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Excitatory Muscarinic Modulation Strengthens Virtual Nicotinic Synapses on Sympathetic Neurons and Thereby Enhances Synaptic Gain Department of Neurobiology and Center for the Neural Basis of Cognition, University of Pittsburgh School of Medicine, Pittsburgh, Pennsylvania Address for reprint requests and other correspondence: P.H.M. Kullmann, Department of Neurobiology, University of Pittsburgh School of Medicine, E 1440 Biomedical Science Tower, Pittsburgh, PA 15261 (E-mail: pkullman/at/pitt.edu). The publisher's final edited version of this article is available free at J Neurophysiol See other articles in PMC that cite the published article.Abstract Acetylcholine excites many neuronal types by binding to postsynaptic m1-muscarinic receptors that signal to ion channels through the Gq/11 protein. To investigate the functional significance of this metabotropic pathway in sympathetic ganglia, we studied how muscarinic excitation modulated the integration of virtual nicotinic excitatory postsynaptic potentials (EPSPs) created in dissociated bullfrog B-type sympathetic neurons with the dynamic-clamp technique. Muscarine (1 μM) strengthened the impact of virtual synapses by reducing the artificial nicotinic conductance required to reach the postsynaptic firing threshold from 20.9 ± 5.4 to 13.1 ± 3.1 nS. Consequently, postganglionic action potential output increased by 4–215% when driven by different patterns of virtual presynaptic activity that were chosen to reflect the range of physiological firing rates and convergence levels seen in amphibian and mammalian sympathetic ganglia. In addition to inhibiting the M-type K+ conductance, muscarine activated a leak conductance in three of 37 cells. When this leak conductance was reproduced with the dynamic clamp, it also acted to strengthen virtual nicotinic synapses and enhance postganglionic spike output. Combining pharmacological M-conductance suppression with virtual leak activation, at resting potentials between −50 and −55 mV, produced synergistic strengthening of nicotinic synapses and an increase in the integrated postganglionic spike output. Together, these results reveal how muscarinic activation of a branched metabotropic pathway can enhance integration of fast EPSPs by modulating their effective strength. The results also support the hypothesis that muscarinic synapses permit faster and more accurate feedback control of autonomic behaviors by generating gain through synaptic amplification in sympathetic ganglia. INTRODUCTION The synaptic release of acetylcholine coactivates nicotinic and muscarinic receptors in sympathethic ganglia, initiating a fast nicotinic excitatory postsynaptic potential (EPSP) and slow muscarinic events that include an EPSP, an inhibitory postsynaptic potential (IPSP), and presynaptic inhibition (Eccles and Libet 1961; Libet and Tosaka 1969; Shen and Horn 1996). Here we examine how postsynaptic muscarinic excitation modulates the integration of nicotinic EPSPs arising from preganglionic synapses that converge on sympathetic neurons. To simplify the experimental analysis, virtual nicotinic EPSPs were created on secretomotor B-type bullfrog sympathetic neurons using the dynamic-clamp method (Kullmann et al. 2004). This permitted us to probe the consequences of postsyn-aptic muscarinic excitation with computer-generated fast synaptic conductance changes whose strength and timing could be precisely controlled and then reproduced in different cells. Muscarinic excitation of sympathetic B neurons is mediated by suppression of M-type K+ conductance (gKM) (Adams and Brown 1982; Brown and Adams 1980) and activation of a cationic leak conductance (gleak) (Kuba and Koketsu 1976; Tsuji and Kuba 1988). In mammals, this pathway includes m1-muscarinic receptors (Marrion et al. 1989) coupled through lipid hydrolysis (Zhang et al. 2003) to M-channels composed of KCNQ2/3 subunits (Selyanko et al. 2002; Shapiro et al. 2000; Wang et al. 1998). Early studies of amphibian B neurons demonstrated that a net decrease in membrane conductance causes muscarinic excitation (Weight and Votava 1970), leading to the proposal that this mechanism could potentiate fast EPSP amplitudes (Schulman and Weight 1976). Subsequent discovery of gKM and its voltage dependency revealed that muscarinic excitation increases postsynaptic excitability, as manifest by repetitive firing in response to depolarizing stimuli (Brown and Adams 1980). However, the consequences for ganglionic integration of enhanced fast EPSP amplitude and repetitive firing have remained unclear. This problem’s significance extends beyond autonomic ganglia. Muscarinic excitation also occurs in the cerebral cortex (McCormick and Prince 1985), hippocampus (Cole and Nicoll 1984; Dodd et al. 1981), and striatum (Shen et al. 2005). In these circuits, it promotes repetitive firing and oscillatory activity during various physiological and disease states, including memory retrieval (Hasselmo and McGaughy 2004), motor activation (Shen et al. 2005), and epilepsy (Biervert et al. 1998; Cooper et al. 2000, 2001; Singh et al. 1998). However, the complexity of brain circuits makes it difficult to understand in detail how muscarinic regulation of repetitive firing in single cells shapes circuit dynamics (Cobb and Davies 2005). Our analysis of muscarinic modulation makes use of a theory of ganglionic integration that reduces circuit behavior to that of a single cell (Karila and Horn 2000) together with dynamic-clamp tools capable of testing the theory (Kullmann et al. 2004). Interestingly, previous simulations of a conductance-based model sympathetic neuron predicted that muscarinically enhanced repetitive firing would not influence ganglionic integration (Schobesberger et al. 1999, 2000; Wheeler et al. 2004). Instead, they suggested that muscarine would strengthen subthreshold nicotinic EPSPs and increase synaptic amplification of preganglionic activity (Schobesberger et al. 2000; Wheeler et al. 2004). We now describe new dynamic-clamp experiments to test these ideas using up to ten independent converging nicotinic synapses together with bath-applied muscarine and a virtual cationic leak conductance. METHODS All experiments were done on enzymatically dissociated sympathetic B-type neurons from bullfrog (Rana catesbeiana) paravertebral ganglia 9 and 10, maintained in culture for ≤2 wk at room temperature (23°C) on glass coverslips coated with poly-D-lysine (Wheeler et al. 2004). The ganglia were obtained from adult bullfrogs (males and females, 5–7 in.) that were killed by rapid brain stem transection and double-pithing in a procedure approved by the Institutional Animal Care and Use Committee at the University of Pittsburgh. Electrophysiological recordings and dynamic clamp Whole cell perforated-patch recordings were made at room temperature using polished pipettes (1–5 MΩ) and amphotericin-B as the ionophore. Details of the dynamic-clamp system were previously described elsewhere (Kullmann et al. 2004). Briefly, the system included an Axoclamp 2B amplifier (Molecular Devices, Sunnyvale, CA), an embedded Pentium III controller running under a real-time operating system (National Instruments, Austin, TX), a Windows-based host computer, and G-clamp version 1.2 software (http://hornlab.neurobio.pitt.edu) written in the LabVIEW-RT 6.1 programming environment (National Instruments). The pipette access resistance (5–15 MΩ) was monitored throughout each experiment and compensated using the bridge circuitry of the current-clamp amplifier. Dynamic-clamp measurements were performed at a feedback loop rate of 20 kHz and filtered at 3 kHz. Conventional current-clamp data were sampled at 10 kHz and filtered at 3 kHz, whereas slow voltage-clamp measurements of steady-state current–voltage (I–V) data were sampled at 5 kHz and filtered at 1 kHz. Rleak was determined as the slope of the linear part of the I–V relation, typically in the range −65 to −85 mV. Virtual nicotinic synapses were implemented according to Isyn(t) = k × gsyn(t) × (VM − Erev). Synaptic conductance as a function of time gsyn(t) was modeled as the sum of two exponentials, used to fit experimentally measured synaptic currents, with time constants of 1 ms for the rising phase and 5 ms for the falling phase (Schobesberger et al. 2000). The synaptic reversal potential Erev was set to 0 mV (Shen and Horn 1995) and synaptic strength was controlled by adjusting the dimensionless scaling factor k. Threshold-gsyn, defined as the synaptic conductance required to trigger an action potential, was determined with an automated binary search routine that delivered virtual nicotinic EPSPs at a rate of 0.5 Hz (Kullmann et al. 2004). By systematically varying the peak amplitude of the synaptic conductance based on its ability to trigger an action potential, the search routine generally found threshold-gsyn within 10 trials. During this process, the dynamic clamp continually measured membrane potential VM, calculated the appropriate synaptic current Isyn, and injected it into the cell (Kullmann et al. 2004). The virtual leak conductance gleak, used to mimic the leak component of muscarinic excitation, was implemented as time and voltage invariant with a reversal potential of 0 mV (Schobesberger et al. 2000; Tsuji and Kuba 1988). To create patterns of virtual nicotinic EPSPs that mimic activity in vivo, the timing of synaptic events was modeled as a Poisson process (Karila and Horn 2000; Wheeler et al. 2004) with Neurosim 2.1 (http://hornlab.neurobio.pitt.edu), a MATLAB program written by Dr. D. W. Wheeler. The program generated the required random numbers and constructed conductance waveforms describing activity of one strong primary synapse and a specified number of weak secondary synapses. During each experiment, G-clamp then scaled the primary and secondary conductance template files relative to threshold-gsyn, as measured for each cell, before combining them into one final template that commanded the dynamic clamp and measured synaptic gain (Wheeler et al. 2004). Scaling of conductance templates was based on the mean value of at least three consecutive measurements of threshold-gsyn. Conductance templates with a mean rate of synaptic activity of 5 Hz were 40 s long (about 200 events per synapse), whereas templates with a mean rate of 0.5 Hz were 60–200 s long (about 30–100 events per synapse). Solutions and chemicals The Ringer solution contained (in mM): 115 NaCl, 2 KCl, 1.8 CaCl2, and 4 NaHEPES, adjusted to pH 7.3. The pipette solution contained (in mM): 110 potassium gluconate, 10 NaCl, and 5 Na-HEPES, adjusted to pH 7.2. Patch pipettes were backfilled with this solution plus 250 μg/ml amphotericin-B (Sigma–Aldrich, St. Louis, MO). (−)-Muscarine chloride was also obtained from Sigma–Aldrich. Data analysis In vivo synaptic input to sympathetic neurons generally consists of one strong synapse, known as the primary, which invariably elicits an action potential, and a variable number of weak, subthreshold synapses, known as secondaries (Karila and Horn 2000). For simplicity, it was assumed that primary and secondary synapses originate from a common population of preganglionic neurons and therefore that all synapses are active at the same mean rate. As in previous work, synaptic gain was defined as the mean postsynaptic firing rate divided by the mean firing rate of virtual presynaptic neurons (Karila and Horn 2000; Wheeler et al. 2004). In this scheme, when action potentials are generated solely by the strong primary synapse, the synaptic gain = 1 and when additional action potentials are generated by summation of secondary EPSPs the gain rises to >1. Synergy between gKM and gleak was calculated as the difference between the reduction in threshold-gsyn for the combined conductance changes and that for the sum of their individual effects, divided by the latter and multiplied by 100 (Schobesberger et al. 2000). If, for example, the combined conductances reduced threshold- gsyn by 3 nS and the individual effects were 1 nS each, then this would correspond to a synergy of 50% {[(3 nS − 2 nS)/2 nS] × 100}. Action potential threshold was measured as the maximum second derivative of membrane potential with respect to voltage in phase space (method II in Sekerli et al. 2004). Grouped data and error bars in figures reflect the means ± SE, except in Fig. 4C where the error bars indicate SDs. Single statistical comparisons between grouped data were made using two-sided t-tests, whereas multiple comparisons were conducted with a repeated-measures ANOVA and Tukey’s test. P < 0.05 was the criterion for significance.
RESULTS Muscarine strengthens nicotinic synapses by enhancing excitability In principle, muscarinic EPSPs could serve to modulate ganglionic integration by enhancing the efficacy of nicotinic synapses or by allowing nicotinic EPSPs to drive repetitive postsynaptic firing (Brown and Adams 1980; Schulman and Weight 1976). To distinguish between these possibilities we examined how muscarine modulated the postsynaptic response to virtual nicotinic EPSPs of defined strength. Bath-applied muscarine increased the efficacy of virtual nicotinic synapses by lowering threshold-gsyn in a manner that was reversible (Fig. 1, A–C) and dose dependent. Muscarine (50 nM) reduced threshold-gsyn to 87.9 ± 4.0% of control (three cells), 1 μM muscarine reduced threshold-gsyn to 63.7 ± 2.6% of control (26 cells, P < 0.002, paired t-test), and 30 μM muscarine reduced threshold-gsyn to 37.2 ± 2.3% (four cells). For 1 μM muscarine, where most data were obtained, the reduction in threshold-gsyn ranged between 31.3 and 86.0% from a mean of 20.9 ± 5.4 nS in control Ringer to 13.1 ± 3.1 nS in muscarine. These effects could not be explained by a hyperpolarizing shift in the threshold membrane potential for spike initiation (Fig. 1A), an action that one might expect to enhance excitation by fast EPSPs. To the contrary, 1 μM muscarine caused a slight depolarization of action potential threshold from −22.4 ± 1.3 to −21.4 ± 1.4 mV (24 cells, P < 0.01, paired t-test). Washout of the agonist often resulted in a transient overrecovery of threshold-gsyn (Fig. 1B), whose time course resembled the well-known overrecovery of gKM seen after its metabotropic suppression (Pfaffinger 1988; Tokimasa et al. 1996).
In addition to reducing threshold-gsyn, 1 μM muscarine depolarized Vrest (Fig. 1D) by 6.5 ± 0.7 mV (26 cells), thereby mimicking the slow EPSP recorded from intact ganglia. Although it could be argued that the muscarinic reduction in threshold-gsyn arises simply from membrane depolarization, the correlation between these two effects (Fig. 1E) was weak (r2 = 0.253, P < 0.01, Pearson correlation test). Previous computational simulations indicate that this behavior originates from the nonlinear voltage- and time-dependent gating of gKM interacting with the resting leak conductance (Schobesberger et al. 2000). To test the idea that membrane depolarization could not fully account for the muscarinic effect on threshold-gsyn, an additional set of experiments was run in which steady current injection was used first to null out the depolarization caused by muscarine and then after washout to mimic the depolarization (Fig. 2, A and B). In seven of seven cells, injection of hyperpolarizing current reduced but did not eliminate the reduction of threshold-gsyn by muscarine. In these same cells, simple injection of depolarizing current also reduced threshold-gsyn, but not to the same extent as muscarine. In addition to these tests, we examined in three of these cells how muscarine and current injection influenced the shape of subthreshold virtual nicotinic EPSPs (Fig. 2, C and D). In every cell, muscarine had very little effect on fast EPSP amplitude while causing a lengthening of EPSP duration. These results confirm the prediction from previous numerical simulations of the same experiment (see Fig. 2 in Schobesberger et al. 1999).
Unlike the robust effect of muscarinic excitation on the efficacy of nicotinic stimulation, virtual fast EPSPs never initiated repetitive firing of action potentials either in control Ringer or after exposure to muscarine (Figs. 1A, ,5B,5B, and and7A).7A). Nonetheless, B neurons were capable of repetitive firing. Their normal propensity to fire a single action potential in response to a rectangular pulse of depolarizing constant current was readily converted to repetitive firing by addition of muscarine (Fig. 3A). Indeed the conversion from phasic to tonic firing constitutes the classic signature of muscarinic excitation (Adams et al. 1982). In a few cells, the depolarization produced by high muscarine concentrations (≥10 μM) led to spontaneous firing, but this behavior did not require nicotinic or any other form of stimulation.
Previous studies indicate that muscarine activates a branched signaling pathway in bullfrog B neurons to suppress gKM and activate gleak (Tsuji and Kuba 1988). To assess whether both conductance changes occurred under our experimental conditions, steady-state I–V relations were constructed with either voltage-clamp or current-clamp measurements, which yielded similar data. In 34 of 37 cells, muscarine inhibited only gKM, which was evident in the I–V relation as a voltage-dependent inward current activated positive to −70 mV (Fig. 3B). In the three other neurons, the muscarinic current had two components corresponding to suppression of IM and activation of an inward leak conductance (0.98 ± 0.56 nS) with an extrapolated reversal potential of −20 ± 9.3 mV (Fig. 3C). In all three cells, the leak component of the muscarininc response recovered on washout, thereby indicating it was not an artifact of cell damage or deterioration. Both the increase in leak conductance and the decrease in M-conductance had the effect of linearizing the I–V relation in the region between the resting potential (−55 to −70 mV) and the spike threshold (−20 to −30 mV). This resulted in depolarization and a reduction of the inward synaptic current required to reach threshold for generating an action potential. The next set of experiments examined how gKM and gleak interact to control the efficacy of virtual nicotinic EPSPs. To assess the impact of each conductance type, we exploited the fact that most neurons in our preparations did not exhibit the muscarinically controlled gleak. Instead we used the dynamic clamp to implement a virtual leak response in neurons that responded to bath-applied muscarine with a pure gKM response. This approach permitted independent manipulation of the two conductances. In the experiment illustrated in Fig. 4A, threshold-gsyn was measured repeatedly in the presence and absence of a small virtual gleak (0.25 nS). Plotting these data against time yielded one baseline describing threshold-gsyn without the leak and a second lower baseline, which reflected the ability of the leak to reduce threshold-gsyn. On application of muscarine both baselines shifted to lower values, but the difference between them increased. This was because muscarine had a greater effect in the presence of the leak conductance. In other words, the increase in gleak and reduction in gKM interacted synergistically to reduce threshold-gsyn. This experimental protocol was repeated 25 times in 15 neurons using different levels of virtual gleak (0.1–1 nS) comparable to those activated by a muscarinic agonist (Tsuji and Kuba 1988). Figure 4B illustrates grouped data from 11 of these trials, collected from seven neurons where the interaction between gleak and gKM was synergistic. In these cases, adding gleak alone reduced threshold-gsyn to 90.1 ± 2.1% of control and suppressing gKM alone reduced threshold-gsyn to 81.4 ± 3.7% of control, whereas combining the two changes reduced threshold-gsyn to 63.9 ± 4.3% of control, which was a greater change than the arithmetic sum of the two individual effects (71.5 ± 3.9% of control). This behavior contrasted to the other 14 trials where no synergy or slight negative synergy was seen. Comparing the positive and negative synergy data (Fig. 4C) revealed a significant difference in resting membrane potentials under control conditions before manipulation of gleak and gKM (positive synergy: −54.4 −1.8 mV; negative synergy: −63.4 ± 1.4 mV; P < 0.001; two-tailed unpaired t-test). The likely explanation again derives from the voltage dependency of gKM (Schobesberger et al. 2000). Hyperpolarized resting potentials are associated with low activation of gKM, whereas more depolarized resting potentials can fall into a region where small depolarizations cause large activation of gKM (Fig. 3B). Accordingly, the effects of gleak and gKM should add supra-linearly when the depolarization produced by the leak causes a large increase in the resting M-current. To test this idea, synergy was measured in four cells with low resting potentials and then a second time after steady currents were injected to produce small depolarizations (Fig. 4D). In all four cases, depolarization led to an increase in synergy between gleak and gKM as assayed by the reduction in threshold-gsyn. Muscarinic modulation of synaptic gain Synaptic amplification of activity can arise in sympathetic ganglia from the summation of fast nicotinic EPSPs that are subthreshold in strength (Karila and Horn 2000; Wheeler et al. 2004). Finding that muscarinic excitation enhanced the effective strength of nicotinic synapses therefore implies a concomitant increase in synaptic gain. To test this prediction, B neurons were stimulated with defined patterns of noisy virtual nicotinic synaptic input in the presence and absence of muscarine (Fig. 5). The templates of virtual synaptic conductance used to drive the dynamic clamp and measure synaptic gain were defined by parameters describing nicotinic convergence, the strength of nicotinic synapses, and the mean firing rate of preganglionic neurons. Specific values for these parameters were chosen to be physiologically realistic and to span a range of conditions that elicit different baseline levels of synaptic gain in simulations and dynamic-clamp recordings (Karila and Horn 2000; Wheeler et al. 2004). All synaptic templates incorporated the n = 1 pattern of nicotinic convergence seen in paravertebral sympathetic ganglia (Karila and Horn 2000). To reproduce this pattern, each template contained three or nine secondary synapses whose resting strength was set to either 50 or 90% of threshold-gsyn and one primary synapse whose strength was always set to 10 times threshold-gsyn. Similarly, the average presynaptic firing rate was studied at 0.5 and 5 Hz to reflect a physiologically relevant range. By testing individual cells with different patterns of virtual synaptic stimulation, we found that muscarine elevated synaptic gain over the entire parameter space for preganglionic activity (Figs. 5 and and6).6). To obtain reliable estimates of synaptic gain, it was essential to maintain stable recordings for periods long enough to permit repeated trials, interleaving of different stimulus templates, applications of muscarine, and recovery between trials. The cell illustrated in Fig. 5 was tested nine times in this way over a period of 80 min. In this particular experiment, all synaptic templates contained nine secondary nicotinic synapses firing at 5 Hz, but their strength was varied during repeated trials. The results from this cell showed that muscarine reproducibly elevated synaptic gain. In replicate trials with secondary synaptic strength set at 50% threshold-gsyn, 1 μM muscarine increased gain in this cell from 0.97 and 0.99 to 1.33 and 1.35, respectively. When secondary synaptic strength was raised to 90% threshold-gsyn, muscarine increased gain from 1.31 and 1.33 to 1.77 and 1.88, respectively. Synaptic gain dropped to slightly <1 when secondary synapses were turned off by setting their strength to 0. The drop in gain to <1 has been found in other recent experiments to arise from the failure of large EPSPs to trigger firing during the refractory period after each spike (Wheeler et al. 2004). After each stimulus trial we also observed transient changes in threshold-gsyn, but rest periods successfully allowed for recovery back to baseline before the next trial (Fig. 5A). In grouped data (Fig. 6B) using the same stimulus parameters (fpre = 5 Hz, nine secondary synapses), the increase in synaptic gain produced by 1–5 μM muscarine was significant when secondary synaptic strength was set to 50% threshold-gsyn (control 1.054 ± 0.028, muscarine 1.227 ± 0.028, nine cells, P < 0.05, paired t-test) and to 90% threshold-gsyn (control 1.467 ± 0.051, muscarine 1.759 ± 0.064, 10 cells, P < 0.05, paired t-test).
Using the same approach, we systematically tested the effect of muscarine on synaptic gain elicited by other preganglionic stimuli. With only three secondary synapses and fpre maintained at 5 Hz, muscarine elevated gain (Fig. 6A) from 0.926 ± 0.005 to 0.960 ± 0.018 (50% threshold-gsyn, six cells; P < 0.05, paired t-test) and from 1.003 ± 0.026 to 1.164 ± 0.056 (90% threshold-gsyn 11 cells; P < 0.05, paired t-test). The largest muscarinic effects, which doubled synaptic gain, were recorded when fpre was lowered to 0.5 Hz and secondary synapses were scaled to 90% threshold-gsyn (Fig. 6, C and D). With three secondary synapses, muscarine increased the gain under these conditions from 1.268 ± 0.100 to 2.556 ± 0.130 (six cells; P < 0.05, paired t-test) and with nine secondary synapses, muscarine increased the gain from 2.609 ± 0.340, to 5.615 ± 0.842 (five cells; P < 0.05, paired t-test). Smaller effects were recorded with 0.5-Hz stimulation and secondary synapses scaled to 50% threshold-gsyn (Fig. 6, C and D). With three secondary synapses, muscarine increased synaptic gain from 1.037 ± 0.001 to 1.300 ± 0.144 (three cells) and with nine secondary synapses, muscarine increased synaptic gain from 1.432 ± 0.070 to 1.784 ± 0.157 (three cells). Synergistic regulation of synaptic gain by gKM and gleak In the preceding experiments (Figs. 5 and and6),6), metabotropic suppression of gKM was the most likely mechanism for enhancement of synaptic gain because 92% of the neurons in our cultures did not show the muscarinically activated leak conductance. Nonetheless, analysis of excitability clearly showed that introduction of a virtual leak conductance could lower threshold-gsyn and interact synergistically with suppression of gKM in regulating the response to nicotinic excitation (Fig. 4). A final series of experiments examined whether these effects could also produce significant increases in synaptic gain. B neurons were stimulated with a synaptic template that included three secondary synapses set to 50% threshold-gsyn, one primary synapse, and an average presynaptic firing rate of 0.5 Hz. With this template, separate introduction of either the virtual gleak or muscarine each produced small increases in synaptic gain and adding both together produced a significant increase in gain, greater than the sum of the individual effects (Fig. 7). In grouped data from five neurons, synaptic gain was 1.069 ± 0.008 under control conditions. Adding 0.25 to 0.5 nS of virtual gleak increased the gain to 1.169 ± 0.020, while simultaneously reducing Rleak in the steady-state I–V relation from 1,108 ± 92 to 834 ± 67 MΩ and depolarizing the resting potential from −68.6 ± 1.4 to −54.1 ± 2.2 mV. Adding 1 μM muscarine increased synaptic gain to 1.214 ± 0.055 and depolarized the cells from −67.1 ± 0.9 to −60.6 ± 1.7 mV. Adding the virtual leak and muscarine together increased synaptic gain to 1.794 ± 0.276 (P < 0.05, repeated-measures ANOVA, Tukey’s post hoc test) and depolarized the cells from − 66.1 ± 1.2 to −46.8 ± 3.1 mV. DISCUSSION In this study, we analyzed the integrative role of muscarinic excitation in sympathetic ganglia by testing the predictions of a computational model (Schobesberger et al. 2000; Wheeler et al. 2004). To simplify the experimental problem, the dynamic-clamp method was used to create virtual nicotinic synapses whose strength, number, and activity could be precisely controlled. The results show that muscarinic suppression of gKM and activation of a virtual gleak are each sufficient to strengthen the excitatory impact of nicotinic synapses by lowering threshold-gsyn (Figs. 1 and and4).4). Importantly, the excitatory action of muscarine cannot be explained simply by its depolarizing effect on resting potential (Fig. 2). A direct consequence of excitatory muscarinic modulation in this system is to increase the synaptic gain (Figs. 5–7) that arises through convergence of nicotinic synapses on sympathetic neurons. Both effects were very robust. Although variable in magnitude, the excitatory consequences of muscarinic modulation were consistently evoked over an entire parameter space whose boundaries were chosen to reflect physiological estimates of naturally occurring synaptic strength, nicotinic convergence, and preganglionic activity. Our data also show that combining the changes in gKM and gleak can result in a synergy to produce even larger increases in synaptic strength (Fig. 4) and gain (Fig. 7). These nonlinear interactions between gKM and gleak arise from the voltage and time dependency of gKM. Finally, the results indicate that nicotinic excitation does not act as a physiological trigger of repetitive firing, even though sympathetic neurons are capable of such firing during metabotropic excitation (Fig. 3; also see Adams et al. 1982; Dodd and Horn 1983). The bridge from metabotropic signaling to synaptic integration The problem of muscarinic modulation in autonomic ganglia is long-standing and multifaceted. Slow muscarinic EPSPs were first recorded in the 1960s from isolated preparations of the rabbit superior cervical ganglion (Eccles and Libet 1961; Libet and Tosaka 1969) and amphibian lumbar chain ganglia (Koketsu 1969; Nishi and Koketsu 1968; Tosaka et al. 1968). It took ten years to implicate a decrease in K+ conductance (Weight and Votava 1970) and another ten to elucidate the voltage-dependent nature of the M-conductance (Brown and Adams 1980). Most subsequent work focused on the signal transduction pathway, which is now best understood in mammalian sympathetic neurons. Muscarinic suppression of gKM arises through the m1 subclass of receptors (Marrion et al. 1989), which are coupled to the Gq/11 protein, activation of phospholipase C (Delmas et al. 2004), hydrolysis of PIP2 (Suh and Hille 2002; Suh et al. 2004; Zhang et al. 2003), and reduced opening of channels composed of KCNQ2 and KCNQ3 subunits (Delmas et al. 2004; Selyanko et al. 2000, 2002; Shapiro et al. 2000; Wang et al. 1998). By comparison, muscarinic activation of gleak in paravertebral sympathetic neurons was documented repeatedly (Kuba and Koketsu 1976; Mochida and Kobayashi 1986; Tsuji and Kuba 1988), although further details have remained elusive. Possible candidates for this conductance include cyclic nucleotide-gated ion channels (Thompson 1997) and transient receptor potential (trp) channels (Delmas et al. 2004). However, it remains unclear why muscarinic activation of the leak was seen in only 8% of the B neurons that we studied. The rarity of these cells could reflect either a functionally specialized subset of sympathetic B neurons or a technical limitation of our tissue culture and recording methods. In any event, it is important to note that various forms of branched metabotropic signaling pathways are widespread. The observations reported here may therefore prove significant in a number of different cellular contexts. Previous efforts to understand the role of slow muscarinic excitation in ganglionic integration primarily focused on the afterdischarge of action potentials that is sometimes associated with the slow EPSP (Horn 1992; Nishi and Koketsu 1968). In vivo recordings from lumbar chain ganglia in the cat (Janig 1995) and frog (Ivanoff and Smith 1997) demonstrated after-discharges and slow potentials, although this approach did not elucidate a physiological role for such events, explained in part by problems that arise from the difficulty of working in vivo and the need to introduce exogenous drugs and nerve stimulation to evoke afterdischarges. Another approach was to isolate preparations of amphibian ganglia together with end organs (Jobling and Horn 1996; Thorne and Horn 1997). This demonstrated that metabotropic excitation of postganglionic neurons could elicit detectable consequences in arteries and cutaneous glands, although again the effects were critically dependent on exogenous drugs such as nicotine and d-tubocurarine. All of these results from earlier work are borne out by the present finding that virtual nicotinic EPSPs were incapable of evoking repetitive firing of any kind, let alone the type that has been associated with classical recordings of ganglionic after-discharges. Nonetheless, our conclusion that metabotropically regulated repetitive firing does not contribute to normal ganglionic integration should not be construed as an argument against the practical utility of classifying cell-firing properties as phasic or tonic. Indeed the firing patterns induced by current injection have proven useful as signatures to functionally identify different classes of central and peripheral neurons (Boyd et al. 1996; Cassell et al. 1986; Connors and Gutnick 1990). Our results indicate simply that one must be cautious in extrapolating from such signatures to synaptic integration. In central neurons where convergence is high and individual synapses produce relatively small EPSPs, varying the background level of synaptic activity may function in a manner analogous to steady-current injection and lead to consequences different from those observed in sympathetic neurons. The view of muscarinic excitation developed herein has its earliest precedent in the observation that slow EPSPs potentiate the amplitudes of fast EPSPs by reducing total membrane conductance and thereby lowering the shunting of synaptic currents (Schulman and Weight 1976). Although very attractive, the data supporting this idea are in retrospect very minimal and recent simulations indicate that effects on EPSP amplitude would be very small and difficult to detect (Schobesberger et al. 1999). These predictions were indeed confirmed by our observations of fast virtual EPSP shape (Fig. 2, C and D). When viewed in the context of synaptic strength, our computational and dynamic-clamp approach has now shown clearly for the first time that by altering postsynaptic excitability, muscarinic excitation can strengthen the impact of nicotinic synapses. By answering some of the original questions about muscarinic modulation it becomes possible to focus on other unresolved issues, both postsynaptic and presynaptic. First, there is the limitation of the dynamic-clamp method, which implements conductances at the site of recording without mimicking the spatial distribution of synapses over the surface of a neuron. In the case of bullfrog neurons, this problem is insignificant because the cells are monopolar with nicotinic synapses on the soma and axon hillock. In the case of mammalian sympathetic neurons, one must eventually account for the influence of dendrites. Nonetheless, our results demonstrate how muscarinic excitation can modulate integration of fast EPSPs within an isopotential cellular compartment. A second postsynaptic issue is the possible role of calcium-activated K+ conductances (gKCa). Although changes in gKCa do not contribute to the slow muscarinic EPSP, in mammalian sympathetic neurons muscarinic inhibition of N-type calcium currents can reduce their activation by action potentials and may thereby influence synaptic integration (Bernheim et al. 1992; Haley et al. 2000). However, this mechanism is not expressed in bullfrog sympathetic neurons (Bley and Tsien 1990; Jones and Marks 1989) and therefore cannot account for the present results. Finally, it is important to note that our analysis of postsynaptic integration deliberately simplified presynaptic mechanisms by omitting the dynamics of release. It would be interesting to extend the analysis of ganglionic integration to include presynaptic facilitation and depression together with muscarinic receptors that inhibit acetylcholine release (Karila and Horn 2000; Shen and Horn 1996). In the meantime, the present experiments provide evidence that postsynaptic muscarinic excitation can regulate the synaptic gain generated in sympathetic ganglia. The resulting notion that ganglia function as use-dependent amplifiers is likely to be important because the ganglia are embedded in negative feedback loops that control blood pressure, body temperature, and other physiological state variables. Footnotes GRANTS This work was supported by National Institute of Neurological Disorders and Stroke Grant RO1 NS-21065. References
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