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Spiny stellate cells. A, Light micrograph of spiny stellate cell surrounded by dLGN axons. B, LM reconstruction of the spiny stellate cell in A, with dendrites in yellow and contacts with the dLGN boutons and axons represented by red dots. The white dots are all of the dLGN boutons judged by LM that surrounded the neuron's dendrites. This neuron had a simple receptive field, 0.25° 0.1° (length width), direction preference, and ocular dominance group 2. C-E, LM reconstruction of the dendrite and soma (black) of the remaining three spiny stellate neurons, with LM contacts between dendrites and dLGN axons and boutons shown in red. Layers (3, 4, 5) are shown to the left. F-H, Outline of coronal sections with arrows indicating the location of each neuron; outlined in red are the contralateral axonal patches in layer 4 and the regions of weak thalamic labeling are outlined in blue, representing the ocular dominance patch of the ipsilateral eye. C, G, Neuron Cat1804 -P4C4 responded preferentially to the ipsilateral eye. D, G, Neuron Cat1804 -P3C4. E, H, Neuron Cat2003-S28C1. F, Neuron Cat0904 -P4C2 responded preferentially to the contralateral eye.

Spiny stellate cells. A, Light micrograph of spiny stellate cell surrounded by dLGN axons. B, LM reconstruction of the spiny stellate cell in A, with dendrites in yellow and contacts with the dLGN boutons and axons represented by red dots. The white dots are all of the dLGN boutons judged by LM that surrounded the neuron's dendrites. This neuron had a simple receptive field, 0.25° 0.1° (length width), direction preference, and ocular dominance group 2. C-E, LM reconstruction of the dendrite and soma (black) of the remaining three spiny stellate neurons, with LM contacts between dendrites and dLGN axons and boutons shown in red. Layers (3, 4, 5) are shown to the left. F-H, Outline of coronal sections with arrows indicating the location of each neuron; outlined in red are the contralateral axonal patches in layer 4 and the regions of weak thalamic labeling are outlined in blue, representing the ocular dominance patch of the ipsilateral eye. C, G, Neuron Cat1804 -P4C4 responded preferentially to the ipsilateral eye. D, G, Neuron Cat1804 -P3C4. E, H, Neuron Cat2003-S28C1. F, Neuron Cat0904 -P4C2 responded preferentially to the contralateral eye.

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In the cat's visual cortex, the responses of simple cells seem to be totally determined by their thalamic input, yet only a few percent of the excitatory synapses in layer 4 arise from the thalamus. To resolve this discrepancy between structure and function, we used correlated light and electron microscopy to search individual spiny stellate cells...

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... Labeled axons were found in areas 17 and 18, where they formed arbors mostly in layers 4 and 6. Axons labeled by dLGN injections always formed patches in area 17 that represent the contralateral eye. As documented previously ( LeVay et al., 1978), some thalamic boutons were also found in the adjacent regions representing the ipsilateral eye (Fig. 1). Part of the ipsilateral label is attributable to thalamic boutons formed between ocular dominance clusters (Freund et al., 1985a;Humphrey et al., 1985), and in some cases also to spillover of the injection site to lamina ...
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... made extracellular and intracellular recordings from the four orientation-tuned SSs, and in three cases plotted their RFs. The neuron shown in Figure 1 A, B (C0904P4C2) had a simple receptive field that is typical of SSs ( Martin and Whitteridge, 1984), and its ocular dominance matched the SS's location in a cluster of dLGN axons representing the contralateral eye. A SS dominated by the ipsilateral eye is shown in Figure 1C; as expected for its ocular dominance, it lies outside the main cluster of labeled dLGN axons. ...
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... neuron shown in Figure 1 A, B (C0904P4C2) had a simple receptive field that is typical of SSs ( Martin and Whitteridge, 1984), and its ocular dominance matched the SS's location in a cluster of dLGN axons representing the contralateral eye. A SS dominated by the ipsilateral eye is shown in Figure 1C; as expected for its ocular dominance, it lies outside the main cluster of labeled dLGN axons. ...
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... SS whose dendrites had the most LM contacts from the dLGN axons is shown in Figure 1 A. A reconstruction of the same neuron is shown embedded in the cloud of all the labeled dLGN boutons (white dots) that surrounded it (Fig. 1 B). The sites of LM contacts with the dendrite of the SS are indicated by the red dots. ...
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... SS whose dendrites had the most LM contacts from the dLGN axons is shown in Figure 1 A. A reconstruction of the same neuron is shown embedded in the cloud of all the labeled dLGN boutons (white dots) that surrounded it (Fig. 1 B). The sites of LM contacts with the dendrite of the SS are indicated by the red dots. The locations of the dLGN LM contacts with the remaining SSs are also shown in Figure 1 and in the dendrograms of Figure 3A. LM contacts were made with all the dendrites of all the neurons both proximally and distally. There was no apparent preference ...
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... sites of LM contacts with the dendrite of the SS are indicated by the red dots. The locations of the dLGN LM contacts with the remaining SSs are also shown in Figure 1 and in the dendrograms of Figure 3A. LM contacts were made with all the dendrites of all the neurons both proximally and distally. ...
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... all of the spine LM contacts. But which of the unverified contacts are synapses? We avoided this problem by generating all possible combinations of 55% of the unverified LM spine contacts. Each of these Table 1. A, First, we calculate the total number of LM contacts (red dots, n c ) with the dendrites (yellow) of the spiny stellate cell (see also Fig. 1A). B, Second, we verify what the probability is of an LM contact to be an EM-verified synapse (see also Figs. 4, 5). C, Third, we find what the density is of dLGN synapses in the vicinity of the labeled spiny stellate dendrite using the physical disector method. Shown is a disector counting frame. Synapses present in both the reference ...

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... Previous studies have computed proximities from skeletons of simulated models (Udvary et al., 2022), or man-ually traced data (Mishchenko et al., 2010;Kasthuri et al., 2015), with a similar logic. Proximities are necessary but not sufficient for the formation of a synapse (Peters and Feldman, 1976;Brown and Hestrin, 2009;Mishchenko et al., 2010;Costa and Martin, 2011), and so the "proximity graph" can serve as a valuable null distribution for comparing potential connectivity with synaptic connectivity between neurons: Instead of looking at synapse counts between cells which are dependent on the geometry and completeness of the neuropil, proximities make it possible to calculate "conversion rates"the fraction of proximities which resulted in actual synaptic connections. NEURD also provides functions to compute presyn skeletal walk -the distance from a synapse to the soma of the presynaptic neuron along the axon, and and postsyn skeletal walk -the distance from synapse to soma along the postsynaptic dendrite. ...
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... Note that the derivation of Eq. (22) assumes only a to be small and does not depend on the scaling relation between a and K. On the other hand, the fact that CV K * increases linearly with a makes the state emerging in networks of conductance-based neurons with a ~ 1/ log(K) significantly more robust to connection fluctuations than that emerging with a ~ K −α , for which CV K * K −α , and with current-based neurons, where CV K * 1/ K [56]. Note that, while in randomly connected networks CV K 1/ K, a larger degree of heterogeneity is observed in cortical networks [50,[56][57][58][59][60][61][62]. Our results show that networks of conductancebased neurons could potentially be much more robust to such heterogeneities than networks of current-based neurons. ...
... However, in networks with structural heterogeneity, with connection heterogeneity larger than 1/ K, the variability in mean input currents produces significant departures from the asynchronous irregular state, with large fractions of neurons that become silent or fire regularly [56]. This problem is relevant in cortical networks [56], where significant heterogeneity of in-degrees has been reported [50,[57][58][59][60][61][62], and different mechanisms have been proposed to solve it [56]. Here, we showed that networks of conductance-based neurons also generate irregular activity without any need for fine-tuning and, furthermore, can support irregular activity with substantial structural heterogeneity, up to the order of 1/ log(K). ...
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... Excitatory and inhibitory interneurons are locally [26] and based on this fact, we consider an excitatory and an inhibitory connection between excitatory interneurons and fast inhibitory interneurons. Thalamus is globally connected to the excitatory interneurons by the thalamic relay nucleus, and the thalamic relay nucleus is regarded as an excitatory population [27]. Here, we consider an excitatory connection from the thalamic relay nucleus population to the excitatory interneurons. ...
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... This process was repeated for 37 Gabor patches rotated from 0 • to 180 • at steps of 5 • . The model has been then sized considering real data from vision literature [55][56][57], as summarized in Tables 2 and 3 and detailed in Appendix B. ...
... In detail, the retinotopic cells of LGN section merely receive one-to-one connections from the retina and connect to spiny stellate neurons (SS) in layer IV within V1 [55]. This was implemented using a strong input current of 15,000.0 ...
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... Note that the derivation of Eq. (11) only assumes a to be small and does not depend on the scaling relation between a and K. On the other hand, the fact that CV * K increases linearly with a makes the state emerging in networks of conductance-based neurons with a ∼ 1/ log(K) significantly more robust to connection fluctuations than that emerging with a ∼ K −α , for which CV * K ∼ K −α , and with current-based neurons, where CV * K ∼ 1/ √ K [45]. Note that, while in randomly connected networks CV K ∼ 1/ √ K, a larger degree of heterogeneity has been observed in cortical networks [39,[45][46][47][48][49]. Our results show that networks of conductance-based neurons could potentially be much more robust to such heterogeneities than networks of current-based neurons. ...
... However, in networks with structural heterogeneity, with connection heterogeneity larger than 1/ √ K, the variability in mean input currents produces significant departures from the asynchronous irregular state, with large fractions of neurons that become silent or fire regularly [45]. This problem is relevant in cortical networks [45], where significant heterogeneity of in-degrees as been reported [39,[46][47][48][49], and different mechanisms have been proposed to solve it [45]. Here we showed that networks of conductance-based neurons also generate irregular activity without any need for finite tuning, and furthermore can support irregular activity with substantial structural heterogeneity, up to order 1/ log(K). ...
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... (B) Corticocortical input density (red and blue) for each type of synapse per μm 2 of dendrite, as a function of distance from the soma over all dendrites. Thalamocortical input density followed a Gaussian probability distribution with respect to distance from the soma (orange; Gaussian with a mean of 83.6 μm and a standard deviation of 28.3 μm, transformed to show density per μm 2 ; [19]). (C) The individual synaptic conductance values were the same for all synapses in one class. ...
... To evaluate the contribution of an individual thalamic cell projecting onto the modelled cell, three synapses were added, clustered onto the same dendritic branch, approximately 78 μm away from the soma [19] and typically spaced by 18 μm (see Fig 1A and 1B for details; located on compartments a3_122, a3_121 and a3_12 at positions 0.5, 0.2 and 0.9 respectively, see file l4sscell.hoc in https://senselab.med.yale.edu/ModelDB/showmodel.cshtml?model= 146565 for details). These synapses were modelled using the same parameters as for other thalamocortical synapses. ...
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We have previously shown that the physiological size of postsynaptic currents maximises energy efficiency rather than information transfer across the retinothalamic relay synapse. Here, we investigate information transmission and postsynaptic energy use at the next synapse along the visual pathway: from relay neurons in the thalamus to spiny stellate cells in layer 4 of the primary visual cortex (L4SS). Using both multicompartment Hodgkin-Huxley-type simulations and electrophysiological recordings in rodent brain slices, we find that increasing or decreasing the postsynaptic conductance of the set of thalamocortical inputs to one L4SS cell decreases the energy efficiency of information transmission from a single thalamocortical input. This result is obtained in the presence of random background input to the L4SS cell from excitatory and inhibitory corticocortical connections, which were simulated (both excitatory and inhibitory) or injected experimentally using dynamic-clamp (excitatory only). Thus, energy efficiency is not a unique property of strong relay synapses: even at the relatively weak thalamocortical synapse, each of which contributes minimally to the output firing of the L4SS cell, evolutionarily-selected postsynaptic properties appear to maximise the information transmitted per energy used.