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The Journal of Neuroscience, January 15, 2001, 21(2):590-600
Adaptive Electric Field Control of Epileptic Seizures
Bruce J.
Gluckman1, 2,
Hanh
Nguyen1,
Steven L.
Weinstein1, 4, and
Steven J.
Schiff1, 3
1 Krasnow Institute for Advanced Study, and Departments
of 2 Physics and Astronomy and 3 Psychology,
George Mason University, Fairfax, Virginia, 22030, and
4 Children's National Medical Center and the George
Washington University School of Medicine, Department of Pediatrics and
Neurology, Washington, DC 20010
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ABSTRACT |
We describe a novel method of adaptively controlling epileptic
seizure-like events in hippocampal brain slices using electric fields.
Extracellular neuronal activity is continuously recorded during field
application through differential extracellular recording techniques,
and the applied electric field strength is continuously updated using a
computer-controlled proportional feedback algorithm. This approach
appears capable of sustained amelioration of seizure events in this
preparation when used with negative feedback. Seizures can be induced
or enhanced by using fields of opposite polarity through positive
feedback. In negative feedback mode, such findings may offer a novel
technology for seizure control. In positive feedback mode, adaptively
applied electric fields may offer a more physiological means of neural
modulation for prosthetic purposes than previously possible.
Key words:
electric field; epilepsy; seizure; adaptive; control; hippocampus
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INTRODUCTION |
Epilepsy is a dynamical disease
(Belair et al., 1995 ); its symptoms are produced by aberrant dynamics
of neuronal networks. The efficacy of attempts to suppress epileptic
seizures through stimulation of sites remote from the seizure focus and
independent of the seizure dynamics (cerebellum, thalamus, and vagal
nerve) have been generally unimpressive (Cooper et al., 1976 ; Van Buren et al., 1978 ; Cooper and Upton, 1985 ; Fisher et al., 1992 ; Murphy et
al., 1995 ; McLachlan, 1997 ). Surprisingly, very little effort has been
focused on the direct dynamical control of seizures. In
vitro laboratory experiments have explored the injection of electric current directly into epileptiform networks using
periodic pacing (Jerger and Schiff, 1995 ), nonlinear control (Schiff et al., 1994 ), and feedback (Nakagawa and Durand, 1991 ; Kayyali and Durand, 1991 ; Warren and Durand, 1998 ) to control or suppress evoked and spontaneous activity. Intriguing recent clinical efforts for
seizure suppression used surface (Lesser et al., 1999 ) and/or depth
(Velasco et al., 2000 ) electrodes to stimulate near seizure foci.
However, all of these methods used discrete perturbations to interact
with a time-continuous dynamical system. Here, we use time-continuous
electric fields.
Since the experiments of Rushton (1927) , it has been recognized that
electric fields can influence the threshold of excitability of neurons
(Terzoulo and Bullock, 1956 ; Jefferys 1981 ; Bawin et al., 1986a ,b ). The
physics of these effects has been explained well (Chan and
Nicholson, 1986 ; Tranchina and Nicholson, 1986 ; Chan et al., 1988 ). An
electric field oriented parallel to the somatic-dendritic axis of a
neuron, the spike initiation zone of which is asymmetrically placed
with respect to its centroid, will modulate the firing of the
neuron. The pyramidal cells of the neocortex and the hippocampus
individually have favorable geometry for electric field manipulation
and, within a local network, are oriented with their
somatic-dendritic axis parallel to each other.
The use of electric fields to modulate neuronal activity offers the
prospect of minimizing the invasiveness of medical devices, a fact
anticipated by Chan and Nicholson (1986) . One of the technical difficulties in implementing an electric field involves simultaneously measuring neuronal activity through local field potentials while applying an external field. In recent work (Gluckman et al., 1996a ,b ), we addressed this problem by using differential recording techniques with measurement and reference electrodes explicitly aligned along a
common isopotential of the applied electric field. This allowed us to
record neuronal activity while simultaneously applying relatively large
(50-100 mV/mm), time-dependent electric fields with minimal stimulus artifact.
We have shown that DC electric fields applied externally to brain
tissue suppress spontaneous epileptiform activity (Gluckman et al.,
1996a ). However, neuronal adaptation, as well as electrode and tissue
polarization, renders the effects of DC fields transient. Here we
report the first demonstration of adaptively applied electric field
control of seizure-like activity. During control, network activity is
not completely suppressed. Instead, the network has a broad range of
accessible activity, although seizure dynamics are suppressed.
Furthermore, the polarization effect seen with DC fields is
significantly reduced, allowing prolonged control. This methodology can
also be used to interact with neuronal activities other than seizure.
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MATERIALS AND METHODS |
Tissue preparations. Sprague Dawley rats weighing
125-150 gm were anesthetized with diethyl ether and decapitated in
accordance with a protocol approved by the George Mason University
Animal Use Review Board. Hippocampal slices (400 µm thick) were
prepared with a tissue chopper, cut either transversely or
longitudinally with respect to the long axis of the hippocampus, and
placed in an interface-type perfusion chamber at 35°C. The slices
were incubated for 90 min in normal artificial CSF (ACSF) containing
(in mM): 155 Na+,
136 Cl , 3.5 K+, 1.2 Ca2+,
1.2 Mg2+, 1.25 PO42 , 24 HCO3 , 1.2 SO42 , and 10 dextrose;
the perfusate was then replaced with elevated potassium ACSF (8.5 mM [K+] and 141 mM [Cl ]), and
the slices were incubated for an additional 30 min. In some
experiments, transverse slices were further cut to isolate just
the CA1 region, and then allowed to incubate longer until seizures were observed.
Experimental apparatus and electronics. A schematic of the
experimental system is shown in Figure 1.
A uniform electric field was introduced by passing current between a
pair of large Ag-AgCl plates embedded in the chamber floor relatively
far from the slice (17 mm plate separation). We used a four-electrode
technique with a separate pair of electrodes to sense the field, in
addition to the pair of field-producing electrodes (Cole, 1972 ). This
eliminated effects from the slow polarization known to occur even in
"nonpolarizing" Ag-AgCl electrodes. We used field application
electronics that control the current between the field plates such that
the potential difference between the sensing electronics equals an
input voltage signal and the potential of the plates floats with
respect to signal ground (defined by a pair of Ag-AgCl plates near the
chamber midline). The input voltage signal to the field electronics was computer-generated and low-pass-filtered (<30 kHz) to eliminate artifacts from the digital-to-analog conversion.

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Figure 1.
Schematic of the hippocampal slice and electrodes
in the perfusion chamber (modified Haas style) as viewed from the side
(middle) and above (top), with the wiring
for the field feedback amplifier indicated and a block diagram of the
controller. The brain slices rest on a nylon mesh just below the top
surface of the perfusate of ACSF. The atmosphere above the perfusate is
warmed to the bath temperature of 35°C and saturated with 95%
O2/5% CO2. An electric field is imposed
on the slice by a set of Ag-AgCl electrodes embedded in the floor of
the chamber. The current applied between these parallel-plate field
electrodes is feedback-controlled so that the potential difference
between the sensing electrodes is proportional to a program voltage. An
additional pair of electrodes is used as recording ground. Also shown
(bottom) is the alignment of the electric field with the
somatic-dendritic axis of a neuron that results in suppression.
With this alignment, the electric field polarizes the neuron, leaving
the transmembrane potential of the soma more negative with respect to
the extracellular space. If the spike initiation zone of the neuron is
near the soma, as is typical for the pyramidal cells studied here,
the cell will become less excitable. Reversing the field polarity will
depolarize the soma and bring the neuron closer to threshold.
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Electrophysiological recordings. Synchronous neuronal
population activity was monitored by measuring the extracellular
potential in the cell body layer of the CA1 region. Extracellular
recordings were made with paired saline-filled micropipette electrodes
(1-4 M ) and a differential DC-coupled amplifier (Grass model P16). To produce a feedback system, measurement of neuronal activity must be
performed simultaneously with the applied field. Two approaches were
used to minimize the artifact from the field in the recordings. First,
the micropipette electrodes were aligned as closely as possible to an
isopotential of the applied field. Alignment was achieved by applying a
sinusoidal field and adjusting the position of the reference electrode
to minimize the field artifact. This allowed us to measure neuronal
activity in the presence of relatively large (50-100 mV/mm) fields
with high resolution and without saturating the recording amplifiers.
Second, because some stimulus artifact persists in our measurements, we
additionally restricted the frequency content of the applied field to
be distinct from that of the measured activity of primary interest.
Feedback algorithm. For feedback purposes, we characterized
the neuronal activity associated with seizures as the root-mean-square (RMS) of the recorded activity measured within a frequency band of 100-500 Hz, averaged over a time that varied from 0.1 to 1.5 sec.
The applied field was proportional to the positive difference between
this RMS activity and a threshold value. The threshold was set by an
average (~30-3000 sec) of the measured RMS power. The frequency
content of the applied field was restricted to <10 Hz. For practical
purposes, a maximal (saturation) field amplitude was enforced. In some
applications, the output field was half-wave-rectified (i.e., when the
RMS was below threshold, no field was applied). Both the gain and the
threshold were set empirically. In general, optimal control was found
with a moderate gain that could be estimated as ~(50
mV/mm)/(peak recorded power of a seizure).
Field strengths are presented in units of millivolts per millimeter,
with the positive field correspondingly aligned with the primary
dendrite-soma axis to produce a suppressive effect, as illustrated at
the bottom of Figure 1. Gains are presented in arbitrary
units, with positive gain corresponding to negative feedback mode.
Analysis methods. Seizure-like events in these slices are
characterized from extracellular field-potential recordings by an extended burst of high-frequency (100-350 Hz) activity accompanied by
a relatively large (0.2-5 mV), low-frequency (0.01-1 Hz) negative potential shift that typically lasts many seconds. Three methods were
used to characterize neuronal activity from the field-potential recordings. First, events were detected from the high-frequency activity in the field potentials. The RMS power in the frequency band
100-300 Hz was calculated from the field-potential recordings with a
time constant of 0.1-0.5 sec, then analyzed with a simple threshold-crossing event detection scheme. These "RMS events" were
then characterized by their average and maximum power and duration.
Second, events were detected from the low-frequency deflection in the
field potentials. The field-potential recordings were low-pass-filtered
with a cutoff at 10 Hz, and threshold crossing was applied again. These
"DC events" were characterized by their average and maximum
potential shift, as well as duration. We note that, because these
analyses are based on distinct or separate frequency bands, they are
independent measures. Finally, spectral methods were used to
characterize average frequency content of the neuronal activity during
different types of stimuli.
Before each of the above-mentioned analyses, the linear component
of the stimulus artifact was calculated from the cross-correlation coefficient between the field-potential recordings and the stimulus. The stimulus artifact accounted for <5% of the RMS deviations in the
field-potential recordings.
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RESULTS |
Electric fields are known to modulate neuronal activity and even
transiently suppress seizure-like activity (Gluckman et al., 1996a ).
Our objective in this work was to demonstrate that, when applied in a
feedback fashion, control of seizure-like network behavior could be
achieved for extended periods of time.
Field characteristics
Critical to performing these experiments was our ability to record
neuronal activity independent of the applied time-varying electric field stimulus with minimal field stimulation artifact in the
recording. We achieved this with the use of DC differential recordings from paired electrodes aligned to be on nearly the same
isopotential of the applied field. We further restricted our
applied field to have frequency content in a band distinct from that of
the signal in which we were interested. This distinction is illustrated
in Figure 2. Power spectra
for recorded activity and applied field are shown for cases in which
the applied field is noise (Fig. 2A) and a typical
feedback signal (Fig 2B). In addition, we have
postprocessed our recording to eliminate the residual artifact, which
typically constitutes <5% of the RMS field-potential variations. The
power spectra for the processed signals is also shown in these
plots and is indistinguishable from the unprocessed signals, except at
low (<3 Hz) frequencies. These results indicate that the applied field
during control is not simply masking the neuronal activity in the
recording process during control. Because the applied field was
restricted to have frequency content <10 Hz, it only changes the
character of the field-potential recordings at the lowest
frequencies.

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Figure 2.
Power spectral density (PSD) for recorded activity
and applied field stimulus when the stimulus was a low-frequency random
signal (A) and a typical feedback control signal
(B). For display purposes, the stimulus PSD was vertically
scaled such that its amplitude matched that of the recorded activity
PSD at low frequencies. In both cases, the stimulus PSD falls off
quickly (~f 2) for frequencies, f, above ~4
Hz, in contrast to the neuronal activity PSDs, which have significant
spectral power up to 350 Hz. Also shown are the PSDs of the recorded
neuronal activity after removal of an estimate of the stimulus
artifact. These signals are indistinguishable from the original
recording for frequencies above ~2 Hz. B, The raw signal
lies slightly below the processed signal for low frequencies. These
results indicate that the applied field is not simply masking the
neuronal activity in the recording process during control. The stimulus
artifact accounts for <5% of the RMS recorded signal amplitude.
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Overview of control phenomena
A characteristic low-frequency negative potential shift of the
tissue that is associated with these seizure-like events in vitro (Traynelis and Dingledine, 1988 ) is quite similar to the slow, low-frequency potential shifts observed during in
vitro seizures (Wadman et al., 1992 ). Typical seizure-like events
in these slices exhibited durations of ~5-25 sec, inter-event
intervals of order 40 sec, and low-frequency (0.01-1 Hz) potential
shifts of order 0.2-5 mV. Recording-to-recording variations in the
morphology and amplitude of DC deflection can be attributed to the
details of the measurement electrode location with respect to both the origin of the seizure and the position of the reference electrode.
Seizure suppression
In Figure 3, A and
B, we show examples that illustrate how an electric field
can be used to adaptively suppress seizure-like activity within the
CA1. Suppression is achieved by using negative feedback. In both cases,
the high-frequency activity toward which the suppression algorithm is
directed is significantly attenuated. The DC shift was completely
eliminated (Fig. 3A) during suppression for some slices,
whereas it was partially retained (Fig. 3B) for others.
During control, some non-zero level of network activity is still
observed from the field potentials (Fig.
3A,B, third insets). We have documented successful suppression in 20 of
30 seizing slices with which we applied adaptive control.

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Figure 3.
Adaptive control of seizure activity using applied
electric fields. In A-C, the main trace
is the raw extracellular potential recording. Insets are
tracings of activity, filtered to illustrate the high-frequency
activity, shown at expanded scales. In each case, a dashed
line is used to demarcate when control is turned on.
A, B, Examples of seizure suppression
from separate experiments using electric fields applied as a negative
feedback parameter. Electrographic seizures are observed as an increase
in high-frequency activity atop large low-frequency deflections
(Traynelis and Dingledine, 1988 ). B, Seizures occur
interspersed among frequent short network bursts (Rutecki et al.,
1985 ). C, Example of seizure induction achieved using
positive feedback.
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Control can often be maintained for prolonged periods of time. To date,
16 min is the longest we have maintained control in a slice otherwise
exhibiting seizures approximately every 40 sec. Because the amplitude,
duration, and interval between the events slowly change over the course
of 1 hr (Fig. 4), 16 min is near the
limit for reliable suppression testing in this system.

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Figure 4.
Event detection results for a single 90 min
recording with different electric field stimuli applied. The
bottom trace indicates feedback gain (G;
left axis) or amplitude (A; right
axis) of the applied stimulus. Greek letters and
colors indicate the type of stimulus: baseline
(black, no letter); full-wave feedback control
(red, ); half-wave-rectified feedback control
(green, ); constant amplitude suppressive
field (light blue, ); low-frequency noise
(dark blue, ); suppressive half-wave-rectified
low-frequency noise (orange, ); positive feedback
control (magenta, µ). Two types of event detection
were used to identify synchronous neuronal activity from the recorded
field potentials. RMS events were detected from variations in the RMS
power in the frequency band 100-350 Hz. DC events were detected by
threshold detection after low-pass filtering of the recordings at 10 Hz. The character of both types of events, as quantified by their
average and maximal amplitudes as well as their duration, was visibly
changed from baseline when control was applied. No events of either
type were observed during the final and longest (16 min) application
( 3) of full-wave control.
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Seizure enhancement
Positive feedback, set by changing the sign on the gain that
reverses the applied field polarity, can be used to enhance seizures or
even to create seizures where none were observed previously. In Figure
3C, we show an example of the characteristic population burst-firing events seen in high [K+]
hippocampal slices (Rutecki et al., 1985 ) in the uncontrolled state.
With positive feedback control, the adaptively applied field now
enhances the brief network bursts into large seizure-like events
with the substantial low-frequency potential shifts characteristic of
seizures. We have documented seizure generation in all four non-seizing slices with which we applied positive feedback control.
Comparison of parameters: a single experiment
Detailed event-extraction results for a 90 min recording from a
single experiment are shown in Figure 4. In this experiment, we
compared the application of negative feedback both with and without
half-wave rectification of the applied field at various gains,
application of a constant amplitude suppressive field and random
waveform fields, as well as positive feedback control. From this
experiment, we extracted events from both the RMS power in the
frequency band 100 < f < 350 Hz, which we term
RMS events, and the low-frequency (f < 10 Hz) potential shifts, which we term DC events.
The type of stimulus applied is indicated in Figure 4
(bottom trace) where the height of the blocks indicates
either the gain (G, left axis) used in the
proportional feedback routine or the amplitude (A,
right axis) of the waveform applied. Both the
colors and the Greek letters indicate the type of
stimulus applied, as indicated in the figure legend. Baseline
recordings of 1-4 min were made between stimuli. We show in the
top plots the duration, maximum, and average deflections (DC
or RMS power) of all events extracted from either the RMS power (RMS
events, top trace for each pair) or low-frequency
deflections (DC events) as a function of time. Values for all extracted
events are plotted. For the maximum and average deflections, the
gray horizontal lines correspond to the trigger threshold
for defining an event. As expected, the maximum deflections are always
greater than or equal to the trigger threshold. In contrast, the
average deflection need not be larger than the trigger threshold.
Therefore, the trigger threshold provides a logical dividing line
between large and small events in the average deflection plots. In the
duration plots, a horizontal line at 3 sec is plotted as a
rough threshold for distinguishing seizure-like episodes from smaller
burst-like events.
Feedback suppression
Negative (i.e., suppressive) feedback, indicated by a negative
gain, was applied with both full-wave ( ) and half-wave rectification ( ). Even at the smallest gain used ( 1,
1), all six types of event characteristics are
distinct from the baseline activity (Fig. 4, black) for both
detection schemes. At the intermediate gain used, no DC events were
observed during the nonrectified control ( 2),
whereas only short, low-power RMS events were observed. For
half-wave-rectified control at a comparable gain
( 2), short, small events were observed from
both the DC and the RMS event extraction. At the highest gain used for
nonrectified control ( 3, starting at time 3960 sec), no DC or RMS events were detected throughout the 16 min of
control application.
Examples of activity for this experiment with and without control
are shown in Figure 5. The top
pair of traces (Fig. 5A) corresponds
to the measured field potential (bottom) and applied field
(top) starting 2 min before the last application of
nonrectified control ( 3). The baseline
activity, without control, is characterized by large seizure-like
events that start with a burst of high-frequency activity and are
accompanied by a large low-frequency potential shift. Details of
one of these events are shown in Figure 5B
(trace) at an expanded scale (15 sec), high-pass filtered at
100 Hz, along with a spectrogram of the activity covering frequencies
from 25 to 350 Hz. The power associated with these seizures can be
observed in the spectrogram to start at high frequencies (near 120 Hz) and progress toward lower frequencies, a characteristic known as a
"spectral chirp." Similar spectral chirps have been observed to be
the spectral signature of human seizures (Schiff et al., 2000 ). The
neuronal activity after the seizure-like events in our experiments, as
measured by the RMS power, is depressed across all frequencies.

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Figure 5.
Traces and spectrograms of activity with and
without control for the same experiment as Figure 4. A,
Activity (bottom trace) and applied field (top
trace) from the final application of full-wave control
( 3) from Figure 4 and the baseline preceding it.
B, C, A 15-sec-long trace and
spectrogram of a seizure-like event
(B) and of activity during control
(C) from A. The top
traces in B and C are the
activity, high-pass-filtered at 100 Hz. The spectrograms
(B-D) are calculated in overlapping vertical
frequency bins 50 Hz tall from 25-350 Hz, and in overlapping
horizontal time windows 0.05 sec wide. D, Spectrogram
for a longer period illustrating the contrast between baseline and
controlled activity.
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Expanded views for recorded neuronal activity during control are shown
in Figure 5C with the same scales as Figure 5B.
Although the RMS power fluctuates during control (Fig. 5C),
it never approaches the level observed in baseline (Fig.
5B). Note that the color scale is logarithmic.
This behavior continues throughout the 16 min of this control
application (Fig. 4, 3), in which the
fluctuations are never large enough to trigger the RMS event detection.
A spectrogram corresponding to a longer period (150 sec) crossing from
baseline to control is shown in Figure 5D. Throughout the
control period, the RMS power activity lacks both the characteristic
highs and lows observed during noncontrolled activity. We note that
this power reduction/stabilization occurs across all frequencies
displayed (25-350 Hz), whereas the applied field was constrained to
have frequency content below ~10 Hz. The RMS amplitude of the applied
field averaged over the full control period was ~4.8 mV/mm and was
typically much smaller than the allowed maximum of 17.5 mV/mm.
Suppression with constant field
A relatively large suppressive constant (DC) field (16.7 mV/mm)
was applied, starting at time 900 sec (Fig. 4, ). As was observed in
earlier work (Gluckman et al., 1996a ), this had the effect of
suppressing the large seizure-like events observed with no field.
However, the effect had limited duration because a large seizure-like
event was observed 276 sec after initiation of the field, as shown in
Figure 6A. This is in
contrast to the 600 sec period of control initiated at time
t = 1400 sec, during which no large events were
observed (Fig. 4, 2).

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Figure 6.
Examples of activity during nonfeedback electric
field stimulus for the same recording as Figure 4. For each set, the
top trace is of the recorded activity, whereas the
bottom trace shows the applied field. A,
Application of a constant-amplitude (DC) suppressive field (Fig. 4,
). B, Application of a full-wave
low-frequency noise field (Fig. 4, ). C, Application
of a half-wave-rectified low-frequency noise field (Fig. 4, ). In
each case, large neuronal events are observed, although the full-wave
noise field did have the effect of breaking up the seizure-like events
into shorter durations. The horizontal axis is time in units of
seconds.
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Stimulation with low-frequency noise
One hypothesis might be that any low-frequency field might elicit
a similar suppressive effect on the neuronal activity. We have tested
various nonadaptive periodic and random signals. Although such signals
do tend to modulate neuronal activity, we have observed little
effective suppressive effect on seizures. Examples of random signals were used in the experiment of Figure 4. Application corresponds to a full-wave (suppressive and enhancing) random field,
whereas corresponds to a half-wave-rectified (suppressive only) random field. Each was restricted to a frequency content<1 Hz. Examples of activity from each of these applications are shown in
Figure 6, B and C. The full-wave random field
(Fig. 6B) did have the overall effect of breaking up
the seizures in time and decreasing their duration as measured by the
RMS event extraction (Fig. 4, top). However, the maximum
amplitude of those events as measured in the RMS was typically larger
than baseline, and comparable findings were reflected in the
low-frequency deflections (DC events). The half-wave-rectified field
(Fig. 6C) had little effect at either amplitude used.
Positive feedback control
We applied a positive feedback for a short duration during this
experiment. During this time, two events were observed, both of
which were relatively large as measured from the average and maximum
deflection for both the RMS and DC detection methods (Fig. 4, µ), as
compared with the baseline events nearby in time.
Statistics using power spectra
The character of the neural activity during control can be further
quantified from the average power spectra. Spectra from the last
control application in Figure 4 and the baseline recording after it are
shown in Figure 7A. These
averages were calculated by averaging the spectra of 1.64 sec
(214 = 16,384 points, recorded at 10 kHz) half-overlapping windows. The SD of power as a function of
frequency, which represents window-to-window power variations, is shown
in Figure 7B. For both of these measures, the curve for the
controlled activity (line with symbols) lies well
below that of the baseline activity.

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Figure 7.
Comparison of PSD of recorded activity during
control (lines with symbols) as compared
with baseline (lines without symbols).
The control corresponds to the final control application in Figure 4,
and the baseline corresponds to the final baseline application. PSDs
were calculated in overlapping 1.64 sec (214
point) windows. The power averaged over the windows is shown in
A, whereas the window-to-window variance of power is
shown in B. For both measures, the controlled activity
falls well below that of the baseline activity.
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Although our objective was to suppress the seizure-like events, the
control law that we used (the algorithm) was designed to limit the RMS
power of recorded neural activity in a frequency band from 100 to 500 Hz. We can therefore quantify the success of this controller by
investigating the statistics of the RMS power integrated over the
frequency band 100-350 Hz, again for overlapping 1.63 sec windows. The
power above ~250 Hz is negligible (Fig. 5). This measure should be
independent of the stimulus artifact because the power associated with
the stimulus is confined to frequencies <10 Hz (Fig. 2). Normalized
histograms of this integrated power are shown in Figure
8A for
the baseline recordings ( ), during full-wave feedback control ( ,
), and during half-wave-rectified control ( , ) for the whole
recording of Figure 4. The distributions for all three conditions are
populated primarily with windows of low power. The windows with high
power are of great interest because we associate high power in this
frequency band with the first portion of the seizure-like events. To
highlight the tails of these distributions, we compute the cumulative
probability, shown in Figure 8B. This distribution,
C(p), can be understood to be the fraction
of windows with power > p. From it, we observe that the maximum power observed during baseline is roughly four times
higher than observed during control. In addition, ~3% of the windows
during baseline activity have higher power than the maximum observed
during either type of control.

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Figure 8.
Statistics of the RMS power of recorded activity
in the frequency band 100-350 Hz, calculated in 1.64 sec windows, for
baseline ( ), full-wave control ( ), and half-wave-rectified
control ( ). Statistics correspond to all applications, independent
of gain for the recording of Figure 4. A, The normalized
histogram. B, Cumulative probability. It is clear that the
baseline activity has many windows with much higher power than either
type of control. These windows correspond to the first phase of the
seizures. Inset, The normalized histogram of power
calculated with logarithmically spaced bins, abscissa, power; ordinate,
frequency) for baseline ( ) and full-wave control ( ). From this
plot, it is observed that deviations to both high and low power are
eliminated during full-wave control. The windows with extremely low
power correspond to the latter phase of the seizures and the recovery
times after them. C, The power variance versus average power
is plotted for these three conditions. The two types of control are
statistically well distinguished from that of the baseline activity.
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The high-frequency burst of activity in the uncontrolled seizure-like
events is usually followed by a quiet, refractory-like period. During
full-wave control, the objective of the control algorithm was to
maintain a target level of activity by either suppressing or exciting
the network. To further illustrate the controller's efficacy, we show
in Figure 8A (inset) the normalized histogram of power for baseline ( ) and full-wave feedback ( , thick line) control computed with logarithmic bins
(abscissa, power; ordinate, frequency). From this
graph, it is clear that such excursions to low power are also curtailed
during full-wave control. Half-wave-rectified control (data not shown)
also decreased these excursions, but to a lesser extent.
The window-to-window variance of the integrated power is plotted versus
the average power in Figure 8C for each of these conditions (baseline, control, and rectified control). We use the variance as a
measure of the width of the distribution. The baseline activity is
clearly differentiated statistically from both types of controlled activity using either the mean or variance as measures.
Release phenomena
The character of the activity during control varied from
experiment to experiment. It depended on both variations in the network activity and our choice of parameters for the controller. In some cases
(Fig. 3A), during control, the network-controller system would be in a cyclic state. The network would begin to become more
excited, and then the controller would apply a field, causing the
neural activity to become quiet. The field would then decrease, and the
cycle would repeat. In these cases, large seizure-like events were
observed nearly immediately when the controller was turned off. An
example of such a seizure after release is illustrated in Figure
9A for the same control run as
Figure 3A. The top trace is the recorded field
potential, whereas the bottom trace is the applied field. In
other cases, the amount of intervention by the controller cycled on a
longer time scale (of order 1 min), often reaching a point at which no
field would be applied for a few seconds. In those cases, the activity
when control was released depended on the phase of this cycle. If the
controller was actively suppressing when shut off, then a seizure would
progress (Fig. 9B). Otherwise, one would appear later, but
within a few seconds of release.

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Figure 9.
Examples of network activity when control is
released. In A-C, the
inset is the activity for the full control period,
indicated in gray, plus the baseline periods before and
after. A, The trace corresponds to the
same experiment as Figure 3A, with half-wave-rectified
control. The network oscillates between excitation similar to seizure
onset and suppression by the controller. When control is released, this
activity proceeds immediately into a full seizure-like event.
B, C, Traces from another
experiment in which half-wave-rectified control
(B) was compared with nonrectified control
(C). For half-wave rectification, seizures were
observed very soon (0-3 sec) after control was released, as compared
with 12-18 sec for nonrectified control. The time base for each
inset is the same and is indicated in A.
The inset vertical scale is half that of the main
traces.
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In the majority of these experiments, only half-wave-rectified control
was used. This has the effect of suppressing activity only when it is
above the threshold. If we use the full proportional feedback control
signal (full-wave control), the effect is not only to suppress when the
activity level is too high but also to excite when the activity level
is too low. In the two longer experiments (two slices from two rats) in
which we compared full-wave control with half-wave-rectified control
with similar parameters, the network was consistently quiet on release
from full-wave control for a period comparable with roughly half the
baseline inter-event interval. An example of full-wave release is shown
in Figure 9C for comparison with half-wave release of Figure
9B in the same network. During this experiment, which was
designed to contrast the network responses to these different control
algorithms, we alternated solely between rectified and nonrectified
control (with baseline in-between) at constant gain. The intervals
between turning off control and the next event were 0.1-6 sec
for rectified control (three applications) and 14-17 sec (four
applications) for full signal control. Application of a Student's
t test yields estimates that these distributions are
different with >95% significance. Similar results were
observed for the experiment of Figure 4.
Results summary
Clear suppression of the seizure-like activity compared with the
baseline activity was achieved using feedback control through electric field stimulation in 20 of 30 seizing slices (4 whole transverse slices, 21 cut transverse slices, and 5 CA1 longitudinal slices; prepared from 21 rats). Half-wave control was applied in all,
and full-wave control was applied in five of the successful suppression
applications. We analyzed five experiments in detail, as described for
the experiment of Figures 4-8. In each of those experiments,
the RMS power and the power fluctuation in the frequency band 100-350
Hz during control were significantly lower than during baseline
recordings, as in Figure 8C. In each experiment, there were
clear differences in the character (duration, average and maximum
power) of the events as extracted from the RMS power, and four of five
revealed clear differences from events extracted from the DC
deflections. In six experiments (six slices from six rats), we
maintained control for periods of at least 5 min without breakthrough
seizures before parameters were changed. In addition, we generated
seizures in non-seizing slices by applying positive feedback in four
experiments (four slices from four rats).
Control failure
We were not always successful in controlling seizures, and the
reasons for failure appear multifactorial. Procedural and equipment problems often played a role. Specifically, failure to closely align
the reference electrode on the same isopotential of the applied field
as the measurement electrode played a role in at least three of the
outright failures and prevented detailed analysis from at least another
three experiments. The formation of large air bubbles deformed the
electric field in one experiment. In three other cases, we did not find
control parameters (especially the filter settings) that would suppress
the seizures without responding to the background activity. This
would occur, for example, when the events had very little of the
high-frequency signature at seizure initiation, so the suppressive
field was not applied until it was too late.
More interesting are some of the dynamical failures to control. In some
cases of half-wave control, the activity level would be modulated by
the field but would continue to increase until the controller would
saturate at the maximum allowed field amplitude. The seizure would then
be free to break through, as observed with constant field application
(Fig. 6A). After these "breakthrough" seizures,
the RMS activity would decrease, and the field would return to
zero. Breakthrough seizures could often be eliminated by increasing the
maximum field amplitude. In four of the complete failures, breakthrough
seizures were observed within one typical seizure interval of
initiation of control. In four of the successful experiments,
breakthrough seizures were only observed after 3-7 min (3-10 seizure
intervals) of control, or they appeared as relatively small events,
compared with the uncontrolled activity.
In at least three of the cases for which we failed to control the
activity, subsequent multiprobe measurements of activity indicated that
the seizures were initiating at points distant from the point we were
controlling and were propagating toward the microelectrode.
 |
DISCUSSION |
We have demonstrated adaptive electric field control of
seizure-like events in neuronal networks. These population events were
characterized by an increase in high-frequency activity at their onset,
followed by a significant low-frequency negative shift as measured from
the extracellular field potential. The control law that was used
applied a suppressive field when the RMS amplitude of the measured
high-frequency activity increased. This had the effect of
suppressing neuronal activity at the onset of the seizures. We
then used event detection from the RMS power in the frequency band
100-350 Hz and from DC deflections, along with spectral analysis, to
distinguish activity during control periods from uncontrolled periods.
Controlled activity revealed shorter, smaller events (if any) (Fig. 4)
as well as lower average power and lower power variance (Fig. 8) than
the uncontrolled activity.
Previous estimates place the sensitivity of single neurons
at ~5 mV/mm (Jefferys, 1981 ). In previous work (Gluckman et al., 1996a ), we demonstrated suppression of network seizure-like activity in
similar high-potassium hippocampal preparation as used here with DC
fields in the range of 5-10 mV/mm. Recent work by Ghai et al. (2000) ,
demonstrated suppression of seizure-like activity in a low-calcium
hippocampal preparation with DC fields in the range of 1-5 mV/mm. The
amplitude used in our present adaptive experiments to modulate the
network dynamics ranged from a few millivolts per millimeter to as high
as a few tens of millivolts per millimeter. In the long full-wave
control example shown in Figure 4 ( 3), the RMS field amplitude
was ~4.8 mV/mm during the16 min application, just at the lower limit
of previous sensitivity estimates. Ongoing experiments in our
laboratory appear to place the detection limits for single neuron and
network modulation by electric fields near the 100 µV/mm range (our
unpublished data). We note that the physics of neuronal
polarization under an electric field dictates no real threshold for
interaction other than the expected loss of effect at the thermal
Johnson noise limit (Adair, 1991 ).
Our results are not attributable to the stimulus artifact of the
applied field masking neuronal activity. First, the stimulus was
restricted to frequencies well below 10 Hz. It was therefore easily
distinguishable from the higher-frequency signatures used to
characterize the neuronal signal for two of the three measures presented, which rely on analysis of field-potential signals >100 Hz.
In addition, observation of seizures immediately on release of control,
as illustrated in Figure 9A, belies the effect being artifact. The most likely explanation for these observations is that, during control, the network was oscillating between initiating a
seizure-event and being suppressed by the controller. When the controller was turned off, the seizure progressed.
This release phenomenon (Fig. 9A) is also interesting in
light of other recent results. Although in some models CA3 can activate or sustain seizure-like events (Traynelis and Dingledine, 1988 ; Borck
and Jefferys, 1999 ), it has been shown experimentally that the burst
discharges arising from CA3 can suppress the development of
seizure-like events in an in vitro preparation (Barbarosie and Avoli, 1997 ), and that delivering periodic stimulation in similar
frequency ranges as the natural burst discharge rates can similarly
suppress such epileptiform events (Bragdon et al., 1992 ; Jerger and
Schiff, 1995 ; Barbarosie and Avoli, 1997 ). Evidence is accumulating
that neuronal synchronization phenomena in the hippocampus may be
limited by the rate of replacement of releasable excitatory transmitter
(Staley et al., 1998 ). Perhaps these observations of stimulus-induced
seizure suppression and the release seizures seen in the present
experiments when control is abruptly terminated are manifestations of
the level of releasable transmitter available in these networks.
Control techniques such as those presented here, especially the ability
to maintain the network so close to seizure initiation, may be useful
tools to probe such basic mechanisms underlying seizure generation.
Another interesting aspect of the release phenomena is the difference
in response observed when half-wave-rectified control and full-wave
control are applied (Fig. 9B,C).
Because we observe seizures much sooner after release with the
half-wave-rectified control, we infer that the network stays closer to
seizure onset with half-wave-rectified control. A possible
interpretation would be that the full-wave control both suppresses and
excites the network to confine activity to some intermediate excitation
level. Perhaps the excitation aspect of this control helps to keep the network from approaching a preseizure state much in the same way as
periodic stimuli (Bragdon et al., 1992 ; Jerger and Schiff, 1995 ;
Barbarosie and Avoli, 1997 ).
One hypothesis might be that we have either spread out the seizure
activity of the network over longer periods through our intervention or
even trapped the network in an excited preseizure state. However, when
the average spectral power of the neuronal activity was computed, as in
Figure 8C, we reliably found that the average activity level
and the variations in activity level were lower than baseline.
We note that the nonrectified control is better suited for use in
chronic applications. Because it provides a bipolar field, the net
charge transferred between electrodes averages to zero. This prevents
long-term polarization of both the stimulation electrodes and the
tissue, which would be a problem with the half-wave-rectified application. On the basis of available data, we estimate that biocompatible electrodes based on iridium oxide have the capacity to
apply a DC field of 5 mV/mm for 10 sec in neuronal tissue, which would
be adequate for the feedback experiments described here.
We note that the electric field modulation seems completely reversible.
The field interacts with the cells by polarizing the neurons and
is expected to be proportional to the applied field. Therefore, when
the field is turned off, this interaction should be zero. Ionic buildup
in the tissue may last slightly longer, but this type of polarization
is minimized in our current control algorithms, which minimize the
long-term average applied field. Our measurements reveal no evidence of
significant tissue polarization, and we typically observe that the
network dynamics return to their baseline state when control is turned
off. Although we have no evidence of functional damage caused by
electric field stimulation, a proper evaluation of the safety of this
technology will require histological evaluation of tissue after it is
subjected to electric field modulation and feedback control for
extended periods of time.
These results demonstrate that a novel approach to adaptive seizure
control using externally applied electric fields is feasible. By using
fields, it is not necessary to impale brain tissue with stimulating
electrodes, and this has obvious advantages for minimizing the
invasiveness of devices using such technology in applications. The most
straightforward way to implement our results would be through
nonpolarizing electrodes in the intraventricular, subdural, or epidural
spaces. Adapting such technology to geometrically favorable brain
(e.g., neocortex and hippocampus) for the suppression of epileptic
seizures can be explored in the near future.
The symptoms of dynamical diseases of the brain also include the motor
manifestations of Parkinson's disease, and it has been proposed
recently that dysrhythmias of neuronal circuitry may help unify some of
the diverse symptomatology of other neuronal conditions (Llinás
et al., 1999 ). Our methodology is capable, in principle, of suppressing
pathological neuronal activities in conditions other than epilepsy. On
the other hand, by using positive feedback, the methodology presented
here forms a novel approach to imposing function prosthetically. By
sensing the ongoing background activity of neuronal circuitry (Arieli
et al., 1996 ), adaptive electric fields may permit the modulation of
network behavior in a more physiological manner than previously possible.
 |
FOOTNOTES |
Received July 27, 2000; revised Oct. 13, 2000; accepted Oct. 23, 2000.
This work was supported by National Institutes of Health Grants
7K02MH01493 and 2R01MH50006 and through a Whitaker Foundation Research
Grant. We thank Celia Davis for technical assistance in the preliminary
stages of this research, and Joseph Francis and Theoden Netoff for
continued assistance throughout this project.
Supplementary Information: A computer demonstration program with
real-time samples from the experiments in this paper illustrating feedback seizure control and seizure enhancement is available as
Supplementary Information, archived by the authors at
http://www.NeuralDynamics.org/Projects/FeedbackControl2000.
Correspondence should be addressed to Dr. Bruce J. Gluckman, Krasnow
Institute, Mail Stop 2A1, George Mason University, Fairfax, VA 22030. E-mail: bgluckma{at}gmu.edu.
 |
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