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The Journal of Neuroscience, October 1, 2000, 20(19):7478-7488
Cortical Feedback Controls the Frequency and Synchrony of
Oscillations in the Visual Thalamus
Thierry
Bal1,
Damien
Debay1, and
Alain
Destexhe1, 2
1 Unité de Neurosciences Intégratives et
Computationnelles, Centre National de la Recherche Scientifique,
Unité Propre de Recherche 2191, Institut de Neurobiologie
A. Fessard, 91 198, Gif-sur-Yvette Cedex, France, and
2 Department of Physiology, Laval University, Québec
G1K 7P4, Canada
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ABSTRACT |
Thalamic circuits have an intrinsic capacity to generate
state-dependent oscillations of different frequency and degrees of synchrony, but little is known of how synchronized oscillation is
controlled in the intact brain or what function it may serve. The
influence of cortical feedback was examined using slice preparations of
the visual thalamus and computational models. Cortical feedback was
mimicked by stimulating corticothalamic axons, triggered by the
activity of relay neurons. This artificially coupled network had the
capacity to self-organize and to generate qualitatively different
rhythmical activities according to the strength of corticothalamic feedback stimuli. Weak feedback (one to three shocks at 100-150 Hz)
phase-locked the spontaneous spindle oscillations (6-10 Hz) in
geniculate and perigeniculate nuclei. However, strong feedback (four to
eight shocks at 100-150 Hz) led to a more synchronized oscillation,
slower in frequency (2-4 Hz) and dependent on GABAB receptors. This increase in synchrony was essentially attributable to a
redistribution of the timing of action potential generation in lateral
geniculate nucleus cells, resulting in an increased output of
relay cells toward the cortex. Corticothalamic feedback is thus capable
of inducing highly synchronous slow oscillations in physiologically
intact thalamic circuits. This modulation may have implications for a
better understanding of the descending control of thalamic nuclei by
the cortex, and the genesis of pathological rhythmical activity, such
as absence seizures.
Key words:
corticothalamic; spike and wave; absence seizure; GABAB; spindle waves; thalamus; thalamic reticular
nucleus; closed loop system
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INTRODUCTION |
Thalamic circuits can display
different types of oscillation characterized by their frequencies and
levels of synchrony. The most common rhythmical activity seen in intact
thalamic circuits is the 7-14 Hz spindle rhythm, which consists of
periodically recurring waxing and waning oscillations (Andersen and
Andersson, 1968 ; Steriade and Deschênes, 1984 ; von Krosigk et
al., 1993 ; Contreras et al., 1996 ). In slice preparations from the
ferret, 6-10 Hz spindle oscillation can be self-generated provided
that the circuitry linking the dorsal lateral geniculate nucleus
(LGNd) and the perigeniculate nucleus (PGN) is conserved intact.
Blockade of GABAA receptors by application of
bicuculline transforms the spontaneous spindling pattern to a slower
and more synchronized oscillation at 2-4 Hz (von Krosigk et al., 1993 ;
Bal et al., 1995a ,b ). This slower rhythm is strikingly similar to the
typical 3 Hz frequency of absence seizures in humans, in which the
thalamus is thought to be a key player (Gloor and Fariello, 1988 ).
The genesis of these autonomous rhythms is now well understood in terms
of the thalamic recurrent circuits and intrinsic cellular properties
involved (Steriade et al., 1993 ). However, our understanding of
thalamic rhythmic generation remains limited concerning its control by
external sources, such as the feedforward retinal projection or the
feedback projection from cortex. We know that cortical feedback
provides an extremely dense projection to the thalamus (Guillery, 1969 ;
Liu et al., 1995 ; Erisir et al., 1997a ,b ; Liu and Jones, 1999 ), which
may serve to control faster rhythms of thalamic oscillation, in the
gamma frequency range (20-60 Hz) reported in vivo during
sensory processing (Ghose and Freeman, 1992 ; Sillito et al., 1994 ;
Neuenschwander and Singer, 1996 ). Corticothalamic feedback is also
essential in coordinating widespread, coherent, sleep-related
synchronized oscillation of different thalamic nuclei (Contreras et
al., 1996 ). More recently, computational models have predicted that
corticothalamic feedback could control the transitions between
different ranges of thalamic oscillation, defined by their frequency
and synchrony (Destexhe, 1998 ).
Here we test this hypothesis using a new ferret slice preparation
preserving the optic tract and the optic radiation bundle in which
corticofugal fibers can be stimulated, while maintaining intact the
endogenous genesis of spindles (see Fig. 2A). The
sequence of synaptic and voltage-gated cellular events following
activation of cortical feedback was studied with intracellular
current-clamp recordings of perigeniculate and LGN relay neurons.
Computational models and multiple extracellular recordings were used to
assess the level of local recruitment and synchronized activity in the network. From the experimental results and computational models we
propose principles of functional network organization able to explain
the cortical control of thalamic oscillations.
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MATERIALS AND METHODS |
Slice preparation. Adult ferrets, 3- to 15-months-old
(n = 24) (Marshall Europe, Lyon, France;
Dostes, St. Creac, France), were anesthetized with sodium pentobarbital
(45 mg/kg). LGNd slices (350 µm) were prepared in a solution (see
below) in which NaCl was replaced with sucrose while maintaining an
osmolarity of 307 mOsm (adapted from Aghajanian and Rasmussen, 1989 ).
After preparation, slices were placed in an interface-style recording
chamber (Fine Science Tools, Heidelberg, Germany). The bathing medium
contained (in mM): NaCl, 124; KCl, 2.5;
MgSO4, 1.2;
NaH2PO4, 1.25;
CaCl2, 2; NaHCO3, 26;
dextrose, 10, and was aerated with 95% O2 and
5% CO2 to a final pH of 7.4. Bath temperature
was maintained at 34.5-35.5°C. LGNd slices were cut in a plane
parallel to the most proximal extent of the optic tract (see Fig.
2A). This new procedure preserved a portion of the
optic radiation containing corticothalamic axons and their synaptic
connections to thalamic cells, as well as several millimeters of the
optic tract. Extracellular multiunit recordings from LGN laminae
revealed periodic spontaneous spindle waves that were indistinguishable
from those obtained from sagittal slices used previously (von Krosigk
et al., 1993 ; Bal et al., 1995a ). The presence of this network activity
indicates that synaptic connections between perigeniculate and
thalamocortical cells were functionally intact.
Electrophysiology. Extracellular recordings were obtained
with low-resistance (<5 M ) tungsten microelectrodes (Frederick Haer, Bowdoinham, ME). Intracellular recording electrodes were made on a Sutter Instruments P-87 micropipette puller from
medium-walled glass (WPI, 1B100F) and beveled on a Sutter Instruments
beveler (BV-10M). Micropipettes were filled with 1.2 M K
acetate and had resistances of 90-120 M after beveling. Cells were
included in the present study if they exhibited a stable resting
membrane potential for at least 10 min (typically 30-180 min), were
able to generate bursts of overshooting action potentials, and
exhibited apparent input resistances of at least 30 M (on average
80.4 ± 32.8 M ; n = 15). LGN cells had an
average resting membrane potential of 62.2 ± 3.8 mV
(n = 16).
Cells were identified in extracellular recordings according to their
location, the duration of their action potentials, and the temporal
structure of their action potential bursts: in PGN cells, but not in
thalamocortical cells, the frequency of action potential generation
within each burst increased, then decreased in frequency in an
"accelerando-decelerando" pattern (Domich et al., 1986 ; Hu et al.,
1989 ; Bal et al., 1995b ).
The optic radiation (OR) was stimulated at a distance of 400-800 µm
from the PGN, using bipolar tungsten electrodes similar to those used
for extracellular recordings, spaced 200-450 µm apart, and oriented
perpendicular to the corticothalamic fiber bundles (see Fig.
2A). Tips were electroplated with gold in a 2%
HAuCL4 solution. Stimulations ranged from 10 to
40 µA (0.1 msec duration). Feedback stimuli of corticothalamic fibers
were triggered by the activity of thalamic relay cells using a custom data acquisition software (Acquis1; developed by G. Sadoc, Unité de Neurosciences Intégratives et Computationnelles, Centre
National de la Recherche Scientifique Gif-sur-Yvette, Agence Nationale pour la Valorisation des Applications de la Recherche
Biological). The software detected the LGN discharges in intracellular
(Axoclamp-2B amplifier; Digidata 1200 analog-to-digital converter; Axon
Instruments, Foster City, CA) and multiunit recordings by a voltage
threshold, and set the latency at which a command was sent to an
OR-stimulating unit (A360; WPI). In some intracellular recordings, the
voltage threshold was set below the peak of the low-threshold calcium spike. A minimum interstimulus interval of 100 msec was set after first
spike detection to avoid overstimulation triggered by the recurrence of
spikes within the burst itself. The results presented here, using the
feedback paradigm, were obtained in 21 slices taken from 17 animals.
Electrical stimulation of the optic radiation resulted in orthodromic
activation of corticofugal axons and generated mixed IPSPs and EPSPs,
recorded intracellularly in thalamocortical relay cells. Antidromic
invasion was observed only exceptionally (2 of 40 LGN cells), and those
cases were discarded from the present analysis. Antidromic spikes were
recognized by their short and stable latency (0.67 ± 0.1 msec
from artifact to peak; n = 50 events) and the lack of
underlying EPSP, whereas monosynaptic corticothalamic EPSPs, recorded
in the same cell, had a longer and more variable latency (2.74 ± 0.29 msec; n = 50 events) consistent with the latency
of EPSPs mediated monosynaptically in LGN principal cells by slowly
conducting corticogeniculate fibers described previously in
vivo (Tsumoto et al., 1978 ; Ahlsen et al., 1982 ). The effect of
antidromic activation was also tested using the model (data not shown),
which indicated that the antidromic activation of a minority of LGN or
PGN cells had no detectable effect on network behavior. Thus, whereas
the contribution of antidromic activation of LGN relay cells to the
response of LGN and PGN cells cannot be completely ruled out, it
certainly remains small compared to the contribution of the orthodromic
activation of corticothalamic axons.
To block GABAB responses, the antagonist CGP
35348 (gift of Ciba-Geigy) was delivered locally with the
pressure-pulse technique in which an air puff (3 psi extruded
volume of 2-20 pl) (Picospritzer; General Valve, Fairfield, NJ;
10-100 msec). The drug was applied either to the surface or in the
depth of the slice within 50-100 µm of the entry point of the
recording electrode.
Data analysis and statistics. Analysis was performed using
Acquis1, a custom software. The level of cell recruitment and
synchronized activity in the network was best visualized by half
rectifying the multiunit signal, and then smoothing it by a moving
average technique to enhance the detection of cells coactive within a given window. Smoothed integration was performed with a 10 msec time
constant, except for the responses illustrated in Figure 6A (20 msec). Autocorrelation functions were applied
to the reconstructed local field potential and to the intracellular
current-clamp recordings, after removal of action potentials and
stimulation artifacts by a software routine (Bringuier et al., 1997 ).
Measurements of the period of oscillatory activity were derived from
the abscissa of the first peak in the normalized autocorrelation
functions calculated on at least 80, and up to 500 cycles of
oscillation. Nonparametric Wilcoxon matched paired tests were applied
to the oscillation period values observed in the control case and in the presence of a cortical feedback (with a significance level of
0.05).
Models. Computational models of thalamic neurons were
designed based on previous studies (Destexhe et al., 1996 ; Destexhe, 1998 ). LGN and PGN neurons were modeled by single compartment representations including various intrinsic voltage- and
calcium-dependent currents, such as
IT,
Ih,
INa, and
IK in LGN cells and
IT,
INa, and
IK in PGN. These intrinsic currents
were represented by Hodgkin-Huxley-type models. In addition,
Ih contained an upregulation by
intracellular calcium as described previously (Destexhe et al., 1996 ).
LGN and PGN neurons generated bursts of action potentials with a
strength and voltage dependence similar to that observed experimentally.
Postsynaptic currents mediated by glutamate (AMPA and NMDA receptors)
and GABA (GABAA and GABAB
receptors) were simulated using kinetic models of postsynaptic
receptors (Destexhe et al., 1998b ). The synaptic interactions modeled
were LGN PGN (AMPA receptors), PGN PGN
(GABAA receptors), and PGN LGN
(GABAA and GABAB receptors;
Fig. 1A,B), as found
experimentally (von Krosigk et al., 1993 ). Each cell type established
connections within a local area of 10% of the size of the network, in
a topographically organized manner (Destexhe et al., 1996 ).
Corticothalamic feedback was mediated by AMPA receptors on both LGN and
PGN cells. NMDA receptors were also incorporated in some
simulations (conductance of 25% of that of AMPA receptors), but
they did not affect the present results (data not shown). mGluR
receptors have been described in LGN and reticularis neurons (von
Krosigk and McCormick, 1993 ; Cox and Sherman, 1999 ), but were not
incorporated here.

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Figure 1.
Computational model prediction of the control of
thalamic oscillations by corticothalamic feedback. A,
Scheme of the thalamic circuit. A network consisting of two
one-dimensional layers of LGN and PGN neurons (100 cells each) was
simulated with topographic connections mediated by glutamate (AMPA)
receptors and GABAergic (GABAA and
GABAB) receptors as indicated. One cell (LGN cell
10) was the trigger of the cortical feedback, which was simulated
through AMPA conductances in all cell types. The connectivity and
conductances used were identical to a previous study (Destexhe et al.,
1996 ) with additional corticothalamic feedback conductances of 1-4
µS in PGN and 0.05-0.5 µS in LGN cells. B, Scheme
of the different ionic mechanisms present in each cell type. The
voltage-dependent currents IT,
Ih,
INa, and
IK were needed to simulate the intrinsic
bursting patterns of thalamic neurons. C, Spatiotemporal
network activity raster plots, detailing the results of the simulation
of the feedback experiment. Top, Feedback stimuli
consisting of a single shock produced bursting patterns typical of
spindle oscillations. Middle, Strong feedback (6 shocks
at 100 Hz) synchronized the burst discharges of LGN cells and switched
the oscillation frequency to 3 Hz in the entire network, although only
one cell served as the trigger. Bottom, Suppressing
GABAB receptors led to the reverse transformation from 3 to
10 Hz spindle oscillations, and the feedback was ineffective in
inducing the 3 Hz rhythm. Each graph represents 19 equally spaced LGN
cells in the network, and an example of PGN burst is shown in
inset. A delay of 25 msec was used in all
simulations.
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Feedback simulations were designed similarly to the experiments
reported here. In a network consisting of two one-dimensional rows of
100 LGN and 100 PGN cells, the suprathreshold activation of a single
LGN cell was chosen as trigger (Fig. 1A). When this LGN cell fired, the first spike was used to trigger a burst of presynaptic stimulation of corticothalamic synapses, after a delay of
10-50 msec. As in experiments, the number and strength of stimuli were varied.
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RESULTS |
We first describe with the model the paradigm and the hypothesis
tested here, namely that corticothalamic feedback can control the type
of oscillation displayed by the thalamus. We then investigate this
theoretical prediction experimentally, and establish the characteristics of the control of thalamic oscillations by cortical feedback. Finally, based on these experimental data, we return to the
model to analyze the network mechanisms underlying the cortical control
of thalamic oscillations.
Models predict that corticothalamic feedback can control
thalamic oscillations
A thalamocortical network model was introduced previously to model
~3 Hz spike-and-wave seizures based on the biophysical properties of
neurons and synapses in thalamocortical circuits (Destexhe, 1998 ). This
model formulated one main prediction, that corticothalamic feedback can
force the intact thalamus from control spindles (8-12 Hz) to a
different oscillatory mode, slower (~3 Hz) and more synchronized. To
test this prediction in thalamic slices, one must reconstitute the
thalamus-cortex-thalamus loop. We have thus elaborated a paradigm that
consists of forming an artificial feedback loop between the activity of
the LGN neurons and the stimulation of corticothalamic fibers (Fig.
1A). This can later be tested experimentally.
We first simulated this paradigm using a model network of 100 PGN and
100 LGN cells interconnected via AMPA, GABAA, and
GABAB receptors (Fig. 1A).
Cells were modeled by a single-compartment incorporating calcium- and
voltage-dependent currents (Fig. 1B) as in previous
models (Destexhe et al., 1996 ). The spike activity of one LGN cell was
used to trigger the stimulation of corticothalamic EPSPs across the
entire network. A burst of action potential in the trigger LGN cell
started a high-frequency (100 Hz) burst of AMPA-mediated
corticothalamic EPSPs in LGN and PGN neurons (see Materials and
Methods). The strength of the feedback stimulation was adjusted by
controlling the number of corticothalamic EPSPs (number of shocks).
In the case of mild feedback (one to four shocks at 100 Hz for the
conductance settings given in Materials and Methods), the pattern of
LGN and PGN discharge was typical of spindle oscillations (Fig.
1C; one shock): individual LGN cells showed subharmonic bursting activity, and were not tightly synchronized. In this case, the
presence of the feedback did not disrupt the pattern of spindle
oscillations, but only slightly increased the synchrony of LGN cells
(see below). This is consistent with previous models showing that mild
corticothalamic feedback can control the onset and distribution of
spindling activity, but does not change its cellular features (Destexhe
et al., 1998a ).
A radically different picture was obtained for stronger feedback
stimulation. When the number of stimuli was increased to five shocks or
more, the pattern of bursting changed qualitatively, and the network
switched to slow (2-4 Hz) oscillations (Fig. 1C; six
shocks). In this case the degree of synchrony was higher than spindles
because all cells fired within the same phase of the oscillation. This
activity is consistent with a previous model, in which the entire
system switched to synchronized 3 Hz oscillations in the presence of an
abnormally strong corticothalamic feedback (Destexhe, 1998 ).
The biophysical mechanisms underlying the change of rhythmic activity
in this model were the following. In control conditions (one to four
shocks), the corticothalamic EPSPs evoked burst firing patterns in PGN
cells consisting of a small number of spikes (from 1 to 10 spikes; Fig.
1C, inset, top trace). This low number of spikes was
maintained because of the presence of lateral
GABAA-mediated inhibition between PGN cells, as
shown experimentally (Sanchez-Vives et al., 1997 ; Huntsman et al.,
1999 ). With strong feedback (five shocks or more), the corticothalamic
stimuli were able to overcome the limiting effect of this lateral
inhibition and forced PGN cells to produce prolonged burst discharges
(10-30 spikes; Fig. 1C, inset, middle trace). These longer
spike trains are ideal for the activation of
GABAB receptors in LGN cells (Destexhe and Sejnowski, 1995 ; Kim et al., 1997 ). Thus,
GABAB-mediated IPSPs were evoked in LGN cells
only with strong feedback stimulation, leading to the 3 Hz rhythm. With
suppression of GABAB receptors, the model
reverted to patterns similar to spindling activity (Fig. 1C, no
GABAB).
The model thus indicates that strong corticothalamic feedback can force
the thalamic circuit to generate a slow and highly synchronized
oscillation. This feedback paradigm is investigated experimentally below.
Corticothalamic control of oscillations in thalamic slices
We implemented the feedback paradigm using a ferret slice
preparation that preserved the optic tract and the optic radiation bundle, allowing corticofugal fibers to be stimulated, while
maintaining intact the endogenous genesis of spindles (Fig.
2A). The activity of
corticothalamic fibers was triggered by the output signals of
thalamocortical relay cells, recorded either intracellularly, or
extracellularly as a multiunit signal. Stimulations of corticothalamic fibers ranged from a single shock to a train of shocks, with a preset
frequency (100-150 Hz) and delay of onset (5-140 msec), after the
discharges of relay cells. However the triggering and timing of
this corticothalamic feedback were determined entirely by the
endogenous firing rhythm of the LGN itself. Thus, we studied a
functionally structured closed loop circuit, which maintained the
ability to self-organize its activity. Autocorrelation functions were
used to study the oscillatory frequency of the spike activity in
identified neurons and multiunits, relative to the average beating
frequency of the network.

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Figure 2.
Control of thalamic oscillations by
corticothalamic feedback in ferret thalamic slices. A,
In the self-generating spindling thalamic slice, lateral geniculate
(LGN) relay neuron axons projecting to the cortex
via the optic radiation (OR) give off a collateral
branch to the perigeniculate nucleus (PGN). The
GABAergic PGN neurons generate direct inhibitory feedback to the relay
neurons of the LGN. Corticothalamic axons run in the OR and synapse on
LGN and PGN cells. Bipolar stimulating electrodes were placed in the
OR. OT, Optic tract. B, A 7 Hz control
spindle is slowed down to a 3 Hz oscillation by the feedback
stimulation of OR at a latency of 20 msec after the detection of
multiunit bursts activity (5 shocks; 100 Hz). Middle
trace, Smooth integration of the multiunit signal (integrated
local field potential). Bottom traces, Autocorrelation
functions applied on the integrated LFP before and after the
transition. C, Intracellular recording of a
thalamocortical cell during spontaneous spindle oscillation. The first
peak (184 msec) of the autocorrelation function indicates the period of
network oscillation (i.e., the inverse of its beating frequency).
D, Cortical feedback stimulations (4 shocks; 100 Hz; 50 msec delay) triggered by the burst firing of the cell slows the network
oscillation to ~2 Hz. Downward deflections in the cell are
stimulation artifacts. Action potentials were truncated for clarity.
The spike-triggering average below was made from before and after the
first 2 sec of 12 and 64 oscillatory sequences, respectively; it
indicates the persistence of fast compound IPSPs at the beginning of
the oscillation (asterisk). An autocorrelation function
of this slow oscillation is superimposed in C as the
thick trace (486 msec). E, Weak (single
shock) feedback stimulation delivered to OR.
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The effect of cortical feedback on autogenic reorganization of thalamic
rhythmic activity depended on the strength and duration of optic
radiation stimulation. High-frequency burst stimuli, comprising four to
six shocks at 100-140 Hz, slowed the spontaneously generated spindle
oscillation frequency from the typical 6-10 Hz (6.44 ± 0.64 Hz),
to 2-4 Hz (2.84 ± 0.66 Hz; n = 17 slices where
the feedback paradigm was tested) (Fig. 2B). The
intracellular records illustrated in Figure 2, C and
D, show that this effect was attributable to a transition in
the type of inhibitory feedback that developed over the first one to
three cycles of oscillation: the fast repetitive IPSPs at 7-10 Hz
originating from PGN cells, typical of spindle oscillation (Fig.
2D, asterisks), were replaced by longer, sustained
IPSPs, resulting in oscillation at 2-4 Hz (n = 7; Fig.
2D).
High-frequency burst stimulation of the optic radiation was necessary
to produce this transition. Short-lasting stimuli of the same intensity
but comprising only 1-2 shocks at 100 Hz, delivered 0-20 msec after
the relay neuron action potential, were able to entrain the oscillation
but did not significantly alter the mean frequency of the spontaneous
spindle rhythm (Figs. 2E,
3B) (6.17 ± 0.74 Hz for
spontaneous spindles vs 6.07 ± 0.63 Hz during single shock
cortical stimulation; NS; n = 7).

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Figure 3.
Thalamic oscillation is controlled by the
intensity of the cortical feedback. A, Detail of a
spindle wave and its control autocorrelogram displayed as the
thin trace in B and C.
B, Single shocks resulting in monosynaptic EPSPs
(arrow) and performed at various delays after the bursts
have little effect on the oscillation. C, Increasing the
intensity of stimulation to a threshold of four or five shocks leads to
the disappearance of fast IPSPs and slows down the network oscillation
to 3-4 Hz.
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To test whether the precise timing of the stimulation affected the
phase of oscillation cycle of the LGN cells, as shown in other
structures (Lampl and Yarom, 1993 ; Volgushev et al., 1998 ), the delay
(or phase lag) between relay neuron spikes and optic radiation
stimulation was increased (60-100 msec). This produced either no
significant change in the global oscillation frequency of the network,
as can be seen from the unchanged frequency of IPSPs in the
intracellular recording (Fig. 3A,B, arrows; see first peak
of autocorrelograms), or a small phase lag (up to 30 msec), but did not
entrain a transition to the slow oscillation frequency at 3 Hz
(n = 3). Conversely, increasing the stimulus train to five shocks or more at the same 100-140 Hz frequency, without changing
the timing relative to the relay neuron action potentials (i.e., a
burst lasting 35-50 msec, triggered 20 msec after LGN firing),
immediately prolonged the IPSPs, provoking a marked reduction in the
global oscillation frequency, to 2-4 Hz (Fig. 3C; see
displacement of first peak in autocorrelograms) (n = 7). This effect was tested and observed for relay neuron spike-optic
radiation stimulation delays ranging from 0 to 80 msec.
The rhythmic inhibition of LGN relay neurons by PGN cells is essential
both to the generation of spindle waves and to the production of slow
oscillation in the 2-4 Hz range. This was seen in relay cells that
were disconnected from the PGN layer because of the slicing procedure.
In these neurons no IPSPs resulting from spindle activity could be
detected; train stimulation of cortical fibers resulted in monosynaptic
EPSPs but did not generate either slow oscillation or action potential
bursting (n = 3; data not shown).
Increased synchrony of the forced slow oscillation
Cortical-feedback-induced slow oscillation was characterized by
increased synchrony of firing within the lateral geniculate relay
neuron and perigeniculate neuron populations. This was measured from
the integrated activity of multiunit recordings, which quantifies the
relative number of units coactive within a given time window (10-20
msec) and reflects both the strength of recruitment and the degree of
synchrony between the sampled cells in the network (Fig.
4). In a synchronized oscillation, the
population produces burst discharges in a concerted manner, although
individual neurons may not necessarily fire action potential bursts in
every cycle of the global population oscillation. Thus, activity is not
always simultaneous between the different neurons. For example, a given cell may participate in only one of two or three successive cycles apparent in the network beating (Fig. 1C, top panel),
but each of the bursts that it does fire will be generated in phase
within the global network oscillation. This explains why the period of the oscillation obtained for integrated activity and the spiking of a
single unit might differ (Fig. 4B).

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Figure 4.
Synchronization of thalamic cells by the
corticothalamic loop. A, Scheme showing the locations of
the intracellular recordings that were done successively for the LGN
cell and the PGN cell in the same slice, on an anteroposterior axis
passing between the branches of the stimulating electrode (the likely
orientation for the thalamocortical (TC)-PGN reciprocal
connections). Multiunit recordings made at location indicated by the
filled circle. For both cells, stimulation parameters
were kept identical (27 µA intensity; 4 shocks at 100 Hz).
B, Simultaneous intracellular and multiunit
(filled circle) recordings in the LGN during a
spindle wave. C, Same recordings during a slow network
activity resulting from cortical feedback stimulations (50 msec delay)
triggered by the action potentials in the intracellular recording.
D, Control multiunit recording in the PGN (spindle wave)
and its transformation during cortical feedback stimulation (6 shocks
at 100 Hz, 30 msec delay). An extracellular single-unit thalamocortical
cell, recorded with another electrode, was the trigger of the feedback
(data not shown). The integrated trace shows the amplification of the
population bursts (arrows) compared to control
(asterisk), indicative of an enhanced synchrony of the
activity of PGN cells. E, Intracellular recording of a
PGN cell during spontaneous spindle waves and OR stimulation imposed
periodically, but this time without feedback (4 shocks at 100 Hz, 400 msec interstimulus interval). Arrows show the EPSPs
originated from the rebound firing of thalamocortical cells in adjacent
layers. F, Detail of these compound EPSPs and their
averages (G) during spindle (top
trace; n = 83; triggered on the first spike
of the burst) and OR stimulations delivered at 500 msec intervals
(bottom trace; n = 56; triggered on
the first EPSP). For the average, only EPSPs not leading to the
generation of low-threshold calcium spike and bursting were
selected.
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In the LGN, there was stronger network synchrony during 2-4 Hz
oscillations (Figs. 2B, 4C) than during
spindle oscillations (Fig. 4B) (n = 11). Similarly, in the perigeniculate nucleus, the integrated activity
of multiunit recordings showed that an increase in synchrony could be
provoked either by LGN-triggered cortical feedback (Fig.
4D) (n = 5), or by stimulating the
optic radiation at a fixed frequency (see Fig. 6B)
(n = 4). This is illustrated in Figure
4D, which shows an example of a multiunit recording
in PGN during the transition from spontaneous spindle wave to slower
oscillation driven by corticothalamic feedback. In this experiment, the
corticothalamic feedback was gated by the firing of a single-unit LGN
cell recorded with another electrode (single-unit record not shown). In
the top trace, the larger single PGN unit showed subharmonic bursting
activity compared with the beating firing frequency of the local
population of PGN neurons (smaller units). All units became
synchronized after a few cycles when the corticothalamic feedback was
activated. The slow oscillation continued for another seven cycles
(data not shown) in this example. We measured the change in synchrony
of the local population of PGN cells by selecting the integrated LFP of
the multiunit recording corresponding to the smaller units (Fig.
4D, stars and arrows). Switching on the
cortical feedback resulted in an enhanced amplitude of the integrated
signal, indicating an increase in total unit action potential
discharges (Fig. 4D, compare stars with
arrows).
We previously demonstrated that the effective conduction time around
the synaptic loop between LGN and PGN cells can be directly measured
from the latency of compound EPSPs generated in PGN cells after the
burst firing of LGN cells (Bal et al., 1995b ). The latency of these
EPSPs was noticeably increased when corticothalamic axons were
stimulated at a fixed frequency (Fig. 4E,F, arrows),
illustrated by the shift in the latency of the averaged return EPSP
from 170 to 310 msec (Fig. 4G). The averaged EPSP had
comparable peak amplitude but increased duration (Fig. 4G, bottom
trace), suggesting that an increased number of LGN cells
participate to each cycle of slow oscillation. Increasing the period of
the imposed fixed frequency stimulation from 300, 400, and 500 msec did
not change the latency of the EPSPs showing that 310 msec was a
preferred period for rebound activity in the network. Note that the
illustrated LGN (Fig. 4B,C) and PGN (Fig.
4E-G) cells were recorded in the same slice using
identical stimulation parameters, thus making it possible to compare
the effect of the cortical feedback stimulation in the two types of
cells. The delay between the onset of OR stimulation and the rebound
burst in the LGN cell (~400 msec; Fig. 4C) fell within the
upper timing range of the averaged return EPSPs recorded in the PGN
cell (Fig. 4G).
We conclude that temporal summation of direct LGN excitatory feedback
to PGN and increased descending corticothalamic excitatory feedback to
PGN results in facilitation of burst firing by PGN neurons. This has a
determinant effect on the frequency and synchrony of oscillations
within the thalamus containing interconnected LGNd and PGN layers.
Forced slow oscillation depends on
GABAB-mediated IPSPs
The 2-4 Hz oscillations have a frequency and synchrony similar to
the bicuculline-induced slow oscillation that we reported previously in
thalamic slices (von Krosigk et al., 1993 ; Bal et al., 1995a ). Similar
to the bicuculline-induced oscillation, the cortical-feedback-induced
2-4 Hz oscillation was dependent on GABAB
receptors in LGN cells (Fig. 5).
Intracellular recordings show that blockade of
GABAB receptors using the specific antagonist CGP35348, applied locally, suppressed the ability of the cortical feedback to force the LGN into the 2-4 Hz mode (n = 4;
Fig. 5C). The frequencies of the control spindle waves and
of the oscillation during cortical feedback in the presence of CGP35348
were indistinguishable (Fig. 5A,C), whereas both rhythms
were significantly different from the 2-4 Hz oscillation (Fig.
5B,D).

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Figure 5.
Corticothalamic-induced slow oscillation is
GABAB-dependent. A, Control 7 Hz spindle
oscillation recorded in a thalamocortical cell. B,
Corticothalamic feedback stimulation, triggered by the bursts of the
same LGN cell, slows down the oscillation at 2-3 Hz. C,
The fast 7 Hz rhythm resumes after local application of the
GABAB antagonist CGP35348 (1 mM in
micropipette) near the recording electrode. D, Graph
representing the oscillation frequency of four cells recorded
intracellularly versus experimental conditions: control
(spindle); corticothalamic feedback (FB);
and corticothalamic feedback in presence of CGP35348 (FB + CGP). For all cells, data points correspond to the latencies of
the first peak of autocorrelation functions.
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Previous theoretical and experimental studies (Destexhe and Sejnowski,
1995 ; Kim et al., 1997 ; Thomson and Destexhe, 1999 ) have predicted that
GABAB-mediated IPSPs are generated only if presynaptic neurons generate prolonged high-frequency bursts of discharges. In the present case (Fig. 1), the model predicts that PGN
neurons, which are the main source of
GABAB-mediated IPSPs in LGN cells (von Krosigk et
al., 1993 ; Sanchez-Vives and McCormick, 1997 ), should fire
high-frequency bursts of prolonged duration. This is indeed the case in
many cells as shown in Figure 6
(n = 8/13 extracellular single units and intracellular
records). Whereas weak to moderate feedback stimuli (one or two
shocks), did not appreciably change the characteristic bursting
patterns of PGN cells, beyond a threshold of four or five shocks,
strong feedback stimuli led to prolonged bursting discharges (Fig.
6A,B). This was because increasing the number of
shocks increased the number of PGN cells firing synchronously and could
increase the intensity and duration of their discharge (Fig.
6B).

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Figure 6.
Strong corticothalamic activity enhance the burst
discharge of PGN cells. A, Multiunit recording in the
perigeniculate nucleus. Short-duration burst discharges of a PGN cell
during spindle waves (asterisk; 2 top traces) are
transformed in prolonged discharges during the rhythmic stimulations (7 shocks at 140 Hz; 400 msec interval) of corticothalamic axons (2 bottom
traces). B, Increasing the number of shocks of
stimulation (respectively 2, 5, and 7) increases the intensity of
discharges recorded in the PGN. C, Same protocol as in
B performed intracellularly for one, two, three, and
five shocks. Average for five shocks response consists of 15 traces.
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Intracellular recordings revealed that these effects were attributable
to large EPSPs generated in PGN cells by the firing of corticothalamic
axons (n = 9; Figs. 4E,F,
6C). In some cases (n = 4 of 9), stimulation
of more than or equal to four or five shocks induced prolonged
plateau potentials underlying the burst firing of PGN cells (Fig.
6C, arrow). Note that Figure 6, B and C, illustrates the effect of isolated corticothalamic
stimuli performed outside of oscillatory sequence to minimize the
effects of feedback EPSPs from LGN cells impinging on the PGN cell.
Isolated single shock stimuli induced either no spike or weak
discharges consisting of single or doublet spikes (Fig. 6C;
one shock; n = 7). In some cases however, isolated
corticothalamic single shocks could elicit bursts of 5-10 action
potentials (n = 3 of 10). In contrast, when single
shock corticothalamic stimulations were performed during spindle
oscillations, they were always associated with burst firing activity in
PGN cells (data not shown), as in the model (Fig. 1C, inset;
one shock).
Mechanisms underlying the corticothalamic control
of oscillations
To further investigate the cellular mechanisms underlying the
control of thalamic oscillations by cortical feedback, we have reexamined the model shown in Figure 1 in the light of the above experimental results. We first tested the behavior of this theoretical model as a function of the number of shocks and timing of
corticothalamic feedback in the same way that had been seen for
experimental data. Two conditions were necessary for the theoretical
model to mimic experimental behavior faithfully: first, the
AMPA-mediated cortical EPSPs had to be significantly stronger in PGN
cells compared to LGN cells (~5-20 times), consistent with a
previous study (Destexhe et al., 1998a ). Second, the activation of
GABAB receptors needed to be nonlinear:
GABAB IPSPs were negligible when the number of presynaptic spikes was small, but were strong with a large number of
presynaptic spikes, consistent with previous studies (Destexhe and
Sejnowski, 1995 ; Kim et al., 1997 ; Thomson and Destexhe, 1999 ).
Two critical parameters affected the transition from spindle to slow
oscillations. First, the lateral GABAA-mediated
inhibition between PGN cells acted against the transition. This effect
was tested by representing the mean frequency of the oscillation as a
function of the number of shocks (Fig.
7A). In control conditions, a
transition from 8-9 Hz spindle oscillations to 2-4 Hz slow
oscillations occurred at approximately five shocks (filled
circles). The transition could be shifted by altering
GABAA-mediated inhibition within the PGN nucleus
(Fig. 7A, triangles). With 200% GABAA
conductances in PGN cells, the transition occurred for eight shocks,
whereas it occurred for two shocks when these conductances were reduced to 50% of the control value. Second, the conductance of
corticothalamic EPSPs on PGN cells favored the transition (Fig.
7B, squares). A similar effect was also obtained by altering
the T-current conductance in PGN cells (data not shown). These results
corroborate previous experiments emphasizing the critical role of the
reticular nucleus in absence seizures, and in particular, the action of
the anti-absence drug clonazepam, which reinforces
GABAA-mediated inhibitory postsynaptic conductances in reticular neurons (Huguenard and Prince, 1994 ; Gibbs et
al., 1996 ; Hosford et al., 1997 ). The model suggests that reinforcing
these conductances augments the threshold for generating the slow
oscillation. The opposite effect is predicted for the conductances
mediating cortical EPSPs in reticular cells.

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Figure 7.
Conductances that affect the corticothalamic
control of oscillations in model LGN-PGN networks. A,
Representation of the mean network frequency as a function of the
number of shocks given to corticothalamic feedback. The filled
circles represent the control transition from 8-9 Hz to 2-4
Hz oscillations (same simulation as in Fig. 1C). The
same transition is shown for reinforced (200%; filled
triangles) or weakened (50%; open triangles)
GABAA conductances within the reticular nucleus. These
conductances acted against the slow oscillation. B, Same
representation for reinforced (200%; filled
squares) or weakened (50%; open squares)
AMPAergic conductances underlying cortical EPSPs in thalamic reticular
neurons. Reducing these AMPAergic conductances reduced the tendency of
the thalamic circuit to switch to slow oscillations.
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To test whether these two rhythms constitute distinct states in the
network or if alternatively, they are part of a continuum of
oscillatory states, we quantified the synchrony increase in the model
by calculating the total number of spikes fired by the LGN population
(Fig. 8A). At the onset
of the feedback (arrow; six shocks at 100 Hz), the spindle
rhythm (~10 Hz) switched to a slower frequency (~3 Hz)
characterized by a marked increase of synchrony in the reconstructed
local field. This synchrony increase is also evident from the
spatiotemporal raster plots (Fig. 1C). In the control
(spindle) condition, the beating frequency of the network resulted from
the coordinated activity of sparse oscillators firing at different
cycles of the carrier frequency, whereas it became equal to the
frequency of individual cells in the case where the strong cortical
feedback forced most cells to fire together. There was a tendency for
the number of spikes per burst to increase (one to three for spindles;
two to four for the ~3 Hz oscillation), but the synchrony increase
was principally attributable to a redistribution in the relative timing
of burst initiation among LGN cells (Fig. 1C).

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Figure 8.
Computational evidence that the two oscillations
constitute qualitatively distinct rhythmic states. A,
Histogram of the number of spikes fired by the LGN population in a
simulations of the model shown in Figure 1, A and
B. The arrow indicates the onset of the
feedback (6 shocks, 100 Hz; other parameters identical to Fig.
1C). B, Average output of the LGN
population represented against the number of shocks. Left
ordinate (circles), Average number of spikes
fired by LGN cells per oscillation cycle. Right ordinate
(squares), Frequency of the network oscillation.
Filled symbols indicate that >25% of GABAB
conductance was activated in TC cells, in which case the network
switched to another type of oscillation with lower frequency and higher
synchrony.
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This suggests that the "output" signal of the LGN population,
transmitted to cortex, should be more powerful during the ~3 Hz
oscillation. To quantify this, the model was used to evaluate the
average number of spikes per oscillation cycle evoked in LGN cells by
feedback stimulation of different strengths (Fig.
8B). The average oscillation frequency and the ratio
of GABAB conductance activated were also
evaluated. When one to four shocks were evoked, there was a slight
tendency to increase synchrony, but the number of LGN spikes stayed low
(less than one spike on average per LGN cell). However, with five
shocks or more, LGN cells shifted to a qualitatively different firing
pattern with nearly all cells firing in phase (Fig. 1C).
Thus, the model predicts a transition between two qualitatively
different rhythmic states of the thalamus, each corresponding to a
different output relayed to cortex. Low corticothalamic feedback strengths evoke a rhythmic state indistinguishable from spontaneous spindle oscillations. In this case, the output of the thalamus is
relatively moderate, because only a small fraction of LGN cells burst
in synchrony. Above a critical value of feedback strength, thalamic
circuits switch to a qualitatively different rhythmical activity, in
which all LGN neurons burst in phase and at a slow (~3 Hz) frequency.
In this case, the thalamus will return to the cortex a volley of action
potentials of greater synchrony and therefore of a greater impact on
their cortical targets.
 |
DISCUSSION |
We have shown here that corticothalamic feedback can control the
frequency and synchrony of thalamic oscillations. This property, initially predicted by computational models, was demonstrated in ferret
visual thalamic slices. We discuss here how these results may help to
understand the effect of corticothalamic feedback as well as the role
of the thalamus in seizure generation.
Corticothalamic feedback control of thalamic oscillations
It has been known for several decades that the thalamus
plays a key role in the genesis of oscillatory behavior such as spindle waves (Andersen and Andersson, 1968 ). Although an active role of the
cortex was claimed >50 years ago (Morison and Dempsey, 1943 ; Bremer,
1949 ), early studies have most often considered the cortex as passively
driven by a "thalamic pacemaker". It was subsequently found that
corticothalamic feedback plays a role in triggering thalamic
oscillations (Steriade et al., 1972 ) and is indispensable for the
large-scale coherence of thalamic-generated oscillations (Contreras et
al., 1996 ).
Here we have taken a step further by demonstrating that corticothalamic
feedback can also control the type of oscillation displayed by thalamic
circuits. Inclusion of an artificial feedback loop from LGN neurons to
corticothalamic fibers shows that the oscillatory activity exhibited by
this circuit can switch between two distinct oscillatory modes
according to feedback strength: 6-10 Hz spindle oscillations (zero to
three shocks) and 2-4 Hz highly synchronized oscillations (four or
five shocks or more). Because the timing of the feedback is
entirely determined by the LGN, this circuit forms a closed system
without external influence. It is therefore capable of self-organizing
into different oscillatory states, according to the value of a single
parameter: the strength of the feedback.
The slow oscillatory mode is characterized by a marked increase in
synchrony. However, more than a change in global activity, this
synchrony results from a redistribution in the relative timing of spike
initiation among LGN cells. The type of discharge patterns, and the
dependence on GABAB receptors, are similar to the
slow bicuculline-induced oscillation characterized previously in
thalamic slices (von Krosigk et al., 1993 ; Bal et al., 1995a ,b ). A
major difference, however, is that in the present case, the slow
oscillations appear in thalamic circuits that are physiologically intact.
The mechanism underlying the feedback control of thalamic oscillations
appears to involve the reticular (PGN) nucleus and its inhibitory
projection to relay cells. It has been demonstrated that intrareticular
inhibition plays a role in the damping of abnormally highly synchronous
thalamic oscillation (Huntsman et al., 1999 ). Using intracellular
recordings and computational models, our results indicate that cortical
EPSPs evoked in PGN neurons can be powerful enough to overcome the
lateral inhibition between these cells (Figs. 1C, insets,
4D). Substantiating data also comes from
morphological studies showing that corticothalamic synapses are very
dense on reticular thalamic neurons (Liu and Jones, 1999 ). Consequently, strong EPSPs from the cortex can elicit prolonged burst
discharges in PGN neurons, which in turn activate a full-blown GABAB-mediated component of the IPSPs in LGN
cells. The rebound burst firing of LGN cells at the offset of these
GABAB IPSPs re-excites the feedback, and the same
cycle repeats at a frequency of 2-4 Hz. A small portion of the
oscillation cycle period depends on the time course of the
LGN-cortex-LGN feedback loop, and this will also be of importance in
deciding the absolute frequency of network oscillation. A wide
variation in the time course of this loop has been reported in
vivo (5 to >100 msec; Schmielau and Singer, 1977 ; Sillito et al.,
1994 ). This variability reflects variations of the processing time,
depending on the state of the animal, and the high variability of the
conduction velocity of corticogeniculate axons (propagation times
ranging from 2 to ~20 msec; Tsumoto et al., 1978 ; Ahlsen et al.,
1982 ).
Electrical stimulation of the optic radiation activates corticothalamic
fibers orthodromically, but may also antidromically activate
thalamocortical fibers. However, the contribution of such antidromic
activation was surprisingly small (2 of 40 LGN cells recorded
intracellularly). This small contribution could be explained by the
fact that corticothalamic fibers outnumber thalamocortical axons by an
order of magnitude (Sherman and Guillery, 1996 ). Another possibility
that remains to be tested could be that the trajectory of
thalamocortical axons leaving the LGN and running in the optic
radiation differs from the trajectory of corticothalamic in the same
visuotopic area. Antidromic activation (up to 5% of LGN cells) was
also simulated by the model and had no detectable effect on the present
results. In addition, it is important to note that antidromic
activation of thalamocortical axons at ectopic sites occurs
naturally (Pinault and Pumain, 1989 ) and during epileptic paroxysms
in vivo (Gutnick and Prince, 1972 ; Noebels and
Prince, 1978 ; Pinault, 1992 ).
Many questions are left open regarding the role of
corticothalamic feedback. A large body of experimental and theoretical studies have focused on the role of corticothalamic EPSPs on
information processing in the visual system. The activation of
corticothalamic synapses have clear facilitatory effects on the relay
of information to cerebral cortex (Widen and Ajmone-Marsan, 1960 ;
Singer, 1977 ; Ahlsen et al., 1982 ; Sherman and Koch, 1986 ; Koch, 1987 ;
McCormick and von Krosigk, 1992 ). In contrast, we have shown here that
high-frequency corticothalamic volleys can induce a period of silence
lasting ~300 msec in the LGN, mediated by GABAB
receptors. This could be a way for the cortex to produce a brief
deafferentation, or a "reset" signal to bring thalamic neurons into
synchrony. It thus seems that the effect of corticothalamic feedback on
relay cells may be radically different depending on the patterns of firing activity of thalamic-projecting cortical neurons, in addition to
the state (bursting vs tonic mode) of thalamic neurons. Further experimental and theoretical work will be needed to characterize and
understand these different facets of corticothalamic interactions.
Insight on thalamic rhythmicity and role in seizure generation
Several experimental models of absence seizures have
demonstrated that the cortex is indispensable to generate seizure
activity (for review, see Gloor and Fariello, 1988 ; Danober et al.,
1998 ). Local applications of convulsants to cerebral cortex can
lead to full-blown seizures, but the integrity of the thalamus is
required (Gloor et al., 1977 ). A possible explanation for these
experimental observations was suggested by a model of spike-and-wave
seizures based on a closed loop interaction between a pathological
cortex and an intact thalamus (Destexhe, 1998 ). The main prediction of this model was that the cortex should be able to "force" the intact thalamus into a slow oscillatory mode, caused by the properties of
GABAB receptors.
The present results confirm that, if the thalamus receives an
abnormally strong feedback from the cortex, it tends to produce hypersynchronous 3 Hz oscillations, which are
GABAB receptor-dependent. The remarkable fact is
that the 3 Hz oscillations are generated by physiologically intact
thalamic circuits, under the sole action of cortical feedback. It
therefore predicts that an augmentation of cortical excitability, for
example caused by disinhibition, may result in an abnormally strong
corticothalamic feedback that can force the thalamus to oscillate at 3 Hz. These results therefore provide a possible explanation for the
observation that 3 Hz spike-and-wave oscillations can be induced by
cortical application of GABAA antagonists, but
that a physiologically intact thalamus is required (Gloor et al.,
1977 ).
The high-frequency shocks used to stimulate corticothalamic fibers may
seem inconsistent with the relatively low rate of discharge of
thalamic-projecting layer VI neurons in vivo (Gilbert,
1977 ). However, the normal conditions of discharge were represented
here by corticothalamic stimuli consisting of single shocks. A similar transition could also be obtained by increasing the intensity of
single-shock stimuli, instead of increasing the number of shocks (data
not shown). This therefore suggests that a switch of rhythmicity should
be observable in vivo if layer VI neurons increase their rate of discharge to produce bursts of high-frequency spikes (~100 Hz), as indeed observed in vitro (Golshani and Jones, 1999 ).
Alternatively, an increase of the number of layer VI cells discharging
simultaneously should also produce the conditions necessary to force
the thalamus to oscillate at 3 Hz. The present study therefore predicts
that during absence seizures there is an increased output of layer VI
cells, either by an increase of the level of discharge of single cells,
or by an increase of synchrony.
This prediction should be testable in visual cortical slices by a
feedback paradigm similar to that investigated here. The discharge of
intracellularly or extracellularly recorded neurons in layer VI could
trigger the stimulation of ascending thalamocortical fibers. In this
case, the pattern of stimulation should match the output of the LGN and
could be deduced from the present model (Fig. 8B).
This paradigm could be used to investigate the conditions under which
layer VI cerebral cortical neurons can generate the patterns of
discharge necessary to generate abnormally strong corticothalamic
activation, which according to the present paper, should lead to slow
hypersynchronous oscillations.
Note added in proof. A recent study has also
demonstrated that corticothalamic feedback controls thalamic
oscillations [Blumenfeld H, McCormick DA (2000) Corticothalamic inputs
control the pattern of activity generated in thalamocortical networks.
J Neurosci 20:5153-5162.].
 |
FOOTNOTES |
Received March 16, 2000; revised June 26, 2000; accepted July 14, 2000.
This work was supported by the Centre National de la Recherche
Scientifique, the Fondation Française pour la Recherche sur l'Épilepsie, the Institut Electricité Santé
of France, and by the Medical Research Council of Canada (MT-13724). We
acknowledge the outstanding help of Gerard Sadoc for data acquisition
and signal analysis, and K. Grant, Y. Fregnac, and B. S. Gutkin
for in depth discussion and comments on this manuscript. We also thank Alan Carleton and David Desmaisons for their helpful input.
Correspondence should be addressed to Dr. T. Bal, Unité de
Neurosciences Intégratives et Computationnelles, Centre National de la Recherche Scientifique Unité Propre de Recherche
2191, Institut de Neurobiologie A. Fessard, 1 Avenue de la Terrasse, 91 198, Gif-sur-Yvette Cedex, France. E-mail:
Thierry.Bal{at}iaf.cnrs-gif.fr.
 |
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