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. Author manuscript; available in PMC: 2012 Jul 14.
Published in final edited form as: Neuron. 2011 Jul 14;71(1):180–194. doi: 10.1016/j.neuron.2011.05.032

Multiple clusters of release sites formed by individual thalamic afferents onto cortical interneurons ensure reliable transmission

Martha W Bagnall 1,2,3, Court Hull 1,2, Eric A Bushong 4, Mark H Ellisman 4, Massimo Scanziani 1,2,3
PMCID: PMC3271052  NIHMSID: NIHMS303612  PMID: 21745647

Summary

Thalamic afferents supply the cortex with sensory information by contacting both excitatory neurons and inhibitory interneurons. Interestingly, thalamic contacts with interneurons constitute such a powerful synapse that even one afferent can fire interneurons, thereby driving feedforward inhibition. However, the spatial representation of this potent synapse on interneuron dendrites is poorly understood. Using Ca imaging and electron microscopy we show that an individual thalamic afferent forms multiple contacts with the interneuronal proximal dendritic arbor, preferentially near branch points. More contacts are correlated with larger amplitude synaptic responses. Each contact, consisting of a single bouton, can release up to 7 vesicles simultaneously, resulting in graded and reliable Ca transients. Computational modeling indicates that the release of multiple vesicles at each contact minimally reduces the efficiency of the thalamic afferent in exciting the interneuron. This strategy preserves the spatial representation of thalamocortical inputs across the dendritic arbor over a wide range of release conditions.

Introduction

The activity of even a single thalamic axon can generate robust, widespread inhibition in somatosensory cortex (Swadlow and Gusev, 2000; Swadlow and Gusev, 2002). This is not because thalamic afferents are inhibitory--they release the excitatory transmitter glutamate (Kharazia and Weinberg, 1994)--but because they can efficiently fire cortical inhibitory neurons through one of the cortex’s most powerful synapses (Cruikshank et al., 2007; Gabernet et al., 2005; Hull et al., 2009; Porter et al., 2001; Swadlow and Gusev, 2000; Swadlow and Gusev, 2002). These GABAergic interneurons in turn synapse onto local excitatory neurons, creating a robust feedforward inhibitory circuit (Gabernet et al., 2005; Inoue and Imoto, 2006; Sun et al., 2006) that may serve to tune the postsynaptic response, ensure temporal precision of spiking, widen dynamic range, and dampen intracortical excitation (Bruno and Simons, 2002; Gabernet et al., 2005; Pinto et al., 2003; Pouille et al., 2009; Pouille and Scanziani, 2001; Wehr and Zador, 2003; Wilent and Contreras, 2005).

Powerful synaptic connections are usually composed of many synaptic contacts distributed over the membrane of the postsynaptic neuron. The spatial distribution of these contacts can have major consequences on the excitation of the postsynaptic cell (Euler et al., 2002; Fried et al., 2002; Gouwens and Wilson, 2009; Losonczy et al., 2008; Poirazi and Mel, 2001; Segev and London, 2000; Williams and Stuart, 2003). Individual thalamic fibers excite cortical inhibitory neurons through approximately 15 synaptic release sites that release glutamate with high probability, yielding unitary excitatory conductances as large as 10 nS (average, 3 nS; (Cruikshank et al., 2007; Gabernet et al., 2005; Hull et al., 2009)); however, little is known about the spatial configuration of these release sites on the dendrites of cortical neurons.

One can envision two opposite spatial configurations, each with profoundly different consequences on the excitation of the postsynaptic target: Release sites are (1) concentrated in one location (Fig. 1A), or (2) distributed across the dendritic arbor (Fig. 1B). In the first configuration, (e.g., the cerebellar mossy fiber to granule cell synapse), transmission is locally reliable and graded with respect to release probability. However, the contribution of each release site to postsynaptic depolarization is reduced due to the local decrease in driving force and increase in dendritic conductance. In the second configuration (e.g., the cortical layer 4 to 2/3 synapse), transmission is locally all-or-none. However, because release sites are electrotonically distant from each other, this configuration maximizes the contribution of individual vesicles of transmitter to postsynaptic depolarization.

Figure 1. Stimulating thalamic axons generates Ca hotspots through glutamate receptor activation.

Figure 1

(A–C) Configurations by which an individual thalamic axon may contact a cortical interneuron; each dot is a release site: (A), concentrated, (B), distributed, and (C) clustered.

(D) Schematic of simultaneous physiological recording and Ca imaging from Layer IV interneurons during bulk stimulation of thalamic afferents.

(E) (Top left) ΔF/F in response to bulk stimulation of thalamic afferents (average of 5 trials). (Top right) Thresholded ΔF/F (red) superimposed on fluorescence image of the recorded interneuron. (Bottom) Thresholded ΔF/F and reconstructed interneuron (blue: dendrites; gray axon). (Right traces, top) Synaptic current evoked by thalamic afferent stimulation (5 stimuli at 10 Hz; average of 5 sweeps) recorded in voltage clamp at −65 mV while imaging the interneuron on the left. (Traces 1–4) ΔF/F for four regions of interest (boxed areas on reconstruction).

(F) (Left) Elimination of a Ca transient resulting from a single stimulus by sequential application of NBQX and CPP. (Right) Summary data for similar experiments (NBQX, n = 5; +CPP, n = 3). (See also Fig. S1).

(G) (Left) Fluorescence image of recorded interneuron. (Middle) ΔF/F in response to somatic depolarization (from −60 to +20 mV for 5 ms, repeated 3 times at 5 Hz); top traces: current and square voltage step). (Right) ΔF/F in response to thalamic afferent stimulation (top trace: simultaneously recorded EPSC, amplitude 411 pA).

We took advantage of Ca-permeable (GluA2-lacking AMPA and NMDA receptor-mediated) signaling at the thalamocortical synapse (Hull et al., 2009) to visualize the anatomical map of the unitary connection with Ca-sensitive dye imaging, as well as electron-microscopic analysis. We demonstrate that each thalamic axon synapses on a given cortical interneuron through a third, intermediate, configuration (Fig. 1C): multiple contacts distributed across the dendritic arbor of a cortical interneuron, each comprising several release sites. We further show that this spatial configuration provides for reliable, graded Ca transients at each contact, with minimal loss to inefficiency. As a result, sensory information entering the cortex maintains a stable spatial representation across the dendrites of the target cells, spike after spike.

Results

To visualize the subcellular distribution of thalamocortical inputs to Layer IV inhibitory interneurons in the somatosensory barrel cortex, we took advantage of the fact that these synaptic currents are mediated by Ca-permeable AMPA and NMDA receptors (Hull et al., 2009), and thus should generate a measurable Ca transient in the postsynaptic compartment (Goldberg et al., 2003). We recorded from fast-spiking interneurons (see Methods) with patch pipettes containing the fluorescent Ca indicator Oregon Green BAPTA-1 (150 μM) in a slice preparation that preserves much of the thalamocortical fiber bundle (Agmon and Connors, 1991; Porter et al., 2001), allowing a stimulation electrode to be placed in this pathway slightly ventral to the fimbria. We simultaneously imaged the dendritic arbor of the recorded neuron (Fig. 1D) and recorded the electrophysiological response in voltage clamp to stimulation of thalamic afferents.

We used three stimulation protocols: (i) bulk stimulation, in which multiple thalamic afferents are recruited; (ii) threshold single fiber stimulation, in which a single afferent impinging on the recorded neuron or imaged dendrite is stimulated just at threshold, leading to fluctuation between recruitment successes and failures; (iii) single fiber stimulation, in which a single fiber impinging on the recorded neuron or imaged dendrite is recruited reliably, without failures, by the stimulation electrode (see Methods).

Postsynaptic Ca hotspots evoked by stimulation of thalamic afferents

Bulk stimulation of thalamic afferents elicited a pattern of Ca hotspots--localized, transient postsynaptic increases in Ca concentration--decorating the dendritic arbor of cortical interneurons (Fig. 1E). Addition of the AMPA-R antagonist NBQX reduced hotspot intensity by 58 ± 5% (n = 5), while further addition of the NMDA-R antagonist R-CPP eliminated hotspots entirely (to −1 ± 1%, n = 3; Fig. 1F). Similarly, application of R-CPP reduced hotspot intensity by 59 ± 4% (n = 5; Supp. Fig. S1), suggesting that Ca-permeable AMPA-R and NMDA-R contribute about equally to the postsynaptic Ca signal under our recording conditions.

Do hotspots mark the location of a synaptic contact? In the absence of perfect voltage clamp, hotpots could in principle result from the activation of voltage-gated Ca channels (VGCCs) not necessarily co-localized with the synaptic contact. To test this possibility, we monitored the spatial distribution of Ca transients in response to depolarizing voltage steps (Goldberg et al., 2003). The resulting Ca transient was spread throughout the dendritic arbor (Fig. 1G), indicating that VGCCs are distributed broadly and therefore unlikely to produce hotspots at significant distance from the site of synaptic contact. Thus, thalamic stimulation generates a spatial pattern of Ca transients that corresponds to the location of glutamate receptor-mediated thalamic inputs.

To ascertain whether an individual hotspot corresponded to the input of a single thalamic fiber, we used a threshold single fiber stimulation paradigm. For this, the stimulus strength was reduced to a level that produced fluctuations between successful and unsuccessful recruitment of a single thalamic axon impinging onto the recorded neuron, resulting in fluctuations between successes and failures of unitary excitatory postsynaptic currents (uEPSCs: average amplitude, 316 ± 57 pA, n = 21; 10–90% rise time, 1.0 ± 0.2 ms, n = 21; 90–10% fall time, 6.8 ± 0.5 ms, n = 20; means ± SEM) (Beierlein et al., 2003; Cruikshank et al., 2007; Gabernet et al., 2005; Gibson et al., 1999; Inoue and Imoto, 2006). EPSC latency (to 10% amplitude: 3.1 ± 0.11 ms, n = 21) and jitter (SD of latency at 90% amplitude: 98 ± 60 μs, n = 17, mean ± SD) were both consistent with a monosynaptic origin. Even in response to stimulation of a single thalamic afferent, Ca hotspots could be detected on interneuron dendrites (Fig. 2A). Importantly, Ca transients at the hotspot co-fluctuated on a sweep by sweep basis with success and failure of the simultaneously recorded uEPSC, confirming that they resulted from the fluctuating threshold recruitment of a single thalamic afferent (Fig. 2A, B). The spatial extent of hotspots evoked in response to the activity of a single thalamic afferent was restricted to a few μm along the longitudinal axis of the dendrite (length at half-maximum, 3.6 μm; n = 64; Fig. 2D), which is likely an overestimate of the actual Ca domain due to the mobility of the Ca indicator (Goldberg et al., 2003). Thus, hotspots correspond to the input of individual thalamic fibers (Fig. 2C) and allow us to visually identify the subcellular location of contacts between a single thalamic axon and the interneuron dendrite.

Figure 2. Activity of individual thalamic axons evokes spatially restricted dendritic Ca hotspots.

Figure 2

(A) Threshold single fiber stimulation. (Top row) From left to right: Average uEPSC to 20 successive trials, recorded in voltage clamp. In this and subsequent figures, interneurons were clamped at −60 to −70 mV. Fluorescent image of recorded interneuron, ΔF/F, and time course of Ca transient recorded in the region of interest (red box). Middle and bottom, same as top but separated by individual successes (middle, 9 traces) and failures of axonal recruitment (bottom, 11 traces).

(B) Co-fluctuation of successes and failures for Ca transients (top) and EPSCs (bottom) across successive trials of the experiment shown in (A).

(C) Schematic of the experiment: Ca transients represent the activity of individual thalamic afferents.

(D) (Left) Fluorescent image of dendrite. (Center) ΔF/F of Ca hotspot on the same dendrite, with warmer colors representing larger ΔF/F. (Right) Summary data for 64 hotspots: mean ± 1 standard deviation. Note the steep fall off of ΔF/F as a function of distance along the dendrite.

Several hotspots per thalamic axon

Does each thalamic fiber generate one or many hotspots? In response to threshold single fiber stimulation we were frequently able to detect two or more Ca hotspots whose occurrence co-fluctuated with successes and failures of the uEPSC (example, Fig. 3A, B; further statistics in Fig. 8 from 8 similar experiments). Thus, individual thalamic axons may contact the dendrites of interneurons through multiple hotspots, excluding the concentrated configuration of release sites illustrated in Fig. 1A.

Figure 3. Individual thalamic axons can evoke multiple Ca hotspots.

Figure 3

(A) Threshold single fiber stimulation. (Top) Fluorescence image of recorded interneuron (left), ΔF/F image (average of 7 trials; center) and synaptic currents (7 successes and 2 failures; right) (Bottom) Successes and failures of Ca transients recorded in the color coded region of interest illustrated above. Successes and failures of the two Ca transients co-fluctuate with the successes and failures of the uEPSC.

(B) Reconstructed interneuron (blue, dendrites; gray, axon) from experiment in A with color coded regions of interest.

(C) Single fiber stimulation (Top) Fluorescence image of recorded interneuron (left), ΔF/F image (average of 6 trials; second image), and fluorescence image (third image) and ΔF/F (right image, average of 7 trials) after aspiration of dendrite (the dotted lines symbolize the position of the aspiration pipette). (Bottom) Average synaptic response before (left, average of 6 trials) and after (right; average of 7 trials) aspiration of dendrite. (Right) The difference between the synaptic response before and after dendritic aspiration (red trace) is superimposed on the average trace before aspiration (gray trace).

(D) Reconstructed interneuron (blue, dendrites; gray, axon) from experiment in A. The red × marks the aspirated dendrite.

(E) Summary of 5 similar experiments. Closed circles represent experiments in which the dendrite was severed by aspiration; open symbols indicate those in which the dendrite was severely bent and the Ca hotspot disappeared.

Figure 8. Distribution of hotspots.

Figure 8

(A) Average dendrogram of all reconstructed neurons (n= 53), with soma at left. Line length represents average straightened length of structures, e.g. tertiary branches that later bifurcate. Numbers indicate percentage of branches in each category (e.g., 2nd-order terminal branches represent 13.4% of all branches). More distal branches, representing < 1% of all branches, are not shown. Each diamond represents the location of a Ca hotspot (n = 85). Hotspots (diamonds) were placed on the dendrogram according to their structural location (e.g., halfway along a tertiary dendrite that later bifurcated), not according to their absolute distance from soma. Colored diamonds indicate pairs or triplets of hotspots generated by the activity of a single thalamic axon. The example neuron of Fig. 3A is in red.

(B) Hotspots were detected more frequently in the proximal dendritic arbor. Normalized density of distribution of hotspots (red) and dendritic tree (hotspot-bearing dendrites only). Inset, magnified view of the first 200 μm.

(C) Hotspots occur preferentially close to dendritic branch points. (Left) Bimodal distribution of hotspots in a plot of normalized inter-node distance. (Right) Cumulative percentage of hotspots that fell within the given distance from a dendritic branch point, with inset for distances < 20 μm. Black with gray shading indicates mean ± 2 × SD from repeated simulations of random hotspot distribution (see Methods).

(D) Lack of correlation between uEPSC amplitude and hotspot proximity to soma (left; R2 = 0.04, p = 0.11; n = 70) or with hotspot intensity (middle, R2 = 0.02, p = 0.41; two large ΔF/F responses not shown). Large-amplitude uEPSCs are associated with higher numbers of Ca hotspots (right; means in black; * p = 0.03, Wilcoxon unpaired). (See also Fig. S3).

How many hotspots are generated by a single thalamic fiber? Because the number of detected hotspots per thalamic afferent is necessarily an underestimate due to limitations in visualizing the entire extent of the dendritic arbor we used two independent approaches: (i) We determined the fractional contribution of each individual hotspot to the uEPSC by cutting the dendrite on which it was located; (ii) We estimated the number of release sites per hotspot and compared it to the total number of release sites per thalamic afferent (following section).

After a Ca hotspot was identified, the dendrite was aspirated with a patch pipette just proximal to the hotspot locus (Fig. 3C). In 3 neurons the ablation was further confirmed by post-hoc comparison of the biocytin fill of the dendrites with the live fluorescent dendritic image before the cut (Fig. 3D). This led to a median reduction of the uEPSC of 37% (range, 6–70%, 29–292 pA; n = 5; Fig. 3E). The fact that cutting a hotspot-bearing dendrite did not abolish the uEPSC confirms our finding that individual thalamic afferents contact cortical interneurons through multiple loci and further indicates that these contacts must primarily occur onto distinct dendrites. In addition, these data provide a lower bound estimate (because multiple contacts from one thalamic axon may be located on the same cut dendrite) of ~3 hotspots per thalamic afferent.

Several release sites per hotspot

How many release sites compose a single hotspot? To address this question, we compared the release probability (Pr) of transmitter with the likelihood that afferent stimulation successfully generates a postsynaptic Ca transient in a given hotspot (PCa). If each hotspot contains only one release site, as schematized in Fig. 1B, we expect a linear relationship between synaptic Pr and PCa. In contrast, if N release sites are clustered in one hotspot, then PCa will exceed the synaptic Pr, with PCa = 1 − (1 − Pr)N. We assessed the baseline Pr using variance mean analysis of a binomial model of release (Silver, 2003). Thalamocortical EPSCs were recorded in 3–5 different levels of Ca and Mg to vary Pr, in the presence of 1 mM kynurenate to minimize receptor saturation (Fig. 4A) (Foster and Regehr, 2004). The resulting parabolic fit to the plot of EPSC variance versus mean amplitude at each Ca/Mg concentration (Fig. 4B) was used to derive N and Q. Pr calculated for the 4 mM Ca, 0.5 mM Mg solution used in imaging experiments was 0.80 ± 0.06, while Q was 15.3 ± 3 pA (in the absence of kynurenate; n = 4), consistent with previous observations (Hull et al., 2009).

Figure 4. Three release sites, on average, compose a single hotspot.

Figure 4

(A) EPSCs recorded in an intreneuron during bulk stimulation of thalamic afferents under various concentrations of divalent ions and 1 mM kynurenate. In this example some bath solutions were washed in twice; sweeps are grouped together by condition (gray: individual sweeps, black: average).

(B) Fitting the EPSC variance and mean to a binomial model yields a Pr of 0.88 for this cell in the 4 mM Ca, 0.5 mM Mg condition.

(C) Application of the GABAB receptor agonist baclofen reduced the EPSC (left) by 43% but the Ca transient at the hotspot failed on only 1/40 trials (2.5%; right, black trace). Average of successful Ca transients is shown in black (control, center) or dark blue (baclofen, right). Inset, Ca transients at the hotspot responds selectively to recruitment of a thalamic axon as seen on 13 sequential trials of single fiber stimulation. In this example, a lower-threshold thalamic axon is also recruited but does not contribute to the Ca hotspot (inset, EPSC and Ca transients during threshold single-fiber stimulation).

(D) As in (B), for a second example neuron in which both baclofen and the A1 receptor agonist CPA were used to reduce the EPSC by 75%; Ca transient at the hotspot succeeded on 10/16 trials (63%). Inset, EPSC and Ca transient during threshold single-fiber stimulation.

(E) Data from 21 neurons (red dots) in which baclofen and/or the A1 agonist CPA (each 1–50 μM) were used to reduce Pr. Gray lines indicate the predicted relationship between Ca transient success rate (PCa) and Pr for the given number of release sites in a hotspot. The example neuron shown in C is colored blue; that in D is colored green. Excluding cells for which the Ca transients was successful on 100% of all trials (n = 3), the average N was 3.4 ± 0.4 release sites (SEM; n = 18).

This high Pr makes it difficult to estimate the N at each hotspot locus over a small number of trials, due to the correspondingly low failure rate of postsynaptic Ca transients. Therefore, we reduced Pr pharmacologically with the GABAB receptor agonist baclofen (1–50 μM) and/or the adenosine A1 receptor agonist CPA (1–50 μM) (Fontanez and Porter, 2006). The resulting fractional reduction in EPSC amplitude, multiplied by the estimated initial Pr of 0.80, served as a measure of the reduced absolute Pr. We then monitored Ca transients across repeated trials to define PCa.

When Pr was moderately reduced to ~0.5, PCa still hovered close to 100% (Fig. 4C), indicating that more than one release site contributes to a single hotspot and excluding the configuration illustrated in Fig. 1B. When Pr was reduced to 0.2–0.4, the substantial number of failures of the Ca transient (Fig. 4D) revealed that N ranged from 1.5 to 7, with an average of 3.4 ± 0.4 release sites per hotspot (n= 18 hotspots; excluding 3 hotspots where PCa = 1; Fig. 4E). Thus, consistent with the clustered configuration illustrated in Fig. 1C, multiple vesicles are released at each hotspot, a finding that is relatively insensitive to the precise value of the estimated Pr (see Discussion). Given the average of 15–20 release sites per thalamic axon (average 315 pA uEPSC divided by average Q of 15 pA; (Hull et al., 2009)), these data suggest that each thalamic afferent forms, on average, 4–6 such clusters (schematic, Fig. 1C).

Graded, reliable Ca transients maintains a stable thalamic representation

What are the functional consequences for postsynaptic Ca transients of clustering multiple release sites together? The clustering of release sites suggests that Ca transients at each hotspot should be reliable, spike after spike, and graded, i.e. variable in proportion to Pr. We compared the response of Ca hotspots to single vs repeated stimulation of the thalamocortical pathway. Despite ~50% depression of Pr by the second of two consecutive stimuli delivered at 1 Hz (as evaluated by the depression of the simultaneously recorded EPSC amplitude; Fig. 5A), the second Ca transient at hotspots was very reliable (6 ± 3% failures, n = 7), The same was true for the last Ca transients of a train of 10 stimuli delivered at 1Hz (10th stimulus, 16 ± 5% failures, n = 8 hotspots from 7 neurons, different set than paired-pulse). Similar results were obtained in adult (> P39) animals (17 ± 2% failure rate, n = 4). This indicates that Ca transients at hotspots are reliable despite large variations in Pr.

Figure 5. Clustered release sites ensure locally reliable transmission.

Figure 5

(A) Single fiber stimulation (Top) Each of two consecutive stimuli of thalamic afferents elicits a reliable hotspot, despite the ~50% depression of the second EPSC. Fluorescence images before and after the first (Left) and second (Right) stimulus, with overlaid thresholded ΔF/F. Images are averages of 3 frames from a single trial. (Bottom) Average EPSCs evoked by the two stimuli on two different time scales (left) and individual Ca transients in response to the two stimuli (14 superimposed traces). The example trial on top is shown in red. Black, the average Ca transient to a single stimulus (average of 14 traces).

(B) Ca transients at a hotspot are graded. Distribution of ΔF/F values for individual trials in response to two consecutive stimuli for 7 experiments similar to A. ΔF/F values are normalized by the average ΔF/F in response to the first stimulus. Dark gray: ΔF/F in response to first stimulus; red: ΔF/F in response to second stimulus; Light gray: ΔF/F in response to “second” stimulus on interleaved 1-stimulus trials, as an indication of the noise. The Ca transient at each hotspot in response to the second stimulus is approximately half the Ca transient to the first stimulus.

(C) Single fiber stimulation. EPSC and Ca transient resulting from 10-stimulus trains in a different cell. The Ca transient to the 10th EPSC was successful in 13/13 trials. The average response during the same time period to interleaved 9-stimulus trials has been subtracted from the ΔF/F (black line indicates 0). Inset, Summary of fraction of trials with successful Ca transients to the last stimulus for paired-pulse stimuli (filled circles, n = 7 cells) and 10-stimulus trains (open circles, n = 7).

(D) Triangles: the average ratio of the second versus first Ca transient elicited by two consecutive stimuli is plotted against the ratio of the second versus first EPSC evoked by the same two stimuli (n = 11). Circles: the average ratio of the Ca transient recorded after versus before baclofen and/or CPA application is plotted against the ratio of the EPSC recorded after versus before the same conditions (n = 21). Ca transient failures are excluded from the averages (in both conditions), to illustrate the graded nature of the Ca signal at each hotspot (See also Supp. Fig. S2).

Decreasing Pr through repetitive stimulation reduced the amplitude of individual Ca transients (remaining amplitude of successful Ca transients, 51 ± 3%, n = 11; Fig. 5D) as did reducing Pr pharmacologically (baclofen and/or CPA; see above; 44 ± 4%; n = 19, Fig. 5D). Importantly, the amplitude of the average of successful Ca transients was proportional to the decrease in Pr (Fig. 5D: average remaining Pr 53 ± 2% for paired-pulse, 51 ± 3% for pharmacological reduction). suggesting that the local Ca concentration at hotspots varies in a graded manner with Pr.

Are Ca hotspots composed of several spatially isolated Ca micro-domains, each generated by one release site, or do all release sites contribute to a common postsynaptic Ca pool? If release sites share postsynaptic glutamate receptors, they by definition would contribute to a common postsynaptic Ca pool. The low-affinity competitive glutamate receptor antagonist γ-DGG can be used to identify changes in cleft glutamate concentration due to changes in the number of active release sites with shared access to a pool of receptors (Tong and Jahr, 1994; Wadiche and Jahr, 2001). We used paired pulse stimulation of thalamic afferent to compare the antagonism of γ-DGG on EPSCs generated by high (first pulse) vs low (second pulse) Pr.

On average, γ-DGG (1 mM) reduced the first EPSC by 38 ± 3%, and the second EPSC by 56 ± 3% (n = 12; p < 0.0001; 7 single thalamic fiber stimulation and 5 bulk stimulation) (Fig. 6A, B), indicating changes in cleft glutamate concentration with changes in Pr. In contrast, application of the high-affinity antagonist NBQX at low concentration (100 nM) yielded similar amplitude reductions of both the first and second EPSC (Fig. 6B). These results indicate that glutamate originating from distinct release sites accesses a common set of postsynaptic glutamate receptors. Thus, release sites contribute to a common postsynaptic Ca pool whose concentration varies with Pr. Finally, γ-DGG did not affect the decay time constant of the EPSC (2 ± 8% change of weighted decay; n = 9), consistent with glutamate pooling between closely spaced release sites (DiGregorio et al., 2002).

Figure 6. Diffusional domains of multiple vesicles of glutamate overlap at a common pool of postsynaptic receptors.

Figure 6

(A) Bath application of 1 mM γ-DGG during a paired-pulse stimulus reduced the first EPSC by 30% and the 2nd EPSC by 42% in this example neuron. (Right) The 2nd EPSC scaled to match the peak of the 1st EPSC shows the relatively greater effect of γ-DGG, indicating a decrease in glutamate concentration.

(B) (Left) Summary of data from 12 cells, recorded during single-fiber stimulation of thalamic afferents (open symbols) or bulk stimulation (closed symbols), showing a significantly larger effect of DGG on the 2nd as compared to the 1st EPSC (p < 0.0001). Data collected at ~21° C are represented as circles, those at ~32° C as triangles. (Right) In contrast, low concentrations (100 nM) of the high-affinity antagonist NBQX did not have a differential effect on the 1st and 2nd EPSCs.

Multiple release sites at a single contact

The observed clustering of release sites might occur either through (1) separate boutons arising from a single axon converging, closely spaced, on one dendritic locus or (2) a single bouton capable of releasing multiple vesicles. To distinguish between these possibilities, we pursued electron microscopy to examine synaptic ultrastructure.

Pre-embedding immunostaining for the glutamate transporter VGluT2 was used to identify axonal boutons arising from thalamic sources (Fremeau et al., 2001; Hur and Zaborszky, 2005; Nahmani and Erisir, 2005), while parvalbumin expression identified postsynaptic L4 interneurons. Four axodendritic contacts were reconstructed from serial images spanning 10–15 ultrathin sections (~0.8 – 1.2 μm). In one instance, the nearest neighbor thalamic bouton was seen > 350 nm distant (edge to edge); in the other instances, no other thalamic bouton was found within the entirety of the reconstruction nor in nearby scanning. Presynaptic terminals were of moderate size (0.14 ± 0.04 μm3) and contained many clear, round vesicles as well as, in 3 out of 4 cases, a mitochondrion (Fig. 7A), consistent with previous reports (Kharazia and Weinberg, 1994; Staiger et al., 1996). Postsynaptically, the PSD was unperforated and presented a synaptic surface area of 0.11 ± 0.02 μm2. In contrast, the PSDs at thalamic inputs to spines of excitatory neurons, visible in the same samples, sometimes exhibited perforations (Fig. 7B) (Kubota et al., 2007), demonstrating that the images were of sufficient resolution and clarity to distinguish perforated from unperforated PSDs. The data are thus consistent with each bouton being capable of multivesicular release to a single PSD rather than separate boutons converging on one dendritic locus.

Figure 7. Ultrastructure of the thalamic input to an interneuron.

Figure 7

(A) (Top) Serial sections through the synaptic contact between a thalamic afferent (T1) and an interneuron dendrite (D), revealing a single bouton apposed to a single PSD (arrowhead). (Bottom) 3-dimensional reconstruction with the presynaptic thalamic bouton in peach, the postsynaptic dendrite in blue, and the PSD dark. (B) (Top) In contrast, afferent T2 synapses on an excitatory neuron spine (S) exhibiting a perforated PSD (arrowheads). Scale as in (A). (Bottom) 3-dimensional reconstruction reveals three separate PSDs on this spine.

Distribution of Ca hotspots across the dendritic arbor

We determined the spatial distribution of Ca hotspots across the dendritic arbor of cortical interneurons by post hoc reconstruction of recorded neurons. The fluorescence image from live recordings was matched with the reconstructed morphology allowing the localization of 85 Ca hotspots from 53 neurons (example, Fig. 3A) and the distribution of all hotspots aligned on the average dendrogram of all reconstructed neurons (Fig. 8A). Hotspots were preferentially located on proximal dendrites (median distance to soma: 50 μm; 95% of all hotspots located within 115 μm of the soma; Fig. 8B; 5th – 95th %ile, 15 – 115 μm). This sharp drop-off in hotspot distribution > 100 μm from the soma was not due a failure to detect more distal hotspots since comparison of live fluorescence images of dendrites with biocytin-filled reconstructions shows that the first ~200 μm of dendrite were fully visible under fluorescence (Supp. Fig. S3).

Hotspots were disproportionately found near dendritic branch points: 22.2% of all hotspots were located within 3 μm of a branch point, versus only 7.3% of the dendritic arbor (Fig. 8C, N = 81 hotspots from 50 neurons; median distance from node, 10.4 μm vs. random distribution, 25.7 μm; p < 0.0001, Mann-Whitney test; see Methods).

There was no spatial relationship between the location of multiple hotspots arising from a single fiber (diamonds with same color): the likelihood that two hotspots from the same axon were found on the same dendrite as each other was 0.25, similar to chance (0.29 likelihood based on dendrite length for pair-wise comparisons of hotspots arising from single axons; N = 18 hotspots from 8 thalamic axons). Furthermore, the correlation between the distance from the soma of two hotspots generated by the same axon (r2 = 0.33) was not significantly different than the correlation between randomly chosen hotspot pairs within our population (r2 = 0.19) (p = 0.33; see Methods). These results indicate that thalamic inputs to interneurons are distributed onto proximal dendrites, preferentially near dendritic branch points.

Strong synapses form more Ca hotspots

The amplitude of thalamic uEPSCs exhibits a >10-fold range, from ~1–10 nS (Cruikshank et al., 2007; Gabernet et al., 2005). Does a large-amplitude uEPSC derive from synaptic contacts located closer to the soma, from an increased potency of each contact, or from the formation of more contacts with the postsynaptic neuron? We found no correlation between uEPSC amplitude and hotspot distance from soma (Fig. 8D, left, R2 = 0.04, p = 0.11), ruling out the possibility that large-amplitude connections preferentially target the most proximal dendrites Data from experiments in which a hotspot was removed by dendritic aspiration showed that the amplitude of the excitatory current generated by an individual hotspot did not correlate with the amplitude of the uEPSC (R2 = 0.25, p = 0.40), suggesting that a large amplitude uEPSC does not rely on larger individual contacts than a small amplitude uEPSC. Furthermore, there was no correlation between the amplitude of uEPSCs and the magnitude of the Ca transient (Fig. 8D, middle R2 = 0.02, p = 0.41), or the number of estimated release sites of individual hotspots (Supp. Fig. S2, R2 = 0.004, p = 0.78). These results thus suggest that large amplitude uEPSCs do not result from an increase in synaptic strength of individual hotspots. In contrast, there was a correlation between the amplitude of the uEPSC and the number of detected Ca hotspots that arose from that thalamic afferent (Fig. 8D, right). Despite the fact that the number of detected hotspots is likely an underestimate of the actual number of hotspots generated by an individual thalamic afferent, the correlation between detected hotspot number and uEPSC amplitude suggests that large unitary connections are generated by a greater number of contacts.

Multivesicular release provides reliability with minimal loss of efficiency

Clustering release sites in one location reduces the contribution of individual vesicles of transmitter to membrane depolarization because of the local increase in conductance and reduction in driving force (Rall, 1970). To quantify the relative efficacy of synaptic transmission we used computational modeling to predict somatic depolarization with respect to the configuration of thalamic inputs (Fig. 1A–C). Reconstructions of three interneurons were imported into the NEURON modeling environment (Hines and Carnevale, 1997). 16 sites in the dendritic arbor of each neuron were selected as synaptic loci such that the overall distribution of these loci mimicked the distribution of hotspots in our dataset (Methods) (Fig. 9A). The amplitude of the simulated synaptic conductance at each site was adjusted to produce a 5 mV somatic depolarization (Fig. 9B). We then repeated this experiment using only 8, 4, 2, or 1 of the selected loci at a time, to imitate the effect of endowing each hotspot with clusters of 2, 4, 8, or 16 release sites, respectively. As expected, the total conductance required to achieve a 5 mV somatic depolarization increased with the increasing number of release sites at each locus, representing decreased efficiency of each release site as more sites are concentrated together. Noticeably, however, there was only a modest (~15%) decrease in efficiency as up to 8 release sites were clustered together; a much greater inefficiency (~60%) occurred when all 16 modeled release sites were concentrated in one location (Fig. 9C). These results thus indicate that as long as clusters do not contain more than 8 release sites, the contribution of individual release sites to the overall membrane depolarization is not greatly impaired. Interestingly, the highest number of release sites per hotspot observed here was 7 (see above and Fig. 4E).

Figure 9. Clusters of 2–6 release sites cause only modest inefficiency of transmission.

Figure 9

(A) Reconstructed interneuron anatomy imported into the NEURON modeling environment. Circles represent the location of modeled clusters of release sites. The number of release sites per cluster is color coded. The arrangement shown is an example; 8–16 different arrangements of cluster locations were modeled in the 1, 2, 4, and 8 release sites/locus configurations.

(B) (Left) The total conductance (sum of the 16 release sites) necessary to generate a somatic EPSP of 5 mV increases with cluster size. (Right) The resulting average somatic EPSP in each condition.

(C) The median total conductance necessary to generate an 5 mV EPSP at the soma is plotted against cluster size for three neurons modeled as in (B). The required conductance for concentrations of 16 release sites is more than 50% larger than the conductance for clusters of 2–4 release sites. (See also Fig. S4).

Active sodium and potassium conductances were not incorporated in this model because there is no reliable data on their distribution in cortical FS cells, and thus they would introduce significant free parameters. To evaluate whether these conductances would significantly affect dendritic summation of inputs, we used 2 photon glutamate uncaging in recordings from L4 FS neurons. Glutamate was uncaged at two dendritic loci situated either on separate dendritic branches or right next to each other (< 5 μm away) on one dendrite (Supp. Fig. S5). In concordance with our modeling results, summation of both spatially separated and spatially clustered events was linear as long as the total event amplitude (recorded somatically) did not exceed ~5 mV (Supp. Fig. S5B). These findings reinforce the conclusion of the model, that the local release of multiple quanta causes only modest inefficiencies of synaptic transmission.

Discussion

The spatial distribution of inputs from an axon onto its target plays a key role in the way information is integrated by the postsynaptic neuron. While much is known about the physiological and pharmacological properties of the powerful synapse made by thalamic axons onto cortical inhibitory interneurons (Cruikshank et al., 2007; Gabernet et al., 2005; Gibson et al., 1999; Hull et al., 2009), the spatial organization of this input is unknown. Through Ca imaging we revealed that the contact sites (hotspots) of individual thalamic inputs are located on the proximal dendrites of L4 interneurons, preferentially near branch points. Each hotspot represents a single synaptic bouton capable of releasing up to 7 vesicles simultaneously, and each thalamic axon forms a variable number of these boutons spread across the dendrites of individual cortical interneurons, depending on the strength of the input. This structure of many spatially separated synapses, each capable of multivesicular release, as schematically illustrated in Fig. 1C, may have consequences for how sensory information is transmitted to cortical interneurons, because it promotes locally reliable and graded Ca transients while minimizing the inefficiencies of clustered release sites. Through such clusters, the spatial representation of thalamic sensory inputs onto the dendritic arbor is faithfully reproduced, spike after spike.

Distribution of synaptic contacts

Histological analyses revealed that hotspots were predominantly located on proximal dendrites, 95% occurring in the first 115 μm (Fig. 8), consistent with ultrastructural studies (Ahmed et al., 1997; White et al., 1984; White and Rock, 1981). Together with structural data showing that ~15% of thalamic inputs to interneurons may be axosomatic (Ahmed et al., 1997; Staiger et al., 1996), and recent findings suggesting a similar proximal bias for thalamic inputs onto cortical excitatory neurons (Richardson et al., 2009), our data highlight one of the key parameters likely to contribute to the relative strength of thalamocortical inputs despite their numerical sparseness (Gil et al., 1999; Stratford et al., 1996). Synaptic contacts of a single axon were distributed on the dendrites independent of each other’s location indicating the lack of dedicated dendritic domains (Fig. 8) (Bollmann and Engert, 2009; Jia et al., 2010; Peron et al., 2009; Petersen et al., 2008). Furthermore, hotspots from the same axon were not located at similar distance from the soma as each other, suggesting the absence of an axon-specific uniform electrotonic distribution and consistent with the lack of correlation between the location of individual hotspots and the amplitude of the associated uEPSC (Fig. 8A). Finally the lack of correlation between the number of release sites at a given hotspot and the amplitude of the associated uEPSC (Supp. Fig. S2), suggest that larger uEPSCs do not result from an increased release sites per contact ratio. Rather, our data suggest that the uEPSC amplitude depends on the total number of synaptic contacts (Fig. 8D).

Structure of each synaptic contact

All but one of the hotspots examined exhibited evidence of multiple release sites (average 3.4±0.4, n = 34 (Figs. 4 and 5); a likely underestimate because we could not derive the number of release sites for the most reliable hotspots (n = 9 hotspots with no failures, Figs. 4 and 5)). We cannot exclude the possibility that contacts releasing only one vesicle were undersampled in our dataset due to a selection bias towards more salient, and thus larger, more reliable, Ca transients. However, we were typically able to resolve events resulting from the release of a single vesicle (Fig. 4D). Furthermore, recordings in the presence of the low-affinity antagonist γ-DGG, which are not biased by selection for imaging, revealed clear evidence for release of multiple vesicles (Fig 6). Therefore, single release sites are likely to represent only a small fraction of the total number of contacts.

The results of failure analysis (1 to 7 release sites per hotspot (Figs. 4, 5)) are based on two assumptions: (i) that a Pr of 0.8 is homogeneous and (ii) that the decrease in Pr is also homogeneous. However, if Pr were as low as 0.5, the calculated N would range from 1 to 13 with a mean of 6.0 ± 0.5 release sites/hotspot; if the Pr were as high as 0.95, N would range from 0.6 to 6 with a mean of 2.7 ± 0.2 release sites/hotspot (n = 31). The second assumption is supported by the relatively good match between the overall decrease in the Pr (as estimated by the decrease in EPSC amplitude) and the decrease in the amplitude of the Ca transient at an individual hotspot (Fig 5D and Supp. Fig. S2).

The ultrastructure of this synapse has been studied previously (Benshalom and White, 1986; Kharazia and Weinberg, 1994; Staiger et al., 1996; White et al., 1984), but our data represent the first set of serial images, allowing for detailed analysis of the synaptic structure. The finding that each contact is composed of one bouton apposed to one PSD (Fig. 7) is consistent with the γ-DGG experiments suggesting multi-vesicular release (DiGregorio et al., 2002; Tong and Jahr, 1994; Wadiche and Jahr, 2001; Kharazia and Weinberg, 1994; Staiger et al., 1996).

Functional effects of multivesicular release

One consequence of releasing many vesicles from one bouton is that the occupancy of postsynaptic receptors will depend on the number of vesicles released and hence on Pr. Because the activation of these receptors contributes to the postsynaptic Ca transient, local Ca concentration will change progressively with changes in Pr, as can be observed with neuromodulators (Fig. 4) (Chalifoux and Carter, 2010; Higley et al., 2009) or during repetitive presynaptic activity (Fig. 5) (Hull et al., 2009). Thus, in response to each action potential, local Ca influx remains proportional to the global excitation of the cell. This mode of transmission contrasts with a spatial scattering of individual release sites, as observed between cortical pyramidal cells and interneurons (Koester and Johnston, 2005), where local transmission is all-or-none, and thus changes in Pr are reflected by changes in success rate over many action potentials.

Is release likely to be reliable in physiological conditions? Variance mean analysis provides an estimate of Pr of 0.31 (n = 3) at 1 Ca, 3.5 Mg, which represents a lower bound to release in comparison to physiological saline (~1.3 Ca, 1 Mg). At a Pr of 0.31, a bouton with an N of 3 would only produce failures in 33% of action potentials.

Computational and experimental studies of the consequences of clustering synapses have focused on the increased ability of a clustered connection to elicit supralinear responses via voltage-dependent dendritic conductances (Bollmann and Engert, 2009; Larkum and Nevian, 2008; Magee, 2000; McBride et al., 2008; Poirazi and Mel, 2001; Polsky et al., 2004; Segev and London, 2000). However, given the absence of dendritic spikes in hippocampal fast-spiking interneurons (Hu et al., 2010), the thalamic input to cortical interneurons is unlikely to drive regenerative dendritic activity. Instead, the release of multiple vesicles at one contact might cause sublinear summation due to the reduction in driving force caused by each additional quantum (Tamas et al., 2002). In fact, the thalamocortical input appears to be structured to limit nonlinearities by clustering no more than ~7 release sites in a single bouton (Fig. 9, Supp. Fig. S5). Thus the configuration of 3–4 release sites per bouton allows for near-linear dendritic summation while causing only minor inefficiencies due to shunting.

In conclusion, the synaptic configuration reported here, that of several synaptic contacts, each containing a cluster of release sites, represents an intermediate configuration between the two extremes of anatomy: concentrated, like the mossy fiber synapses in the hippocampus and cerebellum (Salin et al., 1996; Saviane and Silver, 2006); and distributed like intracortical connections onto inhibitory neurons (Gulyas et al., 1993; Miles and Poncer, 1996; Geiger et al., 1997; Koester and Johnston, 2005),

Our findings build a picture in which thalamic inputs onto cortical inhibitory neurons target proximal dendrites with powerful synapses that elicit locally reliable, graded release. These results highlight the unique topological and functional strategy implemented by thalamic inputs to excite interneurons and thus reliably elicit cortical feedforward inhibition.

Materials and Methods

Electrophysiology

All experiments were conducted in accordance with UCSD animal protocols. Chemicals were from Sigma unless otherwise specified. Thalamocortical slices were prepared from juvenile (P14–25) or adult mice (P39–65; ICR White, Charles River) using cutting planes that preserve the ventroposteromedial thalamic nucleus and barrel cortex (see also Supplemental Methods) (Agmon and Connors, 1991; Porter et al., 2001). Animals were anesthetized with Isoflurane; following decapitation, the brain was extracted and dissected in ice-cold sucrose solution (in mM: 83 NaCl, 2.5 KCl, 0.75 CaCl2, 3.3 MgSO4, 1.2 NaH2PO4, 26 NaHCO3, 22 glucose, 73 sucrose).

Whole-cell recordings were carried out in a submerged chamber at room temperature (20 – 22 °C) except for a subset of experiments in Fig. 6 at 32–33° C using an Olympus BX51W1 microscope with a water-immersion 40x objective (NA 0.8). Slices were perfused with high Ca, low Mg artificial cerebrospinal fluid (in mM: 119 NaCl, 2.5 KCl, 1.3 NaH2PO4, 4 CaCl2, 27 NaHCO3, 0.5 MgCl2, 20 glucose) to aid in visualizing hotspots. Pipette solution for all experiments except those involving glutamate uncaging contained (in mM): 140 K gluconate, 10 HEPES, 3 NaCl, 2 Na2ATP, 0.3 NaGTP, 5 QX-314-Cl (Ascent Scientific), 0.15 Oregon Green 488 BAPTA-1 (OGB; Molecular Probes), and 0.3% biocytin.

Recordings were targeted to large, oblong somata in Layer 4 using DIC infrared video microscopy. Neurons were voltage clamped at −60 to −70 mV (uncorrected for junction potential, which was calculated as −14 mV (ClampFit)). Data were recorded with a Multiclamp 700B, digitized at 10 kHz with a Digidata 1322A, filtered at 2 kHz, and acquired in Clampfit 9 (Axon Instruments). Analysis was carried out in Igor Pro 5 (Wavemetrics) using custom-written routines.

Stimulation

Single fiber stimulation was performed and ascertained as described in Gabernet et al., 2005 and Hull et al., 2009. For “threshold single fiber stimulation” the stimulation intensity was set such that EPSC successes would randomly alternate with failures. For single fiber stimulation the threshold stimulation intensity was increased until EPSC failures were no longer evoked, yet the average amplitude of EPSC successes remained the same as during threshold stimulation (Figs. 2D, 3C, 4C–D, 5). At the beginning of every experiment, we used the “threshold single fiber stimulation” protocol to ensure that hotspot successes and failures co-fluctuated with the simultaneously recorded EPSC, thus establishing the monosynaptic nature of the response to a single thalamic afferent (Figs. 2A–B, 3A). In some instances, the identified single thalamic fiber was not the lowest-threshold recruited fiber (Fig. 4C–D insets). During the rest of the experiment, the stimulation intensity was increased to reach the “single fiber stimulation” condition. (Gabernet et al., 2005; Hull et al., 2009).

Dendritic aspiration

For the aspiration experiments in Fig. 3, a second pipette was placed in close proximity to the dendrite of interest just proximal to the identified hotspot. Negative pressure was applied until the dendrite was drawn into the pipette. Aspiration was considered a success if the distal dendrite depolarized and began blebbing. Neurons were only included for analysis if the series resistance changed < 15% in this process (average change, + 5%) and the input resistance was stable (average change, − 4%; n = 5).

Terminology

We refer to synapses as the sum of all contacts between an axon and the target neuron; contact or contact site as morphologically identifiable apposition between the pre-and postsynaptic membrane. Release site is a physiologically identifiable site of quantal release. A contact can have one or more release sites.

Imaging

Images were acquired with a cooled CCD camera (Till Imago-QE) in TillVision software. For fluorescence, the image was binned at 2×2; with a 40X objective, each pixel represented 1/3rd μm. An LED with peak wavelength at 470 nm and total power of 210 mW (Thor Labs) provided illumination; each image was acquired over a 15 ms period at an overall rate of 15–20 Hz. Fluorescence intensity analysis was performed in TillVision and Microsoft Excel. A region of interest around a hotspot was selected, and two identically sized flanking background regions were averaged and subtracted from the fluorescence signal before carrying out ΔF/F analysis. To determine hotspot dimensions (Fig. 2), the ΔF/F image along the longitudinal axis of the dendriteunderwent a single pass of 3-pixel (1 μm) boxcar smoothing and traces were aligned at their peaks. We verified that the high-affinity Ca indicator OGB was not saturated by synaptic input (Supp. Fig. S4).

Hotspot intensity is reported as the average of the first 5 image frames (300–340 ms) following stimulation. Successes of Ca hotspots on a sweep by sweep basis were defined as occurring when the ΔF/F of ≥ 2 of the 5 image frames following synaptic stimulation exceeded 2x the SD of the baseline period. During paired-pulse and 10-pulse analysis, successes of Ca hotspots were defined as occurring when the running integral of the 5 image frames following the second (or 10th) synaptic stimulation exceeded the mean + 2x SD of the integral of interleaved single- (or 9-) stimulus trials, after all trials were scaled to the same baseline.

Histology

Slices containing biocytin-filled neurons were processed with diaminobenzidine (DAB) according to standard methods (see Supplemental Methods). Neurons were imaged on a Zeiss Imager A1 microscope with a 63x objective (oil, N.A. 1.4). Cells were traced in Neurolucida 8 (MBF Bioscience). The live fluorescence image and the reconstructed outline were then compared to identify the precise location of the hotspot, and a marker was placed at the corresponding dendritic location. Analysis of morphology was then carried out in Neurolucida Explorer 4.

Most reconstructed neurons displayed axons and dendrites that arborized exclusively or predominantly in L4 (axons: 40/49 neurons; dendrites: 39/50). The remaining neurons extended processes to L2/3 and/or L5, and rarely beyond. All reconstructed neurons (50/50) were aspiny. QX-314 in the recording solution precluded characterization based on firing properties. Two classes of interneurons receive thalamic inputs (fast spiking (FS) parvalbumin expressing cells, and low threshold spiking somatostatin expression neurons (Beierlein et al., 2003; Tan et al., 2008)); only FS cells show the large-amplitude (uEPSC 315 ± 57 pA) and depressing thalamic input of the neurons included in this study (Beierlein et al., 2003). Furthermore, the input resistance (mean ± s.d., 161 ± 51 MΩ, n = 52), membrane time constant (11.9 ± 3.8 ms, n = 50), EPSC kinetics (Results), appearance under DIC IR video-microscopy and reconstructed morphology of the neurons included in this study is consistent with Layer 4 FS cells characterized in a separate dataset in which QX-314 was not included in the intracellular solution (n = 49/52 had action potentials with half-widths under 1 ms [mean ± s.d., 0.67 ± 0.13 ms] and spike rates in excess of 100 spikes/s) as well as previously described in this lab (Gabernet et al., 2005; Hull et al., 2009).

Statistical analysis of the spatial distribution of hotspots

To test whether the likelihood that two hotspots arising from the same axon were of similar distance from the soma, compared with the likelihood of this event for randomly chosen hotspots, we plotted the distance from soma of each hotspot versus all other hotspots (n = 3199 pairwise comparisons of the longer vs smaller distance). This analysis was then repeated for the subset of hotspots which arose from the same axon (n = 15 pairwise comparisons). To evaluate the likelihood that the correlation of the same-axon distribution (r2 = 0.33) was significantly larger than that of the all-hotspot distribution (r2 = 0.19), we employed a bootstrap analysis. The all-hotspot dataset was randomly resampled into 1000 datasets each consisting of 15 pairwise comparisons. The resulting R2 values of all fits ranged from 0.0 to 0.84, with 32% of the values ≥ 0.33. Thus we concluded that the difference in correlation was insignificant.

For analysis of hotspot distance relative to dendritic branch points, we compared the median distance from the nearest branch point of all hotspots (n = 81, resampled 100 times) to the median distance from branch point of the dendritic arbor density, using only hotspot-bearing dendrites. To ensure that the disproportionate expression of hotspots close to branch points was not an artifact of their distribution close to the soma, where more branch points typically occur, the dendritic density function was truncated at 150 μm from the nearest branch point, the furthest distance at which any hotspots were found. Using the entire dendritic arbor produced an even greater disparity between hotspot and dendrite density distributions (not shown).

Electron microscopy

One adult animal expressing both Cre under control of the parvalbumin (PV) promoter (Hippenmeyer et al., 2005) and the reporter RosatdTomato (Jackson Labs 007914; (Madisen et al., 2010)) to label PV+ neurons was used for electron microscopy. The animal was perfused with heparin (10 U/mL) in PBS followed by 4% paraformaldehyde and 0.5% glutaraldehyde in PBS. The brain was removed and postfixed overnight in 4% paraformaldehyde before being sectioned at 60 um in ice-cold PBS on a Leica VT1000 vibratome using the same cutting angles as for physiology. Sections were treated with glycine (100 mM) in PBS for 15 min. Antigen retrieval was carried out by microwaving sections at 50°C for 5 min, resting them for 5 min, and repeating, in 10 mM Na-citrate buffer (pH 6.0). Blocking buffer (1.5% normal goat serum, 1% bovine serum albumin in PBS) was applied for 30 min. To immunostain PV-tdTomato neurons and thalamic afferents, the following reagents (Vector Labs except as noted) were applied in sequence with PBS washes between steps: Rabbit anti-RFP (1:1000, 14 hr, 4 °C; Abcam); biotinylated goat anti-rabbit (0.5%, 2 hr); avidin-biotin reaction (2 hr; Vector ABC kit); the chromogen VIP (10 min) (Zhou and Grofova, 1995);guinea pig anti-VGluT2 (1:2000, 14 hr, 4 °C; Chemicon); biotinylated goat anti-guinea pig secondary (0.5%, 2 hr); DAB (10 min).

Slices were fixed in 1% OsO4 on ice for 1 hr. Slices were washed in cold ddH2O and passed through a series of cold ethanol solutions of (70%, 90%, 100% (2x); 10 minutes each). The slices were then treated with cold dry acetone for 10 minutes and room temperature acetone for 10 minutes, followed by 50:50 acetone:Durcupan ACM resin overnight and then 100% Durcupan overnight. The slices were flat-embedded between glass slides treated with liquid release agent (Ted Pella) and left in oven at 60°C for 2 days.

A block of layer 4 in barrel cortex was trimmed and ribbons of serial thin sections (80 nm) were cut on a Leica Ultracut UCT using a diamond knife (Diatome). Ribbons were collected on formvar-coated slot grids and post-stained with 1% aq. uranyl acetate and Sato lead. TEM images were collected on a 1200EX JEOL microscope at 20,000X magnification. Negatives were digitized with a Flextight scanner at 1500 dpi, contrast and brightness were adjusted in Adobe Photoshop, and volume reconstruction was performed using Reconstruct (Fiala, 2005).

Modeling

Three neurons were selected based on physiology and completeness of fill for further reconstruction, including process thickness, of the dendritic arbor and the initial ~1/3rd of the axon. Tracings were imported into NEURON 7 (Hines and Carnevale, 1997) using the Import3D tool and endowed with specific membrane capacitance of 1 μF/cm2, intracellular resistivity of 170 Ω-cm, and passive leak conductance of 130 μS/cm2 (soma and dendrites) or 6 μS/cm2 (axon) (Norenberg et al., 2010). The d-lambda method was used to set segment partitioning such that the length of each segment was < 1% of the alternating current length constant at 1 kHz (Carnevale and Hines, 2006).

Synaptic conductances were simulated using a custom dynamic clamp (A. Gartland). 16 conductances with reversal potential of 0 mV were attached across the dendritic arbor so that the statistics of their distribution approximately matched the statistics of hotspots from reconstructed neurons (model: median distance from soma, 49 μm, 5th–95th%ile 17–102 μm; data: median 50 μm, 5th–95th %ile 15–115 μm). For the single electrode configuration, each of the 16 loci was tested in turn; for the 2, 4, and 8 electrode configurations, 8–16 possible configurations were tested.

Supplementary Material

01

Acknowledgments

We are grateful to J. Isaacson, the members of the Scanziani and Isaacson labs and D. DiGregorio for discussion of this work; to P. Abelkop for histological help; and to J. Evora for mouse colony support. A. Gartland contributed code for simulation of conductance injection in the NEURON modeling environment.

This work was supported by a training grant to M.W.B. (NS007220), a postdoctoral National Research Service Award fellowship to C.H. (NS060585), National Center for Research Resources Grant 5P41RR004050 to M.H.E., NIH grant MH070058 to M.S., the Gatsby Charitable Foundation, and the Howard Hughes Medical Institute.

Footnotes

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