Introduction

The human neocortex is thought to be one of the most complex biological structures yet most of our knowledge regarding the properties of individual cortical neurons and their synapses is based on experiments performed in model organisms. Recent findings in human specimens indicated the emergence of new cell types in the human neocortex 15 and species related differences in transmitter release probability 6, regenerative dendritic events 79, ion channel composition of the dendrites 10, temporal dynamics of synaptic potentiation 11 and activity patterns of the microcircuits 1214. Pioneering experiments indicate that human dendrites could evolve in ways favoring mechanisms not yet found in other species 7,9 and might contribute to the apparent efficacy of human cognitive performance 15. Functional differences are accompanied by a divergence in morphological features, ranging from general alterations in the thickness of cortical layers to increasing complexity in anatomical properties of classical cell types 5,16. Human pyramidal cells with larger and more extensively branching dendritic trees have an opportunity to receive higher number of synaptic inputs 17,18. This, when combined with the increase morphological complexity, endows human cortical neurons with enhanced computational and encoding capabilities 5,8.

However, the increase in size of dendrites and axons might come with a cost of longer signal propagation times of both synaptic potentials in dendrites (larger dendritic delay) as well as action potentials in axons (axonal delay). This will slow down information processing, both within individual cortical neurons as well as in respective cortical circuits 19,20. Indeed, transferring large amounts of information within and between brain regions in a short amount of time, and the capability of the neuronal circuit to respond sufficiently fast to its environment, is an important evolutionary function of neuronal networks 20,21. Increased cell-to-cell delay will also affect plasticity/learning processes that depend on the timing between the pre- and the post-synaptic action potentials, e.g., the spike-timing-dependent plasticity (STDP) mechanism. It was therefore suggested that certain scaling morphological rules must be applied so that animals with larger brains can still function adequately in their environment 22. Is that the case for cortical neurons in human?

We set out in this study to directly measure the speed of signal propagation in both dendrites and axons of individual human and rat L2/3 pyramidal cells and applied experiments-based models to identify cellular and subcellular properties involved in controlling neuron-to-neuron propagation delays. Our integrative experimental and modeling study provides insights into the scaling rules that enable to preserve information processing speed albeit the much larger neurons in the human cortex.

Results

Signal propagation paths and delays in human and rat pyramid to pyramid connections

We followed recent results indicating differences in the density and size of human and mouse supragranular pyramidal cells (PCs) 4 in a human-rat setting. As expected, measurements on 3D reconstructions based on randomly selected, electrophysiologically recorded and biocytin filled human (n = 30) and rat (n = 30) L2/3 cortical pyramidal cells (Fig. S1A) show significant differences in the horizontal (463.17 ± 119.48 vs. 324.79 ± 80.58 µm, t test: P = 1.687 × 10-6) and vertical extensions (542.58 ± 146.89 vs. 409.99 ± 102.69 µm, t test: P = 0.00013), and in the total dendritic (9054.94 ± 3699.71 vs. 5162.68 ± 1237.71 µm, t test: P = 7.203 × 10-7) and apical dendritic length (4349.76 ± 1638.39 vs. 2592.15 ± 818.26 µm, t test: P = 1.638 × 10-6, Fig. S1B,C).

To examine the temporal aspects of information propagation in excitatory microcircuits, we performed simultaneous whole cell patch clamp recordings in synaptically connected L2/3 PCs from acute neocortical slices from rat and human tissues (Fig. 1). Excitatory postsynaptic potentials (EPSPs) were measured in response to single action potentials (AP) in presynaptic cells (Fig. 1B). Synaptic latency was calculated as the time difference between the peak of the presynaptic AP and the onset point of the postsynaptic EPSP (see Fig 1B and Methods). We did not find significant differences in synaptic latencies between human and rat PC-to-PC connections (rat: 1.126 ± 0.378 ms, rat: n=19, human: 1.111 ± 0.306 ms, n=17, Mann-Whitney test: P=0.949). Both pre- and postsynaptic PCs were filled with biocytin during recordings allowing for post hoc identification of close appositions between presynaptic axons and postsynaptic dendrites23 (Fig. 1A). We measured the shortest axonal path lengths linking the presynaptic soma to close appositions on the postsynaptic dendrite (rat: 168.267 ± 49.59 µm, human: 272.22 ± 73.14 µm) and the shortest dendritic path lengths from close appositions found exclusively on dendritic spine heads to the postsynaptic soma (rat: 84.9 ± 18.301 µm, human: 129.48 ± 40.005 µm) in a subset of recordings (rat: n = 6, human: n = 5). Consequently, we found that the minimal intersomatic distance (the sum of the shortest axonal and dendritic paths) in each synaptically connected PC-to-PC pair was significantly smaller in rats compared to humans (rat: 259.7 ± 58.8 µm, human: 402.12 ± 74.757 µm, Mann-Whitney test: P = 0.009, Fig. 1D). We did not find significant difference in these paired recordings in synaptic latency (rat: 1.09 ± 0.375 ms, n = 6 from n = 6 rats; human: 1.102 ± 0.408 ms, n = 5 from n = 5 patients; Mann-Whitney test: P=0.931, Fig. 1C, darker dots). Given that similar synaptic latencies accompany different lengths for signal propagation in the two species, membrane potentials (APs and/or EPSPs) are likely to propagate faster in human PC-to-PC connections.

Paired recordings from synaptically connected layer 2/3 rat and human pyramidal cells.

A Representative reconstructions of electrophysiologically recorded and biocytin filled rat (left, gray soma and dendrites) and human (right, blue soma and dendrites) synaptically connected pyramidal cell pairs. The presynaptic soma and the axon are in red; the postsynaptic dendritic path from the synapse to the soma is highlighted in green. Minimal intersomatic distance was calculated as the sum of the shortest presynaptic axonal (red) and postsynaptic dendritic (green) paths. Boxed region is magnified on the bottom. Scale bars for insets are 20 µm. B Synaptic latency was determined as the time difference between the peak of the presynaptic AP (pink dot) and the onset of the postsynaptic excitatory postsynaptic potential (red dot). Straight lines indicate baseline and rise phase fitting. C Summary of synaptic latencies in rat (red) and human (blue) cell pair recordings. Each dot represents the average latency in a cell measured from the AP peak to EPSP onset as illustrated in panel B. The darker colors represent the paired recordings with full reconstruction. For these data points there was no significant difference between the two species (Mann-Whitney test: P = 0.931). The extended dataset with cell pairs without reconstruction shows no significant difference between the two species (Mann-Whitney test: P = 0.949). D Minimal intersomatic distance of the recorded cell pairs. Intersomatic distance was calculated through every putative synapse and the shortest was taken into account. The minimal intersomatic distance was significantly longer in the human dataset compared to rats (Mann-Whitney test: P = 0.009). **P < 0.01.

Direct measurements of signal propagation in PC dendrites and axons

Compensation of longer axonal and dendritic paths must be explained by higher velocity of signal propagation along axons and/or dendrites. We therefore asked whether interspecies differences can be found in axonal and/or dendritic signal propagation in L2/3 PCs.

First, we investigated whether we could find dissimilarities between the two species in the speed of signal propagation along axons of PCs. We whole cell recorded the soma and a distal axon simultaneously, positioning the axonal recording electrode on one of the blebs formed at the cut ends of axons during slice preparation. Somatic current injections were used to trigger APs and the time between somatic and the axonal AP was measured (Fig. 2A). We captured two-photon images during electrophysiological recording and measured the length of the axonal path from the somatic to the axonal electrode on image z-stacks. The dataset was restricted to recordings that matched the distances from the soma to axo-dendritic close appositions determined above along the axon of synaptically coupled PC-to-PC connections (rat: n = 8, 268.203 ± 76.149 µm vs. human: n = 9, 281.507 ± 125.681 µm, two sample t test: P = 0.799, Fig. 2F). The latency between the soma and the axon bleb of the propagating AP peaks was not significantly different between the species (rat: n = 8, 0.333 ± 0.211 ms vs. human: n = 9, 0.327 ± 0.123 ms, two sample t test: P = 0.945). The axonal speed of AP propagation was calculated for each cell from the time required from soma to recording site. We did not find significant difference the propagation speed of APs in the axons of rat and human (rat: n = 8, 0.848 ± 0.291 m/s vs. human: n = 9, 0.851 ± 0.387 m/s, two sample t-test: P = 0.282, Fig. 2F). Our axonal recordings suggest that there is no significant difference between the two species over the range of distances we investigated, so the lower latencies in the paired recordings may be due to dendritic differences.

Propagation velocity of dendritic and axonal signals in rat and human cortical pyramidal cells.

A Left, Human pyramidal cell simultaneously recorded with a somatic (red pipette) and axonal (green pipette) electrode. Right, Somatic depolarizing current (Isoma) evoked action potentials (Vsoma) and their propagation to the axonal recording site (Vaxon). B Path distances and AP latencies measured between the soma and axon bleb. AP propagation speed measured along the axon showed no significant difference (two sample t test: P = 0.986). All recordings were made at resting membrane potential. C Left, Two-photon image of a rat pyramidal cell recorded simultaneously with a somatic (red pipette) and dendritic (green pipette) electrode. Top, Dendritic stimulation (Idend) with simulated EPSP waveform (Vdend) and somatic response (Vsoma). Bottom, Somatic stimulation (Isoma) triggers an AP (Vsoma) detected in the dendrite as bAP (Vdend). D Left, simulated EPSP propagation speed in rat and human cells. Top right, simulated EPSP dendritic propagation speed was lower than bAP propagation speed (sEPSP: 0.294 ±0.085 m/s vs. bAP: 0.381 ± 0.149 m/s, Wilcoxon signed ranks test: P = 1.631×10-9). Bottom right: there was a significant correlation in the forward propagating sEPSP speed and the speed of bAPs. Darker dot is the data for the cell shown on panel C. E Left, Two-photon image and reconstruction of a human pyramidal cell recorded simultaneously with a somatic (red pipette) and dendritic (green pipette) electrode. Right, Somatic current (Isoma) evoked APs (Vsoma) and their backpropagation into the dendritic recording site (Vdend). F Top left, recording distance. Lower left, bAP latency was shorter in human cells (Mann-Whitney test: P=0.005). Right, bAP propagation speed was significantly higher in human dendrites (Mann-Whitney test: P = 6.369×10-6). Darker dot indicate the data for the cell shown on panel E. Scalebars A and C: 10 µm, E: 20 µm.*P<0.05, **P<0.01, ***P<0.001

So, we next sought to test rat and human dendritic signal propagation velocity using simultaneous whole cell patch clamp recordings with electrodes placed on the somata and dendritic shafts of PCs. Distances of somatic and dendritic recording locations (rat: 143.078 ± 72.422 µm, n = 46; vs. human: 153.446 ± 57.698 µm, n = 62, Mann-Whitney test: P = 0.175, Fig.2B) were chosen to be similar in the two species and in range of soma-to-dendrite distances of axo-dendritic close appositions determined above for synaptically coupled PC-to-PC connections. In the first set of experiments, we injected suprathreshold current through the somatic electrode and measured the time difference between the evoked AP peak at the soma and the respective backpropagating AP peak in the dendritic electrode (Fig. 2E and F). We found significant difference in the signal propagation time between rat and human PCs (rat: 0.672 ± 0.334 ms, n = 46; vs. human: 0.495 ± 0.229 ms, n = 62, Mann-Whitney test: P = 0.005, Fig. 2F). The AP propagation speed was calculated for each cell from the time difference between the somatic and dendritic APs divided by the distance between the two points. We found that the propagation speed was, on average, ∼1.47-fold faster in human (rat: 0.233 ± 0.095 m/s vs. human: 0.344 ± 0.139 m/s, Mann-Whitney test: P = 6.369 × 10-6, Fig. 2F). In a second set of experiments, using the same dual recording configuration, we tested orthodromic or forward propagating signal propagation velocity by injecting simulated EPSP (sEPSP) signals in the dendrites and recorded the resultant subthreshold voltage response in the soma (Fig. 2C). These experiments were performed in the same PCs where backpropagating AP velocities were also measured (rat: n = 24, human: n = 24). We found that sEPSP propagation speed was, on average, ∼1.26-fold faster in human (rat: 0.074 ± 0.018 m/s vs. human: 0.093 ± 0.025 m/s, two sample t test: P = 0.004; Fig. 2D). In addition, we found correlation between forward propagating sEPSP speed and back propagating AP speed (Pearson correlation coefficient, r = 0.396, P = 0.005302, Fig. 2D).

Contribution of ion channels of the dendritic membrane to signal propagation velocity

Hyperpolarization-activated cyclic nucleotide-modulated (HCN) channel densities were shown to be higher in human compared to rat layer 2/3 PCs and were shown to be instrumental in more depolarized resting membrane potentials and in larger sag potentials in response to hyperpolarization in the human 10. In addition, modeling predicted that signal delay in dendrites reduces with increased h-conductance 10. In line with previous studies, human PCs in our dataset had more depolarized resting membrane potential (rat: -70.49 ± 5.78 mV, human: -64.30 ± 7.28 mV, Mann-Whitney U test: P = 7.37× 10-6, Fig. S2A) but the average somatic input resistance were not significantly different in the two species (rat: 59.56 ± 21.86 MΩ, n = 46, human: 71.375 ± 65.485 MΩ, n = 62, Mann-Whitney test: P = 0.347, Fig. S2A).

Based on the correlation found between forward-propagating sEPSP speed and back-propagating AP speed, we performed pharmacological experiments on bAPs (since it is technically less challenging to evoke) to uncover potential contributors to increased dendritic speeds in humans. To test the contribution of h-channels to the elevated signal propagation speed in human dendrites, we performed pharmacological experiments with 20 µM ZD7288, a specific blocker of h-channels. Significant hyperpolarization of the resting membrane potential was observed in the human cells but not in the rat neurons (Fig. S2B) and significantly increased input resistance accompanied drug application in both human and rat neurons (Fig. S2C). Drug application significantly decreased bAP propagation speed in human PCs (control: 0.322 ± 0.073 m/s, ZD7288: 0.268 ± 0.066 m/s, n = 8, paired t test: P = 0.022, Fig. 3B) but not in rat PCs (control: 0.163 ± 0.054 m/s, ZD7288: 0.149 ± 0.057 m/s, n = 9, paired t test: P = 0.062, Fig. 3A). Along the same vein, changes in bAP propagation speed were higher in the human cells (rat: -0.014 ± 0.019 m/s, human: -0.054 ± 0.052 m/s, two-sample t test: P = 0.048, Fig. 3C) in response to h-channel blockage. It can therefore be argued that HCN channels may contribute to the higher conduction velocities in human dendrites, but do not by themselves explain the differences between the two species.

Contribution of HCN, Ca2+, Na+ and NMDA channels to bAP propagation speed in rat and human dendrites.

A Representative recording from layer 2/3 pyramidal cell of a rat. Two-photon maximum intensity projection image of Alexa 594 and biocytin filled neuron on the left, representative somatic AP (red) and dendritic bAP (green) on the upper right in the control condition (left) and after 20 µM ZD7288 application (right). Effect of ZD7288 on bAP propagation speed. Darker color represents the example cell. B Same as in panel A but for human cells. C Changes in bAP propagation speeds from control to drug application. The blockage of HCN channels changed bAP speeds more in human compared to the rat (two-sample t test: P=0.048). The darker colors represent the example cells in panel A and B. D-E Same as A and B but the ACSF contained 1 µM TTX, 200 µM CdCl2, and 20 µM AP5 in the drug application condition. F Comparison of bAP velocities measured in the cocktail of TTX/CdCl2/AP5 blockers reveals higher speed of propagation in human (Mann-Whitney test: P=0.001). Scalebars 20 µm. All recordings were done on resting membrane potential. *P < 0.05, **P < 0.01, ***P < 0.001.

Back-propagation of APs is an active process supported by voltage gated ion channels that can initiate regenerative events in the dendrites 24. To further investigate the influence of voltage gated ion channels we pharmacologically blocked voltage gated Na+ channels with tetrodotoxin (TTX, 1µM), voltage gated Ca2+ channels with cadmium chloride (CdCl2, 200 µM), and NMDA receptors with (2R)-amino-5-phosphonovaleric acid (AP5, 20 µM) simultaneously. Since the blockage of voltage gated Na+ channels prevent the initiation of APs, we kept the soma of the recorded cells in voltage clamp mode and used a prerecorded template as voltage command through a somatically placed electrode (the so called “simulated spike”) and measured the back propagation of the response to the somatic voltage command at a dendritic recording site in current clamp mode. As expected, the amplitude of the bAPs at the dendritic recording site dropped significantly in human and rat cells respectively (Fig. S2D). The speed of back propagation of membrane potential signals in dendrites turned “passive” by the pharmacological cocktail was significantly lower compared to drug-free control both in rat and human samples (rat control: 0.199 ± 0.053 m/s, rat TTX/CdCl2/AP5: 0.076 ± 0.03 m/s, paired t test: P = 2.099 × 10-5, human control: 0.395 ± 0.14 m/s, human TTX/CdCl2/AP5: 0.184 ± 0.061 m/s, Wilcoxon signed ranks test: P = 0.016, Fig. 3D,E). The human dendrites made “passive” by the cocktail retained higher bAP propagation speed (rat: 0.076 ± 0.03 m/s n = 8, human: 0.184 ± 0.061 m/s n = 8, Mann-Whitney test: P = 0.001 Fig. 3F). Taken together, when searching for factors contributing to higher signal propagation speeds in human compared to rat pyramidal dendrites, passive properties seem to have a major role in differentiating the two species and these are supplemented by minor contribution from HCN channels having different densities in human vs. rat.

Specific membrane capacitance

The specific membrane capacitance (Cm) can influence the time constant of the biological membrane, and it is a key determinant of the propagation of electrical signals. Recent experiments indicated that the Cm of human L2/3 PCs might be significantly lower compared to rodents 25 and modeling studies suggested that the decrease in Cm could lead to increased conduction speed and fewer synapses being able to evoke suprathreshold events in human PCs 25. However, a separate line of experiments could not detect differences in the Cm of L5 PCs between humans and rodents 7, or L2/3 PCs 26 thus, to test whether Cm is a component in producing elevated signal propagation velocity in human dendrites, we directly measured the Cm values of human and rat PCs by pulling nucleated patches 25 (Fig. 4A,B). We found no significant difference in the Cm between the human and rat L2/3 PCs (rat: 1.092 ± 0.14 µF/cm2 n = 20; human: 0.987 ± 0.196 µF/cm2 n = 19, two-sample t test: P = 0.0615, Fig. 4C). The specific membrane capacitance is determined by the dielectric constant of the membrane, and it is inversely proportional with the membrane thickness. We measured the membrane thickness of dendritic structures with transmission electron microscopy both in human and rat samples (Fig. 4D,E) and detected no significant differences between the two species (human: 4.271 ± 0.873 nm, n = 213 from n = 3 patient; rat: 4.122 ± 0.779 nm n = 151 from n = 3 rat, Mann-Whitney test: P = 0.212, Fig. 4E). Based on these experiments is seems that not the specific membrane capacitance is the key determinant of the higher signal propagation speed in human cells.

Comparative analysis of membrane capacitance and thickness in rat and human cortex

A Representative capacitive transient of a nucleated patch pulled from layer 2/3 neocortical pyramidal cell (black). A single exponential function was fitted on the measured signal (red) for the calculation of the time constant of the membrane. Scale bar: 100 pA, 20 µs. B Differential interference contrast microscope image of a neuronal nucleus. The shortest (a) and longest (b) diameter values were used to calculate the membrane surface. Scalebar 5 µm. C Specific membrane capacitance of rat (red) and human (blue) neocortical pyramidal cells. D Electron micrographs of dendritic membranes used for membrane thickness measurements. Yellow lines indicate measuring profiles. Scalebar 40 nm. Boxed region magnified on the right. The two red dots on the green line show the edges of the membrane (see methods). Inset scalebar 10 nm. E Membrane thickness of rat (red, n = 151 from n = 3 rat) and human (blue, n = 213 from n = 3 patient) neocortical cell dendrites (Mann-Whitney test: P = 0.212).

Effect of dendritic thickness

Our simultaneous soma-dendritic and soma-axonal recordings suggest that dendritic properties have significant contribution to interspecies differences in signal propagation velocity. Anatomical features of neuronal processes have a major influence on signal propagation properties 5,19, thus, in addition to the soma-dendritic path measurements shown above, we also measured the thickness of dendrites at every 0.5 µm along the path linking the somatic and dendritic electrodes on two-photon image stacks captured during electrophysiological measurements (Fig. 5A-C). We found that the mean diameter of dendrites was thicker in human (n = 62, 2.272 ± 0.584 µm) compared to the rat (n = 46, 2.032 ± 0.413 µm, two sample t test: P = 0.019, Fig. 5D). Moreover, in samples where we acquired both dendrite thickness and bAP signal propagation velocity, we found that the mean dendritic diameter between the recording sites was correlated with the speed of backpropagating APs (Fig. 5E).

Dendritic thickness reconstructions and comparison of layer 2/3 pyramidal cells in the human and rat cortex.

A Left, Maximum intensity projection of Alexa594 and biocytin filled human pyramidal cell imaged in two-photon microscope. Right, model of 3D reconstructed apical dendrite. Middle, overlay of the two-photon image and the model. B Apical dendrite thickness measurements on the sample shown in A. Left, The center of the dendrite is tracked by a thick green line while the perpendicular thin lines show measured profiles. Right, Stacked thickness measurements with micrometer scale. C Same as in B with a rat sample. Scalebars 20 µm. D Comparison of rat and human apical dendrite averaged thickness. The mean dendritic diameter of human dendrites was significantly thicker than rat ones (two sample t test: P = 0.019). Darker dots indicate data measured on image stacks shown in panel B and C. E bAP propagation speed correlates significantly with dendrite thickness. Pearson correlation coefficient (r) values for fitted lines are shown on the upper left corner of the plot. The shaded area around the regression line shows the 0-100 % confidence interval for the bootstraped data. *** P < 0.001.

Modeling EPSP propagation in dendrites

Detailed compartmental models were utilized to disassemble the effect of various morphological and cable parameters on the latency and velocity of synaptic potential in human and rat L2/3 dendrites. Based on the 3D morphological reconstructions of five human and four rat PCs, we first asked, how morphological differences per se affect signal propagation, assuming that the cable parameters are identical in all cells (Cm = 1 µF/cm2, Rm = 15,000 Ωcm2, Ra = 150 Ωcm, Fig. 6). Figure 6A,B shows EPSPs latency (and velocity) as a function of the distance from its dendritic initiated site and the soma. Latency was calculated as the time difference between local dendritic EPSP peak-time and the resulting EPSP peak-time at the soma. For the cable parameters used, the latency ranges between 0.1 - 13 ms for the rats (red circles) and between 0.01 – 25 ms in humans (blue). The respective velocity, calculated by dividing the distance of the dendritic site of EPSP origin from soma by its latency, ranged between 0.01 - 0.48 m/s for rat and 0.02 - 0.09 for human. Obviously, these differences are expected due to the difference in the total dendritic length between the two species, which are about 2-folds longer in humans. However, when focusing on the (identical) range of distances in which the experiments were performed (rectangle at lower left) we found that, for an identical physical distance from the soma, EPSPs the latency is still shorter and the velocity is larger in human compared to rat (Fig. 6B,C).

Modeling explains the enhanced EPSPs velocity in L2/3 human apical dendrites.

A Latency and B, velocity of EPSP in models of 5 human (blue) and 4 rat (red) reconstructed L2/3 PCs. Insets show the respective averages for the zoom-in region (box), which brackets the experimental range of dendritic recordings. Note the smaller latency and larger velocity in human PCs. C. Dendritic radius as a function of distance from the soma. Note the larger radius of human dendrites in the outlined region. D,E As A and B, but now distance is normalized in cable units (thus incorporating the diameters differences between cells) and time is normalized in units of membrane time constant. F Sum of radii of basal dendrites as a function of distance from the soma (blue – human, red – rat), in 20µm bins. Dashed lines are the respective averages. G-H As D and E but for ‘hybrid cells’, computed for the 5 human neurons all having the basal tree of ‘Rat4’ (blue) and for the 4 rat cells, all with the basal tree of ‘Rat4’ (red). Note that the differences in latency and velocity between human and rat were diminished (insets). I Example of a color-coded “latency-gram”, visualizing the effect of replacing the basal tree of “Human1” cell with that of “Rat4” (left) and the basal tree of “Rat4” with that of “Human1” (right). The difference in latency was calculated by subtracting the respective values of the original cells from those calculated in the “hybrid cells”. Inset shows examples of soma EPSP’s in the two respective cases. The original EPSP (black) and the respective hybrid case (in blue – deceleration and in red – acceleration) for synaptic input at 288 μm from soma. Specific cable properties in all cells were: Cm = 1 µF/cm2, Rm = 15,000 Ωcm2, Ra = 150 Ωcm.

To further validate these results, we computed the mean latency as a function of distance from the soma, averaged over the latency across different branches at a given distance from the soma (lower right inset). Indeed, the latency is larger in rat versus human. For example, at a distance of 288 µm from the soma, the average latency in rat neurons was about 6.2 ms and only 4.1 ms in humans. When comparing the EPSPs velocity, it ranges between 0.04 - 0.24 m/s in human versus 0.026 - 0.085 m/s in rat (Fig. 6B), with higher velocity in human compared to rats for every respective distance point (Fig. 6B, inset).

A possible reason for the smaller latency and larger velocity of EPSPs in human apical dendrites is that they are thicker than in rats (Figs. 5D and Fig. 6C. see also refs. 27,28). Theory shows that, for an infinitely long cylindrical cable, the velocity of passive signals is fast near their site of origin, converging to a value of 2λ/τ away from the initiation point 27,28. This means that the velocity (in units of λ and τ) of passive signals is identical for different cells’ diameters, if one normalizes the physical distance, x, by λ (which is − √𝑑, where d is the cable diameter) (see Fig. S4). Hence, in experimentally reconstructed cell morphologies, assuming that the thicker diameter in human neurons is the main contributor to their respective enhanced velocity, we expect that the latency and velocity will fall on similar curves for all cells after normalizing the distance in λ units and time in τ units (see Fig. S4).

In Figure 6E,F we normalized the distance in λ units and the time in τ units. With these normalizations, both latency (Fig. 6D) and velocity (Fig. 6E) are highly similar within species (see insets and Discussion). Yet, albeit this normalization, the velocity is still larger and the latency is still shorter in human (compare Fig. 6D,E to Fig. 6A,B, respectively). One possibility is that this extra-effect is due to differences in the dendritic load (the boundary condition at the soma) imposed on EPSPs propagating from the apical tree towards the soma 28. Indeed, the basal tree in human L2/3 PCs is significantly larger than that of rat and, consequently, a larger conductance load (larger “sink”) is expected in human L2/3 neurons (Fig. 6F and Fig. 8A). To our delight, we found that the remaining inter-species differences in latency and velocity diminished when, on top of the above normalization with respect to λ, we computationally substituted the basal tree of human neurons with that of the basal tree of rat and vice versa (“hybrid cells”). An example for such “hybrid cells” is depicted in Fig. 6G,H. In these cases, the basal trees of the 5 modeled human neurons were all replaced with the basal tree of “Rat4” neuron (blue dots) and the basal tree of “Rat1”, “Rat2” and “Rat3” neurons was replaced with the basal tree of “Rat4” neuron (red dots). Figure 6I depicts the case where the basal tree of “Human1” cell was replaced with that of “Rat4” (left) and vice versa (right). The resultant deceleration (left) and acceleration (right) of the EPSPs due to replacing the basal trees between human and rat is depicted by the color coded “latency-gram”; an exemplar EPSPs for a synaptic input site at 288 µm from the soma (in both cases) are shown in the inset. The explanation for this surprising result is elaborated in the Discussion.

Modeling EPSPs latency and velocity in dendrites of human and rat L2/3 pyramidal cells based on experimentally-fitted cable parameters.

A Exemplar modeled (“Human5”) L2/3 PC, also showing the locations of the two recording/stimulating electrodes. B Top (D→S): step hyperpolarizing current (-100 pA) injected to the dendrite of the modeled cell (cyan). Lower trace: Model fit (dark purple line) to the voltage response at the soma (noisy light purple line). The resultant fit to the local dendritic voltage response is also shown (in cyan). Bottom (S→D): as is the case at top, but with current step injected to the soma (purple step current). This fitting procedure resulted with the following passive parameters: Cm = 0.63 µF/cm2, Rm = 15,570 Ωcm2, Ra = 109 Ωcm. C Latency and D Velocity of EPSPs for the 9 model cells as in Figure 6A,B, but now with specific cable parameters fitted to the individual modeled neurons (see Table 1). E-F As in C and D, with distance normalized in cable units and time normalized by the membrane time constant (see Table 2). Note the smaller latency and larger velocity for the human PCs, which is now more significant as compared to the case where the cable parameters were uniform for all modeled cells (compare to Figure 6D and E).

Impact of conductance load of the basal tree on EPSPs velocity and latency.

A Equivalent cable for the apical tree (in blue) and the basal tree (in red) for the 9 modeled L2.3 cells in this study. Note the relatively large conductance load (sink) imposed by the large basal tree in human cells. B EPSP velocity and C latency as a function of the distance of the (apical) synapse from the soma. The synapse was located along the “apical” cable (blue cylinder, inset). The respective 5 cases are shown in the inset. Velocity and latency were computed as in Figs. 6 and 7. Note the enhanced velocity and reduced latency for larger basal dendrites. Cable parameters were: Cm = 1 µF/cm2, Rm = 15,000 Ωcm2, Ra = 150 Ωcm. The apical cylinder is of infinite length with diameter of 3μm; the basal tree (color cables) have linearly increasing diameter (d) and length (L), approximating the increment from rat to human basal trees (Fig 6F): red (l =800μm, d = 20μm), yellow (l = 700μm, d = 18μm); green (l = 600μm, d = 16μm); light blue (l = 500μm, d = 14μm); dark blue (l = 400μm, d = 12μm). Soma diameter was set to 20μm.

Each of the three key passive parameters: the specific membrane resistivity and capacitance (Rm, Cm) and the specific axial resistivity, Ra, can either exaggerate or reduce the morphological effects on signal propagation properties in dendrites. Thus, we further asked how the actual specific parameters of the various PCs studied affect signal propagation in their respective dendrites. Toward this end, we fitted cable parameters individually to each of the 9 PCs modeled. Figure 7A shows an exemplar human L2/3 PC reconstruction with the locations of the two recordings/stimulation electrodes used in the experiments for this cell. Figure 7B top shows the case where the injected current was at the dendrite (cyan); the resultant voltage is depicted below in cyan, the model fit is superimposed dark blue (D-to-S direction). The opposite (S-to-D) direction is depicted by the next three traces below. This fit enables a direct estimate of the cable parameters per cell. The results are summarized in Table 1.

Passive cable parameters fitted to experimental data.

Cm and Rm are the specific membrane capacitance and resistivity, respectively; Ra is the specific axial resistance.

Model prediction of the maximal EPSPs latency within experimental recording distance range per modeled cell.

Cable parameters were fitted per cell as in Table 1. 𝑙𝑚𝑎𝑥 is the maximal physical distance from which the respective experiments (per cell) where performed (zoom-in region in Fig. 8C,D). 𝑑𝑚𝑎𝑥 is the (average) diameter at 𝑙𝑚𝑎𝑥. 𝐿𝑚𝑎𝑥 is the respective distances in cable units ; τ is the membrane time constant (Cm*Rm). Latency is the maximal latency measured at the maximal distance. All maximal values are averaged across branches at 𝑙𝑚𝑎𝑥, within 10𝜇m window bin.

Figure 7C-F extends the simulations shown in Figure 6A,B,D,E, but with the fitted (rather than uniform) cable parameters per cell. Compared with the uniform case, the latency and propagation velocity differences between and within the two species are enhanced (compare Fig. 7C,D to Fig. 6A,B). For the per cell fit, the latency ranges between 0.1 - 11 ms for rats (red) and 0.1 – 28 ms in humans (Fig 7C) and the velocity ranges between 0.02 - 0.085 m/s for rat (red) and 0.02 – 0.75 m/s in human (Fig 7D). In Figures 7E and 7F, the distance was normalized by the space and time constants calculated per cell. After normalization, both latency (Fig. 7E) and velocity (Fig. 7F) are much more similar within-species; however differences among individual cells are larger compared with Figure 6D,E where uniform cable parameters were assumed. Similar to the uniform-cable parameters results, these inter-species differences were diminished using “hybrid cells” (See Fig.S8).

Zooming in to the experimental regime of dendritic measurements (inset) shows the smaller latency and faster velocity in human versus rat (Fig. 7C,D, respectively). Quantifying the differences between human and rat PCs within this regime (Table 2), latency of EPSPs in human PCs is 1.6 times smaller on average compared to rats (3.76 ms in humans versus 6.14 ms in rats, Table 2). Whereas the average time constants of the two species are similar (11.84 ms in humans versus 10.75 ms in rats, Table 2); the average cable distance from the soma at the experimentally-recorded location in the apical dendrite is 1.2 smaller in human PCs compared to that of rat (0.75λ in human and 0.89 λ in rats, Table 2), mostly due to the larger dendritic diameter in humans (0.9 µm in humans versus 0.64 µm in rats at a distance of ∼288 µm from the soma, Table 2), but it is further emphasized due to differences in specific cable parameters between humans and rats neurons (See Suppl Table 2, as compared to the case with uniform cable parameters). Indeed, in our set of extracted cable parameters, Rm is, on average, 1.5 larger in humans (17,120 versus 11,609 Ωcm2) whereas Ra is 1.3 time larger in human (247 Ωcm versus 197 Ωcm) and Cm is 1.6 times smaller in humans (0.7 versus 1.1 µF/cm2; see Table 1). The effect of these differences on signal propagation in human versus rat dendrites will be elaborated in the Discussion.

Using a similar quantification, we showed that the majority of the inter-species differences arise from the conductance load differences (for uniform cable parameters). When the basal trees of the 5 human L2/3 cells was replaced by the basal tree of that of “Rat4” cell the average latency of EPSPs in human PCs increased by a factor of 1.4 (from 4.1 ms to 5.6 ms). The same manipulation for the 3 rat L2/3 cells preserved the latency on average (from 6.2 ms to 6.1ms) (See Suppl Table 2 versus Suppl Table 3). Repeating this procedure for all PC with all basal trees of the other species showed that, on average, the latency of EPSPs in rat cells with human basal tree decreased by ∼2 ms and in the reverse case the latency of EPSPs were increased by about ∼2 ms, while mostly not affecting this measurement within the same specie (Fig S7).

We summarize this section by noting that our theoretical effort enabled the dissection of morphological and electrical parameters that affect differences in EPSPs velocity and latency between humans versus rats L2/3 PCs’ dendrites. By first assuming uniform cable properties for all cells’ modeled (Fig. 6) we found that 4 mechanisms are responsible for the faster velocity and shorter latency in human PCs. (i) Due to the larger diameter of the apical stem dendrite in human, human synapses are electrotonically closer to the soma (and therefore have shorter distance to travel to it); (ii) Because EPSPs velocity is high near their site of origin (decreasing to 2λ/τ with distance from this site the electrotonically closer synapses (at a fixed physical distance) in humans results in a higher initial velocity (shorter latency) for synapses located at the same physical distance to the soma. (iii). The conductance load imposed by the extended basal tree in human PCs enhances the EPSP velocity and reduces their latency to soma (Fig. 6G-I, Fig. 8). (iv). The specific passive cable properties of human neurons favor rapid communication between apical and soma as compared to the cable properties in rat (Fig. 7 and see Discussion).

Discussion

Emergence of data concerning conserved and divergent features of different mammalian species in the structure and function of the cerebral cortex suggest fundamental similarity across species 2931 with a subset of specialized features documented in the human cortex. A number of these specialized properties, like the increase in the size of individual neurons detected early by Ramón y Cajal 32, have far reaching functional consequences and here we identified some compensatory mechanisms which, in turn, are based on additional specialized features. In particular, we studied propagation velocity of both forward (axonal) and backward (dendritic) action potential, as well as of EPSPs in human and rat dendrites. Our experimentally-based models showed that the average membrane time constant of the two species is similar (∼11 ms). Yet, EPSPs arising in the apical dendrite at similar distances from the soma have significantly shorter latency in humans. This results primarily from the larger diameter of the apical trunk in humans, but also from the difference in cable properties between the two species.

Detailed compartmental models of 3D reconstructed and biophysically measured L2/3 PCs of human and rat L2/3 PCs enabled us to systematically explore factors affecting EPSPs propagation velocity and latency in apical dendrites of these two species. Since the diameter of the apical dendrite is larger in human, and assuming that all specific cable parameters were identical, a synapse located in the apical tree at a given physical distance from the soma is electrotonically closer (in units λ) to the soma in human cells. Consequently, the EPSP latency is expected to be shorter in human apical dendrites. This shorter cable distance of the human synapse (at a given physical distance) has an additional consequence. The velocity of the EPSP peak in dendritic cables is not constant; it is faster near the synapse, converging to a constant value of 2λ/τ with distant from the synapse (see Fig. S4 and 28). Therefore, EPSPs originated at electrotonically closer synapses fall on the faster phase of their velocity curve, implying a shorter latency to the soma. A third and significant factor affecting the propagation velocity of EPSPs towards the soma is the degree of conductance load (the boundary condition) at the soma. We found that the significantly larger basal tree in human L2/3 cells implies a larger conductance load and, as shown in Figures 6 and 8, this enhances EPSP propagation velocity and reduces synaptic latency to the soma (see also 28). It is important to note that this increased conductance load (increased sink) in human L2/3 neurons (and probably also in other cortical neurons and other neuron types which are larger in human compared to rat) will enhance EPSPs originated in the basal (rather than the apical) dendrites. Finally, differences in respective specific cable parameters between human and rat also support the faster EPSPs propagation in human. We found that the membrane time constant, τ, is ∼1.1 larger in human (Table 1 and that the average axial resistivity, Ra, is 1.3 time smaller and Rm is 1.6 larger in humans. Thus, is 1.44 larger in human L2/3 PCs. Taken together, and under the infinite cable assumption, differences in specific cable parameters per se result in enhancing EPSP propagation speed in human dendrites by a factor of 1.44/1.1 = 1.31. This contribution of specific cable parameters to increase in signal velocity in human neurons can be appreciated by contrasting the case with uniform to the case with specific cable parameters (Figs. 6 and 7 and Table 2 and Suppl Table 2). Additional factors, such impedance mismatch due to local morphological irregularities at branch points and due to dendritic spines might play an additional role in affecting signal propagation speed 33 (Figure S5). These possibilities will be explored in a future study.

Noteworthy here is that we found that the membrane time constant, τ, is similar in L2/3 PCs of rodents and human implying the preservation of coincidence detection capabilities of dendrites in both species. This is important because coincidence detection in dendrites is a fundamental mechanism for a variety of plasticity mechanisms and computational functions such as directional selectivity, sound localization and expansion of the dynamic range of sensory processing 3437 and see review in 38.

Multifaceted upscaling of properties found in the human microcircuit is usually considered instrumental in functional enrichment. For example, increase in the number of human supragranular pyramidal cell types compared to the mouse 4,5,16 might help in separating multiple tasks of parallel processing in cortical circuits in and the increased range of synaptic strength in pyramidal output contributes to increased saliency of individual excitatory cells followed by efficient network pattern generation in human 6,11,14. However, increase in the size and in morphological complexity of individual neurons might not follow a simple bigger is better logic, but instead it is rather a double-edged sword when considering cellular and microcircuit level function 16,19,3942. On one hand, additional dendritic length can receive a higher number and a more diverse set of inputs contributing to circuit complexity 18 and sophistication of dendritic architecture has been reviewed as the site for elaborate subcellular processing 5,8,9,16,31. On the other hand, signals need to propagate along a longer route through dendritic or axonal trees of increased size. Without compensatory mechanisms, textbook knowledge dictates that longer propagation times and altered waveforms of signals associate with elongated neural processes 20,21,27,28. Our observation that soma-to-soma pyramidal cell synaptic latencies are similar in human and rodent strongly suggest that compensatory mechanisms evolved together with alterations in dendritic structure such as increased thickness of dendritic segments in the human compared to segments equidistant from the soma in the rat. This finding is backed up by earlier experiments showing similar soma-to-soma latencies between presynaptic pyramidal cells and postsynaptic fast spiking interneurons in human and rat 6 and between human and mouse pre-and postsynaptic cells overall in the neocortex 43. Thus, it appears that signals connecting pyramid-to-pyramid and pyramid-to-interneuron cell pairs have an evolutionally conserved latency and compensation provided by dendritic structure seems precise. Importantly, based on the datasets available, there is no indication of significant over/under-compensation and acceleration/deceleration of soma-to-soma propagation times.

Precision in monosynaptic latencies across species is instrumental in keeping the timeframe relatively stable for circuit plasticity. Research in animal models laid experimental and theoretical foundations and uncovered bewildering multiplicity of mechanisms explaining the induction and maintenance of plasticity in cortical microcircuits 4450. In contrast, plasticity is understudied in human samples both at the cellular and microcircuit level 51,52. Spike time dependent plasticity (STDP) is based on the relative timing of pre-and postsynaptic activity 5355 and the paramount feature of STDP experiments to date is that minute jitter between pre- and postsynaptic activity results in major changes in synapse strength 11,56. Pioneering STDP studies in human neurons showed a wide temporal STDP window with a reversed STDP curve compared to classic results detected in rodent brain 11,56. Interestingly, dendritic L-type voltage-gated calcium channels were found important in human STDP rules 11, yet our results indicate that dendritic bAP speed is equally influenced by calcium channels in human and rat. However, the faster bAP propagation found here in human PCs is compatible with the shifted STDP rule switch 11 by allowing postsynaptic somatic action potentials to be generated later yet arriving to dendrites at the same time relative to presynaptic spikes. It remains to be established how altered cable properties reported here interact through a dynamic interplay between potentially human specific dendritic ion channel distribution and local dendritic regenerative processes in order to achieve the reversed STDP curve in human 7-10,39,40.

In addition to associative plasticity, precision of synaptic delays is crucial in the generation of circuit oscillations and network synchronization. Although all known patterns of local field potentials and behavioral correlates present in the human cortex can be detected in other mammals 20, fast oscillations are thought to be especially important in cognitive performance 5759. Fast population rhythms in the cerebral cortex in the gamma and high gamma range are based on alternating activation of monosynaptically coupled and reciprocally connected pyramidal cells and interneurons 60,61 and similar mechanisms were proposed for some forms of ripple oscillations 12,13,61. The relatively small axonal distances and accordingly short axonal AP propagation latencies linking locally connected human PCs and or interneurons found here and earlier 6,1113,15,43 are compatible with the frequency range of fast oscillations. Brief loop times during sequential reactivation of a subset of closely located neurons participating in fast human rhythms are helped by subcellular placement of PC-to-PC (and PC-to-fast spiking interneuron 6,12) synapses on midrange dendritic segments instead of distal branches and by extremely effective glutamatergic synapses on interneurons triggering postsynaptic spikes in response to unitary input from a PC 6,12 in addition to accelerated human dendritic signal propagation. Indeed, latencies of monosynaptic spike-to-spike coupling in single cell triggered Hebbian assemblies characteristic to the human cortical circuit are compatible with up to ∼200 Hz frequency 12,13. Phasic and sequential firing of interneurons and PCs was reported in vivo during fast oscillations in humans 62 and single cell spiking sequences emerging during human memory formation are replayed during successful memory retrieval 63 similar to results pioneered in the hippocampus of rodents 6466. Our results suggest that changes in human dendritic properties contribute to cross species preservation of fast oscillation related cortical function at the local microcircuit level.

Materials and Methods

Experimental Design

Slice preparation

Experiments were conducted according to the guidelines of University of Szeged Animal Care and Use Committee (ref. no. XX/897/2018) and of the University of Szeged Ethical Committee and Regional Human Investigation Review Board (ref. 75/2014). For all human tissue material written consent was given by the patients prior to surgery. Human neocortical slices were sectioned from material that had to be removed to gain access for the surgical treatment of deep-brain target (n = 34 female and n = 29 male, aged 49 ± 19.2 years). Anesthesia was induced with intravenous midazolam and fentanyl (0.03 mg/kg, 1–2 µg/kg, respectively). A bolus dose of propofol (1–2 mg/kg) was administered intravenously. The patients received 0.5 mg/kg rocuronium to facilitate endotracheal intubation. The trachea was intubated, and the patient was ventilated with O2/N2O mixture at a ratio of 1:2. Anesthesia was maintained with sevoflurane at care volume of 1.2–1.5. Following surgical removal, the resected tissue blocks were immediately immersed into a glass container filled with ice-cold solution in the operating theater and transported to the electrophysiology lab. For animal experiments we used the somatosensory cortex of young adults (19–46 days of age, (P) 23.9 ± 4.9) male Wistar rats. Before decapitation animals were anesthetized by inhalation of halothane. 320 µm thick coronal slices were prepared with a vibration blade microtome (Microm HM 650 V; Microm International GmbH, Walldorf, Germany). Slices were cut in ice-cold (4°C) cutting solution (in mM) 75 sucrose, 84 NaCl, 2.5 KCl, 1 NaH2PO4, 25 NaHCO3, 0.5 CaCl2, 4 MgSO4, 25 D(+)-glucose, saturated with 95% O2 and 5% CO2. The slices were incubated in 36°C for 30 min, subsequently the solution was changed to (in mM) 130 NaCl, 3.5 KCl, 1 NaH2PO4, 24 NaHCO3, 1 CaCl2, 3 MgSO4, 10 D(+)-glucose, saturated with 95% O2 and 5% CO2, and the slices were kept in it until experimental use. The solution used for recordings had the same composition except that the concentrations of CaCl2 and MgSO4 were 3 and 1.5 mM unless it is indicated otherwise. The micropipettes (3–5 MΩ) were filled (in mM) 126 K-gluconate, 4 KCl, 4 ATP-Mg, 0.3 GTP-Na2, 10 HEPES, 10 phosphocreatine, and 8 biocytin (pH 7.25; 300 mOsm).

In vitro electrophysiology

Somatic whole-cell recordings were obtained at ∼37°C from simultaneously recorded PC-PC cell pairs visualized by infrared differential interference contrast (DIC) video microscopy at depths 60– 160 µm from the surface of the slice (Zeiss Axio Examiner LSM7; Carl Zeiss AG, Oberkochen, Germany), 40× water-immersion objective (1.0 NA; Carl Zeiss AG, Oberkochen, Germany) equipped with Luigs and Neumann Junior micromanipulator system (Luigs and Neumann, Ratingen, Germany) and HEKA EPC 10 patch clamp amplifier (HEKA Elektronik GmbH, Lambrecht, Germany). Signals were digitalized at 15 kHz and analyzed with custom written scripts in Python.

Presynaptic cells were stimulated with a brief suprathreshold current paired pulse (800 pA, 2–3 ms, 50-60 ms separation of the two pulses), derived in 10s interval. The postsynaptic cells were recorded in current-clamp recording, holding current was set to keep the cell’s membrane potential around −50 mV. The experiments were stopped if the series resistance (Rs) exceeded 25 MΩ or changed more than 20%.

For the dendritic recordings 20 μM Alexa 594 was added to the internal solution of the somatic pipette and 20 μM Alexa 488 to the internal solution of the dendritic pipette. The PCs were kept in whole cell configuration at least 10 minutes before the axon bleb or dendritic targeted recording started. Then the microscope switched to 2p mode. The fluorescent dyes of the pipette solution were excited at 850 nm wavelength with a femtosecond pulsing Ti:sapphire laser (Mai Tai DeepSee, Spectra-Physics, Santa Clara, CA). The axon blebs and the dendrites were targeted in 2p mode. After the successful seal formation, the imaging was switched off to reduce the phototoxicity in the sample. All the recordings were carried out in current clamp mode. 800ms long square pulses with elevating amplitude (from -110 to 300 pA) were used to evoke APs. In some experiments the same long square injection protocol was repeated at the dendritic/axonal recording site. For measuring the forward propagation of electrical signals in dendrites, we applied either short artificial EPSC-shaped currents 67 or mostly ramp currents 68 through the dendritic pipette. 10 minutes of recording we applied different drugs or finished the recordings. At the end of the recording, we acquired a 2p Z series from the recorded dendrite. Then the pipettes were carefully withdrawn from the cells. The slices went under chemical fixation for further anatomical investigation. Due to the small diameter of the dendrites of L2/3 neurons, the dendritic pipette access resistance was 92.43 ± 34.29 MΩ with 24.8-196.2 MΩ range 9. We ran a set of computer simulations on our reconstructed neurons (both of human and rat), adding a simulated electrode with variable serial resistance values. We found that, for series resistances ranging from 40-200 MΩ, the effect of the presence of the electrode on the EPSP latencies is negligible (Suppl Fig. 12.)

The specific membrane capacitance recordings were carried out as described previously 69. Briefly, the L2/3 PCs were whole cell patch clamped, and a gentle suction made during slow withdrawal of the pipette. The nucleus of the cells were pulled out and the voltage clamped at -70 mV. -5mV voltage steps (repeated 100 times) were applied and the capacitive transients were measured. A DIC image of the nucleus were made for calculation of the membrane surface with the following equation:

Where a is the shorter diameter of the ellipse and b is the longer one. After the recording the nucleus was blown away and the pipette tip was pushed into a sylgard ball until the GOhm seal formed. The -5 mV voltage steps were applied again to record the residual capacitance of the system. Before the analysis we subtracted the residual capacitance from the transients.

Pharmacological experiments were carried out on PCs during simultaneous somatic and dendritic recordings after 10 minutes of control recording using ACSF with the following drugs: 20 µM 4- (N-ethyl-N-phenylamino)-1,2 dimethyl-6-(methylamino)pyrimidinium chloride (ZD7288) (Sigma-Aldrich), or 1 µM TTX, 200 µM CdCl2, and 20 µM AP5.

Post hoc anatomical analysis of recorded cell pairs

After electrophysiological recordings, slices were fixed in a fixative containing 4% paraformaldehyde, 15% picric acid, and 1.25% glutaraldehyde in 0.1 M phosphate buffer (PB; pH = 7.4) at 4°C for at least 12 hr. After several washes in 0.1 M PB, slices were cryoprotected in 10% then 20% sucrose solution in 0.1 M PB. Slices were frozen in liquid nitrogen then thawed in PB, embedded in 10% gelatin, and further sectioned into slices of 60 µm in thickness. Sections were incubated in a solution of conjugated avidin-biotin horseradish peroxidase (ABC; 1:100; Vector Labs) in Tris-buffered saline (TBS, pH = 7.4) at 4°C overnight. The enzyme reaction was revealed by 3’3-diaminobenzidine tetrahydrochloride (0.05%) as chromogen and 0.01% H2O2 as an oxidant. Sections were post-fixed with 1% OsO4 in 0.1 M PB. After several washes in distilled water, sections were stained in 1% uranyl acetate, dehydrated in an ascending series of ethanol. Sections were infiltrated with epoxy resin (Durcupan, Sigma-Aldrich) overnight and embedded on glass slices. 3D light microscopic reconstructions were carried out using the Neurolucida system with a 100× objective. The number of putative synaptic contacts were determined by searching for close appositions of presynaptic axon terminals and postsynaptic dendrites under light microscopy. The distance of the contact sites alongside the branches were measured with Neurolucida. The intersomatic distance was calculated from the branch length from the presynaptic soma to the putative synaptic contact alongside the axon, and the length of the dendrite from the contact site to the postsynaptic soma. If there were more than one putative synapse between the cells, we took the shortest intersomatic path distance for that given cell pair.

Electron microscopy

Sample preparations for the electron microscopy were performed as described previously 2,6. Briefly, digital images of serial EM sections (20 nm thickness) were taken at 64000x magnification with a FEI/Philips CM10 electron microscope equipped with a MegaView G2 camera. The membrane thickness measurements were carried out on digital images with a custom software. Briefly, postsynaptic dendritic structures were identified with the presence of postsynaptic densities (PSD) faced in front of axon terminals filled with vesicles. At least 20 nm away from the PSD, perpendicular lines were used as region interests (ROI). The intensity line profile of each ROI was calculated, and edge detection was carried out on them. The thickness was determined as the distance between the first and last point along the line profile where the gradient magnitude was larger than 50.

Data analysis

The electrophysiological recordings were analysed by custom written python scripts. First the recorded sweeps were exported with HEKA FitMaster to ascii files. The mean synaptic delay in the paired recordings was determined by the averages of the delays between the peak of single presynaptic action potentials and the onsets of the corresponding EPSPs. The onset was determined by the projection of the intersection of two linear fits on the postsynaptic signal 70. The first line was fitted to the baseline 1 ms window from -0.5 to +0.5 ms of the presynaptic AP peak. The second line was fitted on the rising phase of the EPSP (5-30% of the amplitude). The time point of the crossing lines was projected back to the signal and it was used as the onset (Fig. 1B). For the forward propagation dendritic experiments the latency was calculated on an average signal. The onset of the EPSP-like waveform was determined as the onset of EPSPs in the paired recordings.

The bAP latency was measured at the peak of the average signal for each cell 24. Only the first APs of the sweeps were averaged to avoid activity dependent Na+ channel inactivation that can cause a putative modulatory effect on the signal propagation speed. For the axon bleb recordings we assumed that the axon initial segment (AIS) of the cells are 35 µm from the axon hillock 71, and the APs propagate to forward (to the bleb) and backward (to the soma) at the same speed. For the correction of the AIS we used the following formula:

where vcorr is the corrected propagation speed for AIS position, l is the axonal distance between the soma and the axon bleb, t is the latency between the two measuring point, ais is the assumed position of the AIS alongside the axon (35 µm).

Estimating passive parameters of L2/3 pyramidal cells

We constructed detailed passive compartmental and cable models for five L2/3 human neurons and the four rat L2/3 neurons that were both 3D morphologically reconstructed and biophysically characterized. For each modeled neuron, we optimized the values of three key passive parameters: the specific membrane resistivity and capacitance (Rm, Cm) and the specific axial resistivity, Ra, using Neuron 8.0 72 principal axis optimization algorithm 73,74. Optimization was achieved by minimizing the difference between experimental voltage response following hyperpolarizing current steps either to the soma or to the apical dendrite (Fig 7A,B) and the model response. When possible, experimental data was averaged over repetitions of the same stimulus.

To account for the surface area of spines, we used the spine correction factor (F) of 1.9 and 1.5 for human and rat PCs, respectively, by multiplying Cm and dividing Rm by F in segments which are at a distance of at least 60 μm from the soma 25,75. In this study we did not attempt to fit the nonlinear effect of Ih of the voltage response of the cells.

As our experimental data contains simultaneous soma-dendritic pair recordings/stimulation, we decided to fit the voltage response in one location (e.g., the soma) for the current injection in the other location (e.g., dendrites). This is a cleaner way compared to the typical case when only one recording/stimulating electrode is available, as the problem of bridge balance at the current input site does not exist in this case. As we have two recording and simulation sites, we also examined how well the model predicts the local voltage response at the injection site (Fig 7B). Analysis and simulation were conducted using Python 3.8 and visualization using matplotlib 3.15 76 and seaborn 0.11 77.

Modeling EPSP propagation delay and velocity

We used the NEURON simulator 72 to model the nine 3D reconstructed neurons (Fig. S6). To compute EPSP’s propagation latency and velocity, we simulated EPSPs by injecting a brief transient alpha-shaped current, 𝐼𝛼, delivered either to the soma or in various dendritic loci along the modeled apical tree.

where 𝐴 = 1.5, 𝜏0 = 0.25 and 𝜏1 = 1𝑚𝑠, resulting in EPSP peak time, 𝑡𝑝𝑒𝑎𝑘 = 0.5𝑚𝑠 and peak current of 𝐼𝑝𝑒𝑎𝑘 = 1.4𝑛𝐴.

Latency of the resultant EPSP was calculated as the difference between the EPSP peak at all dendritic branches and its resulting EPSP at the soma; using a sampling time bin of 0.01ms. Velocity was calculated as the distance of the input site from soma divided by latency between these two points. Each dot in Figures 6 and 7 is the respective value for a specific dendritic segment in a specific branch of a neuron’s apical tree. For each measured feature (radius, and velocity), an inset (zoom-in) matching the experimental distance range was added. It shows the average value across dendritic branches with a given distance from the soma, as a function of distance from soma, smoothed with a rolling 10 μm window. For normalizing the path distance of a given dendritic site to the soma in cable units, we calculated the space constant

for each dendritic segment (where d is the segment’s diameter). We then summed up the cable lengths of all segments along the path from the dendritic location to the soma. Time was normalized by the membrane time constant τ = Rm*Cm. Note that, for segments far enough from cable boundary conditions and stimulus location, velocity approximately equals the theoretical value of 2λ/τ, 28 see Fig. S5). Hence, in the uniform case where all specific parameters are equal for all cell modeled (Fig 6), normalizing the distance in cable should equalize latency/velocity differences resulting from diameter differences.

To account for brain tissue shrinkage due to fixation, for every segment, diameter and length were scaled based on an estimation of specific neuron shrinkage (see Suppl. Table 1). To account for unequal dye spread, for a few manually picked segments, diameter value was fixed to be equal to its nearby segment (to avoid sudden diameter jump).

Equivalent cables for human and rat L2/3 PCs

“Equivalent cables” for the respective 9 modelled human and rat cells was based on Rall’s cable theory 78. The variable diameter, 𝑑𝑒𝑞(𝑋), of this cable as seen from the soma is,

where X is the cable (electrotonic) distance from the soma and 𝑑𝑗(𝑋) is the diameter of the jth dendrite at the distance X from that point of interest. Figure 8A shows such equivalent cables as seen from the soma. The equivalent cable for the basal tree is depicted in red and for the apical tree in blue. This enables one to graphically appreciate the large difference in the conductance load (current sink) imposed by basal tree between human and rat L2/3.

Statistical Analysis

Statistical analyses were performed in Python v.3.6, using the Python packages DABEST 79, scipy, numpy, matplotlib 76, seaborn 77, pandas, pinguin 80 and scikit-learn. Data presented as the mean ± s.d. Normality was tested with the Shapiro-Wilk test. For statistical analysis, t-test, Mann-Whitney U -test or Wilcoxon signed-rank test was used. Correlations were tested using Pearson’s correlation, respectively. We used the Gardner-Altman estimation plot throughout this study which is a bootstrap-coupled estimation of effect sizes, plotting the data against a mean (paired mean, as indicated) difference between the left-most condition and one or more conditions on the right (right y axis), and compared this difference against zero using 5,000 bootstrapped resamples. In these estimation graphics, each black dot indicates a mean difference and the associated black ticks depict error bars representing 95% confidence intervals; the shaded area represents the bootstrapped sampling-error distribution 79. Differences were accepted as significant if p < 0.05. The complete results of all the statistical analysis presented on the main and supplementary figures can be found as a supplementary table.

Acknowledgements

The authors thank Éva Tóth, Katalin Kocsis, Leona Mezei and Bettina Lehóczki for assistance in anatomical experiments, Judith Baka for providing the electron micrographs for membrane thickness measurements, Gergely Komlósi, Martin Tóth, Miklós Füle, Szabina Furdan, Szabolcs Oláh, Zoltán Péterfi for recording some neuron and Attila Ozsvár, Márton Rózsa, Martin Tóth, Ildikó Szöts, Norbert Mihut, Róbert Averkin, Sándor Bordé, Viktor Szegedi for useful feedback and suggestions. The technical help and methodical suggestions of János Szabadics, János Brunner and Viktor Oláh at the beginning of the project are appreciated. This work is dedicated to the memory of Mrs. Lily Safra, a great supporter of brain research.

Funding

This work was supported by Eötvös Loránd Research Network grants ELKH-SZTE Agykérgi Neuronhálózatok Kutatócsoport and KÖ-36/2021 (G.T.)

Ministry of Human Capacities Hungary (20391-3/2018/FEKUSTRAT and NKP 16-3-VIII-3) (G.T.);

National Research, Development and Innovation Office grants GINOP 2.3.2-15-2016-00018, Élvonal KKP 133807, ÚNKP-20-5 - SZTE-681, 2019-2.1.7-ERA-NET-2022-00038, TKP2021-EGA-09, TKP-2021-EGA-28 (G.T.) and OTKA K128863 (G.T., G.M.)

ÚNKP-21-5-SZTE-580 New National Excellence Program of the Ministry for Innovation and Technology from the source of the National Research, Development and Innovation Fund (G.M.)

ÚNKP 16-3-VIII-3 new national excellence program of the Ministry of Human Capacities (G.O.)

János Bolyai Research Scholarship of the Hungarian Academy of Sciences (G.M.)

Hungarian Scientific Research Foundation under grant ANN-135291 (A.Sz.)

National Institutes of Health awards U01MH114812 (G.T., I.S.) and UM1MH130981 (G.T.)

The Patrick and Lina Drahi Foundation, grant from the ETH domain for the Blue Brain Project, the Gatsby Charitable Foundation (I.S.).

Author contributions

Conceptualization: GT, IS, GM, GO

Methodology: GO, GM, RL, AS, PB, EC, SS, YL, IS, GT

Investigation: GO, GM, RL, AS, PB, EC, SS, YL

Visualization: GO, GM, SS

Supervision: GM, IS, GT

Writing—original draft: GO, SS, GM, IS, GT

Writing—review & editing: GO, SS, GM, IS, GT

Competing interests

Authors declare that they have no competing interests.

Data and materials availability

All data, code, and materials used in the analyses is available upon request following publication.

Supplementary Materials

Size comparison of layer 2/3 pyramidal cells in the human and rat cortex.

A Sample reconstructions of fully recovered rat and human cortical pyramidal cells. Left horizontal line indicates the location of pia mater. B Comparison of dendritic length, number of nodes, maximum vertical and horizontal extension, and the number of primary dendrites respectively of all reconstructed dendritic arborization. C Comparison of length, number of nodes, maximum vertical and horizontal extension and the number of maximum branch order respectively of the apical dendrites. Boxes represent median and IQR, whiskers represent outlier range (±1.5 IQR); mean is indicated by open square, crosses denote minimum and maximum values. ** denotes significant difference P < 0.01.

Properties of dendro-somatic recording and measured membrane parameters.

A Resting membrane potential of the recorded cells (rat: -70.49 ± 5.78 mV, human: -64.30 ± 7.28 mV, Mann-Whitney U test: P = 7.37× 10-6) were different in human and in rat pyramidal cells. Input resistance of recorded cells (rat: 59.56 ± 21.86 MΩ, human: 71.37 ± 65.48 MΩ, Mann-Whitney U test: P = 0.3466). B Resting membrane potential of recorded cells after ZD7288 application (red, rat control: -70.98 ± 5.04 mV vs rat ZD7288: -72.88 ± 9.75 mV, Wilcoxon signed ranks test: P = 0.40694; blue, human control: -70.43 ± 6.28 mV vs human ZD7288: -75.47 ± 6.991 mV, paired sample t test: P = 0.02682). C The input resistance changed significantly in rat (red, rat control: 86.95 ± 26.34 MΩ vs rat ZD7288: 98.18 ± 28.53 MΩ, paired sample t test: P = 0.00488) and human (blue, human control: 54.38 ± 28.8 MΩ vs human ZD7288: 70.21 ± 26.09 MΩ, paired sample t test: P = 0.02434) after the application of 20 µM ZD7288. D Effect of voltage gated ion channel blockage on bAP amplitude. The amplitudes of the bAPs were significantly decreased upon the application of voltage gated ion channel blockers (rat control: 46.32 ± 25.78 mV vs rat TTX, CdCl2, AP5: 6.26 ± 3.47 mV, paired sample t test: P = 0.00188, human control: 51.95 ± 22.81 mV vs. human TTX, CdCl2, AP5: 7.52 ± 2.84 mV, Wilcoxon signed ranks test: P = 0.0156).

Latencies and propagation speed measured at different points of the propagating waveforms.

A The presynaptic AP peak and EPSP latency were measured at different points. Left: latency at onset, middle: latency at half amplitude, right: latency at EPSP peak. B: Same as A but for bAP speed values. C Same as A but for AP axonal speed values. D Upper: Same as A but for sEPSP speed values. Lower: comparison of sEPSP and bAP speed. E: Pharmacological experiments with ZD7288. F: Same as E but for a cocktail of TTX, CdCl2, and AP5.

Morphological scaling factors due to fixation.

Model prediction of the maximal EPSPs latency within experimental recording distance range per modeled cell for the case of identical cable parameters for all cells.

𝑙𝑚𝑎𝑥 is the maximal physical distance from which the respective experiments (per cell) where performed (zoom-in region in Fig. 6A,B). 𝑑𝑚𝑎𝑥 is the (average) diameter at 𝑙𝑚𝑎𝑥. 𝐿𝑚𝑎𝑥 is the respective distances in cable units ; τ is the membrane time constant (Cm*Rm). Latency is the maximal latency measured at the maximal distance. All maximal values are averaged across branches at 𝑙𝑚𝑎𝑥, within 10𝜇m window bin. Uniform cable parameters were used for all cells as in Figure 6.

Model prediction of the maximal EPSPs latency within experimental recording distance range per modeled cell for the case of identical cable parameters and “hybrid cell” with “Rat4” basal tree.

𝑙𝑚𝑎𝑥 is the maximal physical distance from which the respective experiments (per cell) where performed (zoom-in region in Fig. 6E,F). 𝑑𝑚𝑎𝑥 is the (average) diameter at 𝑙𝑚𝑎𝑥. 𝐿𝑚𝑎𝑥 is the respective distances in cable units ; τ is the membrane time constant (Cm*Rm). Latency is the maximal latency measured at the maximal distance. All maximal values are averaged across branches at 𝑙𝑚𝑎𝑥, within 10𝜇m window bin. Uniform cable parameters were used for all cells as in Figure 6.

Velocity of EPSP peak as a function of distance from the synapse input site for the case of an infinite passive cylindrical cable with sealed end at the recording site (X = 0).

Note the high velocity of the EPSP peak when the synapse is near the recording site; the velocity converges to 2λ/τ for electrotonically distant synapses (horizontal dotted line). Cyan and red vertical lines show the maximal mean cable distance L_max (Table 2) measured experimentally in human and in rat neurons. Cable parameters and diameter are as in Table1 and Table 2 respectively. Note that because, on average, the location of the experimentally-recorded human synapses is closer (in cable units) to the recording site (“soma”), the EPSP velocity in human falls at a higher velocity compared to that of the rat.

Morphological irregularities affect EPSP latency and velocity.

A Cable with a single branch, with symmetrical (top left) or asymmetrical (top right) branches. Thick branches diameter is 4µm, while thin branches’ diameter is 1µm. Latency and velocity were calculated as explained in the text and in Figs. 7 and 8; synaptic inputs were activated at different sites along the structure. The recording site (“soma”) is at left (dark blue rectangle), with diameter of 13µm. B As in A, with normalized space and time constants. For symmetrical branches, both latency and velocity overlap for the two branches (left column in both A and B), while in asymmetrical case, the latency from the thick branch is smaller as it is electrotonically closer to the soma and, therefore, for the same physical distance the initial velocity of the EPSP at its site of origin is larger (right column in B, red branch compared with green). However, there is a small increase in latency (decrease in velocity at these daughter branches) due to local impedance mismatch. C. Cable with diameters replicating the apical main-branch of ‘Human2’ (left column) and ‘Rat1’ (right column) PCs. Note the local irregularities shifts the velocity above (left column) or below (right column) 2λ/𝜏 despite having identical lengths across all sections. Moreover, velocity pattern changes due to the proximity of the synapse to the soma, as a function of the cable diameters. Cable parameters are identical for all morphologies (Cm = 1.5 µF/cm2, Rm = 10,000 Ωcm2, Ra = 150 Ωcm).

Morphology of the nine modeled cells.

Each dendritic branch is marked by a different color.

Quantifying the effect of switching the basal tree between rat and human (and vice versa- the ‘hybrid cells’ on mean latency. Top:

Average latency as a result of using each of the nine modeled cells basal trees as the basal tree of all other cells (e.g. a “hybrid cell”), compared with original models latencies. Average latency was calculated similar to Suppl. Table 2 (shown in “Original” column) and Suppl. Table 3 (shown in “Rat 4 basal” column). Bottom: Difference in latency calculated by subtracting the original values from the respective hybrid case (e.g. top panel). Note the acceleration due to the human basal trees versus the deceleration due to rat basal trees.

‘hybrid cells’ effect on latency and velocity for the experimentally-fitted cable parameters. A,B

Same as Fig 7E,F but for ‘hybrid cells’, computed for the 5 human neurons, all having the basal tree of ‘Rat4’ (in blue) and for the 4 rat cells, all with the basal tree of ‘Rat1’ (in red). Note that the differences in latency and velocity between human and rat were diminished (insets).

Paired recordings EPSP latency distributions.

A EPSP latency distributions from all the cell pairs shown in Fig. 1. B EPSP latency distributions for the fully reconstructed cell pairs. Blue: human cell pairs, red: rat cell pairs. Each dot represent a latency value measured on a single sweep.

Comparison of sEPSP and EPSP features.

Each dot represents the mean of all the recorded values on individual trials for a given cell. Blue: human, red: rat. The example cell in Figure 2 is highlighted with darker red, to give an intuition of how representative is it.

Effect of dendritic branching points on signal propagation velocity.

A Dendritic branching point counts between the putative synapse and the soma of the postsynaptic cells of the fully reconstructed cell pairs. We could not find significant correlation between synaptic latency and branching point counts (Red: rat, Blue: human). B Branching point counts between the dendritic recording site and the soma during sEPSP recordings. We could not find significant correlation between branching point count and sEPSP propagation speed. C Branching point counts between the dendritic recording site and the soma during bAP recordings. We found a significant correlation between branching point count and bAP propagation speed in the rat dataset (red) but not in the human dataset (blue). D Simulation of the effect of a branching point on the signal propagation velocity. Adding a branch point (yellow versus red, marked with a circle) to the dendrite did not affect the velocity and the latency of the simulated signal. E Same as D but for cable units.

Effect of series resistance of the dendritic electrode on measurement of EPSP latency. A. Top: simulated EPSPs in Human 1 neuron as recorded at the injected point in the apical dendrite, located 150 m from the soma. Simulated synaptic current is shown by the dashed line. Bottom: the resultant EPSP at the soma. Simulation was performed for a range of series resistance (Rs) values (shown at right). B. As in A but for Rat 3 neuron. C. EPSPs latency as a function of Rs for the 9 modeled neurons. Electrode capacitance was 6pF with variable series resistance, Rs.