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The Journal of Neuroscience, February 1, 2000, 20(3):908-918
Secondary Nicotinic Synapses on Sympathetic B Neurons and Their
Putative Role in Ganglionic Amplification of Activity
Paul
Karila and
John P.
Horn
Department of Neurobiology, University of Pittsburgh, School of
Medicine, Pittsburgh, Pennsylvania 15261
 |
ABSTRACT |
The strength and number of nicotinic synapses that converge on
secretomotor B neurons were assessed in the bullfrog by recording intracellularly from isolated preparations of paravertebral sympathetic ganglia 9 and 10. One input to every B neuron invariably produced a
suprathreshold EPSP and was defined as the primary nicotinic synapse.
In addition, 93% of the cells received one to four subthreshold inputs
that were defined as secondary nicotinic synapses. This contradicts the
prevailing view, which has long held that amphibian B neurons are
singly innervated. More important, the results revealed that B cells
provide the simplest possible experimental system for examining the
role of secondary nicotinic synapses on sympathetic neurons. Combining
the convergence data with previous estimates of divergence indicates
that the average preganglionic B neuron forms connections with 50 ganglionic B neurons and that the majority of these nicotinic synapses
are secondary in strength. Secondary EPSPs evoked by low-frequency
stimulation ranged from 0.5 to 10 mV in amplitude and had an average
quantal content of 1. Nonetheless, secondary synapses could trigger
action potentials via four mechanisms: spontaneous fluctuations of EPSP
amplitude, two-pulse facilitation, coactivation with other secondary
synapses, and coactivation with a slow peptidergic EPSP. The data were
used to formulate a stochastic theory of integration, which predicts
that ganglia function as amplifiers of the sympathetic outflow. In this
two-component scheme, primary nicotinic synapses mediate invariant
synaptic gain, and secondary nicotinic synapses mediate
activity-dependent synaptic gain. The model also provides a common
framework for considering how facilitation, metabotropic mechanisms,
and preganglionic oscillators regulate synaptic amplification in
sympathetic ganglia.
Key words:
activity-dependent modulation; bullfrog sympathetic
ganglia; neuronal nicotinic receptors; nicotinic synapses; metabotropic
synapses; synaptic integration; sympathetic nervous system
 |
INTRODUCTION |
Synaptic convergence is a basic
determinant of neuronal integration, and it appears to follow a simple
pattern in paravertebral sympathetic ganglia. Sympathetic neurons are
generally innervated by one preganglionic axon that forms a strong
nicotinic synapse and by a variable number of axons that form weaker
nicotinic synapses (Dodd and Horn, 1983b
; Skok and Ivanov, 1983
; Hirst
and McLachlan, 1986
; Jänig and McLachlan, 1992
). In this paper,
we define nicotinic synapses as primary when they produce EPSPs that
are always suprathreshold in strength and as secondary when they
produce EPSPs that are generally subthreshold during low-frequency
stimulation. Variability in the number of secondary synapses per neuron
occurs within ganglia and between species. The precise physiological
role of ganglionic convergence and its variation remain as an
interesting unsolved problem.
One approach to the problem of convergence has stressed the
developmental mechanisms that specify formation of appropriate synaptic
connections between preganglionic and postganglionic neurons.
Comparison of the superior cervical ganglion (SCG) in five mammalian
species revealed that preganglionic to postganglionic convergence
ranged from 4 to 15 and correlated with the number of primary dendrites
on postganglionic neurons (Purves and Lichtman, 1985
). Although the
significance of this arrangement remains unknown, this work also
uncovered an interesting correlation between the body weight of a
species and the average number of dendrites on sympathetic neurons
(Purves et al., 1986
). As a possible explanation, it was proposed that
developmental regulation of convergence produces some kind of scaling
effect on sympathetic function in animals of different sizes.
Our approach to convergence focuses on its integrative consequences in
functional subsets of sympathetic neurons, using anuran amphibians as
the model. Convergence in paravertebral ganglia 9 and 10 of frogs and
toads is lower than that in the mammalian SCG and appears to differ
between secretomotor B neurons and vasomotor C neurons. B cells, which
innervate cutaneous glands (Lang et al., 1975
; Horn et al., 1988
;
Jobling and Horn, 1996
), may exemplify the simplest possible system. In
the original identification of the B and C cell types, it was found
that virtually all B neurons are innervated by only one axon, which
forms a primary synapse (Nishi et al., 1965
). This widely accepted view
has been consistently supported in anecdotal reports (Blackman et al.,
1963a
; Skok, 1973
; Weitsen and Weight, 1977
; Dodd and Horn, 1983a
). By
comparison, it is relatively easy to demonstrate one to three
secondary synapses on most vasomotor C neurons (Dodd and Horn,
1983b
). The apparent difference suggests that secondary nicotinic
synapses contribute to the integrated output of action potentials by C
neurons but not B neurons.
We decided to examine the issue of secondary nicotinic synapses after
Ivanoff and Smith (1995)
observed subthreshold nicotinic EPSPs in 53%
of B cells during spontaneous activity in vivo. This surprising finding countered all previous reports and led the authors
to propose that a novel contralateral preganglionic pathway is cut when
ganglia are isolated for study in vitro. The initial aims of
the present work were to clarify the extent of polyinnervation in B
neurons and to test its impact on postsynaptic firing of action
potentials. The results led us to formulate a general theory of
ganglionic integration.
 |
MATERIALS AND METHODS |
Twenty-eight bullfrogs (Rana catesbeiana; 14-18 cm)
of both sexes were cooled on ice for 30 min and killed by double
pithing. Unilateral preparations of the paravertebral chain, including ganglia 7-10 and the associated spinal nerves, were isolated and pinned flat in a recording dish (Dodd and Horn, 1983a
). In this preparation, graded preganglionic stimulation allows for the
fractionation and characterization of nicotinic synapses because all
bullfrog sympathetic neurons have a catecholaminergic phenotype (Stofer and Horn, 1990
) and receive their cholinergic innervation from preganglionic neurons in the spinal cord (Horn and Stofer, 1988
; Smith,
1994
). Suction electrodes were fitted on the chain above ganglion 7 for
stimulation of the presynaptic B pathway and on spinal nerves 7 and 8 for separate stimulation of the presynaptic C pathway (Dodd and Horn,
1983a
). Having electrodes on both preganglionic pathways aided cell
identification, and in some experiments (e.g., see Fig. 7) the C
pathway was stimulated to evoke a peptidergic EPSP in B neurons (Jan et
al., 1979
). Preparations were superfused (1 ml
min
1) at room temperature (20-22°C)
with Ringer's solution (mM): 115 NaCl, 2 KCl,
1.8 CaCl2, and 4 HEPES, pH 7.2.
Intracellular recording. Neurons were impaled under visual
guidance (40× water; Zeiss WL) with sharp microelectrodes
filled with 3 M KCl (70-90 M
). In some experiments,
electrodes were beveled to lower their resistance (15-35 M
). B
neurons in ganglia 9 and 10 were identified by the segmental origin and
conduction velocities of their nicotinic inputs (Dodd and Horn, 1983a
).
Recordings were monitored on an oscilloscope and chart recorder and
digitized at 10 kHz. After impalement, cells were allowed to stabilize
for >5 min before data collection. General analysis and graphing were performed with IGOR Pro 3.12 for Windows (WaveMetrics, Lake Oswego, OR). Grouped data are expressed as the mean ± SEM.
During characterization of convergence, cellular leak resistance
(Rleak) was measured at regular
intervals and just before pulling out, when possible. To estimate
Rleak, I-V curves were constructed, typically using 500 msec current pulses with 50 pA steps.
After subtracting unbalanced electrode resistance,
Rleak was taken as the slope of the
I-V relation in the linear range between
60 and
110 mV.
This provides an index of impalement damage (Jones, 1989
).
Counting of nicotinic synapses. Synaptic inputs to B neurons
were fractionated by varying the presynaptic stimulus intensity. Low-frequency stimulation (0.2 Hz) was used to avoid effects of facilitation and depression (Shen and Horn, 1995
). Stimulus parameters of 0.1-0.4 msec and 0.5-2.5 V produced the best resolution between individual presynaptic axons. In counting synapses, we varied the
stimulus intensity and looked for clearly discernible steps in the
average EPSP amplitude or shape, arising from different conduction
velocities of newly recruited inputs. Latency shifts were never used as
the sole criterion because latency can vary with stimulus intensity,
because of current spread (Lichtman, 1980
). This method of graded
stimulation provides a minimal estimate of convergence because it only
detects those secondary synapses whose presynaptic stimulus thresholds
are lower than that of the primary presynaptic axon.
Quantal analysis of secondary nicotinic synapses. Stimulus
strength was adjusted to minimize the rate of transmission failure during selective activation of a single preganglionic axon (Allen and
Stevens, 1994
; Dobrunz and Stevens, 1997
). In seven such neurons, asynchronous EPSPs were also observed and subsequently analyzed using
an event detection program [AxoGraph 3.5; Axon Instruments (Clements
and Bekkers, 1997
)]. The mean amplitudes of asynchronous EPSPs
(x) and evoked EPSPs (X) were used for
direct, model-independent, calculation of quantal content
(mdirect = X[x]
1). The
probability of release (p) was then estimated by
fitting the data to a binomial distribution and assuming different
numbers of release sites (N). The best fit was
chosen by
2 statistics and accepted
when the probability of its occurrence by chance was <0.05. For
purposes of minimal stimulation and illustration (e.g., see Fig. 2),
transmission failures were assessed by visual inspection of records.
Estimates of X for quantal analysis include data from all
stimulus trials. Elsewhere in the results, visually discriminated
failures were removed from the data before calculating average
secondary EPSP amplitudes.
 |
RESULTS |
Distribution of secondary nicotinic synapses
We begin by presenting examples of convergence and follow with
grouped data. The first case illustrates a B neuron with two synaptic
inputs (Fig. 1A).
Supramaximal stimulation of the preganglionic B pathway evoked a
primary EPSP that invariably triggered an action potential (Fig.
1B). During recovery of the action potential, the
initial phase of the spike afterhyperpolarization was clearly distorted by the fast EPSP. This profile matches the classical picture
of mononeuronal innervation by a single strong nicotinic synapse
(Blackman et al., 1963a
; Nishi et al., 1965
). In a departure from the
accepted view, we observed a subthreshold secondary EPSP after reducing
the supramaximal stimulus (Fig. 1C). In this particular cell
one could go back and forth repeatedly between the primary and
secondary inputs for >1 hr by simply adjusting the stimulus intensity,
thus showing it is possible to isolate and activate selectively a
secondary synapse. During 600 trials at 0.25 Hz, the amplitude of the
secondary EPSP fluctuated between 1 and 10 mV, and it occasionally
crossed threshold (Fig. 1C). However, unlike the primary
EPSP, the much weaker secondary EPSP produced little effect on the
spike afterpotential (Fig. 1C, inset). In those
stimulus trials in which the secondary EPSP approached threshold, it
clearly activated voltage-dependent currents, as evidenced by a
prolonged peak, an accelerated decay, and an undershoot (Fig. 1C).

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Figure 1.
Identification of primary and secondary nicotinic
EPSPs. A, Schematic for convergence of primary (1°)
and secondary (2°) synapses on a sympathetic B neuron is shown.
B, Presynaptic stimulation of the primary synapse evoked
an invariably suprathreshold EPSP, which distorted the action
potential afterhyperpolarization. C, Lowering
presynaptic stimulus strength revealed subthreshold secondary EPSPs.
Superimposed records illustrate the range of spontaneous fluctuations
in EPSP amplitude. In this cell, the secondary EPSP occasionally
crossed threshold. Inset, Spike afterpotentials
triggered by the secondary synapse showed little sign of an EPSP.
Vm = 48 mV.
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Two examples of B neurons with higher levels of convergence are
illustrated in Figure 2. In both cases,
graded increases in presynaptic stimulus strength revealed multiple
steps in the average EPSP amplitude and finally recruited a primary
synapse that triggered an action potential. The neuron in Figure 2,
A and B, had five inputs, the most observed in
this study. They consisted of one primary and four secondary synapses.
Three of the secondary EPSPs had similar latencies but differed in
their average amplitudes and stimulus thresholds (Fig.
2A,B). The fourth secondary synapse was distinguished
by its longer latency. Our final example is from a neuron with four
inputs (Fig. 2C,D). In this case, the synapse labeled
a had the lowest stimulus threshold, and its failure rate
declined as stimulus intensity was increased (Fig. 2C,D). Adjusting the stimulus strength in this manner exemplifies the technique of minimal stimulation, which was used to minimize
presynaptic action potential failures in subsequent release
experiments. In cells with multiple secondary synapses, we attempted to
resolve the time course and amplitude of individual components by
subtracting averaged EPSPs representing different combinations of
inputs (Fig. 2A,C). This approach will work when EPSP
amplitudes are much smaller than the driving force on synaptic currents
and summation is linear. However, subtraction revealed evidence in some
cells of EPSPs with rounded peaks (Fig. 2C, input
c) and the other signs of voltage-dependent currents (e.g.,
Fig. 1C). Because of the activation of these nonsynaptic currents, summation is likely to be nonlinear. Thus the subtraction approach provides only an approximate estimate of secondary EPSP components, and it could not be used to quantitate the size of individual responses.

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Figure 2.
Examples of two B neurons with relatively high
levels of synaptic convergence. One cell had five synapses (A,
B), and the other had four synapses (C, D).
A, C, Combined and resolved secondary
EPSPs from each cell are depicted. Also shown are action potentials
(right) initiated by the primary synapses. Each record
is an average of 9-18 responses at 0.2 Hz. Individual components of
the combined EPSP each had a distinct stimulus threshold or latency.
Components of secondary EPSPs were resolved by subtraction. For
example, input a in A was
selectively evoked by stimuli of 0.48-0.53 V, inputs
a + b were evoked by 0.55 V stimuli, and
input b was resolved by subtracting
a from a + b. B, D, Top,
The relation between stimulus intensity and secondary EPSP amplitude
illustrates the differences in threshold for individual secondary
synapses. D, Bottom, The transmission failure rate
decreased as stimulus intensity was increased.
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The distribution of primary and secondary nicotinic synapses was
analyzed in two groups of B neurons. In the first group (67 neurons; 14 frogs), the goal was to minimize sampling bias by including all neurons
that were innervated and could generate action potentials >45 mV. All
67 neurons had one primary nicotinic synapse, 93% had at least one
secondary nicotinic synapse, and 22% had two or three secondary
synapses. On average, 2.2 ± 0.1 axons converged onto each neuron,
and secondary EPSP amplitude (excluding failures) was 2.6 ± 0.3 mV (n = 37). For cells with >1 secondary input, only
the EPSP with the lowest stimulus threshold was included in the
averaged data. In this group, the resting membrane potential
(Vm) was
48 ± 1 mV (n = 55), Rleak was 133 ± 21 M
(n = 43), and the action potential threshold was
33 ± 2 mV (n = 43). The number of inputs per
cell was independent of the quality of recordings, as measured by
Vm or Rleak (Fig. 3A,B). This is important
because it argues against the possibility that recording damage
obscured secondary EPSPs in previous studies of B neurons. As would be
expected from consideration of the driving force on synaptic currents
and the shunting influence of the nonsynaptic membrane resistance, EPSP
amplitudes were larger in cells with higher Vm
and Rleak (Fig. 3C,D).

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Figure 3.
Impact of resting membrane properties on estimates
of convergence and secondary EPSP amplitude. A, B, The
number of secondary nicotinic synapses per neuron did not correlate
with Vm (A) and
Rleak (B). C,
D, Secondary EPSP amplitude declined with decreases in
Vm (C) and
Rleak (D). Each
point [ (A, C); (B,
D)] in the scatter plots represents data from one cell. Lines
are drawn by linear regression.
|
|
In a second group of 32 neurons from 14 additional frogs, recordings
were made using lower resistance beveled electrodes to reduce noise,
and cells without well isolated secondary synapses were discarded. This
group was similar to the first in that all cells received one primary
synapse, and Vm =
48 ± 1 mV
(n = 32). As would be expected from the more stringent
selection criteria and the coarser electrodes, cells in the second
group were characterized by higher convergence (2.7 ± 0.1 inputs
per cell; n = 32), lower
Rleak (27 ± 4 M
;
n = 22), and lower secondary EPSP amplitude (1.8. ± 0.3 mV; n = 32). This group contained the cell with
five inputs (Fig. 2A,B).
Overall, the pattern of convergence that we observed in sympathetic B
neurons was reminiscent of previous work on parasympathetic neurons in
the frog cardiac ganglion, where 55% of the cells receive one to four
secondary synapses in addition to a primary input (Dennis and Sargent,
1978
; Ko and Roper, 1978
). In subsequent experiments, we attempted to
assess the function of secondary synapses.
Quantal properties of secondary nicotinic synapses
Quantal content (m) and other release parameters
provide valuable indices of synaptic function because they reflect
synaptic strength and structure and they influence release dynamics. We therefore sought to measure the resting value of m during
low-frequency stimulation in physiological
[Ca2+] and to determine whether simple
Poisson or binomial models could describe secondary EPSP amplitudes.
Although spontaneous acetylcholine release is rare in sympathetic
ganglia, we found seven neurons in which nerve stimulation evoked a
secondary EPSP and asynchronous EPSPs (e.g., Fig.
4A). The average
amplitudes of these events were similar (X = 0.99 ± 0.32 mV; x = 1.00 ± 0.13 mV). By making the
assumption that the magnitudes of asynchronous EPSPs reflected quantal
size at secondary synaptic release sites we could calculate quantal
content for each cell by the direct method (m = 1.04 ± 0.31; range, 0.31-2.33). This sample of neurons was
characterized by 2.7 ± 0.2 inputs per cell,
Vm =
50 ± 2 mV, and
Rleak = 17 ± 4 M
.

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Figure 4.
Analysis of secondary EPSP amplitudes.
A, Selected stimulus trials illustrate EPSPs evoked by
0.2 Hz stimulation. In most of the trials shown, each nerve stimulus
evoked a short-latency synchronous EPSP and an asynchronous EPSP (*)
whose latency was longer and variable. An arrow in the
first trial marks a failure of synchronous transmission.
B, In an amplitude histogram, the distribution of 154 asynchronous EPSPs recorded from the neuron in A shows a
positive skew and an average amplitude (x) of
1.39 ± 0.02 mV. C, The amplitude histogram of
synchronous EPSPs evoked from the same neuron (X = 2.67 ± 0.13; 341 trials) was broad and lacked discrete peaks at
intervals corresponding to the average amplitude of asynchronous EPSPs.
In this histogram, the peak near 0 mV corresponds to 131 transmission
failures. D, The distribution of EPSP amplitudes from
another B neuron in which synchronous responses (large
graph) and asynchronous responses
(Asynch; inset) were recorded. The
thick solid line in the
large graph was drawn from a binomial fit
in which N = 4 and p = 0.56. In
this cell, x = 0.6 ± 0.02 mV
(n = 24), and X = 1.4 ± 0.04 mV (n = 240). Thin
lines in the histogram were generated by the
binomial-fitting procedure, and they represent baseline noise and the
expected distribution of EPSP amplitudes attributable to zero to four
quantal events. Negative values in the overall fit
(thick line) were introduced by the
baseline noise.
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Estimating the probability of release (p) and the
number of release sites (N) from distributions of
EPSP amplitudes proved difficult. Figure 4A
illustrates a series of trials in which most presynaptic nerve stimuli
evoked a short-latency EPSP and also a longer-latency asynchronous
EPSP. These examples are from the cell in which we observed the largest
number of asynchronous events (154). In this instance, the amplitude
distribution of asynchronous EPSPs had a clear positive skew (Fig.
4B). Unfortunately, asynchronous EPSPs were too
infrequent to assess their amplitude distributions in the other six
cells in which they were observed. In another approach, 2 mM Sr2+ was added
during recordings from seven other B neurons (data not shown) to
elevate the rate of asynchronous release during stimulation of a
secondary synapse (average number of events = 320 ± 124). In
every one of these cells, the amplitude distribution of asynchronous
EPSPs had a positive skew similar to that seen for asynchronous events
in normal Ringer's solution. Skewed distributions like those in Figure
4B and in the
Sr2+-treated neurons are better described
by a
function than a Gaussian function. This resembles previous
descriptions of spontaneous release in this preparation (Blackman et
al., 1963b
) and in other autonomic ganglia (Martin and Pilar, 1964
;
Dennis et al., 1971
; McLachlan, 1975
).
Histograms of synchronously evoked EPSP amplitudes were generally
symmetric, without any sign of quantal peaks (Fig.
4C,D). The absence of peaks presumably reflects a
smearing effect produced by the quantum's high coefficient of
variation (Fig. 4B), a by-product of the
distribution.
In theory a symmetric distribution of evoked EPSP amplitudes could
arise from a Poisson process if m were high (i.e., >1) or
from a binomial model with intermediate values of p
(McLachlan, 1978
). Overall, the data were not described by a Poisson
distribution, and we were only successful (Fig. 4D) in fitting our data to a binomial model (N = 4;
p = 0.56) in one cell. As would be expected from a good
fit, multiplication in this case of N by p to
obtain m (2.24) reproduced
mdirect (2.33).
Excitatory action of secondary nicotinic synapses
The physiological impact of secondary nicotinic synapses depends
critically on their ability to initiate action potentials. In 5 of 99 B
neurons, spontaneous fluctuations of secondary EPSP amplitude during
0.2 Hz stimulation were sufficient on their own to cause firing (Fig.
1C). To examine further the excitatory role of secondary
synapses, we measured the consequences of repetitive stimulation and summation.
Pairing of stimulus shocks at intervals <100 msec consistently
facilitated secondary EPSP amplitude and reduced the rate of transmission failures, when tested in 18 neurons. Figure
5A illustrates the
facilitation of subthreshold EPSP amplitude associated with interstimulus intervals of 10, 30, and 80 msec (repetition rate = 0.1 Hz). In grouped data (Fig. 5B), facilitation produced a maximal 3.2-fold increase in EPSP amplitude when stimuli were paired at
10 msec, the shortest interval examined.

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Figure 5.
Paired-pulse facilitation of secondary EPSPs can
enhance firing. A, The time course of facilitation in
one neuron, as shown by superimposed records of paired EPSPs, at
stimulus intervals of 10, 30, and 80 msec. Each
trace is an average of 6-10 trials after removing
responses that evoked action potentials. B, The time
course of facilitation in grouped data. Paired-pulse ratios [(peak of
second response)(peak of first response) 1] are plotted
as a function of stimulus interval (each point
represents 6-17 cells). As in A, facilitation of EPSP
amplitude is maximal at an interstimulus interval of 10 msec and decays
rapidly at longer intervals. C, Superimposed trials from
a neuron in which stimulation at a two-pulse frequency of 12.5 Hz
increased the proportion of action potentials generated by the second
response of the pair. In this case, Rleak
(500 M ) was particularly high, suggesting that the recording
represents behavior under conditions of minimal impalement damage.
D, Cellular variation in the percentage of action
potentials generated by the second EPSP at different interstimulus
frequencies for four neurons with different
Rleak values. Legend:
Rleak = 500 M ( ), 200 M ( ),
130 M ( ), and 14 M ( ). The interstimulus frequency is the
reciprocal of the paired-pulse interval.
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Facilitation at a single secondary synapse also increased the
probability of postsynaptic firing. In the case illustrated in Figure
5A, the first EPSP in each pair was always subthreshold. Delivery of the second stimulus 10 msec later evoked an action potential in 11 of 20 trials. The excitatory efficacy of the second EPSP declined in this cell to 20% at 30 msec and 0% at 80 msec. Facilitation may also operate over longer intervals to enhance postsynaptic firing. Figure 5C shows 15 trials from another
cell in which the first EPSP of the pair triggered 1 action potential and the second EPSP, 80 msec later, triggered 10 action potentials. In
general, the relation between the interstimulus interval and enhanced
firing was quite variable between cells. The most effective interval
ranged from 10 to 100 msec in the four cells compared in Figure
5D. In seven cells in which 0.2 Hz stimulation of a secondary synapse never initiated firing, pairing stimuli at a 20 msec
interval caused the second EPSP to trigger action potentials in
29.0 ± 5.7% of trials. In this group, Vm =
50 ± 3 mV, Rleak = 112 ± 48 M
, number of inputs = 2.9 ± 0.5, and EPSP amplitude = 2.8 ± 0.9 mV.
Coactivation of two convergent secondary synapses was also found to
trigger action potentials in B neurons (Fig.
6). In a group of nine cells, summation
of two secondary EPSPs stimulated action potentials in 21.3 ± 2.8% of trials, whereas activation of one input produced action
potentials in only 0.5 ± 0.5% of trials. In this group
Vm =
50 ± 4 mV,
Rleak = 121 ± 61 M
, number of
inputs = 3.1 ± 0.1, and EPSP amplitude = 2.9 ± 0.8 mV.

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Figure 6.
Summation of two secondary EPSPs can enhance
firing. A, Resolved inputs from a neuron with two
secondary synapses (top; a, b) and a
primary synapse (bottom) are shown. B,
Top, Selective stimulation of the lower threshold input
(A; a) evoked an EPSP that never reached
threshold. Bottom, Coactivation of inputs a + b triggered action potentials in 8 of 24 trials.
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In the bullfrog, repetitive stimulation of the C pathway releases a
luteinizing hormone-releasing hormone-like peptide, which diffuses to nearby B neurons and produces a slow EPSP lasting several
minutes (Jan et al., 1979
). Interaction between this slow metabotropic
EPSP and secondary nicotinic EPSPs was complex. In eight neurons, we
found that stimulation of the peptidergic EPSP (100 stimuli at 20 Hz)
inhibited transmission at secondary nicotinic synapses. The inhibition
was not studied further but may arise from peptidergic inhibition of
nicotinic receptors (Akasu et al., 1983
). In six other B neurons,
interaction between the fast and slow EPSPs clearly enhanced the firing
of action potentials (Vm =
51 ± 6 mV;
Rleak = 144 ± 82 M
; number of
inputs = 3.2 ± 0.5; EPSP amplitude = 2.8 ± 1.1 mV). In control trials before peptide release, only 7.7 ± 4.9%
of fast EPSPs triggered action potentials. During slow EPSPs (100 stimuli at 20 Hz), the proportion of suprathreshold nicotinic EPSPs
increased to 16.7 ± 7.1% (p
0.05, two-tailed paired Student's t test). An example of the
effect is shown in Figure 7A.
It is interesting to note that some fast EPSPs were also inhibited in
this experiment (Fig. 7B). This suggests that an inhibitory
effect on the fast EPSP was again present, despite the fact that
interaction with the peptidergic EPSP produced a net enhancement of
action potential generation.

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Figure 7.
Interaction between secondary EPSPs and the slow
peptidergic EPSP can enhance firing. A, Chart record of
fast EPSPs before and during a slow EPSP generated by
stimulation of the preganglionic C pathway (*). The large fast
responses are truncated action potentials. After stimulation of the
slow EPSP there was a clear increase in the proportion of secondary
EPSPs that triggered action potentials. B, Plot of
subthreshold EPSP amplitudes showing a slight reduction in the size of
nicotinic responses during the slow EPSP and an apparent increase in
the failures of fast transmission.
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A theory of ganglionic integration
The experimental results show that convergence typifies the normal
synaptic input to secretomotor B neurons. The importance of this
observation lies in the minimal nature of the convergence. Because frog
B neurons receive so few secondary synapses, their properties can be
resolved more easily than can those in homologous mammalian or avian
ganglia. This simplicity has enabled us to demonstrate that
interactions between minimal numbers of secondary synapses are
sufficient to excite sympathetic neurons to threshold. The results thus
frame an interesting question about the physiological role of secondary
synapses in B neurons and elsewhere. Can a few weak nicotinic synapses
contribute in any meaningful way to the integrated output of
sympathetic neurons? The question is deceptively simple. Efforts to
answer it in seemingly the most direct manner, by intracellular
recording in vivo, have yielded equivocal results because of
technical difficulties. In essence, such experiments are hampered by
limitations of synapse identification, which will be discussed later,
and by the fact that anesthesia depresses and disrupts sympathetic
behaviors (Jänig, 1995
). Taking a different approach, we
developed a theoretical model of ganglionic integration that combines
our results with the available descriptions of sympathetic activity
in vivo.
To construct the model, we first considered the total number of
synapses formed by each preganglionic neuron. Organization of the
preganglionic neural unit can be inferred from estimates of synaptic
divergence and convergence. Preganglionic to postganglionic divergence
(D) is 23 in the B system, on the basis of cell
counts (Horn et al., 1987
; Horn and Stofer, 1988
). Convergence, as was noted previously, may follow a general n + 1 rule in
paravertebral ganglia across phylogeny, with each cell receiving
n secondary synapses and one primary synapse. The present
experimental results indicate n
1.2 in the B system.
However, little is known about the coupling between primary and
secondary synaptic connections. Are all synapses formed by one
preganglionic pool of neurons, or do they arise from specialized
subsets of preganglionic neurons having distinct patterns of
connectivity? We assumed the simplest case, a uniform population of
presynaptic neurons in which each cell forms both types of nicotinic
synapses. The resulting preganglionic neural unit would then drive 50 ganglion cells [D × (n + 1)] through 23 primary synapses and 27 secondary synapses (Fig.
8A). The assumption of
uniform synaptic connectivity also implies that each ganglionic neuron
contributes equally to total postsynaptic activity. In other words the
output of the entire circuit can be deduced by considering a single
ganglion cell with n + 1 independent inputs.

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Figure 8.
Schematic depictions of the preganglionic neural
unit (A) and its consequences for ganglionic
integration (B). A, The average
preganglionic sympathetic B neuron forms 23 primary nicotinic synapses
and 27 secondary nicotinic synapses on 50 B neurons in paravertebral
ganglia 9 and 10. B, A model depicts the theoretical
input-output relation between preganglionic and ganglionic activity.
Preganglionic divergence sets the boundaries of synaptic amplification.
The lower boundary for ganglionic output is defined by the divergence
of primary nicotinic synapses. The upper boundary is set by the sum of
primary and secondary divergence. Synaptic gain within these limits is
regulated by preganglionic patterns of activity and by mechanisms that
enhance or inhibit the strength of secondary nicotinic synapses. The
modulatory mechanism can include presynaptic facilitation of
transmitter release and effects mediated by the metabotropic actions of
neurotransmitters.
|
|
Boundary conditions for postsynaptic output can be derived from two
idealized extremes of presynaptic activity. The lower boundary is
defined by the case in which all preganglionic neurons are
synchronously activated at a constant frequency
(fpre). This condition occurs
when preganglionic nerves are repetitively stimulated with supramaximal
shocks, a paradigm commonly used in studies of isolated ganglia
(Jobling and Horn, 1996
; Thorne and Horn, 1997
). By definition,
synchronous stimulation will always coactivate primary and secondary
synapses. Because the primary EPSPs alone are sufficient to fire an
action potential in every cell (Shen and Horn, 1995
) the entire
postsynaptic population will fire at the presynaptic rate
fpre. Primary synapses thus set the
lower boundary for the ganglionic input-output relation (Fig.
8B). This relation is invariant and thus hard-wired
over the entire physiological range of preganglionic frequencies (i.e.,
<20 Hz), because of the high safety factor of transmission at the
primary synapse (Shen and Horn, 1995
). In the entire system, the
minimum output of postsynaptic action potentials in a given time
interval, Amin(
t), will
depend on the number of preganglionic neurons
(Npre), the preganglionic divergence
factor (D), and the preganglionic firing rate
(fpre):
|
(1)
|
The upper boundary for ganglionic output can be derived by
considering low-frequency asynchronous preganglionic activity, a
condition that better describes physiological behavior in
vivo (Ivanoff and Smith, 1995
; McLachlan et al., 1997
, 1998
). In
the limit as the average fpre
0, primary and secondary EPSPs will always occur at different times
because they arise independently from different neurons whose activity
is asynchronous. Because secondary EPSPs evoked at low rates are
subthreshold by definition, ganglionic output driven by low-frequency
asynchronous activity should normally approximate the lower boundary
described by Equation 1. However, if some form of modulation acted to
enhance the strength of secondary synapses during asynchronous
activity, then the postsynaptic firing rate would increase. Such a
possibility is suggested by the observation that the slow peptidergic
EPSP can convert fast EPSPs produced by a single secondary synapse from
subthreshold to suprathreshold in strength (Fig. 7). In the upper limit
for this type of effect, every secondary EPSP in addition to every primary EPSP would trigger an action potential. The upper boundary for
ganglionic output
Amax(
t) is therefore the
sum of all primary and secondary synaptic events (Fig.
8B):
|
(2)
|
At the boundaries defined by Equations 1 and 2, anatomical
divergence serves to amplify overall preganglionic activity in the B
system by a factor ranging from 23 to 50 (Fig. 8B).
It should be noted that Equations 1 and 2 also imply that nicotinic
EPSPs do not trigger repetitive firing, a condition consistent with our
experimental observations.
We next evaluate how the interaction between secondary EPSPs
can regulate ganglionic amplification between its boundaries. Temporal
interactions arising from presynaptic facilitation (Fig. 5) and
postsynaptic summation (Fig. 6) are each capable of initiating action
potentials. One can therefore define a window of summation (tsum) as the time during which
generation of two secondary EPSPs initiates an action potential with
100% certainty. As part of the model, we also propose that presynaptic
facilitation and metabotropic modulation (e.g., slow EPSPs) each
regulate the gain of ganglionic transmission by altering
tsum (Fig. 8B). In
this approach, ganglionic amplification can be estimated by calculating
the number of coincidences between secondary EPSPs within a given
temporal window. The probability of such coincidences can be predicted
if one postulates that the generation of EPSPs is a random process, an
idea with some experimental basis in mammalian ganglia (McLachlan et
al., 1998
). For randomly timed synaptic events that occur at an average
rate
, the intervals between successive EPSPs will be exponentially
distributed (Colquhoun, 1971
). The probability that two secondary EPSPs
occur within an interval t
tsum is:
|
(3)
|
Given the previous assumption of preganglionic uniformity,
= n fpre, and thus:
|
(4)
|
P(t
tsum) will vary from 0 to 1 with
increases in either the average preganglionic firing rate, the window
of summation, or the number of converging secondary synapses (Fig.
9, left column; Equation 4). Because precise physiological values for
tsum are unknown, the simulations in
Figure 9 explore a range (10-100 msec) consistent with secondary EPSP
duration (e.g., Fig. 1C, 30 msec) and the upper temporal
limit for suprathreshold facilitation (e.g., Fig. 5C,D,
80-100 msec).

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Figure 9.
Quantitative predictions based on a stochastic
model of synaptic amplification. Calculations were performed for three
levels of synaptic convergence. A, Convergence of 1.2 secondary synapses and one primary synapse reflects the average
observed in our survey of B neurons. B, Convergence of
three secondary synapses and one primary synapse mimics the maximal
polyinnervation observed in individual B neurons (e.g., Fig.
2C) and may be more characteristic of vasomotor C
neurons (Dodd and Horn, 1983b ). C, Convergence of nine
secondary synapses and one primary synapse approximates the innervation
pattern found in the SCG of the rat and guinea pig (Purves et al.,
1986 ). Left Column, Graphs plot Equation 4, the probability that two secondary EPSPs will coincide to trigger an
action potential within a window of summation
(tsum; range, 10-100 msec), as a
function of the preganglionic firing rate
fpre. Middle
Column, The predicted synaptic transformation of
preganglionic firing rates based on Equation 6 and then limited so that
secondary synapses never can drive action potentials at rates >10 Hz
is illustrated. Dashed lines in the
synaptic transforms depict the lower boundary, in the absence of
secondary synaptic activity. Right
Column, The cellular synaptic gain relations that were
calculated using Equation 7 and the data in the middle
column are illustrated. For each set of conditions,
synaptic gain is tuned in a nonlinear manner to presynaptic frequencies
that lie between 1 and 8 Hz. The tuning shifts to lower
fpre with increases in either
tsum or secondary synaptic convergence
(n). Dashed
horizontal lines in the three sets of
gain relations mark the theoretical upper limit (n + 1)
for synaptic amplification at each level of convergence.
|
|
The firing rate of each ganglionic neuron
(fout) will be approximated by
the sum of firing rates attributable to primary synapses (f1) and secondary synapses
(f2):
|
(5)
|
Because f1 = fpre and
f2 =
P(t
tsum) = n
fpre P(t
tsum), Equation 5 can be rewritten:
|
(6)
|
An oversimplification in Equation 6 is its failure to place an
upper limit on postganglionic firing. Clearly, B neurons do not fire at
infinitely high frequencies, and postsynaptic action potentials will
transiently nullify the interaction between secondary synapses. One
solution to this problem would be to expand the model with equations
for the refractory period and inhibitory afterpotential after the
action potential. Instead, we limited firing rates in the model using a
simpler approach. Postsynaptic firing frequencies calculated from
Equation 6 were manually adjusted in accord with two constraints:
(1) that secondary nicotinic synapses could never drive B cells
to fire faster than 10 Hz and (2) that primary synapses could drive
cells at higher frequencies (up to 20 Hz). Both assumptions are
physiologically plausible (Ivanoff and Smith, 1995
; Shen and Horn,
1995
), and their precise values are not critical for understanding the
model's essential predictions. Figure 9 (middle
column) illustrates three examples of the resulting input-output relations for cellular firing rates produced by different degrees of convergence. Several features are worth noting. First, the
diagonal (dashed lines; slope of unity)
corresponds to the lower boundary attributable to primary nicotinic
synapses alone. Second, increases in
tsum act systematically to enhance
fout. These relations therefore
reproduce the basic input-output relation derived initially from
consideration of boundary conditions (Fig. 8B).
Third, the higher the level of secondary synaptic convergence, the
larger the increase in fout.
Dividing the ganglionic output frequency by the preganglionic input
frequency gives a measure of cellular synaptic gain
(g):
|
(7)
|
Plotting g as a function of
fpre (Fig. 9, right
column) reveals the theoretical nonlinear tuning of synaptic
gain in sympathetic ganglia. In the absence of secondary synapses or
with low preganglionic frequencies, g = 1. Increases in
either tsum or n
systematically enhance g. Because connections in our model
have been assumed to be uniform, the total gain in activity
(G) for the entire population of ganglionic B neurons
reflects cellular gain and preganglionic divergence
(D):
|
(8)
|
Because D is invariant over time, the dynamic
consequences of secondary synapses for ganglionic function can be
understood in terms of their effect on cellular gain.
The model predicts that secondary nicotinic synapses enable sympathetic
ganglia to function as activity-dependent synaptic amplifiers. Even
with only 1.2 secondary synapses and a narrow window of summation (10 msec), preganglionic firing at 7 Hz is amplified by 10% (i.e.,
g = 1.1). Increasing
tsum to 20 msec almost doubles the
amplification (19%), and when tsum = 50 msec, the amplification increases to 41%. These effects
grow markedly with higher levels of secondary synaptic convergence, and
in addition, g becomes tuned to lower frequencies (Fig. 9).
The model therefore predicts that increases in
tsum, whether produced by presynaptic facilitation or slow metabotropic EPSPs, will serve to enhance g.
The nonlinear dependence of synaptic gain (g)
on the preganglionic firing rate suggests a general mechanism for
regulation of the sympathetic outflow (G). Although
noisy when observed on a moment-to-moment basis, peripheral sympathetic
activity in mammals contains oscillations that can be detected readily
by multiunit recording and correlational analysis (McAllen and Malpas,
1997
). These oscillations are generated in brainstem circuits, which in
turn drive preganglionic activity. Behaviors that enhance
postganglionic sympathetic activity are associated with increased
coupling to the oscillating activity in the brainstem. We propose that
this entrainment of preganglionic activity to oscillations generated by
the brainstem serves to regulate the ganglionic amplification of the
sympathetic outflow (G) that arises from secondary
nicotinic synapses. To illustrate the point, consider a case in which
presynaptic activity is asynchronous, n = 3, and
tsum = 20 msec (Fig. 9B). Under such conditions, the model predicts that cellular gain reaches a
maximal value of 1.77 when fpre = 5 Hz. Now for simplicity, assume that
fpre remains asynchronous but that it
alternates every 0.5 sec between 5 and 1 Hz. This would drive
postsynaptic firing (fout) at
frequencies alternating between 8.88 and 1.17 Hz, with an overall
average of 5.02 Hz. By contrast, constant preganglionic firing at 3 Hz
would generate the same number of preganglionic action potentials, but
it would drive fout at only 4.48 Hz.
Thus, the crude oscillation generates 12% more postsynaptic action
potentials than does a constant rate of presynaptic firing. Because
this effect is a direct consequence of the nonlinear gain of secondary synapses, its magnitude will vary with n and
tsum. In principle, the sparse
convergence found in autonomic ganglia is very efficient because it
enables postsynaptic output to be regulated by the coherence of
presynaptic activity (i.e., synchronization), without any absolute
requirement for a change in the average presynaptic firing rate.
 |
DISCUSSION |
We have presented evidence that multiple rather than single
innervation typifies the normal synaptic input to sympathetic B
neurons. Although secondary synapses were much weaker than primary synapses, they could initiate action potentials via several mechanisms. These observations form the basis of a simple theory in which sympathetic ganglia function as synaptic amplifiers. Ganglionic gain is
postulated to have a fixed component mediated by primary synapses and a
variable component mediated by secondary synapses. The theory also
links the seemingly disparate phenomena of non-nicotinic synapses in
ganglia, oscillatory activity in the brainstem, and developmental
mechanisms that specify the strength and convergence of ganglionic
synapses. We propose that their common purpose is to regulate synaptic
amplification of the sympathetic outflow in amphibians and other vertebrates.
Ipsilateral origin of secondary synapses
Secondary synapses on sympathetic B cells were fortuitously
discovered when Ivanoff and Smith (1995)
recorded natural asynchronous activity in vivo. The extent of subthreshold synaptic
activity seen under these conditions was so unexpectedly high that they proposed the existence of a novel contralateral preganglionic pathway,
unlike any other found in birds or mammals. How else could one explain
that secondary EPSPs had escaped detection during numerous studies of
isolated amphibian ganglia, beginning in the 1960s? Our results show
that the level of secondary innervation is even greater than first
indicated. Because secondary synapses were readily demonstrated in
isolated unilateral preparations of ganglia, we would argue that they
arise via the conventional uncrossed preganglionic pathway. This
interpretation is consistent with previous retrograde tracing, which
showed a purely ipsilateral preganglionic projection to ganglia 9 and
10 (Horn and Stofer, 1988
). One might also ask whether impalement
damage could have obscured synaptic convergence in previous studies.
This explanation is untenable because secondary EPSPs were detected in
most cells, even those with relatively low Vm
and Rleak (Fig. 3). Instead it seems
likely that secondary EPSPs were overlooked in previous work because
their presynaptic stimulus thresholds are very close to those of
primary EPSPs and because their relatively small size made them appear insignificant.
Classification of nicotinic synapses by strength
Defining primary and secondary nicotinic synapses in terms of
their ability to initiate action potentials provides a direct link to
function. The safety factor for transmission at primary synapses is
very high in B neurons, and it remains so over a broad range of
stimulus parameters, even in the face of inhibitory modulation (Shen
and Horn, 1995
). By comparison, secondary EPSPs only reach threshold
via fluctuations of release (Fig. 1), facilitation (Fig. 5), summation
(Fig. 6), or modulation (Fig. 7). This clear distinction in strength
between primary and secondary synapses corresponds to a large
difference in quantal content. When compared with previous work (Connor
et al., 1983
; Shen and Horn, 1996
), the present data indicate that
m is 10-100 times larger at primary synapses than at
secondary synapses.
Primary and secondary synapses probably have mammalian counterparts,
which different authors have classified as "dominant" and
"strong" synapses and as "accessory" and "weak" synapses
(Skok and Ivanov, 1983
; Hirst and McLachlan, 1986
; Jänig and
McLachlan, 1992
; McLachlan et al., 1997
, 1998
). Although it is tempting
to combine these nomenclatures, important distinctions may exist. For
example, Skok and Ivanov (1983)
maintain that accessory EPSPs in the
rabbit SCG reach threshold only via summation, whereas McLachlan et al.
(1997
, 1998
) suggest that weak synapses in the rat SCG contribute
little at all to firing. Part of the problem in understanding the
precise role of weak/accessory synapses in mammalian ganglia stems from
difficulty in identifying individual synapses. In the rat and rabbit
SCG, convergence is much greater than that in amphibian ganglia. When
recording in vivo one cannot assign individual events to the
synapses from which they arise, unless the number of synapses is
minimal, as in frog B neurons. It is therefore extremely difficult in
mammalian ganglia to determine how many or which synapses contribute to
triggering a particular action potential, especially in
vivo. Another problem arises because some weak synapses in
mammalian ganglia may be strong enough to straddle threshold. This is
evident in records of action potentials whose afterpotentials lack any
sign of a fast EPSP [see McLachlan et al. (1997)
, their Fig.
2A]. It is unclear whether such connections should
be classified as strong weak synapses or as weak strong synapses. On
the basis of our functional criteria, we tentatively favor the former
possibility and would simply call them secondary synapses. Further
analysis may clarify the role of weak/accessory synapses in mammalian
sympathetic ganglia and their relation to secondary synapses in the bullfrog.
Size of the secondary synapse
Quantal content was 0.31-2.33 at secondary synapses, on the basis
of direct calculation from evoked and asynchronous EPSPs. The
distribution of evoked EPSP amplitudes was consistently humplike and
symmetric (Fig. 4C,D). This distribution together with a low m indicates that release at secondary synapses is not a
Poisson process (McLachlan, 1978
). The alternative of a binomial model was only successful in describing the data from one cell (Fig. 4D), where p = 0.56 and
N = 4. Assuming every synaptic bouton contains at least
one release site, the value of N in this cell suggests that
secondary synapses are formed by a handful of boutons. Further support
for this interpretation comes from the facilitation data (Fig.
5B). If one assumes that maximal facilitation (i.e., 3.2)
arises from an increase in p (Zucker, 1973
), then
p < 0.3. Given our estimates of m, this
would suggest that N is 1-7. At least three possibilities
could explain why data from most cells did not fit a standard binomial
model. First, p may vary at different secondary release
sites, leading to a compound binomial distribution of EPSP amplitudes
(McLachlan, 1978
; Zucker, 1989
). Second, EPSP amplitudes may have been
distorted by voltage-activated conductances (Fig. 1C).
Third, secondary synapses may be located on the postsynaptic axon at a
site removed from the soma, as seen in parasympathetic neurons (Dennis
et al., 1971
) especially during reinnervation (Roper and Taylor, 1982
).
These considerations highlight the need for information about the
postsynaptic location of secondary synapses and the properties of
individual release sites.
Organization of the preganglionic neural unit
The assumption of uniform synaptic connections implies each
preganglionic B neuron innervates 50 sympathetic B neurons (Fig. 8A). This resembles the preganglionic neural unit in
the mouse SCG, which contains 64 neurons (Purves et al., 1986
). As in
previous work on mammalian ganglia, we probably underestimated the true level of convergence and the size of the preganglionic neural unit,
because of methodology. When fractionating EPSPs with graded presynaptic stimuli, one only detects secondary axons whose thresholds are lower than that of the primary axon. Secondary EPSPs with high
stimulus thresholds are masked by the primary response. The assumption
of uniform connections therefore implies a twofold undercounting of
secondary synapses. As can be seen from the model (Fig. 9), doubling
convergence would markedly increase synaptic gain.
Uniform connections are not essential for synaptic gain. In the rabbit
SCG, there may be independent control of accessory and dominant
synapses (Skok and Ivanov, 1983
). If separate pools of preganglionic
neurons form primary and secondary synapses, then only the latter would
regulate activity-dependent synaptic gain. This would introduce another
layer of control beyond that predicted by our theory.
Brainstem oscillators and ganglionic amplification
Classical studies by Adrian and colleagues [see McAllen and
Malpas (1997)
] first demonstrated rhythmic sympathetic activity in
mammalian peripheral nerves, with some components phase-locked to the
cardiac cycle. The oscillatory activity originates in the rostral
medulla, within circuits that drive spinal preganglionic neurons.
Progressive activation of cardiovascular pressor reflexes can intensify
these oscillations (McAllen and Malpas, 1997
). Nonvascular sympathetic
cell groups may also be driven by oscillators. Our theory (Fig. 9)
predicts that oscillations matched to the tuning of ganglionic gain
will amplify the sympathetic outflow. Further elaboration and testing
of this hypothesis will require additional attention to the
distinctions between functional modalities in the mammalian sympathetic
system (Jänig, 1995
).
Developmental significance of convergence
The reason convergence of secondary nicotinic synapses
(n) varies within sympathetic ganglia and between
species might be related to regulation of ganglionic amplification.
Perhaps sympathetic neurons controlling different peripheral targets
require different levels of amplification. It is, for example, more
important to maintain tight temporal control over blood pressure than
piloerection. Higher open-loop gain in the circuitry controlling
vascular resistance would enable blood pressure to be clamped more
rapidly and accurately at its physiological set point. Developmental
mechanisms that establish ganglionic convergence may regulate in this
manner the amplification of activity by functional subsets of
sympathetic neurons. Interspecies variation of convergence would allow
for scaling of function in animals of different sizes, as suggested by
Purves et al. (1986)
.
Conclusion
Experiments to analyze a simple example of synaptic convergence
have led to a general theory of ganglionic integration, which postulates that sympathetic ganglia are synaptic amplifiers. In the
bullfrog B system, we would expect that the effects of ganglionic gain
need not be large to be significant. The mucous glands driven by B
cells can respond to single preganglionic stimuli and are half-maximally activated by 0.2 Hz stimulation (Jobling and Horn, 1996
). Because one extra action potential every few seconds can have
big effects, ganglionic amplification could appear subtle in
vivo.
 |
FOOTNOTES |
Received June 7, 1999; revised Nov. 5, 1999; accepted Nov. 11, 1999.
This work was supported by a postdoctoral fellowship to P.K. from the
Swedish Foundation for International Cooperation in Research and Higher
Education (Stiftelsen för Internationalisering au Högre
Utbildning och Forskning) and by National Institutes of Health
Grant NS21065 to J.P.H. We thank Eric Frank for advice about quantal
analysis, and we are grateful to Elias Aizenman, Jed Hartings, Hermann
Schobesberger, and the anonymous reviewers for many helpful comments.
Correspondence should be addressed to Dr. John P. Horn, Department of
Neurobiology, University of Pittsburgh, School of Medicine, E1440
Biomedical Science Tower, Pittsburgh, PA 15261. E-mail: jph+{at}pitt.edu.
Dr. Karila's present address: Preclinical Development, B209:2,
AstraZeneca R&D Södertälje, SE-151 85 Södertälje, Sweden.
 |
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