The Journal of Neuroscience, July 2, 2003, 23(13):5953-5962
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During Fictive Locomotion, Graded Synaptic Currents Drive Bursts of Impulses in Swimmeret Motor Neurons
Brian Mulloney
Section of Neurobiology, Physiology, and Behavior, University of
California, Davis, California 95616-8519
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Abstract
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During forward swimming, motor neurons that innervate each crayfish
swimmeret fire periodic coordinated bursts of impulses. These bursts occur
simultaneously in neurons that are functional synergists but alternate with
bursts in their antagonists. These impulses ride on periodic oscillations of
membrane potential that occur simultaneously in neurons of each type. A model
of the local circuit that generates this motor pattern has been proposed. In
this model, each motor neuron is driven alternately by excitatory and
inhibitory synaptic currents from nonspiking local interneurons. I tested this
model by perturbing individual interneurons and recording synaptic currents
and changes in input resistance from each class of motor neuron. I also
simulated the synaptic currents that would be observed in a cell subject to
different patterns of presynaptic input.
When the CNS was actively expressing the swimming motor pattern, changes in
the membrane potential of individual local interneurons controlled firing of
whole sets of motor neurons. Membrane currents in these motor neurons
oscillated in phase with the motor output from their own local circuit. The
phases of these oscillations differed in different functional classes of motor
neurons. In neurons that could be clamped at the reversal potential of their
outward currents, the model predicted that large periodic inward currents
would be recorded. I observed no signs of periodic inward currents, even when
the outward currents clearly had reversed.
These results permit a simplification of the cellular model. They are
discussed in the context of neural control of locomotion in crustacea and
insects.
Key words: graded transmission; synaptic inhibition; coordination; locomotion; nonspiking local interneuron; bursting
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Introduction
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When crayfish swim forward, the alternating power strokes and return
strokes of their four pairs of swimmerets provide the necessary thrust. These
periodic movements are driven by a centrally generated motor pattern
(Hughes and Wiersma, 1960
;
Ikeda and Wiersma, 1964
;
Davis, 1968
) that is expressed
as the coordinated activity of
600 motor neurons in four different
abdominal ganglia, 75 motor neurons per swimmeret
(Mulloney and Hall, 2000
).
These motor neurons fire bursts of action potentials at particular phases in
each cycle of movements (see Fig.
1A). How do these bursts arise, and why are they so well
coordinated?

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Figure 1. A,Extra cellular recordings of impulses in the axons of swimmeret
motor neurons recorded from the anterior branch (RS) and the posterior branch
(PS) of the single nerve that innervates one swimmeret. This activity occurred
spontaneously in an isolated ventral nerve cord, without pharmacological
excitation. PSE, Power-stroke excitor; RSE, return-stroke excitor; PSI,
power-stroke inhibitor; RSI, return-stroke inhibitor. B, A diagram of
the Skinner and Mulloney
(1998 ) model of the local
circuit that drives alternating bursts in PS and RS motor neurons. Three types
of nonspiking local interneurons (1A, 1B, 2A) make graded, monosynaptic
connections with particular pools of motor neurons (PSE, RSE). Each motor
neuron receives excitatory and inhibitory synapses that are active alternately
because of the proposed reciprocal inhibition of the local interneurons. Three
coordinating interneurons [ascending (ASC), descending (DSC)] are excited by
the same local interneurons. The gray connections are not considered directly
in this paper. Large open circles represent neurons; filled circles represent
inhibitory synapses; open triangles represent excitatory synapses. Numbers in
parentheses are the numbers of each type of neuron within each module.
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The motor neurons that innervate one swimmeret are part of a module located
in one-half of an abdominal ganglion. Each module includes four types of motor
neurons (Mulloney and Hall,
1990
,
2000
): 35 power-stroke
excitors (PSEs), 35 return-stroke excitors (RSEs), 2 power-stroke inhibitors
(PSIs), and 3 return-stroke inhibitors (RSIs). Each module also includes a
small set of nonspiking local interneurons, three intersegmental coordinating
interneurons, and many sensory afferents from the swimmeret
(Heitler and Pearson, 1980
;
Paul and Mulloney,
1985a
,b
;
Killian and Page,
1992a
,b
;
Namba and Mulloney, 1999
).
Bursts of spikes in each motor neuron ride on large oscillations of its
membrane potential. If chemical synaptic transmission is blocked, these
oscillations and impulses cease (Sherff
and Mulloney, 1996
).
The most effective synaptic input to motor neurons comes from the
nonspiking local interneurons in each module. Skinner and Mulloney
(1998
) proposed that within
each module three kinds of local nonspiking interneurons form a
pattern-generating circuit. According to this model, these interneurons also
drive the motor neurons with alternating excitatory and inhibitory synaptic
currents (see Fig.
1B), and these currents are responsible for the
coordinated firing of all the motor neurons. The model predicts, for example,
that each member of the PSE pool receives periodic excitation simultaneously
and that this excitation alternates with periodic inhibition. The model also
predicts that the RSE pool receives periodic alternating excitation and
inhibition, in antiphase with the inhibition and excitation of the PSEs.
In this paper, I demonstrate the control exerted by individual local
interneurons on the activity of the swimmeret system. I also use discontinuous
single-electrode voltage clamp (dSEVC) to examine the membrane currents that
underlie oscillations of membrane potential in swimmeret motor neurons. During
the phase of each cycle when the other members of their pool were silent, all
neurons examined received periodic inhibitory synaptic currents. I found no
evidence of periodic excitation in any of these neurons. At the point in the
cycle when a neuron was firing, its input resistance was greater than it was
when the neuron was silent. The results are not consistent with the
assumptions of the model. In light of these results, I propose a
simplification of our 1998 model that eliminates the periodic excitation of
swimmeret motor neurons. These results also suggest that the synaptic
organization of a swimmeret module is similar to that of the modules
controlling walking legs in crustaceans and insects and that these results
apply to locomotion in both phyla.
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Materials and Methods
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Crayfish, Pacifastacus leniusculus and Procambarus
clarkii, were obtained from a commercial supplier (Crayfish
International, Thornton CA) and maintained in aerated tanks of distilled water
at a temperature between 12 and 15°C. Crayfish saline consisted of (in
mM): 5.4 KCl, 2.6 MgCl2, 13.5 CaCl2, 195
NaCl, buffered with 10 mM Tris maleate at pH 7.4. Low Ca
2+high Mg 2+ saline consisted of (in
mM): 5.4 KCl, 52 MgCl2, 2.7 CaCl2, 117 NaCl,
buffered with 10 mM Tris maleate at pH 7.4. This low-Ca
2+ saline reversibly suppressed chemical synaptic transmission
(Sherff and Mulloney, 1996
;
Nakagawa and Mulloney, 2001
).
Our standard experimental solution contained either 1.5 or 3 µM
carbachol in crayfish saline; 3 µM is approximately the
ED50 of carbachol's excitation of the system
(Mulloney, 1997
). The
preparation was superfused continually with aerated saline at a rate of 3
ml/min and maintained between 17° and 19°C.
Isolated ventral nerve cord preparation. Crayfish were first
anesthetized on ice and then exsanguinated by replacing the hemolymph with
crayfish saline. After exsanguination, the abdominal nervous system was
removed from the animal and pinned out dorsal-side up on a Sylgard-lined dish.
This preparation included ganglia A1 through A6. The dorsal sides of ganglia
A2, A3, A4, and A5 were then desheathed with iridectomy scissors and forceps;
ganglia A2 through A5 innervate swimmerets used for swimming.
Extracellular recording. The peripheral axons of the return-stroke
(RS) and power-stroke (PS) motor neurons that innervate each swimmeret are
segregated into anterior and posterior branches, respectively, of N1, the
nerve that innervates the swimmeret
(Mulloney and Hall, 2000
). To
record their impulses selectively (Fig.
1), I used pairs of pin electrodes on each branch of N1. Each pair
of electrodes was connected through a switch-box to a stimulator and an
amplifier so that it could be used either to stimulate or to record activity
in the nerve. Signals from the pin electrodes were amplified, filtered, and
recorded on VCR tape and on disk.
Intracellular recording. Glass microelectrodes were filled either
with 2.5 M KAc + 0.1 M KCl + 5% Neurobiotin (Vector
Labs, Burlingame CA) or with 1.0 M KAc + 0.05 M KCl + 1%
3 kDa Dextran-Texas Red (Molecular Probes, Eugene OR). These electrodes had
resistances of
35 M
. Signals from microelectrodes were buffered
with an Axoclamp 2A or 2B amplifier (Axon Instruments, Union City CA),
recorded on a VCR tape, and digitized with a Digidata 1200B board controlled
by Clampex-8 (Axon Instruments).
Identification of swimmeret motor neurons. To record synaptic
currents in these neurons, I used sharp microelectrodes to impale their
processes in the lateral neuropil (LN), the anatomical locus of the
pattern-generating circuit (Mulloney and
Hall, 2000
). To identify a motor neuron as a PSE, RSE, PSI, or RSI
(Sherff and Mulloney, 1996
,
1997
), I recorded its impulses
simultaneously from the microelectrode and from one of the peripheral branches
of N1, the nerve that innervates the swimmeret. In an active preparation, PSE
and RSI neurons fire bursts of impulses at about the same time
(Fig. 1 A), but their
axons project out different branches so their impulses are recorded by
different peripheral electrodes. RSE and PSI neurons can be distinguished by
similar criteria. If antidromic stimulation of that branch then caused a
short-latency, abrupt spike with a well defined threshold, the identification
as a motor neuron was confirmed.
This paper reports the results of 24 experiments recorded from identified
motor neurons and 11 experiments recorded from identified non-spiking local
interneurons.
Identification of local interneurons. During an experiment,
nonspiking local interneurons were identified tentatively by physiological
criteria. These neurons showed no evidence of action potentials. When the
preparation was expressing the swimmeret motor pattern, the potentials of
these neurons oscillated in phase with the swimmeret system. Each interneuron
reported here was filled with Neurobiotin (Vector Laboratories) or 3 kDa
Dextran-Texas Red (Molecular Probes) during the experiment to confirm its
identity using anatomical criteria (Paul and Mulloney,
1985a
,b
).
Discontinuous current clamp and single-electrode voltage clamp. To
minimize the limiting effects of electrode capacitance on sampling rates
during discontinuous current clamp (DCC) and dSEVC, I filled only the tip of
the electrodes, coated the tip with Sylgard, used low-capacitance holders with
a chlorided-silver wire in the shank, and kept the level of saline above the
ganglion as low as possible. In DCC and dSEVC modes, the settling time of the
microelectrode between each current pulse was continually monitored on a
dedicated oscilloscope. The sampling rate of the clamp circuit was adjusted to
compensate for microelectrodes of different capacitance; 5 kHz was normally
achieved. The clamp potential was controlled manually using the
holding-position potentiometer of the clamp circuit. Currents were measured
and recorded using the internal circuitry of the Axoclamp amplifier.
Two methods were used to isolate synaptically driven currents from the rest
of the currents of a neuron. In experiments in which I recorded the membrane
currents of a neuron both when the system was actively expressing the swimming
motor pattern and then when the system was inactive, I subtracted the mean
current recorded at each clamp potential during the inactive episode from the
current recorded at that potential when the system was active. In experiments
in which I recorded the currents of a neuron only when the system was active,
I calculated the mean current recorded at each clamp potential and subtracted
this mean current.
In two-microelectrode experiments, the clocks of the switching circuits in
the two Axoclamps were synchronized. To reduce cross-talk between electrodes
during DCC and dSEVC, I place a grounded aluminum blade between the
microelectrodes, their holders, and the head-stages.
Fixation and visualization. At the end of each experiment, the
preparation was transferred to another Sylgard-lined dish, pinned out again,
and fixed with 4% paraformaldehyde overnight at 4°C. Tissues with
Neurobiotin fills were then processed following the protocols described in
Namba and Mulloney (1999
),
modified to visualize Neurobiotin with AlexaFluor-488 Streptavidin (Molecular
Probes). All preparations were then cleared and examined as whole mounts under
a confocal microscope to confirm the physiological identification of an
interneuron with independent anatomical evidence.
Simulations of synaptic currents. The complete membrane current of
the one-compartment model with two synapses is Imem =
-Ileak -Iexc -
Iinh. Here the leakage current is
Ileak = gL x (V - EL),
the excitatory synaptic current is Iexc =
gexc x S1 x (V -
Eexc), and the inhibitory current is
Iinh = ginh x S2
x (V - Einh). In each of these equations,
g is the conductance and E is the equilibrium potential for
each current, and V is the clamped membrane potential. The value of
each parameter is given in Table
1.
In the two synaptic equations, S1 and S2 control the
extent to which each synaptic conductance is active. S1 and
S2 are described by conventional first-order binding kinetics
(Abbott and Marder, 1998
): for
S1, dS1/dt = (S1
- S1)/((1
- S1
) x
S1) where
S1
= 0 if Vpre1
Vth, otherwise S1
=
tanh((Vpre1 -
Vth)/Vslope) and
Vpre1 = Vmax x
sin(2
(t/per)) + Vth. Here
Vmax is the potential at which release of transmitter by
the synapse reaches its maximum, and Vth is the voltage
threshold for release. The sine function allows the conductance to be active
periodically in a graded manner. Similar equations control S2, except
that Vpre2 =-Vmax x
sin(2
(t/per)) + Vth, so that
gexc and ginh are activated
alternately. I used WinPP (Ermentrout,
2002
) and Gear's method to integrate these equations.
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Results
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When the isolated ventral nerve cord was not actively expressing the
swimming motor pattern, PSE motor axons were silent, while a few RSE and RSI
axons fired steadily (Fig. 2).
In these preparations, recordings from processes of most motor neurons within
the LN showed that, except for irregular postsynaptic potentials (PSPs), their
membrane potentials were steady.

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Figure 2. Two transitions from inactivity to expression of the swimming motor
pattern. RSE mn, Intracellular recording from an RSE motor neuron; PS,
extracellular recording from power-stroke branch of swimmeret nerve; RS,
extracellular recording from return-stroke branch of swimmeret nerve. This
recording was made from a Procambarus clarkii preparation. In this
species, the RSI spikes recorded on RS during each PSE burst are
characteristically larger than the spikes of their homologs in
Pacifastacus leniusculus (Fig. 1
A).
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When the system is active, membrane potentials of swimmeret motor
neurons oscillate
If the preparation then began to express the motor pattern, PSE neurons
fired bursts that became increasingly strong, and RSE and RSI neurons changed
from steady firing to periodic bursting that alternated with these PSE bursts.
Associated with these transitions, the membrane potentials of these neurons
began to oscillate (Fig. 2). In
this example, a bout of four cycles of activity is followed by an inactive
interlude and finally by a transition to continuous expression of the swimming
motor pattern. As the system became active, the membrane potential of an RSE
motor neuron began to oscillate around its resting potential. During PSE
bursts, this neuron was hyperpolarized, but it depolarized and fired impulses
when PSE axons were silent.
Simultaneous recordings from PSE and RSE neurons showed that oscillations
of their membrane potentials occurred in antiphase
(Fig. 3), and these alternating
depolarizations drove bursts of impulses in these motor neurons.

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Figure 3. Simultaneous intracellular recordings from a power-stroke excitor (PSE) and
a return-stroke excitor (RSE) motor neuron during expression of the swimmeret
motor pattern. The membrane potentials of these antagonist neurons oscillated
in antiphase, and bursts of impulses occurred whenever each neuron was
depolarized. During part of this recording, the RSE neuron was depolarized by
injecting a steady current to bring it above threshold. PS, RS, Extracellular
recordings from power-stroke branch and return-stroke branch of swimmeret
nerve.
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Individual nonspiking local interneurons can affect the whole population
of motor neurons simultaneously
A small set of local, nonspiking interneurons with processes restricted to
one LN are thought to be key components of the pattern-generating circuit in
each swimmeret module (Heitler and
Pearson, 1980
; Paul and Mulloney,
1985a
,b
;
Skinner and Mulloney, 1998
).
When the system is active, the membrane potentials of these interneurons also
oscillate in phase with the motor output to each swimmeret
(Fig. 4). Interneurons 1A and
1B (Int 1A, Int 1B) are depolarized during RS bursts, whereas interneurons 2A
(Int 2A)are depolarized during PS bursts.

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Figure 4. Oscillations of membrane potential in nonspiking local interneurons during
expression of the swimming rhythm and the effects of these neurons on
different types of motor neurons that innervate one swimmeret. Ai,
Aii, The membrane potential of an interneuron 1A (Int 1A) was
hyperpolarized whenever PSE bursts occurred. Experimental depolarization of
this neuron inhibited all PSE firing, excited RSE firing, and allowed PSI to
fire continuously. Experimental hyperpolarization inhibited PSI and weakened
RSE bursts but increased the strength of each PSE burst. PS, RS, Extracellular
recordings from power-stroke branch and return-stroke branch of swimmeret
nerve. Bi, Bii, The membrane potential of a 2A interneuron (Int 2A)
was depolarized whenever PSE bursts occurred. Experimental depolarization of
this neuron elicited stronger PSE bursts but inhibited all RS activity. When
the experimental depolarization stopped, RSE firing resumed. Experimental
hyperpolarization excited RSE units but weakened PSE bursts. The large unit on
the RS trace that was firing steadily at the start in Bi and resumes
in Bii is not part of the swimmeret system. Its apparent correlation
with stimulation of Int 2A is not reproducible.
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Experimental changes in the membrane potential of an individual nonspiking
local interneuron affected the firing of many motor neurons in active
preparations. In seven experiments, step depolarization of an Int 1A increased
the numbers of spikes per burst in RSE neurons that were already firing and
recruited additional RSE units (Fig.
4Ai). The same step inhibited PSE units and caused a PSI
that had been firing bursts to fire continuously. In this figure, notice that
the modulation of the membrane potential of Int 1A is reduced during the step
but does not stop, and that the firing of PSI (on the PS trace) continued to
be modulated. Notice too that it took three more cycles after the end of the
step for the pattern to recover fully.
Hyperpolarization of this neuron also affected these different pools of
motor neurons (Fig.
4Aii). RSE bursts were weakened and PSI firing ceased
during the imposed hyperpolarization, but PSE increased and new PSE units were
recruited.
The same manipulations of Int 2A had complementary effects on the output
from the module (Fig.
4B). In four experiments, depolarization of an Int 2A
inhibited RSE firing but increased the numbers of spikes per burst in PSE
units (Fig. 4Bi).
Hyperpolarization of Int 2A weakened the PSE bursts but elicited well
structured RSE bursts (Fig.
4Bii). Neither PSI nor RSI units were active during this
experiment.
These results are consistent with two features of our model: motor neurons
receive excitation from one pair of these local interneurons but inhibition
from the other (Fig.
1B). They do not prove that these features are
correct.
Int 1A made a direct inhibitory connection with a PSE motor
neuron
In an experiment with two microelectrodes in the same LN, I recorded PSPs
in a PSE neuron that were driven by periodic pulses of current injected into
the presynaptic 1A interneuron. Each stimulus pulse was followed by an IPSP in
the motor neuron (Fig. 5). The
delay between the start of the stimulus pulse and the start of the IPSP was
2.2 msec, consistent with a monosynaptic connection
(Nagayama and Sato, 1993
;
Nagayama et al., 1997
). This
synapse is explicitly part of the model.

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Figure 5. Int 1A made a monosynaptic connection with a PSE motor neuron. Int 1A was
stimulated periodically with depolarizing pulses of current while the
responses of the PSE motor neuron was recorded. This synapse had a delay of
2.2 msec. The pair of clean traces is the average of multiple sweeps, and the
10 raw PSE traces displaced below the average PSE response show the precision
of these responses.
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Are bursts of firing in swimmeret motor neurons driven by alternating
excitatory and inhibitory currents?
Using dSEVC and a microelectrode placed in its process in the LN (see
Materials and Methods), it was possible to clamp the membrane potential of a
motor neuron to a range of values around resting potential. Differences in the
location of the electrode in separate experiments and inevitable limitations
of space clamp caused some variation in quantitative features of the currents
recorded in these experiments, but certain qualitative features emerged as
characteristics of currents in different functional types of motor
neurons.
If the preparation was not expressing the swimmeret motor pattern, the
membrane currents of motor neurons clamped at rest potential were constant and
showed no evidence of intrinsic oscillations (data not shown). If the
preparation began actively to express the swimming motor pattern, the membrane
currents of the same neurons alternated periodically, in phase with the firing
of other neurons of the same functional type
(Fig. 6). If the neuron was
clamped at its nominal resting potential or at the midpoint of its voltage
oscillations, its membrane currents alternated between inward and outward, in
phase with the cycle of the module (Fig.
6). As expected, PSE neurons had inward currents during the PS
bursts (Fig. 6A), and
RSE neurons had inward currents during RS bursts
(Fig. 6B). Some
discrete PSCs were visible in these recordings; different neurons varied in
this respect. Most of the current recorded in each neuron, however, appeared
to be continuously varying and not composed of summed discrete PSCs from a few
presynaptic sources.

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Figure 6. Membrane currents that underlie periodic depolarizations of motor neurons.
In this and all subsequent recordings of membrane currents, inward currents
are plotted as negative or downward. Vm, Membrane
potential; Im, membrane current. A, A PSE motor
neuron, clamped below threshold during four cycles of activity and then
released for three additional cycles. During dSEVC, Vm was
-50 mV; during bridge mode, Im = 0 nA. B, An RSE
motor neuron, clamped for four cycles and then released. During dSEVC, clamp
potential was -70 mV; during bridge mode, Im = 0 nA. PS,
RS, Extracellular recordings from power-stroke branch and return-stroke branch
of swimmeret nerve.
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Voltage clamping a motor neuron did not affect other neurons in the module
and had no effect on the period or phase of the activity of the system
(Fig. 6). Weak electrical
coupling occurs between some synergist motor neurons, and polysynaptic
inhibitory interactions occur between some antagonists
(Heitler, 1978
;
Sherff and Mulloney, 1996
).
Currents injected into some motor neurons did affect the firing of some other
neurons in the same module (Heitler,
1978
; Sherff and Mulloney,
1996
); the reduced number of spikes in the PSE neuron during
depolarization of RSE recorded in Figure
3 is an example.
Synaptic currents in motor neurons during expression of the swimming
motor pattern
Our 1998 model of the pattern-generating circuit within each module assumed
that swimmeret motor neurons are driven by periodically alternating inhibitory
and excitatory synaptic currents (Fig.
1B). If these currents result from periodic increases in
membrane conductances caused by binding of transmitters to different
ligand-gated channels, one selective for cations and another for chloride or
potassium ions, then the inward currents should have a different reversal
potential than the outward currents. In that case, clamping the membrane
potential at the reversal potential of the outward currents should reveal
periodic inward currents, larger than they had been when the neuron was
clamped at resting potential.
Simulations
This notion was simulated mathematically by constructing a one-compartment
passive cell that received two graded synaptic currents. The gating of these
currents was controlled by a sine function, and they were active alternately
(see Materials and Methods). When the cell was clamped at different
potentials, the membrane currents depended both on the clamp potential and on
the phase of the sine function. The performance of this cell in response to an
excitatory current, to an inhibitory current, and to alternating excitatory
and inhibitory currents is shown in Figure
7. In each of these three cases, the cell was clamped at four
potentials: -50, -65, -80, and -95 mV. Resting potential was -65 mV, and the
reversal potential for the inhibitory current was -80 mV. In both cases in
which there was an active excitatory current, this current grew as membrane
potential increased and the inhibitory current reversed
(Fig. 7).

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Figure 7. Simulations that show synaptic conductances and membrane currents in a
one-compartment model subject to three patterns of periodic, graded synaptic
input: only inhibition, alternating excitation and inhibition, and only
excitation.
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Experiments
I tested this prediction in 24 experiments; 6 of 13 PS neurons and 6 of 11
RS neurons were clamped well enough to demonstrate reversal of outward
currents (Fig. 8). Because each
neuron was clamped at each selected potential for many cycles of activity
during these recordings, all of its transient voltage-gated currents were
inactivated. The remaining periodic oscillations in membrane current observed
whenever the system was actively expressing the swimming motor pattern I
interpret as synaptically driven currents.

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Figure 8. Synaptic currents in four types of swimmeret motor neurons during two
complete cycles of the swimmeret motor pattern and power-stroke activity (PS)
recorded simultaneously with one of the current recordings. A, Three
recordings of membrane currents (Im) from a PSE motor
neuron during two cycles of the motor pattern. These voltage-clamp recordings
were each triggered off the start of a PS burst (top trace) but made at
different clamp potentials: -51, -64, and -83 mV. Raw recordings were low-pass
filtered [cutoff frequency (fc), 500 Hz] but not averaged. Leakage currents
recorded at the same clamp potentials when the system was silent were
subtracted from the -64 and -83 mV traces; the mean current of the trace was
subtracted from the -51 mV trace. Resting potential was -64 mV. Clamp
parameters were as follows: sampling rate 5 kHz, gain 20, anti-alias
filter10.B, Three recordings of membrane currents from an RSE motor
neuron made at different clamp potentials:-55, -70, and -85 mV. Each trace is
the average of two or three raw traces that had been low-pass filtered (fc,
500 Hz), with leakage current corrected by subtracting the mean current of the
averaged trace. Traces were aligned to the start of the first PS burst; the
period of the -70 mV recording was longer than that of the other two, so the
second cycle of the -70 mV current is somewhat delayed. Resting potential was
-73 mV. Clamp parameters were as follows: sampling rate 5.7 kHz, gain >10,
anti-alias filter 10. C, Three recordings of membrane currents from a
PSI motor neuron, made at -50, -70, and -90 mV clamp potential. Resting
potential was -53 mV. In this example, the outward inhibitory currents
decreased with hyperpolarization but did not reverse. Each trace is a single
sweep, low-pass filtered (fc, 500 Hz) but not averaged. Leakage current of
each trace was corrected by subtracting the mean current. Clamp parameters
were as follows: sampling rate 5 kHz, gain >50, anti-alias filter 5.
D, Three recordings from an RSI motor neuron, made at -47, -52, and
-75 mV clamp potential. Resting potential was -52 mV. Each trace is the
average of between 7 and 10 single sweeps that were low-pass filtered (fc, 1
kHz). Leakage current of -75 trace was corrected by adding 0.5 nA. Clamp
parameters were as follows: sampling rate 5.2 kHz, gain 25, anti-alias filter
20.
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When a PSE neuron was clamped at a potential more depolarized than its
resting potential (Fig.
8A, -51 mV), the magnitude of the oscillating membrane
currents increased compared with those when it was clamped at resting
potential. This was caused primarily by an increase in the inhibitory outward
currents that occurred when the other PSE units were silent. In the example of
Figure 8A, the
discrete transient IPSCs that occurred during this phase were obviously larger
when the neuron was clamped at -51 mV than they were when it was clamped at
rest, -64 mV.
When the same neuron was clamped at a potential more hyperpolarized than
resting potential, the magnitude of the current oscillations again increased.
This increase was caused primarily by an increase in the inhibitory currents,
now reversed by hyperpolarization to -83 mV. Notice the reversal of both the
transient IPSCs and the graded IPSC that occurs between each PS burst.
Similar observations also apply to currents in RSE motor neurons
(Fig. 8B). When an RSE
neuron was clamped at a potential more depolarized than resting potential, the
magnitude of the oscillations of its membrane currents increased
(Fig. 8B, -55 mV),
caused primarily by the growth of the periodic inhibitory outward current that
occurred when PSE units were firing. When the neuron was clamped at a
potential more hyperpolarized than rest
(Fig. 8B, -85 mV), the
inhibitory currents reversed.
The currents recorded from PSI neurons
(Fig. 8C) peaked at
different phases than those in PSE neurons but flattened out as the clamp
potential approached the reversal potential of the inhibitory current. In this
example, probably because of the limitations of space clamp, I could not
reverse the inhibitory current.
The currents recorded from RSI neurons
(Fig. 8D) had the most
complex periodic oscillations. When clamped at rest
(Fig. 8D, -52 mV),
they had two distinct outward "bumps" during each PS burst,
followed by a brief interval of inward current, while PS units were silent. In
this example, clamping the neuron to -75 mV reversed the first of these bumps
but not the second.
If the assumption of a model was correct, I expected to see large inward
currents alternating with the reversed outward currents plainly visible in
these recordings (Fig. 7,
middle panel). What is strikingly absent from these recordings is evidence of
a periodic inward current that occurs in phase with the bursts of impulses in
other neurons of the same type.
Input resistances of these neurons fluctuated periodically when the
system was active
To examine the changes in conductance that caused these oscillations of
membrane currents in active preparations, I used discontinuous current clamp
to inject trains of 20 msec pulses of hyperpolarizing current into neurons.
The period between pulses was >10 times the period of the motor pattern,
and the timing of each pulse was independent of the phase of the motor
pattern. The input resistance of the neuron was calculated from the size of
each voltage transient and plotted as a function of the phase of the current
pulse in the PS cycle of the module in which the neuron was located
(Fig. 9).

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Figure 9. Periodic changes in the input resistance of swimmeret motor neurons during
active expression of the swimming motor pattern. The gray boxes show when
during the cycle each type of neuron was firing (compare
Fig. 1 A). Phase of
stimulus was calculated as the phase in the cycle of PS bursting at which the
current pulse began. The solid line in each plot is a best fit of the data to
a periodic sine function
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The input resistance of each type of motor neuron that was tested
oscillated measurably in phase with the motor pattern. The peak of resistance
occurred at approximately the part of the cycle when the neuron was firing.
PSE and RSI neurons peaked at approximately the same point in the cycle; PSI
peaked later. The PSE neuron in this example was firing
10 spikes per
burst, so part of the increased scatter of points in the first half of the PSE
plot in Figure 9 is probably
attributable to the influence of its voltage-gated conductances.
 |
Discussion
|
|---|
Whenever the system is actively expressing the motor pattern that drives
coordinated swimmeret beating, the periodic bursts of impulses that occur in
swimmeret motor neurons are driven by periodic currents that occur
simultaneously in all neurons of the same functional type (Figs.
1,
6). We have proposed that these
currents come from graded synapses onto all neurons in a pool
(Skinner and Mulloney, 1998
)
and that it is this shared synaptic drive, rather than electrical coupling
(Sherff and Mulloney, 1996
),
that produces simultaneous bursting in these neurons. Indirect evidence of
this common synaptic drive comes from the orderly recruitment of units within
each pool (Davis, 1971
). In
both the PSE and RSE pools, as excitation of the system increases, neurons
with the smallest peripheral axons and therefore the smallest extracellularly
recorded spikes are first to reach threshold (Figs.
2,
3,
4Aii).
Two observations documented in this paper led us to propose that each motor
neuron receives alternating excitatory and inhibitory currents
(Fig. 1B). First, when
the system begins to express the swimming motor pattern, membrane potentials
of motor neurons begin to oscillate. These oscillations often span the
previously steady resting potential (Fig.
2). Alternating excitation and inhibition in the form of graded
inward and outward currents would naturally drive periodic depolarization and
hyperpolarization. Second, we knew that a small number of nonspiking local
interneurons occur in each module (Paul and Mulloney,
1985a
,b
)
and that these interneurons actively contribute to sculpting the motor pattern
(Fig. 4). The effects of these
neurons on antagonistic motor neurons are complementary
(Fig. 4): if a local
interneuron excites PSE, it inhibits RSE, and vice versa. One neuron that
released the same transmitter at each of its synapses could have antagonistic
effects on different target neurons if these targets expressed different
receptors for that transmitter. If different local interneurons released
different transmitters, then a neuron postsynaptic to two antagonist local
interneurons could be excited by one interneuron and inhibited by the other if
this postsynaptic neuron expressed the appropriate receptors selectively at
different synapses.
In my new experiments, when a motor neuron was voltage clamped at its
resting potential or at a potential in the middle of its oscillations (Figs.
6,
8, middle current traces), its
membrane currents oscillated between inward and outward, in phase with the
activity of the system. The simulations of a passive cell with alternating
excitatory and inhibitory synapses, clamped at the reversal potential of the
leak current (Fig. 7), illustrate that this behavior of the experimentally recorded currents is
consistent with the two-synapse model. If these neurons were then clamped at
potentials less polarized than rest, their outward currents grew
(Fig. 8, top current traces),
as theory and the two-synapse model would predict
(Fig. 7). If these neurons were
clamped at a potential near or greater than the inhibitory reversal potential,
their outward currents disappeared or reversed as expected
(Fig. 7, bottom current
traces), but there was no evidence of periodic inward currents alternating
with the reversed outward currents. Input resistances in these neurons dropped
during that part of the cycle when the neuron was not firing
(Fig. 9), as I would expect if
an inhibitory conductance increase occurred then. This behavior is not
consistent with the assumption of the model that these neurons receive
periodic excitatory and inhibitory synaptic currents. Instead, it implies that
in these preparations isolated from proprioceptive input, the only periodic
currents that the pattern-generating neurons cause in motor neurons are
inhibitory.
These results permit a simplification of our 1998 model of the local
pattern-generating circuit within each swimmeret module
(Fig. 10). The key elements of
this model continue to be the synaptic organization of four local
interneurons: two Int 2A, one Int 1A, and one Int 1B
(Skinner and Mulloney, 1998
).
The paired recordings in Figure
5 demonstrate that Int 1A did inhibit the PSE neuron directly, as
the model assumed. In this revision, the different pools of motor neurons
receive graded inhibitory synaptic input from particular local interneurons,
but excitatory synapses have been stricken. The source of the inward currents
in these neurons is not periodic.

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Figure 10. Diagram of the revised model of the local circuit in each swimmeret module
that drives alternating bursts in swimmeret motor neurons. This diagram also
incorporates symbols for the peripheral inhibitory motor neurons that in the
past have been included only implicitly. Three types of nonspiking local
interneurons (1A, 1B, 2A) make graded, monosynaptic inhibitory connections
(black filled circles) with motor neurons of particular types (PSE, PSI, RSE,
RSI). The numbers in parentheses are the numbers of neurons of each type in
one module. The gray connections in this diagram were not examined in this
paper. Large open circles represent neurons; filled circles represent
inhibitory synapses; open triangles represent excitatory synapses.
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These results also raise a problem: what causes swimmeret motor neurons to
fire when the system is active? We know that when the system is inactive,
motor neurons are not tonically inhibited because blocking synaptic
transmission with low Ca2+high Mg2+ saline does
not free them to fire continuously; instead, they are all silent
(Sherff and Mulloney, 1996
;
Tschuluun et al., 2001
). Two
classes of excitatory mechanisms might be present: tonic synaptic excitation
by graded transmission from an unidentified premotor interneuron or modulation
of currents intrinsic to the motor neurons. Experiments like those reported
here use bath application of transmitter analogs to force stable expression of
the motor pattern, but this tactic then confounds interpretation because the
appearance of a tonic current in a neuron as the system becomes active might
be the normal source of excitation, or it might be an independent response to
the transmitter. One example is the response of different types of swimmeret
motor neurons to crustacean cardioactive peptide, a peptide that also excites
the swimmeret system: PSE and RSI neurons were directly excited by the
peptide, but RSE and PSI were inhibited
(Mulloney et al., 1997
).
Identification of a tonic excitatory current will require new experiments that
measure membrane currents in preparations that express intermittent bouts of
normal activity spontaneously, without applied drugs.
Another possible source of excitation must be modulation of intrinsic
membrane currents in the motor neurons, either tonic currents or transient
voltage-gated currents. A noninactivating Ca2+ current that
activates above -60 mV occurs in swimmeret motor neurons
(Chrachri, 1995
), and a
sustained, voltage-dependent outward current that is blocked by muscarinic
agonists occurs in walking-leg motor neurons
(Cattaert et al., 1994
).
Modulation of either of these currents could change the excitability of a
neuron. A transient, voltage-gated inward current like Ih
(Golowasch and Marder, 1992a
)
that was activated by hyperpolarization would produce a postinhibitory rebound
(Perkel and Mulloney, 1974
).
Another candidate would be the voltage-dependent inward current that is the
target of several modulatory pathways
(Golowasch and Marder, 1992b
;
Swensen and Marder, 2000
). The
method I used in these experiments to record synaptic currents effectively
inactivated all transient voltage-gated currents in the clamped neuron, so
these data cannot identify any nonsynaptic currents that are normally at work
in unclamped motor neurons.
The modules of swimmeret system are homologs of the neural circuits that
control individual walking legs and scaphognathites in crustaceans
(Mulloney et al., 2003
), and
the cores of the pattern-generating circuits controlling these other
structures will probably prove to be the same as the kernel of the swimmeret
modules (Fig. 10).
Scaphognathite beating is regulated by nonspiking local interneurons
(DiCaprio, 1989
) and maintains
a stable phase structure through a wide range of periods
(DiCaprio et al., 1997
). The
motor patterns that drive the movements of walking legs are more complex than
those that drive swimmeret movements, a complexity that reflects the larger
number of joints in the leg. Both forward and backward walking have been
recorded from isolated chains of thoracic ganglia
(Chrachri and Clarac, 1990
),
and nonspiking local interneurons like those in the swimmeret system are
premotor components of the walking system
(Chrachri and Clarac, 1989
).
Like the swimmeret system (Braun and
Mulloney, 1993
; Chrachri and
Neil, 1993
), the walking system is also activated by muscarinic
agonists (Chrachri and Clarac,
1987
), and the anatomy of the thoracic ganglia is homologous to
that of the abdominal ganglia (Mulloney et
al., 2003
).
The neural circuits that control walking legs of insects are also probably
homologs of swimmeret modules. Each leg has its own set of motor neurons,
controlled by its own set of nonspiking local interneurons
(Burrows and Siegler, 1978
,
Burrows, 1980
;
Wolf and Laurent, 1994
;
Büschges, 1995
;
Wolf and Büschges, 1995
).
Pairs of these modules are located in each thoracic ganglion, one module in
each half of the ganglion (Büschges et
al., 1995
). Each module can independently produce alternating
bursts of impulses in antagonist motor neurons. The cholinergic pharmacology
of these modules is very like that of crustacean walking and swimmeret
systems; muscarinic analogs of acetylcholine elicit fictive locomotion from
isolated thoracic ganglia (Ryckebusch and
Laurent, 1993
; Büschges et
al., 1995
). Like the synaptic currents in swimmeret motor neurons
(Fig. 8), the synaptic currents
recorded from insect leg motor neurons in isolated thoracic ganglia during
fictive walking are exclusively inhibitory
(Büschges, 1998
). These
currents arise from a decrease in input resistance and are carried by
potassium ions (Büschges,
1998
). However, when these leg modules have not been isolated
experimentally, an additional synaptic component appears that comes from local
proprioceptive feedback (Bässler and
Büschges, 1998
). When an isolated mesothoracic leg was
stepping actively, these neurons were subject to two bouts of decreased input
resistance in each cycle (Schmidt et al.,
2001
): one during the time the neuron was firing and one when it
was inhibited. Comparable experiments on preparations with intact
proprioceptive input have not yet been attempted in the swimmeret system.
 |
Footnotes
|
|---|
Received Feb. 19, 2003;
revised Apr. 15, 2003;
accepted May. 6, 2003.
This work was supported by National Science Foundation Grants IBN 97-28791
and 00-91284, and by Human Frontier Science Program Grant RG 61/98. I thank
Wendy Hall for technical support.
Correspondence should be addressed to B. Mulloney, Section of Neurobiology,
Physiology, and Behavior, University of California, Davis, One Shields Drive,
Davis, CA 95616-8519. E-mail:
bcmulloney{at}ucdavis.edu.
Copyright © 2003 Society for Neuroscience
0270-6474/03/235953-10$15.00/0
 |
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