (see Materials and
Methods) between the spike trains of the three PNs in Figure 5, in
response to strawberry. (Same data files as those used for Fig. 6.)
This cross-correlation, thus, is based on action potential data only,
and not on intracellularly recorded subthreshold activity, as was shown
in Laurent and Davidowitz (1994) . It is based here, therefore, on the
true axonal output of the PNs during an odor response, but it is
calculated using the data accumulated over 27 successive presentations
[whereas cross-correlations calculated with intracellular data in
Laurent and Davidowitz (1994) were based on single odor
presentations]. Time lag of the cross-correlation function is along
x-axis, and time along y-axis. The amplitude of
the cross-correlation, which here represents the number of times spikes
from each of the two PNs coincided in the same 10-msec-wide bin, is
color coded after the scale given at bottom right. A
red area means that 40, 5, and 15 spike pairs (accumulated
from the 27 odor presentations) were found to coincide in this time bin
in A, B, and C, respectively. Odor
delivered between 1 and 2 sec (light blue bar). Note that
strawberry led to a short but clear period of synchronized oscillations
in PNs 1 and 2, but that this period was shorter than the time during
which both neurons were active (Fig. 5A, poststimulus-time
histograms). Two neurons, therefore, are not necessarily synchronized
when they both fire in response to an odor. Note also that strawberry
led to no visible synchronized activity in neurons 2 and 3 (B), but that it did lead to coactivity of neurons 1 and 3 (although less tightly synchronized than that between neurons 1 and 2, A) 2 sec after the odor-pulse onset (C). A
neuron, therefore, can synchronize with several others, but at
different times during an odor response.
[View Larger Version of this Image (72K GIF file)]
Olfactory stimulation. The open ends of a set of 11 glass
capillaries or Teflon-coated steel tubes (0.5 mm inner diameter) were
placed 2.5-5.0 cm from the antenna, angled so that they converged onto
the antenna. The other end of each capillary was connected via
polyethylene tubing to a 5 ml odorant-containing syringe body. Each
chamber contained a 1 cm2 piece of filter paper
on which was deposited 20 µl of one of the following odors: cherry,
citrus, strawberry (Bell Flavor and Fragrances, Northbrook, IL);
isoamylacetate, citral, cineole, citralva (Aldrich, Milwaukee, WI);
spearmint, peppermint (Flavco); apple (Gilbertie's Herb Gardens);
lilac, lavender (Nuit Unlimited); eugenol, 2-heptanone (Sigma, St.
Louis, MO); crushed spinach and wheat leaves or no odorant (control).
The chambers were connected to an air pressure injection system via a
set of valves so that electronically controlled gentle pressure pulses
(insufficient to visibly bend the antenna) could be delivered to the
animal. For three of the odor lines, pressure pulses were regulated
individually. Pressure-actuated check valves were interposed between
the odorant chamber and the animal to prevent passive diffusion of
odorant. For the other odor lines, a common pressure line was connected
to each odor chamber in parallel. Odors were mixed by applying a
simultaneous pressure pulse to each of the selected odor lines. For
these experiments, pulses of 1 sec duration were delivered at a minimum
interval of 10 sec. Although odor delivery to the antenna always was
delayed relative to the command pulse to the air valves (because of the
physical nature of the stimulus), the delay between command and
delivery was constant from trial to trial. This could be demonstrated
simply by averaging successive local field potential (LFP) traces
evoked by the delivery of an odorant and locked on the stimulus pulse.
In all cases, this produced a clear average field potential signal (one
small oscillation cycle or two damped oscillation cycles) at a time
corresponding to the onset of the response of any one of the successive
trials. (Because the field potential is not a pure and constant
periodic signal, however, the average calculated from the oscillation
cycles occurring after the first or second one was flat.) The delay
between command and delivery also was shown to be constant with the use
of a particle velocity microphone.
Intracellular recordings (see Figs. 1, 2, 3, 4). Glass
microelectrodes (90-150 M ), pulled with a vertical puller (Kopf,
Tujunga, CA) and filled with 2-3 M K-acetate,
were used to record from the soma of PNs in the antennal lobes, using
established techniques (Laurent and Davidowitz, 1994 ). The antennal
lobe contains two types of neurons: local and projection neurons. The
antennal lobe local neurons in locusts produce no conventional action
potentials but rather TTX-resistant ``spikelets'' of variable
amplitudes, probably caused by voltage-dependent calcium currents
(Laurent and Davidowitz, 1994 ; Laurent and Naraghi, 1994 ). Neurons,
thus, could be identified easily as local or PNs from physiological
recordings. Some intracellular fills (using cobalt hexamine, see
Laurent and Naraghi, 1994 ) also were carried out for confirmation.
Fig. 1.
Range of temporal patterns of response to a single
odor across neurons. Temporal response patterns of nine different
antennal lobe PNs in response to the odor apple. The recordings (all
intracellular) were performed sequentially in the same animal over a
3.5 hr period. Traces have been aligned on the odor pulse. (Action
potentials clipped.) Note the distribution of response patterns, from
short and brisk (trace 1), to prolonged (2,
3), delayed firing (4, 5), multiphasic
(6-8), and purely inhibitory (9).
Note also the subthreshold membrane potential oscillations underlying
the periodicity of firing (most noticeable in traces
3-5). These response patterns were consistent for each
neuron over tens of responses (see Fig. 2). Not all neurons that
responded to this odor, therefore, were active at the same time.
Rather, the ensemble response was distributed in time.
[View Larger Version of this Image (21K GIF file)]
Fig. 2.
Consistency of response patterns and odor
specificity. A, Two PNs (PN 1, 2) were
impaled intracellularly and recorded at the same time as the mushroom
body LFP. A pulse of 2-heptanone (pear-like smell) was
presented once (t), and presented again 3 min later
(t + 3 min). The recordings obtained for these two responses
have been aligned on the odor pulse. They demonstrate the consistency
of the temporal response patterns over repeated presentations. Note
that during the period of the odor response when neither neuron fires,
the LFP nevertheless displays oscillations, indicating the existence of
other neurons (data not shown) that fired synchronously at that time.
B, Odor specificity of the response patterns. PNs usually
respond to multiple odors. The response patterns evoked by these
multiple odors, however, are generally different. Here, a PN is shown
that responded both to spearmint and to citrus odors, but with clearly
and consistently different temporal patterns. The traces have been
aligned on the odor pulses.
[View Larger Version of this Image (19K GIF file)]
Fig. 3.
Phase representation of PN activity during odor
responses (``key'' for Fig. 4). The activity of PNs was
monitored intracellularly simultaneous with the LFP in the ipsilateral
mushroom body (top). The period representing the odor
response (the period during which 20 Hz LFP oscillations occurred,
after a 1 sec odor pulse) was divided in 12 sequential windows or
epochs (shaded areas 1, 2 ... ). The phase
of all of the action potentials (relative to their respective LFP
oscillation cycle) occurring in each epoch then was measured and
plotted. The positive peak of the oscillation was defined as 0. The
phase of each spike so measured then was represented on a raster
(rows 1-23 here), between  and (middle). Row 1, for example, plots the phase of the eight
spikes that occurred in epoch 4 of the odor-evoked activity for odor
presentation 1. Each epoch contained several cycles of the LFP
oscillation. The odor pulse was presented to the animal 23 times at 10 sec intervals. Each row (1-23) thus represents
the phase of the spikes that occurred in the corresponding epoch (4 here) for each of the 23 presentations. Finally, all rows were summed
to create a phase-frequency plot (#, bottom row),
which represents the relative frequency of each phase bin (bin width:
2 /32). The peaky structure of this histogram indicates periodic
firing of this PN at this time of the response (epoch 4) and shows the
mean phase as well as its statistical variations. This phase plot is
taken from real data, plotted in full in Figure 4 (first
row).
[View Larger Version of this Image (38K GIF file)]
Fig. 4.
Phase versus time plots representing the
odor-evoked activity in four different PNs (PN
1-4), recorded intracellularly, in four
different animals. A, Each box has been constructed
according to the principles described in Figure 3 and, thus, represents
a different epoch of the ensemble response. The phase-locking behavior
of each PN, thus, can be followed as the population response unfolds
between epochs 1 and 12. PN 1, for example, fired little at the
beginning of the population response (epochs 1, 2), phase-locked to the
LFP oscillation during epochs 3-8, and continued firing, but in a
nonperiodic fashion (epochs 9-11), until the end of the ensemble
response (monitored by the LFP oscillation). Number of successive odor
presentations (rows): PN 1, 23; PN 2, 24; PN 3, 22; PN 4, 9. B, The phase-frequency histograms from all four PNs in
A have been juxtaposed to illustrate the following important
points. (1) When PNs phase lock to the field potential, they do so at
the same average phase (see epochs 5, 6 across PNs for example). (2)
Any pair of PNs will phase-lock and oscillate at different
times and for different durations over the ensemble
response. (3) The temporal structure of phase locking of individual
neurons is stable over repeated presentations of the odor. Indeed, PN 1 always phase-locked during epochs 7 and 8, and PN 2 during epoch 5. Therefore, not only do PNs display reliable temporal firing patterns in
response to odors, but the periods of time during which they phase-lock
with other PNs (or the field potential) are stable (for a given odor at
a given concentration).
[View Larger Version of this Image (77K GIF file)]
Extracellular recordings (see Figs. 5, 6, 7). Extracellular
recordings were performed using two to six glass microelectrodes pulled
with a horizontal puller (Sutter, Novato, CA). Electrodes for LFP
recordings had ~2 µm tips with a DC resistance of <1 M .
Electrodes for single-unit extracellular recording had 0.5-1.0 µm
tips with a DC resistance of 1-2 M . Both types of electrodes were
filled with locust physiological saline. LFP signals were amplified
differentially, band-pass filtered (1-500 Hz), ``notch filtered'' at
60 Hz (A-M Systems 1700), and stored to digital audio tape (DAT) (Micro
Data) (5.5 kHz cutoff). The DAT recorder included an analog
Nyquist-frequency low-pass filtering stage before analog-to-digital
conversion. Some single-unit extracellular signals were amplified and
stored in this manner, with band-pass filtering at 10 Hz to 5 kHz.
Other single-unit extracellular signals were amplified using an
Axoclamp 2A amplifier (Axon Instruments, Foster City, CA) before
storage to DAT. Each PN recording was obtained with an individual
extracellular electrode (up to five simultaneously), as was the LFP. No
spike sorting was carried out with any of the extracellular single-unit
data presented here.
Off-line analysis. The data analyzed and presented here were
obtained from animals previously exposed to the odors tested. In other
words, we do not consider here the first one to three responses of
neurons to unfamiliar odors. Data were redigitized from DAT at 5 kHz
(National Instruments; LabVIEW software and NBMIO16L hardware) after AC
amplification and low-pass filtering at 3 kHz (Brown Lee Precision 210A
amplifier). LFPs were band-pass filtered digitally (5-50 Hz) using
MATLAB (The MathWorks) on an Apple Macintosh Quadra 840AV. Single-unit
extracellular signals were converted to lists of spike times (rounded
to the nearest millisecond) using a threshold discriminator algorithm
and confirmed by visual inspection (LabVIEW). Peristimulus-time
histograms were constructed by averaging blocks of trials aligned on
the odor-pulse command and using bins of 150 msec.
Phase analysis (see Figs. 3, 4). PN spike times were
converted to a phase representation with respect to the odor-induced
LFP oscillations. Raw LFP traces were band-pass filtered (10-50 Hz)
using a ``noncausal'' digital five-pole Butterworth filter. Peaks,
troughs, and zero crossings of the LFP signal were used as phase
reference points as follows: peaks of the LFP were assigned a phase of
0 or 2 ; troughs, a phase of ; and zero crossings, a phase of
/2 or 3 /2. The time of a PN spike
(tPNspike) then was compared with the
nearest peak (tLFPpeak), trough, and/or
zero crossing in the simultaneously recorded LFP and assigned a phase
by linear interpolation. The phase was calculated by interpolating
either between peaks (whole cycle), between nearest peak and trough
(half cycle), or between nearest zero crossing and nearest peak or
trough (quarter cycle). For example, using the whole-cycle method, the
phase of a PN spike was given by:
Phase histograms obtained using these three methods did not
differ qualitatively from each other.
Sliding-window cross-correlation analysis (see Figs. 6, 7).
Cross-correlation analysis was performed using MATLAB. After
converting simultaneously recorded PN traces to rasters (see Fig. 5),
pairwise cross-correlation analysis was performed on the rasters on 300 msec windows beginning 1 sec before the onset of the odor pulse and
ending 3 sec after the end of the odor pulse (10 msec bins). The first
300 msec window then was slid forward by 100 msec, and a new
cross-correlation analysis was performed on the new (overlapping)
window. This procedure was carried out with the entire data set. The
cross-correlation calculated on each window, thus, could be represented
as a row in a matrix in which each column represents a specific
time lag of the cross-correlation and each row, a successive time
window around the odor pulse. If an odor was presented several times
[at 10 (or more) sec intervals], this analysis was performed for each
trial and the cross-correlation matrices calculated for all the trials
were aligned to the odor pulse and added together. The magnitude of the
cross-correlation then was represented using a cool-to-warm color
scale, normalized over the entire data set. Thus, a dark blue region
(see Fig. 7) indicates that there were no spikes in either PN at that
time and time lag. A red region indicates that over all the trials,
spikes coincided often at that time lag and time of the trial. The
actual number of coincident spikes encoded by red is indicated next to
the color scale bar (see Fig. 7). This number (e.g., 15) indicates the
number of spikes that each PN fired in the corresponding
bin. In an initial attempt to test the significance of periodic
patterns in the cross-correlograms, we divided the data for each
experiment in several subsets (e.g., from an experiment containing 26 trials: odd trials 1, 3 ... 25 in one subset and even trials 2, 4 ... 26 in another, or two complementary subsets of 13 randomly
selected trials in the entire set) and calculated the cross-correlation
on each subset independently, as described above. Any spurious
correlation between the two cells analyzed appeared as nonmatching
cross-correlation patterns in the different subsets. By contrast, any
pair of cell with consistent cross-correlation patterns from subset to
subset was considered to show a significant degree of stimulus-induced
correlation. In all cases in which this occurred, the
cross-correlograms indicated a periodicity identical to that of the
corresponding LFP. Cells displaying such cross-correlations were
considered synchronized (although it is clear that synchrony does not
require periodic firing). In a second series of tests, synthetic data
sets were produced to mimic the experimental data, except for
periodicity and correlation. Trains of ``spikes'' for which timing
was described by Poisson statistics and for which average frequency
matched precisely the experimental data were produced. These synthetic
data then were processed in a manner identical to the experimental
data, and periodic cross-correlation patterns were sought. Never did
any periodic pattern such as those described for the experimental data
emerge from these synthetic data sets. The existence of periodic
cross-correlations patterns in the data, thus, are not the result of
coincident increase in the firing rates of the neuron pairs. A rigorous
analysis of the statistics of the experimental data is being carried
out presently (M. Wehr and G. Laurent, unpublished observations) and
will be published separately.
Pairwise sliding-window cross-correlation analysis also was performed
between the rasters of each PN and the simultaneously recorded LFP in
the mushroom body (see Fig. 6). Raw LFP traces were band-pass filtered
(10-50 Hz) using a ``noncausal'' (no phase distortion) digital
five-pole Butterworth filter. The sliding-window cross-correlation
analysis was identical to that described above for pairs of PN rasters.
A dark blue region (see Fig. 6) indicates that, on average, there was,
at that time of the trial, a trough in the LFP at that time lag
relative to a PN spike. Similarly, a red region indicates that, on
average, there was, at that time of the trial, a peak in the LFP at
that time lag relative to a PN spike. A light blue region indicates
that, on average, the LFP was between peak and trough at that time lag
relative to a PN spike. A light blue band spanning all time lags at a
given time of the trial indicates that no PN spike occurred at that
time of the trial. Note that the magnitude of the cross-correlation
function assigned to a given color (e.g., red) is here a product of
both the LFP amplitude and the coherence between PN spikes and the LFP
oscillations. Note also that the magnitude of the cross-correlation
between a PN raster and the LFP signal can be positive (red)
or negative (dark blue), with zero correlation represented
by light blue (see Fig. 6). This is in contrast to the
cross-correlation calculated between two PN rasters (see Fig. 7), which
was never negative.
RESULTS
Temporal response patterns in projection neurons
The presentation of any odor to the antenna of an animal in
vivo typically led to a change in the firing behavior of many PNs
in the ipsilateral antennal lobe. The response of each neuron to a
stimulus, however, differed from that of other neurons by its duration,
its timing relative to the odor delivery, and its temporal structure.
Figure 1 shows intracellular recordings from nine
different PNs and their responses to an apple scent. All nine neurons
were recorded sequentially in the same animal over a 3.5 hr period.
Whereas one neuron responded with a short burst of high-frequency
action potentials (top trace), others showed a more
prolonged depolarization with subthreshold membrane potential
oscillations giving rise to sustained (trace 2), occasional,
or delayed (traces 3-5) spiking. Others yet responded to
the same odor by a period of inhibition (short to long: traces
6-9) preceding delayed spiking. This indicates that if
individual odors are represented by an ensemble of neurons, this
ensemble is dynamic and that all participating neurons do not
participate simultaneously.
The temporal structure of the response of individual PNs to a given
odor was consistent and reliable. Figure
2A shows the responses of two neurons
impaled simultaneously and the LFP in the mushroom body evoked by 1 sec
pulses of 2-heptanone. Recordings from each neuron and the field
potential were obtained at 3 min intervals and aligned on the odor
pulse. Both times, the response of the first projection neuron
consisted of a short initial burst of action potentials (riding on a
periodic subthreshold pattern synchronized with the field potential),
an ~1 sec period of silence, and a final period of inhibition.
Similarly, the response of the second PN consisted, on both occasions,
of two bursts of action potentials separated by a period of silence.
The duration of the population response in both cases could be
estimated from the envelope of the field potential. Note that both
neurons were silent during the central part of the population response,
although the LFP showed oscillations, indicating synchronized activity
of other neurons at that time. The consistency of responses over
shorter time intervals also can be seen in another neuron in Figure
2B.
Whereas the overall temporal structure of the response of individual
neurons was consistent from trial to trial (in identical stimulus
conditions), the very fine detail of the response was not. The first PN
(Fig. 2A), for example, responded with an action potential
at cycles 2, 3, and 5 of the subthreshold oscillatory pattern during
the first presentation, but at cycles 1, 3, and 4 of the next
presentation, 3 min later. The same variability can be observed between
the second bursts of neuron 2. Similarly, knowing the exact sequence of
action potentials in one neuron did not allow one to predict what the
exact sequence of action potentials in the second neuron would be; the
responses of neuron 2 at the onset of the odor pulse were remarkably
similar in both cases, whereas they were not for neuron 1. Two neurons,
therefore, can be ``synchronized'' transiently over episodes of 50 to
several hundreds of msec, but the occurrence of spiking events during
these episodes remained probabilistic. (The fine structure of the
synchronization will be further explored below.)
The temporal activity patterns observed in a given neuron in response
to an odor stimulus were odor dependent. Individual neurons usually
responded to 0 to 4 of the 11 test odors that could be presented to an
animal. An example is given in Figure 2B of a neuron that
responded to spearmint and citrus fragrances. As can be seen, the
response patterns were stable over repeated presentations of each odor,
but different for the two odors. Whereas the neuron's response to
spearmint consisted of a short burst of activity, a period of
inhibition, and a final, longer burst of action potentials, the
response to citrus comprised three blocks of spikes separated by two
silent epochs. The central burst of spikes evoked by citrus occurred
exactly at the time when the neuron would have been inhibited during
its response to spearmint.
Transient odor-specific synchronization between PNs
Knowing that individual neurons show odor-specific firing
patterns, we examined next the fine structure and timing of the action
potentials evoked during each period of activity. We used the field
potential recorded in the mushroom body as a time reference and studied
the phase structure of each odor-evoked spike train, i.e., the
variations in phase of each action potential (relative to the field
potential) over the duration of the response. Consider the hypothetical
neuron (PN) in Figure 3. When an odor is
presented, the field potential (LFP) shows 20 Hz
oscillations (indicating synchronization of a population of neurons)
(Laurent and Davidowitz, 1994 ), and the neuron displays a pattern of
action potentials whose structure obeys the macroscopic features
described above. We divided the length of the odor-evoked oscillatory
response (~1-3 sec of field potential oscillations for a 1 sec odor
pulse) into a series of 12 consecutive windows (or epochs) of equal
duration (shaded boxes 1-4). We then considered
all the spikes present in each window and calculated their phase
relative to their corresponding field potential oscillation cycle.
Because the field potential is not a perfect sine wave, we calculated
the phase relative to the entire period or to the half period or
quarter period and extrapolated linearly (see Materials and Methods).
The different methods yielded essentially the same results, and the
phases plotted here are calculated relative to the corresponding
quarter cycle of the oscillation. Each action potential, thus, was
represented by its phase (0 was defined arbitrarily as the peak of the
LFP oscillation) in raster plots where each row represented a different
trial (Fig. 3, rows 1-23). Each trial was
separated from the next by 10 sec. Finally, the events in all the
rasters (23 here) were used to generate a phase-frequency histogram
(Fig. 3, bottom). In this example, the structure of the
histogram indicates that the spikes in this epoch were phase-locked to
the field potential.
Using this representation, we could study not only the times during
which a given neuron was active in response to an odor, but those
during which it was active and synchronized to the
oscillating population (and, thus, to other neurons). Figure
4A shows phase plots constructed as described
above for four different neurons recorded in four different animals.
Each row represents one of the four neurons, and each column represents
1 of the 12 consecutive windows or epochs into which the population
response was divided. The following features can be extracted:
Spiking activity during the odor response did not necessarily
imply synchronization. PN 1, for example, was clearly synchronized to
the field between epochs 3 and 8, but rather suddenly desynchronized
between epochs 8 and 10, although it continued firing. Similarly, PN 2 showed very clear synchronization to the field potential only in epochs
2 and 5, although it was active at other times during the odor
response.
The time at which individual neurons synchronized to the field
potential was consistent over repeated odor presentations. For example,
synchronization always occurred for PN 1 during epoch 7 and for PN 2 during epoch 5.
From features 1 and 2, it follows that cross-correlation of
any two spike trains should only reveal significant periodic
synchronization during very specific epochs of the population response.
In Figure 4B, the phase-frequency histograms of the four
neurons in A have been juxtaposed. One can see, for example,
that a cross-correlation of any pair taken from the four neurons should
yield a significant periodic function if calculated in epoch 6, but
that none would if it were calculated in epochs 1 and 8. This
prediction was demonstrated directly in the following set of
experiments (Figs. 5, 6).
We recorded the extracellular activity of up to five antennal PNs
simultaneously, as well as the field potential in the mushroom body,
and presented up to 11 odors to the animal. An example of the response
patterns evoked in three PNs by four different odors is shown in Figure
5. The poststimulus-time histograms reveal that each odor evoked
different response patterns in the three neurons, as shown above for
other neurons. Strawberry, for example, evoked an initial increase in
the firing rate of PNs 1 and 2, and a decrease in that of PN 3, whereas
eugenol initially inhibited all three neurons. The representation used
here, however, does not indicate whether any pair of neurons actually
oscillated in synchrony during any part of the responses evoked by each
odor. We, therefore, calculated the cross-correlation between each PN
and the field potential for each odor response. The cross-correlation
functions so calculated for the responses evoked by strawberry are seen
in Figure 6A-C (see Materials and
Methods for details on sliding cross-correlation technique). In these
diagrams, the time lag of the cross-correlation function is on the
x-axis and time is on the y-axis. The odor was
presented between 1 and 2 sec. These plots reveal that each of the
three simultaneously recorded neurons phase-locked to the oscillatory
field potential at different times around the odor pulse
(vertical stripes in cross-correlation displays). This
indicates that individual PNs necessarily synchronize to others only
for limited durations during their responses to odors. To demonstrate
this directly, we calculated the cross-correlation (pairwise) between
the spike trains of the three neurons and repeated this analysis for
all odors tested. Figure 7 represents these pairwise
cross-correlations calculated from the responses to strawberry. This
representation reveals immediately that PNs 1 and 2 synchronized
briefly and oscillated together for ~250 msec about half way through
the odor pulse (Fig. 7A). This period of synchronization was
considerably briefer than the period of coactivity revealed by the
poststimulus-time histograms (>1 sec) (Fig. 5A).
Cross-correlation between spikes of PNs 2 and 3 revealed no odor-evoked
synchronization, whereas cross-correlation between neurons 1 and 3 revealed partial synchronization and coupled periodic firing about 2 sec after the onset of the odor pulse. None of the 11 other odors
tested with this animal and these neurons produced any significant
oscillatory synchronization between any of the three pairs of neurons
(PNs 1-2, 2-3, 1-3). This result demonstrates directly that an
individual neuron can synchronize with different neurons at different
times during an odor-evoked response, and that each temporal pattern of
oscillatory synchronization is odor specific.
DISCUSSION
We demonstrated that odors evoke odor-specific temporal response
patterns in PNs in the antennal lobe of the locust, the functional
analog of the olfactory bulb of the vertebrate olfactory system.
Different neurons responded with different temporal patterns to the
same odor, and individual neurons responded with different temporal
patterns to distinct odors. (We do not consider in this paper the
influence of the concentration of a single odor on the temporal
patterns evoked in a single neuron.) In addition, the participation of
individual neurons in a synchronized oscillatory ensemble was usually
transient, but occurred during one or several precise epochs of an odor
response. Repeated presentations of the same odor in the same
conditions seconds or minutes later led to the same temporal patterns,
and each neuron oscillated in phase with the LFP in the mushroom body
during the same epoch of each response. The existence of action
potentials in these epochs of synchronization, however, remained
probabilistic; in other words, the knowledge of the exact
sequence of spikes produced by a neuron in one trial did not allow one
to predict the sequence of spikes in the same neuron on the next trial.
Finally, our data are not consistent with a phase encoding of sensory
stimuli, i.e., a representation in which the delays between the spikes
of two neurons, or the phase delays between individual neurons and an
average potential (such as the field potential oscillation), vary in a
stimulus-specific manner, as suggested in theoretical models of sensory
processing (von der Malsburg and Schneider, 1986; Hopfield, 1995 ). In
other words, a neuron was either phase-locked to the field potential
during an epoch or it was not. If it was phase-locked, it always fired
around a particular phase (Laurent and Davidowitz, 1994 ). Repeatable
and stimulus-specific phase sequences such as those observed in
hippocampal place units of rats (O'Keefe and Recce, 1993 ) were not
seen.
Our results are summarized in Figure 8. Here, the PNs
are symbolized by an array of 4 × 4 units, which can be in three
``states'': silent (which can mean depolarized, but below threshold)
or inhibited (white), spiking but not phase-locked to the
field potential (blue), spiking and locked to the field
potential (orange). Before an odor is presented, a few
neurons fire randomly and independently, and the field potential in the
mushroom body shows no oscillations (Laurent and Davidowitz, 1994 ;
Laurent and Naraghi, 1994 ). At the onset of an odor pulse
(ton), a group of neurons is activated
(blue and orange), some of which only oscillate
at 20 Hz and phase-lock to one another, thus giving rise to the field
potential oscillation that can be recorded in their target area, the
mushroom body. Several 100 msec later (arbitrary time step), however,
the ensemble of active neurons differs from what it was earlier. Some
neurons that were inactive initially become active, whereas some that
were oscillating desynchronize, and yet others only now phase-lock to
the oscillating ensemble. The field potential recorded from the
mushroom body, although indistinguishable from what it was earlier in
its frequency characteristics, therefore is now caused by a new
ensemble of synchronized neurons, which overlaps with the starting
ensemble. This progressive transformation of the oscillating ensemble
occurs in an odor-specific manner, and the number of neurons
participating in the oscillation and/or the tightness of their phase
locking can vary over the duration of the population response. This
leads to variations in the envelope of the field potential, as observed
experimentally (Laurent and Naraghi, 1994 ). When the odor stimulus
ends, the ensemble progressively breaks up and the field potential
oscillations disappear. We conclude that odor stimuli are represented
in the antennal lobes as dynamical ensembles of synchronized and
oscillating neurons. These ensembles often make up ~10-20% of the
total complement of neurons (Laurent and Davidowitz, 1994 ), although
their size probably varies with odor concentration, as suggested in
other animals by imaging experiments (Cinelli et al., 1995 ). We,
therefore, propose that the macroscopic 20 Hz oscillations are caused
by a stimulus-specific message that is distributed in space (the
odor-specific sets of synchronized neurons) and in time (the times at
which these neurons synchronize and desynchronize, in an odor-specific
fashion).
Fig. 8.
Schematic representation of our hypothesis of odor
coding in this olfactory system. AL, Antennal lobe;
LFP, local field potential; MB, mushroom body;
PN, projection neuron. Color code: each small
sphere symbolizes a PN that can be in one of three states,
silent or inhibited (white), active (spiking) but not
synchronized with the LFP (blue), active and phase-locked
with the LFP (orange). The five successive
squares represent the successive states of the system around
and during an odor pulse (ton to
toff). The LFP oscillations in the mushroom
body, therefore, are caused by successive and odor-specific ensembles
of synchronized neurons. See Discussion for details.
[View Larger Version of this Image (59K GIF file)]
Practical consequences for the analysis of distributed
neuronal representations
The existence of oscillations in an LFP usually is interpreted as
implying correlated and phase-locked firing of ensembles of neurons
(generally those that terminate and synapse into the area from which
the field potential is recorded) (Singer and Gray, 1995 ). Nothing
requires, however, that the oscillating neurons be synchronized over
the entire duration of the field potential oscillations (i.e., the
population activity). The methods usually employed to study
interneuronal synchronization, however, often assume implicitly that
this is the case. For example, cross-correlation analysis, which is the
method of choice to assess whether two neurons are phase-locked and
oscillating, often is carried out and averaged over relatively long
stretches of data. Hence, the existence of transient but
reliable synchronization between two neurons could become
masked in the time-averaged cross-correlation function. Our present
results show that two neurons in an oscillating ensemble sometimes
phase-lock only for a very brief period (e.g., only a few oscillation
cycles), requiring the use of fine-analysis techniques such as
dynamic cross-correlation (Laurent and Davidowitz, 1994 ;
Vaadia et al., 1995 ; this paper). Therefore, one should be careful when
concluding that phase locking and oscillations do not exist between
neurons in a large and distributed ensemble, especially if the stimulus
representation (i.e., the response of a neuronal ensemble) is spread
over a significant time period, as often happens in sensory
systems.
Are such representations likely to be common to other
olfactory systems?
The distributed representation described in the olfactory system
of this animal consists of the following three concurrent
stimulus-evoked phenomena: (1) temporally structured neuronal responses
(odor- and neuron-specific temporal patterns); (2) oscillatory mass
activity, for which the frequency characteristics are not odor
specific; and (3) transient and dynamic synchronization of neuronal
groups in an odor-specific manner. Are these phenomena observed
elsewhere, and if so, are they also concurrent?
Temporally structured neuronal responses
All olfactory bulb responses examined to date provide evidence for
odor-evoked temporal patterns consisting at least of sequential
excitatory and ``suppressive'' phases of neuronal activity. Such
patterns have been observed in amphibians (salamander: Kauer, 1974 ;
Kauer and Shepherd, 1977 ), in bony fish (goldfish: Meredith and
Moulton, 1978 ; Meredith, 1981 ), and in mammals (rat, rabbit, and
hamster: Chaput and Holley, 1980 ; Meredith, 1986 , 1992 ). Although
suggestions were made that ``suppression'' patterns arise in certain
olfactory bulb neurons of the salamander when odor concentrations are
too high (``concentration tuning hypothesis'') (Kauer, 1974 ), more
recent data from mammals indicate that suppression patterns are not
more frequent at higher odor concentration and that certain neurons
even go from an inhibitory to an excitatory response pattern as odor
concentration is raised (Meredith, 1986 ). In insects, our results
provide evidence that general odors evoke odor-specific response
patterns in the antennal lobe PNs. Other studies showed that pheromones
evoke temporally structured responses in the cockroach
Periplaneta and the moth Manduca (Burrows et al.,
1982 ; Kanzaki et al., 1989 ). It appears, therefore, that such temporal
features of responses to odors are common to neurons in the first
olfactory relay of many animal phyla and classes.
Oscillatory mass activity
``Induced waves,'' or oscillations in the EEG caused by
olfactory stimulation, have been demonstrated in the olfactory bulb of
amphibians (frog: Libet and Gerard, 1939 ), fish (Salmonidae:
Thommesen, 1978 ; carp: Satou, 1990 ), and mammals (hedgehog: Adrian,
1942 ; rat, rabbit, cat: Freeman, 1975 , 1992 ; Bressler and Freeman,
1980 ), including humans (Hughes et al., 1969 ). More recently,
oscillations also were discovered in the olfactory systems of a
terrestrial mollusk (Limax maximus: Gelperin and Tank, 1990 ;
Delaney et al., 1994 ; Kleinfeld et al., 1994 ) and an insect (locust:
Laurent and Davidowitz, 1994 ; Laurent and Naraghi, 1994 ). These
observations now have been repeated in other insect species, such as
cockroaches and honeybees (M. Stopfer and G. Laurent, unpublished
observations). In all cases but that of Limax, oscillatory
activity appears to be triggered (or dramatically enhanced) by odor
stimulation. In Limax, oscillations are present ``at
rest,'' i.e., even in the absence of odors, but odor stimuli cause a
collapse of the phase gradient that exists across the procerebral lobe
(Delaney et al., 1994 ). In all cases, the oscillations appear to be the
result of local interactions between inhibitory local neurons and
excitatory PNs (within the bulb of vertebrates, the procerebral lobe of
Limax, or the antennal lobe of insects) and to reflect the
coherent activity of large numbers these neurons.
Transient synchronization of overlapping neuronal groups
The existence both of oscillatory mass activity and of temporal
activity patterns in individual neurons in the first olfactory relay of
amphibians, fish, mammals, mollusks, and insects suggests that the
distributed activity patterns described here for the locust also may
exist in many other animals. Our preparation, however, appears to be
the only one so far in which all three phenomena have been observed
together and seen to ``interlock'' in a coherent fashion, showing
transient synchronization of neuronal sets and progressive
transformation of a coherently active neuronal population. The separate
pieces of evidence from vertebrates and mollusks seem to be compatible
with our hypothesis of stimulus representation and coding in the
olfactory system, but it remains to be seen whether they all can be
concurrently observed there also. Optical imaging in the salamander
(Cinelli et al., 1992, 1995), for example, certainly gives support to
the idea that odor representation in the olfactory bulb is distributed
and combinatorial.
FOOTNOTES
Received Dec. 7, 1995; revised Feb. 23, 1996; accepted April 3, 1996.
This work was supported by an Office of Naval Research graduate student
fellowship to M.W., and a National Science Foundation (NSF) grant and
an NSF-Presidential Faculty Fellow award to G.L.
Correspondence should be addressed to Gilles Laurent, Caltech, Biology
Division, 139-74, Pasadena, CA 91125.
Dr. Davidowitz's present address: NEC Research Institute, Princeton,
NJ 07780.
REFERENCES
-
Adrian ED
(1942)
Olfactory reactions in the brain of the
hedgehog.
J Physiol (Lond)
100:459-473.
-
Axel R
(1995)
The molecular logic of smell.
Sci Am
273:154-159 .
[ISI][Medline]
-
Bressler SL,
Freeman WJ
(1980)
Frequency analysis of
olfactory system EEG in cat, rabbit and rat.
Electroencephalogr Clin Neurophysiol
50:19-24 .
[ISI][Medline]
-
Buck L,
Axel R
(1991)
A novel multigene family may encode
odorant receptors: a molecular basis for odor recognition.
Cell
65:175-187 .
[ISI][Medline]
-
Burrows M,
Boeckh J,
Esslen J
(1982)
Physiological and
morphological properties of interneurons in the deutocerebrum of male
cockroaches which respond to female pheromones.
J Comp Physiol [A]
145:447-457.
-
Chaput M,
Holley A
(1980)
Single unit responses of olfactory
bulb neurons to odor presentation in awake rabbits.
J Physiol (Paris)
76:551-558 .
[Medline]
-
Cinelli AR,
Kauer JS
(1992)
Voltage-sensitive dyes and
functional activity in the olfactory pathway.
Annu Rev Neurosci
15:321-351 .
[ISI][Medline]
-
Cinelli AR,
Hamilton KA,
Kauer JS
(1995)
Salamander olfactory
bulb neuronal activity observed by video-rate voltage-sensitive dye
imaging. 3. Spatial and temporal properties of responses evoked by
odorant stimulation.
J Neurophysiol
73:2053-2071 .
[Abstract/Free Full Text]
-
Davis RL
(1993)
Mushroom bodies and Drosophila
learning.
Neuron
11:1-14 .
[ISI][Medline]
-
Delaney KR,
Gelperin A,
Fee MS,
Flores JA,
Gervais R,
Tank DW,
Kleinfeld D
(1994)
Waves and stimulus modulated dynamics in
an oscillating olfactory network.
Proc Natl Acad Sci USA
91:669-674 .
[Abstract/Free Full Text]
-
Freeman WJ
(1975)
Mass action in the nervous system.
.
-
Freeman WJ
(1978)
Spatial properties of an EEG event in the
olfactory bulb and cortex.
Electroencephalogr Clin Neurophysiol
44:586-605 .
[ISI][Medline]
-
Freeman WJ
(1992)
Nonlinear dynamics in olfactory information
processing.
In: Olfaction, a model system for computational neuroscience
(Davis, JL,
Eichenbaum, H,
eds)
, p. 225. Cambridge: MIT.
-
Gelperin A,
Tank DW
(1990)
Odor-modulated collective network
oscillations of olfactory interneurons in a terrestrial mollusc.
Nature
345:437-440 .
[Medline]
-
Gray CM
(1994)
Synchronous oscillations in neuronal systems:
mechanisms and functions.
J Comput Neurosci
1:11-38.
[Medline]
-
Gray CM,
Skinner JE
(1988)
Centrifugal regulation of neuronal
activity in the olfactory bulb of the waking rabbit as revealed by
reversible cryogenic blockade.
Exp Brain Res
69:378-386 .
[ISI][Medline]
-
Hammer M,
Menzel R
(1995)
Learning and memory in the
honeybee.
J Neurosci
15:1617-1630 .
[Abstract]
-
Hildebrand JG
(1995)
Analysis of chemical signals by nervous
systems.
Proc Natl Acad Sci USA
92:67-74 .
[Abstract/Free Full Text]
-
Hopfield JJ
(1995)
Pattern recognition computation using
action potential timing for stimulus representation.
Nature
376:33-36 .
[Medline]
-
Hughes JR,
Hendrix DE,
Wetzel NS,
Johnson JW
(1969)
Correlations between electrophysiological activity
from the human olfactory bulb and the subjective response to
odoriferous stimuli.
In: Olfaction and taste,
(Pfaffman, C,
eds)
, Vol III. New York: Rockefeller.
-
Kanzaki R,
Arbas EA,
Strausfeld NJ,
Hildebrand JG
(1989)
Physiology and morphology of projection neurons in
the antennal lobes of the male Manduca sexta.
J Comp Physiol [A]
165:427-453 .
[Medline]
-
Kauer JS
(1974)
Response patterns of amphibian olfactory bulb
neurones to odor stimulation.
J Physiol (Lond)
243:695-715 .
[Abstract/Free Full Text]
-
Kauer JS
(1991)
Contributions of topography and parallel
processing to odor coding in the vertebrate olfactory pathway.
Trends Neurosci
14:79-85 .
[ISI][Medline]
-
Kauer JS,
Shepherd GM
(1977)
Analysis of the onset phase of
olfactory bulb unit responses to odour pulses in the salamander.
J Physiol (Lond)
272:495-516 .
[Abstract/Free Full Text]
-
Kleinfeld D,
Delaney KR,
Fee MS,
Flores JA,
Tank DW,
Gelperin A
(1994)
Dynamics of propagating waves in the olfactory
network of a terrestrial mollusc: an electrical and optical study.
J Neurophysiol
72:1402-1419 .
[Abstract/Free Full Text]
-
Laurent G,
Davidowitz H
(1994)
Encoding of olfactory
information with oscillating neural assemblies.
Science
265:1872-1875.
[Abstract/Free Full Text]
-
Laurent G,
Naraghi M
(1994)
Odorant-induced oscillations in
the mushroom bodies of the locust.
J Neurosci
14:2993-3004 .
[Abstract]
-
Libet B,
Gerard RW
(1939)
Control of the potential rhythm of
the isolated frog brain.
J Neurophysiol
2:153-169.
[Free Full Text]
-
Meredith M
(1981)
The analysis of response similarity in
single neurons of the goldfish olfactory bulb using amino acids as odor
stimuli.
Chem Senses
6:277-293.
[Abstract/Free Full Text]
-
Meredith M
(1986)
Patterned response to odor in mammalian
olfactory bulb: the influence of intensity.
J Neurophysiol
56:572-597 .
[Abstract/Free Full Text]
-
Meredith M
(1992)
Neural circuit computation: complex
patterns in the olfactory bulb.
Brain Res Bull
29:111-117 .
[ISI][Medline]
-
Meredith M,
Moulton DG
(1978)
Patterned response to odor in
single neurons of goldfish olfactory bulb: influence of odor quality
and other stimulus parameters.
J Gen Physiol
71:615-643 .
[Abstract/Free Full Text]
-
O'Keefe J,
Recce
(1993)
Phase relationship between
hippocampal place units and the EEG theta-rhythm.
Hippocampus
3:317-330.
[ISI][Medline]
-
Satou M
(1990)
Synaptic organization, local neuronal
circuitry, and functional segregation of the teleost olfactory bulb.
Prog Neurobiol
34:115-142 .
[ISI][Medline]
-
Singer W,
Gray CM
(1995)
Visual feature integration and the
temporal correlation hypothesis.
Annu Rev Neurosci
18:555-586 .
[ISI][Medline]
-
Sullivan SL,
Bohm S,
Ressler KJ,
Horowitz LF,
Buck LB
(1995)
Target-independent pattern specification in the
olfactory epithelium.
Neuron
15:779-789 .
[ISI][Medline]
-
Thommesen G
(1978)
The spatial distribution of odor-induced
potentials in the olfactory bulb of char and trout (salmonidae).
Acta Physiol Scand
102:414-426.
-
Vaadia E,
Haalman I,
Abeles M,
Bergman H,
Prut Y,
Slovin H,
Aertsen A
(1995)
Dynamics of neuronal interactions in monkey cortex
in relation to behavioral events.
Nature
373:515-518 .
[Medline]
-
Vassar R,
Chao SK,
Sitcheran R,
Nuñez JM,
Vosshall LB,
Axel R
(1994)
Topographic organization of sensory projections to
the olfactory bulb.
Cell
79:981-991 .
[ISI][Medline]
-
Von der Malsburg C,
Schneider W
(1986)
A neural
cocktail-party processor.
Biol Cybern
54:29-40 .
[ISI][Medline]
This article has been cited by other articles:

|
 |

|
 |
 
R. A. Fuentes, M. I. Aguilar, M. L. Aylwin, and P. E. Maldonado
Neuronal Activity of Mitral-Tufted Cells in Awake Rats During Passive and Active Odorant Stimulation
J Neurophysiol,
July 1, 2008;
100(1):
422 - 430.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
K. C. Daly, L. A. Carrell, and E. Mwilaria
Characterizing Psychophysical Measures of Discrimination Thresholds and the Effects of Concentration on Discrimination Learning in the Moth Manduca sexta
Chem Senses,
January 1, 2008;
33(1):
95 - 106.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
A. Hayar and M. Ennis
Endogenous GABA and Glutamate Finely Tune the Bursting of Olfactory Bulb External Tufted Cells
J Neurophysiol,
August 1, 2007;
98(2):
1052 - 1056.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
D. De Saint Jan and G. L. Westbrook
Disynaptic Amplification of Metabotropic Glutamate Receptor 1 Responses in the Olfactory Bulb
J. Neurosci.,
January 3, 2007;
27(1):
132 - 140.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
V. Kapoor and N. N. Urban
Glomerulus-specific, long-latency activity in the olfactory bulb granule cell network.
J. Neurosci.,
November 8, 2006;
26(45):
11709 - 11719.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
D. M. Devilbiss, M. E. Page, and B. D. Waterhouse
Locus Ceruleus Regulates Sensory Encoding by Neurons and Networks in Waking Animals
J. Neurosci.,
September 27, 2006;
26(39):
9860 - 9872.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
P. Rabbah and F. Nadim
Synaptic Dynamics Do Not Determine Proper Phase of Activity in a Central Pattern Generator
J. Neurosci.,
December 7, 2005;
25(49):
11269 - 11278.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
P. Szyszka, M. Ditzen, A. Galkin, C. G. Galizia, and R. Menzel
Sparsening and Temporal Sharpening of Olfactory Representations in the Honeybee Mushroom Bodies
J Neurophysiol,
November 1, 2005;
94(5):
3303 - 3313.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
T. A. Cleland and C. Linster
Computation in the Olfactory System
Chem Senses,
November 1, 2005;
30(9):
801 - 813.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
D. V. Buonomano
A Learning Rule for the Emergence of Stable Dynamics and Timing in Recurrent Networks
J Neurophysiol,
October 1, 2005;
94(4):
2275 - 2283.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
R. Balu, P. Larimer, and B. W. Strowbridge
Phasic Stimuli Evoke Precisely Timed Spikes in Intermittently Discharging Mitral Cells
J Neurophysiol,
August 1, 2004;
92(2):
743 - 753.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
A. Hayar, S. Karnup, M. Ennis, and M. T. Shipley
External Tufted Cells: A Major Excitatory Element That Coordinates Glomerular Activity
J. Neurosci.,
July 28, 2004;
24(30):
6676 - 6685.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
J. Perez-Orive, M. Bazhenov, and G. Laurent
Intrinsic and Circuit Properties Favor Coincidence Detection for Decoding Oscillatory Input
J. Neurosci.,
June 30, 2004;
24(26):
6037 - 6047.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
R. I. Wilson, G. C. Turner, and G. Laurent
Transformation of Olfactory Representations in the Drosophila Antennal Lobe
Science,
January 16, 2004;
303(5656):
366 - 370.
[Abstract]
[Full Text]
[PDF]
|
 |
|

|
 |

|
 |
 
T. Lu and X. Wang
Information Content of Auditory Cortical Responses to Time-Varying Acoustic Stimuli
J Neurophysiol,
January 1, 2004;
91(1):
301 - 313.
[Abstract]
[Full Text]
|
 |
|
|