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The Journal of Neurophysiology Vol. 88 No. 2 August 2002, pp. 676-691
Copyright ©2002 by the American Physiological Society
1Biophysics Sector and 2Istituto Nazionale Fisica della Materia Unit, International School for Advanced Studies (SISSA), 34014 Trieste; and 3Department of Mathematics, Avogadro University of Western Piedmont, 13100 Vercelli, Italy
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ABSTRACT |
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Rozzo, Aldo,
Laura Ballerini,
Gilda Abbate, and
Andrea Nistri.
Experimental and Modeling Studies of Novel Bursts Induced by
Blocking Na+ Pump and Synaptic Inhibition in the Rat Spinal
Cord.
J. Neurophysiol. 88: 676-691, 2002.
This study addressed some
electrophysiological mechanisms enabling neonatal rat spinal networks
in vitro to generate spontaneous rhythmicity. Networks, made up by
excitatory connections only after block of GABAergic and glycinergic
transmission, develop regular bursting (disinhibited bursts) suppressed
by the Na+ pump blocker strophanthidin. Thus the
Na+ pump is considered important to control
bursts. This study, however, shows that, after about 1 h in
strophanthidin solution, networks of the rat isolated spinal cord
surprisingly resumed spontaneous bursting ("strophanthidin
bursting"), which consisted of slow depolarizations with repeated
oscillations. This pattern, recorded from lumbar ventral roots, was
synchronous on both sides, of irregular periodicity, and lasted for
12 h. Assays of 86Rb+
uptake by spinal tissue confirmed Na+ pump block
by strophanthidin. The strophanthidin rhythm was abolished by glutamate
receptor antagonists or tetrodotoxin, indicating its network origin.
N-methyl-D-aspartate (NMDA),
serotonin, or high K+ could not accelerate it.
The size of each burst was linearly related to the length of the
preceding pause. Bursts could also be generated by dorsal root
electrical stimulation and possessed similar dependence on the
preceding pause. Conversely, disinhibited bursts could be evoked at
short intervals from the preceding one unless repeated pulses were
applied in close sequence. These data suggest that rhythmicity
expressed by excitatory spinal networks could be controlled by
Na+ pump activity or slow synaptic depression. A
model based on the differential time course of pump operation and
synaptic depression could simulate disinhibited and strophanthidin
bursting, indicating two fundamental, activity-dependent processes for
regulating network discharge.
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INTRODUCTION |
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Spinal networks can generate a
range of rhythmic electrical discharges comprising oscillations and
bursting via intrinsic central pattern generators (CPGs; Marder
and Calabrese 1996
), which are thought to play an important
role in the development of network connectivity (Feller
1999
). A characteristic rhythmic pattern, readily studied in
model preparations like the neonatal rat spinal cord in vitro, is
fictive locomotion, which consists in rapidly alternating ventral root
(VR) oscillations evoked by bath-applied excitatory substances
(reviewed by Kiehn and Kjaerulff 1998
; Kiehn et
al. 2000
) or by dorsal root (DR) stimuli (Marchetti et
al. 2001a
). During fictive locomotion, the CPG expresses a rhythmic excitatory drive, mainly of glutamatergic nature, with alternating discharges due to patterned inhibition mediated by glycine
and GABAA receptors.
Conversely, a distinct, rhythmic spinal activity develops spontaneously
when glycine and GABAA receptors are blocked
(Bracci et al. 1996a
). This pattern, termed disinhibited
bursting, is made up by synchronous, regular, slow bursts with
intraburst oscillations. Multi-site recordings from organotypic slice
cultures have shown that disinhibited bursting is due to a wave of
excitation caused by firing of spontaneously active neurons in the
ventral horn and spreading widely through the spinal network via
recurrent excitation (Tscherter et al. 2001
), while the
dorsal horn is not implicated in this phenomenon (Ballerini et
al. 1999
). Although the question of whether fictive locomotion
and disinhibited bursting are generated by the same CPG is not fully
resolved, current evidence favors a common rhythmogenic network
(Beato and Nistri 1999
) and accords with the notion that
each segment of the spinal cord contains a unit burst generator coupled
to other segments to express rhythmicity (Grillner et al.
1991
). The strength of intersegmental excitatory (Beato
and Nistri 1999
) or inhibitory (Marchetti and Nistri
2001
) connections is variable and can be changed by
neuromodulators (Marchetti and Nistri 2001
). While the
disinhibited rhythm is clearly unable to support locomotion (even
though it generates rhythmic muscle contractions; Tscherter et
al. 2001
), it remains an interesting paradigm to study the
mechanisms enabling a mammalian spinal CPG (functionally made up by
excitatory connections only and with preserved cytoarchitecture) to
generate spontaneous bursts and to control their duration. A similar
approach has also been used to study network bursting in the rat
hippocampus (Staley et al. 2001
; Traub and Miles
1991
).
Former studies of bursting activity in spinal (Fedirchuk et al.
1999
; Keefer et al. 2001
; Streit
1993
; Tabak et al. 2001
) or hippocampal
(Staley et al. 1998
, 2001
) networks in vitro have indicated synaptic depression to be important to control onset and
termination of burst episodes. Conversely, in the rat isolated spinal
cord, disinhibited bursting crucially depends on the electrogenic Na+/K+ pump activity,
because pharmacological block of this transporter completely disrupts
regular rhythmicity (Ballerini et al. 1997
). Recent
preliminary experiments, however, indicated that, after a long period
(about 1 h) of burst suppression by pump inhibitors, a novel type
of spontaneous bursting emerged (Rozzo et al. 2000
). This unexpected finding prompted us to investigate the properties of
this phenomenon, because it might help to understand the most basic
mechanisms responsible for rhythmicity. Hence, the aims of this study
were as follows: 1) to compare the electrophysiological properties of this late bursting with those of the standard
disinhibited rhythm and the respective weight of
Na+ pump activity versus synaptic depression;
2) to confirm, with biochemical methods, the effective
inhibition of the Na+ pump by a blocker like
strophanthidin; and 3) to develop a model, based on
experimental data, to describe the spontaneous rhythmicity of
excitatory networks in the rat spinal cord.
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METHODS |
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Experimental preparation, electrophysiology, and data analysis
Experiments were performed on thoracosacral spinal cord
preparations isolated from neonatal Wistar rats (5-7 days old) under urethane anesthesia (0.2 ml ip of a 10% wt/vol solution) as previously described (Bracci et al. 1998
). This procedure is in
accordance with the regulations of the Italian Animal Welfare Act and
is approved by the local authority veterinary service.
Each preparation was placed in a small recording chamber and
continuously superfused (7.5 ml · min
1) with
saline solution of the following composition (in mM): 113 NaCl, 4.5 KCl, 1 MgCl27H2O, 2 CaCl2, 1 NaH2PO4, 25 NaHCO3, and 11 glucose, gassed with 95%
O2-5% CO2 (pH 7.4 at room
temperature). Drugs were bath-applied via the superfusing solution.
DC-coupled VR recordings (usually L4,
L5, or L6 VRs) were
obtained with glass suction microelectrodes containing an Ag-AgCl pellet and filled with saline solution. Responses were amplified, digitized at 1 or 10 kHz using AxoScope software (Axon Instruments Inc., versions 7 and 8), displayed on a linear chart recorder, and
stored on hard-disk and on video tape for further analysis. As detailed
elsewhere (Beato and Nistri 1999
; Bracci et al.
1996a
,b
), the following parameters were measured when recording
bursting activity: time to plateau, plateau amplitude, burst decay
time, burst duration, interburst interval (period), and pause between bursts. Burst duration was measured as the time during which the VR
polarization level remained above a preset noise threshold, usually set
at 25 times the SD of baseline noise. We also measured the frequency of
oscillations within a single burst. Data were quantified as means ± SD with n = number of preparations (unless otherwise
indicated). For each preparation, data analysis was based on the
average of
10 burst episodes. Statistical significance was assessed
with the Student's t-test or analysis of variance (ANOVA),
depending on whether data were normally or not normally distributed.
The accepted level of significance was P = 0.05.
DR electrical stimuli, delivered via miniature bipolar suction
electrodes, were employed to elicit evoked VR responses (recorded from
the ipsilateral VR of the same segment). In all instances, stimulus
intensity (1-to 20-V range; 0.1-1 ms duration) was calculated in terms
of threshold (Th), defined as the minimum intensity to elicit a
detectable response from the homolateral VR (on average Th = 1.9 ± 0.6 V; n = 7). DR compound action
potentials were recorded from one severed end of isolated DRs while the
other end was stimulated (1 Hz; 0.1 ms; 7-10 × Th) and averaged
from
30 responses. VR responses to train of DR stimuli were measured
as recently reported (Barbieri and Nistri 2001
).
Na+/K+ pump activity
This activity was biochemically assayed according to the method
by Longo et al. (1991)
, using, as an index, the
transport of radioactive Rb+
(Rb86; Amersham Pharmacia Biotech), because the
Na+/K+ pump does not
discriminate between K+ and
Rb+ and can thus transport
Rb86 into cells.
For this purpose, spinal slices (350-400 µm thick) were cut in
ice-cold solution with a Vibratome and allowed to recover for
1 h
before use. The slices were preincubated (at room temperature) in
control solution (normal saline solution) or in the presence of
Na+ pump blockers (4 µM strophanthidin or
50-200 µM ouabain) for different times (30-60 min), after which 0.1 mM Rb86 was added. Rb86
initial specific activity was 37 MBq/ml and was calculated just prior
to use on the basis of Rb86 half-life (18.7 days). After 1.5-11.5 min of Rb86 incubation,
slices were collected and washed three times in isotonic saline
solution (NaCl 150 mM, ice cold), to remove the isotope from the
extracellular space. The slices were transferred into 1.5-ml tubes and
dissolved with NaOH (0.2-0.5 N, 500 µl). Radioactivity was measured
with a
counter and referred to the amount of protein content
measured with a spectrophotometric assay (BioRad protein assay, based
on the Bradford dye-binding procedure; Bradford 1976
). Heat-inactivated (55°C for 60 min) spinal cord samples were used to
assess nonspecific Rb86 binding.
In control conditions, Na+ pump activity was
expressed as total Rb86 uptake (without addition
of blockers) after subtracting nonspecific binding. Any residual
Rb86 signal left in the samples in the presence
of saturating concentrations (50-200 µM) of the irreversible
Na+ pump inhibitor ouabain was used to measure
Rb86 accumulation into cells via pump-independent
mechanisms (mainly passive distribution). To correlate
electrophysiological data with Na+ pump
inhibition, Rb86 uptake was measured after 30-60
min incubation with 4 µM strophanthidin (the concentration used for
all electrophysiological experiments). Since ouabain induces a gradual
increase in neuronal conductance (Willis et al. 1974
)
and loss of electrical responses (Ballerini et al.
1997
), electrophysiological experiments on long-term inhibition of the Na+ pump were carried out in the presence
of strophanthidin.
Modeling of spinal network activity
In accordance with the study by Tabak et al.
(2000)
, model equations were implemented within XPPAUT (freely
available software by G. B. Ermentrout,
http://www.pitt.edu/~phase/), a general purpose interactive package
for numerically solving and analyzing differential equations. XPPAUT
includes a tool for calculation of bifurcation diagrams (AUTO).
Simulations were performed using the Runge-Kutta integration method
with a time step of 0.1 (dimensionless units). We confirmed that the
results were unchanged when the time step was 0.01. Simulations were
run on Linux PC.
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RESULTS |
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Na+ pump inhibition
Our previous experiments have demonstrated that 4 µM
strophanthidin fully disrupts disinhibited bursting (Ballerini
et al. 1997
). This treatment was adopted also for the present
study, but it required prior validation that Na+
pump activity was effectively inhibited under the present experimental conditions. The spinal cord Na+ pump activity was
measured in terms of its ability to accumulate Rb86 (Bowen 1992
; Longo et
al. 1991
) in control solution and in the presence of saturating
concentrations of ouabain (50-200 µM; 30-60 min) or strophanthidin
(4 µM; 30-60 min). Because data at 30- and 60-min incubations with
each blocker were the same, they were pooled together. Likewise, as
there was no difference between the effect of ouabain at 50 or 200 µM
concentrations, results were also pooled together.
The time profile plot of Fig. 1 shows that, in control conditions, spinal cord slices took up Rb86 linearly during the first 12 min. In the presence of 50-200 µM ouabain, Rb86 uptake was strongly inhibited (P < 0.0001), leaving only a small residual activity most likely reflecting passive redistribution of this isotope. In the presence of strophanthidin (4 µM), Rb86 accumulation was also significantly (P < 0.0001) smaller than in control and was as low as the one observed with ouabain, confirming that pharmacological treatment with strophanthidin fully inhibited Na+ pump activity. To infer the contribution by Na+ pump block to excitability of spinal pathways, we next studied the effect of strophanthidin on synaptic transmission induced by DR stimuli in control saline.
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Strophanthidin-induced effects on electrically evoked synaptic transmission
We first examined the action of 4 µM strophanthidin on VR responses induced by single pulses (one every 30 s) applied to one DR at the same segmental level. While the average size of the compound action potential recorded from isolated DRs was unaffected (97 ± 16%; n = 7), neither the peak of the VR reflex nor the magnitude of the late reflex component was changed (112 ± 29% and 97 ± 33%, respectively; stimulus = 5 × Th; n = 10). Associated changes in VR polarization level were 0.42 ± 0.31 mV (n = 10).
Substantial changes were, however, observed when standard protocols for
DR stimulus trains (1 Hz, 20 pulses, 1 ms, 10 × Th, applied after
about 30 min in strophanthidin solution; Barbieri and Nistri
2001
; Sivilotti et al. 1993
), as exemplified in
Fig. 2A in which averaged VR
responses in control or strophanthidin solution, are superimposed. The
amplitude of cumulative depolarization was largely reduced by
strophanthidin while the half decay time was significantly prolonged as
quantified in Fig. 2, B and C. In control saline,
after the first two responses to the train, cumulative depolarization
developed biphasically with an initially higher rate of rise, which
then slowed down (Barbieri and Nistri 2001
; Sivilotti et al.
1993
). In strophanthidin solution, the rate of rise was as slow
as the late phase in control solution (Fig. 2D). These
changes might have been partly or wholly due to the neuronal
depolarization developed in the presence of strophanthidin. To check
for this possibility, we investigated the effect of NMDA (4 µM;
n = 5), which induced comparable baseline
depolarization. In the presence of NMDA, the cumulative depolarization
amplitude was 0.35 ± 0.11 mV, a value similar to the one in the
presence of strophanthidin (see Fig. 2B). Nevertheless, in
NMDA solution, the rate of rise of cumulative depolarization remained
biphasic and its half decay time was 16.8 ± 4.8 s, a value
analogous to control (see Fig. 2C).
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In summary, Na+ pump inhibition had no effect on impulse conduction and only a modest one on polysynaptic responses at low stimulus rate. With stimulus trains at 1 Hz, Na+ pump inhibition largely reduced cumulative depolarization; it linearized its development and lengthened its decay time. The latter two effects were not due to network depolarization induced by strophanthidin. Our observations indicate that in control conditions, operation of the Na+ pump enabled early, rapid response summation because it presumably played a role in maintaining ionic gradients despite intense excitation.
Strophanthidin-induced late bursting
Application of strychnine (1 µM) plus bicuculline (20 µM)
generates regular disinhibited bursting (Bracci et al.
1996a
) as exemplified by records in Fig.
3A. In accordance with
previous results (Ballerini et al. 1997
), strophanthidin
(4 µM) suppressed a disinhibited bursting within 10 min from the
start of application (data not shown). Slow bursts were replaced by
irregular, short-lasting discharges of varying amplitude while VRs
depolarized to a stable level. However, in this study, when the
application of strophanthidin was prolonged long after bursting
suppression (approximately 1 h), bursting appeared as shown in
Fig. 3B (same preparation as in Fig. 3A). This
novel pattern was termed strophanthidin bursting, and because
experimental conditions did not differ from those of our previous study
(Ballerini et al. 1997
), the only condition to observe
its emergence was sustained exposure (1 h or more) to strophanthidin
solution. Appearance of strophanthidin bursting eliminated the
fragmented discharges left from the disruption of the disinhibited
rhythm, indicating that these two activities could not co-exist.
Strophanthidin bursting was observed in 130 preparations with a latency
of 60 ± 10 min from the application of this drug.
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Figure 3, C and D, (time base faster than in A and B) contrasts, for the same preparation, the properties of a typical disinhibited burst (C) with those of a strophanthidin burst (D), which had longer duration (see slower time calibration), reduced plateau amplitude (see different voltage scale), different frequency of intraburst oscillations, and slower decay. These properties are summarized in Table 1 for a random sample of seven spinal cords. It is noteworthy that periodicity of strophanthidin bursting was characterized by a very large CV value, indicating its irregular occurrence, unlike the low CV value for disinhibited bursting. Strophanthidin bursts contained rhythmic oscillations present throughout most of each burst episode and displaying periodicity similar to the one of disinhibited burst oscillations, although with higher CV values that reflect the considerable slowing down of the oscillation frequency toward the end of each burst.
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The characteristic features of strophanthidin bursting led to further analysis of the underlying mechanisms, because they could cast light into the processes enabling regular network rhythmicity.
Figure 4 (top row) shows
histograms relative to 107 consecutive events of strophanthidin
bursting recorded from one preparation with stable activity for
12 h.
Note that burst periodicity, duration, and amplitude were widely
distributed. We then attempted to study if there was any correlation
between various parameters of strophanthidin bursts. Figure 4
(bottom row) shows plots of burst amplitude, preceding
pause, or subsequent pause versus burst duration for the same data
shown in Fig. 4 (top). Burst duration was strongly correlated to burst amplitude and to the length of the preceding pause,
but not to its subsequent pause. Thus burst duration, which should
reflect the length of synchronous network discharges, depended on the
extent of neuronal recruitment (i.e., burst amplitude), was shaped by
network activity during the preceding pause, and had little influence
on subsequent interburst behavior.
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Strophanthidin bursts retained some aspects of disinhibited bursts like
abrupt onset (see Fig. 3, C and D) and
synchronous occurrence at segmental and inter-segmental level when
recorded bilaterally from
L2-L5 VRs (data not
shown). Furthermore, strophanthidin bursting was not due to gradual
metabolic disturbance of the spinal cord, reflecting the deleterious
effects of sustained Na+ pump inhibition. In
fact, this form of bursting was continuously observed for
12 h
without significant change in burst characteristics. In particular,
bursts after 1-2 h in strophanthidin solution were as large as those
after about 12 h (0.8 ± 0.4 and 0.9 ± 0.4 mV, respectively; n = 10), had similar periodicity
(383 ± 209 and 508 ± 267 s, respectively) and average
duration (130 ± 70 and 177 ± 75 s, respectively).
Pharmacology of strophanthidin bursting
Such an activity was completely dependent on intact glutamatergic transmission because application of a mixture of the AMPA/kainate receptor antagonist 6-cyano-7-nitroquinoxaline-2,3-dione (CNQX) (10 µM) and the NMDA receptor antagonist D-APV (50 µM) rapidly and completely abolished bursting (n = 8). CNQX (10 µM) largely depressed bursting as shown by the continuous slow trace in Fig. 5A. VR discharges could still be evoked by strong (5 × Th) DR stimuli (see asterisks in Fig. 5A). This block was, however, reversible after a few minutes of washout of CNQX (see last event in Fig. 5A). Similar data were obtained from eight preparations.
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Figure 5B shows an example of the reversible blocking action of D-APV (50 µM) on bursting activity, although DR stimulation (5 × Th; asterisks) could still evoke VR discharges. During washout of D-APV, DR stimuli generated bursts again while recovery of spontaneous bursting was obtained a few minutes later (data not shown). Similar data were obtained from nine preparations. Strophanthidin bursting was promptly suppressed by tetrodotoxin (TTX; 0.25-1 µM; n = 8) without leaving any residual, spontaneous, or evoked activity recorded from VRs. Likewise, in the presence of CNQX (10 µM) and D-APV (50 µM), there was neither spontaneous nor electrically evoked activity. The gap junction blocker carbenexolone (200 µM) did not inhibited bursting (n = 4). These observations indicate that strophanthidin bursting was a network-mediated phenomenon, required intact glutamatergic transmission, and was conveyed to motoneurons via spike-dependent activity.
We also investigated if strophanthidin bursting could be up-regulated
by excitatory agents like NMDA (4-6 µM; n = 9),
serotonin (4-12 µM; n = 8), or high
K+ (5.5-8.5 mM; n = 5), all of
which evoke fictive locomotor rhythms (Kiehn et al.
2000
) and accelerate disinhibited bursting (Bracci et
al. 1996b
, 1998
). Each one of these treatments produced a
stereotypic response consisting of a burst that reached plateau, lost
its oscillations, and remained depolarized as long as the excitatory agent was applied. Recovery to baseline and return of spontaneous bursting was, however, always obtained after washout. Despite fine
titration of the concentration range of these excitatory agents, it was
never possible to maintain bursting or to avoid the subsequent
depolarization plateau. Hence, concurrent block of
Cl
mediated inhibition and of the
Na+ pump caused spinal networks to respond to
bath applied agents with a large, sustained depolarization. Because
excitatory agents did not modulate bursting, we wondered whether a
brief and potent activation of the spinal network by synaptically
released transmitters could. To explore this issue, we examined the
effect of DR stimulation on strophanthidin bursting.
DR stimulation during strophanthidin bursting
We first tested the effect of a single DR stimulus on VR discharges. Figure 6 compares the excitability of the same preparation stimulated with just one DR pulse (1 × Th) under various experimental protocols. In control solution this stimulus generated a threshold response (Fig. 6B), which is better seen at high gain (Fig. 6A). During a pause between disinhibited bursts recorded later from the same preparation, an identical pulse now generated a large burst (amplitude = 1.45 mV; duration = 9.4 s) with superimposed oscillations (Fig. 6C), while smaller stimuli were ineffective. During a pause between strophanthidin bursts, the same pulse also generated a large burst (amplitude = 1.32 mV) with repeated oscillations and with long duration (157.8 s; Fig. 6D). Thus, in the continuous presence of strophanthidin (plus strychnine and bicuculline), spinal networks displayed the same excitability threshold to afferent stimuli as they had in the presence of strychnine and bicuculline alone.
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Figure 7, A and B, shows that DR-evoked bursts depended on the length of the preceding interburst interval. This phenomenon is quantified in Fig. 7C for the same preparation illustrated in Fig. 7, A and B: the correlation between burst amplitude and preceding silence was very similar for spontaneous and evoked bursts. However, evoked bursts (the amplitude of which was measured at the event plateau vs. baseline) were on average significantly larger (and longer) than spontaneous ones (Fig. 7D) once analogous interburst intervals were observed. Similar data were obtained with three other preparations.
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Figure 8 shows that, on the same preparation during strophanthidin bursting, changing stimulus intensity from 3 × Th to 5 or 8 × Th strongly accelerated the average intraburst oscillation frequency (from 0.3 to 0.5 or 0.6 Hz, respectively). In conjunction with such an oscillation frequency increase, there was an associated rise in background discharge activity developing in the troughs between oscillatory peaks. In fact, whereas at 3 × Th intensity oscillation peaks were followed by relatively quiet phases, with stronger stimuli the asynchronous discharge activity rose largely. Pooling data from a sample of preparations tested with a close range of stimulus intensities indicated that for 3-4 × Th stimuli, the intraburst oscillation frequency was 0.45 ± 0.1 Hz, while for 6-8 × Th stimuli, the oscillation frequency was 0.67 ± 0.16 (n = 5; P < 0.007). There was, however, no significant change in burst duration or amplitude. These average oscillation frequencies are somewhat lower than those found during spontaneous bursts (Table 1). Single DR pulses therefore generated standard bursts with frequency modulation of their oscillations.
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Previous experiments have indicated that disinhibited bursts can be
entrained, on a 1:1 basis, by a train of DR pulses applied at various
frequencies (Bracci et al. 1997
). We next examined if
strophanthidin bursting could show similar properties. Figure 9, A and B, shows
examples of responses induced by electrical stimuli applied every 45 or
15 s. At the lower frequency (Fig. 9A; asterisks mark
electrically evoked responses), the first pulse induced a burst while
subsequent ones evoked shorter VR discharges (comprising one or more
events) superimposed on a declining baseline. At the higher frequency
(Fig. 9B), pulses (after the first one) elicited a single
discharge made up by a fast transient followed by a slow component,
riding over a persistent baseline depolarization. Figure 9C
shows the relative amplitude of slow responses (measured from the
immediately preceding level of VR polarization) for a series of DR
pulses at varying frequency. Despite changing frequency, each pulse
generated a slow response that remained at relatively stable amplitude
throughout the stimulus train. When the pulse interval was set at
45 s, spontaneous bursts could occasionally appear (as shown by
the filled circle in Fig. 9C), but never in coincidence with
the earliest part of the evoked event. At the faster rates of
stimulation, spontaneous bursts did not appear. Collectively, these
results suggest that, during strophanthidin bursting, spinal networks
could be entrained to generate synaptic discharges in response to
repeated stimuli.
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Studies carried out on organotypic spinal cultures (Streit
1993
) and the chick embryo spinal cord (Tabak et al.
2000
) have indicated that one important mechanism to ensure
burst termination is synaptic depression, which is responsible for
reducing excitability of spinal networks between burst episodes. It
appeared therefore necessary to explore whether an analogous process
might have played a major role in spontaneous rhythmic activity of the
neonatal rat spinal cord. Figure
10A shows that, for
disinhibited bursting, a single DR pulse (5 × Th), applied
immediately after the end of the intraburst oscillation as soon as the
burst started decaying back to baseline, promptly induced another burst
with initial fast peak, sustained firing, and oscillations. On average,
we found that the duration of bursts electrically evoked immediately after spontaneous disinhibited bursts was 92.2 ± 19.9%
(n = 10). However, as previously reported by
Bracci et al. (1997)
, when electrical pulses were
repeatedly applied, subsequent bursts became shorter (from 4.2-2.3 s)
although their amplitude was similar (1.90, 1.79, and 1.76 mV,
respectively, vs. 1.94 mV control; Fig. 10B). Hence, a
phenomenon similar to synaptic depression could appear in the
disinhibited neonatal spinal cord, but it had a time course slower than
the duration of a standard disinhibited burst. It is worth noting that,
under our experimental conditions, other processes like metabolic pump
activities or persistent changes in voltage-dependent ionic currents
might have mimicked a condition looking like slow synaptic depression.
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Conversely, a single pulse of similar intensity applied near the end of a strophanthidin burst generated a burst of similar peak amplitude (0.610 vs. 0.605 mV, respectively), but of much shorter duration (59.6 vs. 90.0 s, respectively) and lacking oscillations (Fig. 10C; same preparation as in A and B). On average, the duration of strophanthidin bursts electrically induced immediately after spontaneous ones was 43.4 ± 22.2% (n = 5; P < 0.05).
Modeling
We assumed that the same interneuron network (made up by excitatory connections only because of pharmacological block of fast synaptic inhibition) was responsible for either disinhibited or strophanthidin bursting. In fact, it seemed advantageous to seek a unitary theory to account for both bursting modes intended as state variations taking place within the same network.
Minimum requirements for the present model to simulate disinhibited as
well as strophanthidin bursting were as follows: 1) ability
to produce oscillatory bursts with distinctive properties depending on
the different pharmacological treatment, and 2) generation of characteristic bursts when the network excitability was suddenly raised to mimic afferent fiber stimulation. The difference in intraburst frequency between strophanthidin and disinhibited bursts (Table 1) was mathematically accounted for by a change in the temporal
characteristics of the network system, although identification of
underlying cellular processes will need future experimental work.
Additionally, we considered that duration of simulated bursts had to be
related to the preceding silent interval observed experimentally (Fig.
4; Tscherter et al. 2001
). Furthermore, we supposed that slow neuronal depression (perhaps due to gradual build-up of synaptic fatigue; Tabak et al. 2000
) was contributing to ending a
single strophanthidin burst rather than a single disinhibited burst
(see experiments with electrical DR stimuli; Fig. 10). Indeed, after each spontaneous disinhibited burst, one state characteristic of the
network was its rapid recovery of excitability, which we proposed to be
due to Na+ pump operation.
As a starting point, we applied the model derived from bursting of the
chick embryo spinal cord (Tabak et al. 2000
) to our data. However, unless an extra variable was added, that model was
unable to simulate disinhibited rhythms. Our own model relied on two
ordinary differential equations to display various dynamic network behaviors.
The system was represented by the following equations
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(1) |
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(2) |
a and
d,
their time constants; n, the fraction of synapses unaffected
by slow depression; s, the fraction of neurons inhibited as
a consequence of Na+ pump activity;
, the
neuronal firing threshold (presumed to be constant); and
ka, the sigmoid function slope. When
applied to d, threshold and slope become
d and Kd.
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The average neuronal activity expressed as a (at time
t) generated a series of signals returning to the same cells
as n · d · a, that is, their
neuronal input was inclusive of some activity-dependent loss of
synaptic activity. The effective input fed back to the network then
became (1
s) · n · d · a. The value n(1
s)
represented the overall number of synapses and neurons available for
network activity. The variables d, n, and
s could be described by sigmoidal functions (Tabak et
al. 2000
).
If the system relied on a and d only, the
solution depended on the value of the following parameters:
a,
d,
n(1
s),
,
d,
ka, and
kd. By plotting a versus
d, we could show three basic network states when
n(1
s) decreased from left to right
(Fig. 11A).
In particular, in Fig. 11A (left),
n(1
s) was sufficiently large so that the
system displayed a stable cycle, as indeed should occur during a burst
when the system follows the frequency of intraburst oscillations. The
middle shows that, when n(1
s) was getting smaller, there was a region of bistability in which the
system could either continue oscillating or switch off. In the latter
case, it was possible to evoke a burst when the system was turned off
as the stimulus made the network to return to the excited state. The
right panel of Fig. 11A shows that when
n(1
s) was very small, there was only one
stable state corresponding to the pause observed between bursts. The
system therefore shifted among these three states during both
disinhibited and strophanthidin bursting, although the speed of
transition in the case of strophanthidin bursting was considerably
slower. The transition between the three states could be described with
differential equations for n and s, although for
strophanthidin bursting the value of s became minimal.
It is assumed that Na+ pump operation could not
immediately inhibit network discharges because it required a certain
time to re-establish ionic gradients to generate neuronal
hyperpolarization. If there was modest neuronal activity, the pump work
required to obtain the correct ionic gradients was small and created a comparatively brief delay before the pump could repolarize neurons and
regenerate their excitability. If there was intense neuronal firing,
longer pump operation was necessary to reset the system to its ground
state. When the Na+ pump was pharmacologically
inhibited, the time required to inhibit burst discharge became much
longer, implied by an even slower process. In this framework, we may
therefore predict two distinct cases: disinhibited bursting with burst
termination due to s, and strophanthidin bursting with burst
termination due to n. Our approach does not exclude that
other solutions (for example changing the parameter J as in
Tabak et al. 2000
) may produce analogous modeling data.
The simulated neuronal system relies on a large number of constants,
not always validated experimentally, which means that bursting patterns
deduced from modeling are to be viewed as plausible states of the
network operation.
The equation describing n is as follows
|
(3) |
|
(4) |
|
(5) |
s(a),
representing the time constant for the process to obtain s,
is therefore crucial to determine the duration of disinhibited bursts.
Figure 11, B-D, compares the temporal changes in a, n, and s values simulated during disinhibited (left) or strophanthidin (right) bursting, while Table 2 shows the values assigned to the variables used for burst simulations. The values pertaining to the parameters a and d were increased in the case of strophanthidin bursting to reflect the objectively longer duration of such bursts (indicative of persistent network discharge, a), and their stronger dependence on synaptic depression (shown by data in Fig. 10C).
|
Inspection of Fig. 11, B-D, (left) indicates
that, in the case of disinhibited bursting, when a was
elevated (during the oscillatory phase of a disinhibited burst), the
value of
s(a) was large so that the peak value of s (i.e., inhibition of a substantial
fraction of neurons) was rather slowly reached. When s
reached a value critical to suppress bursting (corresponding to the
large value of ms, data not shown),
a became quite small and the burst terminated. Figure
12A reveals that the present
model could generate spontaneous regular discharges similar to recorded
disinhibited bursts, although simulated bursts lacked the short plateau
phase with elevated firing just before the oscillatory phase. Figure
12B shows that, at the end of a spontaneous disinhibited
burst, a single electrical stimulus (indicated by an asterisk and
mimicking the experimental protocol shown in Fig. 10A)
elicited a burst shorter but otherwise similar to the previous one (as
observed experimentally in Fig. 10A), because at this time
point the value of
s(a) had
become sufficiently small (see Fig. 11D, left).
However, a further stimulus (see Fig. 12B) induced an even
shorter burst (compare it with experimental data in Fig.
10B). The reason for the ability of the network to produce
bursts following repeated stimuli lies in the relatively small and slow
variation in n value during a single disinhibited burst
(this value is shown superimposed on bursting activity; Fig. 12). With
closely repeated bursts induced by electrical pulses, n
(despite its slow change) could reach a value sufficient to reduce
network activity (see Fig. 10B for experimental data and Fig. 12B for simulated ones).
|
In the case of strophanthidin bursting (Fig. 11, B-D, right; note time scale slower than in left), ms was small because of Na+ pump inhibition. Thus the variable responsible for burst termination became n (Fig. 11C, right) as the number of active synapses fell below a certain value. The slow recovery of n influenced the time necessary to reset the network for subsequent bursting and presumably played a role in the observed correlation between pause and burst size (see Fig. 4). It is noteworthy that our modeling approach did not include the long transition phase of irregular asynchronous activity before strophanthidin bursting developed. Thus our simulation brought about a sudden conversion of bursting mode from disinhibited patterns to strophanthidin-type patterns. We can only surmise that the ms value became gradually smaller as the Na+ pump activity was blocked and another transport mechanism slowly emerged. At steady-state conditions ms was assigned a small, yet finite value (0.1).
Simulated data for strophanthidin bursting (Fig. 12C) show that an electrical pulse (marked by a asterisk) shortly after the burst end could evoke a small burst only. In practice, the end of one strophanthidin burst was apparently determined by the number of excitatory synapses remaining active. Note that the present model could not simulate the irregularity of strophanthidin bursting because it was based on a system of ordinary differential equations which, by definition, is deterministic. It would be possible to add a stochastic variable to this model to describe the high variability of strophanthidin bursting. Nevertheless, as this approach would simply bring a further variable into the model and would not improve its ability to describe burst evolution and termination, it was not further pursued.
Finally, it should be considered that the network output was measured
via motoneuron discharges (via VRs), and thus our readout was an
indirect index of the interneuronal activity responsible for bursting
(Bracci et al. 1996a
; present data with glutamate receptor blockers or TTX). This condition inevitably distorts the real
behavior of interneurons, but it has the experimental advantage of
showing the integrative properties of the network at its final output
stage and of demonstrating the signal sent to peripheral targets.
Simulated behavior depicted in Figs. 11B and 12 reflects
interneuronal activity (not their average membrane potential changes
that remain unknown even experimentally), which might follow a time
course different from the changes in VR polarization level integrating
the average membrane potential of motoneurons and their axons. This
condition may explain, for example, the slower decay of recorded bursts
versus simulated ones. It seems likely that motoneuron intrinsic
properties conferred this characteristic component to the bursting event.
| |
DISCUSSION |
|---|
|
|
|---|
The principal finding of this study is the report of a new type of
spontaneous activity (termed strophanthidin bursting) displayed by the
neonatal rat spinal cord following block of
Cl
-mediated inhibition and
Na+ pump operation. This novel bursting was a
long-lasting, network-mediated phenomenon apparently dependent on
slowly developing synaptic depression within an excitatory network,
indicated by experimental and modeling data. Strophanthidin bursting
therefore seemed to be a very elementary form of synchronized network
discharge, which is useful to understand the basic processes
responsible for rhythmogenic activity in this area of the mammalian CNS.
Strophanthidin, an effective inhibitor of the Na+ pump, shaped VR responses to repeated DR stimuli
The similar effects of ouabain (strong, irreversible inhibitor of
Na+/K+ ATPase) and
strophanthidin on 86Rb+
uptake (Longo et al. 1991
) indicated that
Na+ pump activity was fully blocked with short or
long incubation by either glycoside. This result was relevant to the
present electrophysiological experiments because the electrogenic pump
was as much inhibited after 30 min of 4 µM strophanthidin incubation,
when the disinhibited rhythm was completely disorganized, as it was
after 60 min when the new spontaneous pattern appeared.
In accordance with previous data (Ballerini et al.
1997
), strophanthidin application per se did not elicit
spontaneous rhythmicity and induced only a modest VR depolarization,
likely due to loss of the background hyperpolarizing pump current
(Li and Stys 2001
; Shen and Johnson
1998
). The insignificant effects of pump-activity block on DR
impulse conduction, reflex threshold, and amplitude when responses were
evoked at low stimulus rate suggest that, at room temperature, the role
of the pump on synaptic transmission in the absence of intense spiking
activity was small. However, with stimulus trains inducing strong
depolarization and repetitive firing, blocking the
Na+ pump operation with strophanthidin strongly
decreased cumulative depolarization, which grew monotonically at a slow
rate and decayed very slowly. Note that repeated stimuli at high rates
were not delivered when preparations were bathed in strophanthidin,
strychnine, and bicuculline solution.
It may be concluded that Na+/K+ ATPase activity normally limited network signal summation velocity and sped up recovery from persistent excitation. Thus after electrogenic pump block, the network was partly depolarized and generated slowly, incrementing excitation during high-frequency firing.
Comparing strophanthidin bursting with disinhibited bursting
The disinhibited rhythm (Ballerini et al. 1997
;
Bracci et al. 1996a
,b
) is, of course, unphysiological
for the neonatal rat spinal cord, because it appears after blocking
GABA and glycine-mediated inhibition, which in rodents, develops during
late embryonic life (at E18.5 and E20.5, respectively) to allow signal
alternation between motoneuron pools (Nishimaru and Kudo
2000
). However, blocking fast, chloride-mediated inhibition
largely simplifies the rhythmogenic network and enables preliminary
studies of the processes that allow a mammalian excitatory network
(with normal architecture) to develop and organize rhythmicity made up
of bursts with regular oscillations (Bracci et al.
1996a
,b
). Likewise, other immature spinal preparations without
inhibition generate rhythmic activity (Sernagor et al.
1995
). It should also be noted that, in embryonic life,
developing networks communicate via excitatory connections only
(Habets et al. 1987
; Jackson et al. 1982
)
and generate synchronous discharges believed to be essential for
pruning and sculpting neuronal circuits (Tosney and Landmesser
1985
). Hence, disinhibited rhythmicity resembles the early type
of collective network burst. As the output of all neurons in this
network is similar and synchronous, it can be regarded as the same
through various lumbar segments and representative of two network
states, namely strong firing during bursts and minimal firing during
pauses (in analogy with the rat hippocampus; Cohen and Miles
2000
). These characteristics are also useful to develop models
based on neuronal field operation (Staley et al. 2001
;
Tabak et al. 2000
; Tsodyks et al. 2000
).
In this study, one unexpected evolution of disinhibited activity, after about 1 h of strophanthidin application, was the emergence of very slow, spontaneous bursting, termed "strophanthidin bursting." When strophanthidin bursts were compared with disinhibited rhythm, they showed duration and inter-burst interval values one order of magnitude larger, while both activities were synchronous in all lumbar VRs. Although strophanthidin bursts were characterized by a smaller peak amplitude and were occurring very irregularly, burst episodes contained oscillations lasting longer than those observed during disinhibited bursts. As strophanthidin bursts did not gradually decline over several hours of continuous recording, their stability suggests lack of metabolic poisoning of spinal neurons during sustained Na+/K+ pump inhibition.
The transition from disinhibited to strophanthidin bursting went
through an intermediate stage of rapid discharges, replacing the slow
rhythm observed in strychnine and bicuculline. However, once
strophanthidin bursting was fully generated, these fast discharges completely disappeared. The most parsimonious hypothesis for this observation is that the same neuronal network, which generated disinhibited bursting, was converted into strophanthidin bursting mode.
This view accords with recent work indicating a surprising degree of
flexibility of spinal interneuronal networks with multifunctional character (Jankowska 2001
).
Mechanisms for delayed onset and maintenance of strophanthidin bursting delayed onset
Ion transport mechanisms other than the Na+ pump might have been facilitated to allow emergence of network bursting. Future studies should aim at clarifying their identity because this approach may shed light on the processes enabling a network to recover from disruption of rhythmicity. During this phase prodromic to strophanthidin bursting, presence of rapid electrical discharges suggested that the network was not fully inactivated by sustained depolarization.
Once bursting started, spinal neurons must have pumped out their
excessive Na+ load to preserve excitability. A
possible candidate for the mechanism of Na+
extrusion would be the electrogenic
Na+/Ca2+ exchanger
(Fujioka et al. 1998
). This process should lead to intracellular Ca2+ rise and facilitation of
neurotransmitter release, a phenomenon elegantly demonstrated in model
cells like chromaffin cells (Tang et al. 2000
). If a
similar process occurred in the rat spinal cord, it should have
stimulated glutamate release from network interneurons and contributed
to burst generation. Our experiments have, in fact, demonstrated (with
the use of glutamate receptor antagonists) that glutamatergic
transmission was essential for strophanthidin bursting. Within this
framework, an additional source of glutamate release might have been
the reverse operation of the glutamate membrane carrier that can take
place when the sodium pump is inhibited (Li and Stys
2001
). It is tempting to speculate that the combined activity
of these mechanisms designed to re-establish ionic gradients could also
enhance excitatory transmitter release and prompt the onset of
strophanthidin bursting.
Pharmacology of strophanthidin bursting
Since application of TTX completely inhibited spontaneous and
DR-evoked bursting, it appears that this activity was generated by the
interneuronal network and recorded via motoneuron pools. Although CPG
signals are usually transmitted to motoneurons via network spike
firing, it has been recently suggested that a stable motoneuron rhythm
could originate from synchronized oscillations of motoneurons coupled
via gap junctions (Tresch and Kiehn 2000
). As the
gap-junction blocker carbenexolone did not modify strophanthidin bursting, this communication process was not apparently needed under
the present conditions.
Whereas non-NMDA glutamate receptors alone are sufficient to drive the
disinhibited rhythm (Bracci et al. 1996a
), activation of
AMPA/kainate and NMDA receptors was necessary for strophanthidin bursting as demonstrated by the current experiments with the receptor antagonists CNQX or D-APV. After suppression of bursting by
either antagonist, strong DR pulses could still induce short VR
discharges, indicating that at least one class of excitatory synaptic
receptors remained functional at network level.
In the neonatal rat spinal cord, high K+, NMDA,
or serotonin are well-known excitatory agents to induce (alone or in
combination) fictive locomotion (Bracci et al. 1998
;
Cazalets et al. 1992
; Cowley and Schmidt
1997
; Kiehn and Kjaerulff 1996
; Kudo and
Yamada 1987
). These excitatory agents also decrease interburst
interval and burst duration during disinhibited rhythm (Bracci
et al. 1996a
,b
, 1998
).
During strophanthidin bursting, the same excitatory agents (NMDA, serotonin, or high K+), at a concentration sufficient to induce detectable VR depolarization, evoked a single large burst followed by a silent, stable plateau phase. Drug washout induced slow VR repolarization and subsequent recovery of spontaneous activity. Multi-site record