NMDA Receptors Enhance the Fidelity of Synaptic Integration

Combining synaptic AMPA and NMDA conductances stabilizes EPSP-spike coupling. A, A spiny ball-and-stick neuron (black; 1000-μm dendrite) receiving progressively longer iterative trains of a spatiotemporal pattern of synaptic input. Just-threshold (thick traces) and just-subthreshold (thin traces) voltage responses in the soma for AMPA-only (yellow), NMDA-only (blue), or both AMPA and NMDA (green) synaptic conductances in response to inputs arriving within the first 50 μm of the dendrite. RMP is −70 mV. B, Somatic (B₁) and dendritic (B₂, top) voltage responses for identical subthreshold synaptic barrages at each dendritic location (superimposed; 20-μm intervals centered between 35 μm [black traces] and 975 μm [gray traces] from the soma) for the indicated synaptic conductance types (RMP is −70 mV). Summed total synaptic currents are shown in B₂, bottom. Timings of synaptic activations are shown with semi-transparent black dots above the synaptic currents in B₂. While the spatiotemporal pattern is identical for all synaptic conductances, the number of synapses activated is adjusted for each conductance such that the maximal number of synaptic inputs that remain subthreshold across all dendritic locations is delivered. When occurring at locations where they are “just-subthreshold,” somatic EPSPs can recruit somatic and axonal voltage-gated sodium conductances, producing the small peaks visible on the largest somatic EPSPs. C, Plots of the mean threshold numbers of synaptic activations necessary to initiate action potentials at different locations in the dendrite for synaptic inputs having AMPA-only (left; yellow), NMDA-only (middle; blue), or AMPA and NMDA (right; green) conductances, across seven different RMPs (−85 to −55 mV), as indicated by color depth. Mean ranges of synaptic thresholds measured across RMP (Δ_RMP) or dendritic location (Δ_location; ±SDs) and effect sizes (d, in units of s_AMPA-only) of conductance on ranges (for NMDA-only and AMPA+NMDA inputs) are shown in the inset. D, Plots of mean CVs (±SDs) calculated for the threshold number of synapses for each pattern of input (n = 10), across all locations within each RMPs (left), across all RMPs for each dendritic location (middle), and across all RMPs and dendritic locations (total CV; right) for inputs having AMPA-only (yellow), NMDA-only (blue), or both AMPA and NMDA (green) conductances in dendrites of the indicated lengths. Note that in the 1000-μm dendrite the CV for AMPA-only responses can be very large and off scale. The magnitudes of these large CVs are indicated next to their symbol (SD bars are to scale). The effect sizes (d) for changes in CV with AMPA+NMDA inputs (relative to AMPA-only CVs; expressed in units of s_AMPA-only) are shown in green for each dendritic length.

NMDA-dependent stabilization of EPSP-spike coupling is consistent across a range of model conditions and is not dependent on total synaptic conductance. A, Total CVs (±SDs) for synaptic thresholds measured across all dendritic locations and RMPs for AMPA-only (yellow), NMDA-only (blue), and AMPA+NMDA (green) synaptic inputs to a 200-μm dendrite placed on neurons having 0–5 additional dendrites (600 μm each, as indicated in inset diagrams). Effect sizes for AMPA+NMDA inputs (relative to AMPA-only inputs) are listed in green (in units of s_AMPA-only). The neuron with three additional dendrites is used in later figures and referred to as the “200-μm dendrite on a larger neuron.” B, Total CVs (±SDs) for synaptic thresholds for AMPA-only (yellow), NMDA-only (blue), and AMPA+NMDA (green) inputs to non-spiny dendrites of the indicated lengths. Effect sizes for AMPA+NMDA CVs shown in green (units of s_AMPA-only). C, Total CVs (±SDs) for synaptic thresholds measured across all dendritic locations and RMPs for inputs onto spiny dendrites with active conductances (see Table 1). D, Plot of mean total CVs for synaptic thresholds (±SDs) for AMPA-only EPSPs with the indicated peak conductance magnitudes in a 600-μm dendrite. Black dashed line indicates the mean CV of the standard 500 pS AMPA conductance (indicated by asterisk), while the green dashed line indicates mean total CV (with shaded SD) for AMPA (500 pS) + NMDA (1 nS) inputs in the same dendrite. Effect sizes of peak conductance manipulations, relative to the 500 pS AMPA input, are shown in black (in units of s_500pS). Inset shows the AMPA conductances to scale.

Differential impact of voltage dependence and kinetics on the fidelity of synaptic integration. A, Diagram of a ball-and-stick neuron (top) receiving spatiotemporal patterns of synaptic input to 50-μm spans of dendrite to determine the number of synaptic inputs necessary for action potential generation. Traces below show the synaptic conductances tested: a 500 pS AMPA-only conductance, a 400 pS AMPA conductance “doped” with one of three additional conductances, including a fast-NMDA conductance (*nominally 1.25 nS maximal conductance, reaching 4.6 pS at −85 mV, and 49 pS at −55 mV, as shown), a slow-AMPA conductance with NMDA kinetics (22 pS), or a nominally 345 pS NMDA conductance (*reaching 1.3 and 13.6 pS at −85 and −55 mV, respectively), or a 250 pS AMPA conductance doped with relatively larger fast-NMDA, slow-AMPA, and NMDA conductances). All conductances are shown to scale and were titrated such that each generated a mean threshold of ∼51 synapses in the proximal end of the 600-μm dendrite at −70 mV (arrow in B). B, Plots of mean synaptic thresholds for inputs across all RMPs for each 50-μm span of dendrite (incremented at 10-μm intervals) for inputs having the indicated synaptic conductances in dendrites of the indicated lengths (y-axis cut off at 200 synapses; color coding as in panel C). Note that we also tested a 200-μm dendrite attached to a large neuron having three additional 600-μm dendrites (middle plot; see also Fig. 3A). C, Plots of mean CVs for thresholds calculated across seven RMPs (−85 to −55 mV) for each color-coded synaptic conductance at each dendritic location (i.e., measures of RMP-dependent variability of threshold for each given dendritic location) for the different length dendrites (as indicated in B); y-axis cut off at 0.6. D, Plots of mean CVs (±SDs) for synaptic thresholds for each color-coded conductance measured across all dendritic locations within each RMP (i.e., a measure of location-dependent variability in threshold for each RMP). For trials in the 1000-μm dendrite at −75 mV, the 500 pS AMPA and slow AMPA models hit very high thresholds (>3000) in their most distal measurable compartment, which generated large CVs at that RMP. CVs calculated for those conductances without the last dendritic location are plotted in the gray dashed box. E, Plots of mean total CVs (±SDs) calculated across all dendritic locations and all RMPs for neurons with the indicated dendritic lengths and color-coded synaptic conductances.

Effect sizes of synaptic conductance on variability of EPSP-spike coupling across RMP and dendritic location. A, Plots of effect sizes of conductance-dependent changes in CV calculated across RMP for each dendritic location (in units of s_AMPA-only; see Materials and Methods). Yellow dashed lines indicate d = 0 (i.e., identical to 500 pS AMPA-only trials), with effect sizes above that line reflecting larger-than-AMPA-only CVs, while values below the dashed-yellow lines indicate smaller-than-AMPA-only CVs. Data are from Figure 4C, and conductance types are similarly indicated by color. Effect sizes of our normal AMPA (500 pS) conductance combined with 1 nS NMDA (i.e., from Fig. 2C) are also shown with thick gray semi-transparent lines. Inputs with the fast-NMDA conductance tended to generate more variability in synaptic thresholds across RMP, especially in short or proximal dendrites, while inputs with slow kinetics exhibited smaller CVs relative to AMPA-only inputs. Combining voltage dependence with slow kinetics (e.g., green and gray NMDA traces) reduced variability in synaptic thresholds across RMP at all locations in most dendrites. Plots for the 1000-μm dendrite are truncated at −20 s_AMPA-only. B, Plots of effect sizes for changes in CV calculated across all dendritic locations within each RMP for data shown in Figure 4D (conductance types indicated by color, as in A). Voltage-dependent conductances greatly reduced threshold variability across location within a given RMP (an effect magnified at hyperpolarized RMPs), whereas slow kinetics in the absence of voltage dependence had little effect.

Impact of synaptic conductance on synaptic integration in realistic neuron morphologies. A, Plots of the mean threshold number of synaptic activations necessary to depolarize the soma of a CA3 pyramidal neuron by 3 mV at progressively more distal 50-μm dendritic segments (along red dendrites in diagram at left) experiencing ten static-random spatiotemporal patterns of synaptic input. Colors (yellow, blue, and green) indicate simulations with AMPA, NMDA, and both AMPA and NMDA conductances, respectively, at three different RMPs (−60, −70, and −80 mV); y-axes are truncated at 150 synapses to show differences in proximal dendrites. B, Plots of mean CVs for synaptic thresholds calculated across seven RMPs (−85 to −55 mV) for each dendritic location. Synaptic conductances indicated by color, with shaded regions indicating SDs. The mean effect size (d, in units of s_AMPA-only) for CVs from AMPA-plus-NMDA simulations (relative to AMPA-only conductance) is shown in green at the bottom of the graph. C, Comparisons of mean (±SD) CVs calculated for synaptic thresholds across dendritic locations within each of seven RMPs. Colors as in B. Effect sizes for AMPA-plus-NMDA trials (vs AMPA-only inputs) are shown in green at top for each RMP (units of s_AMPA-only). D, Plots of the threshold number of synaptic activations necessary to drive a 5-mV somatic depolarization in a dentate granule neuron (red dendrites in diagram to left) at progressively more distal 50-μm segments experiencing ten expanding static-random spatiotemporal patterns of synaptic input. Colors as in B. E, Plots of mean CVs (with SD in shaded regions) of synaptic thresholds measured across seven RMPs for each dendritic location in the dentate granule neuron. Synaptic conductances indicated by color. F, Comparisons of mean CV (±SD) for synaptic thresholds calculated across dendritic location within each of seven RMPs in the granule neuron. Effect sizes of AMPA-plus-NMDA inputs (relative to AMPA-only inputs) are indicated in green at top for each RMP (units of s_AMPA-only).

NMDA-dependent stabilization of EPSP-spike coupling occurs over a range of AMPA-to-NMDA conductance ratios. A, Somatic EPSPs generated at −70 mV by proximal inputs having the indicated maximum AMPA conductances (maximal NMDA conductance held steady at 1 nS) in a ball-and-stick neuron (black; not drawn to scale). B, Plots of the mean number of synaptic activations necessary to fire an action potential (±SDs; shaded regions) in an 800-μm-long ball-and-stick neuron resting at −60 mV (left) or −80 mV (right) with peak AMPA conductance set to 0.2, 0.5, or 1 nS, either alone (yellow) or together with a 1 nS NMDA conductance (green); y-axes limited to 200 (left) or 600 (right) synapses to show differences in proximal locations. C, Plots of mean CVs for thresholds (±SDs; shaded regions) for each dendritic length (including the 200-μm dendrite on a large neuron with three additional 600-μm dendrites) for inputs having AMPA-only (yellow) or AMPA plus NMDA (green) conductances as a function of maximal AMPA conductance (0.1–1.5 nS). Mean effect sizes for AMPA+NMDA inputs (relative to AMPA-only inputs; ±SDs) calculated for all AMPA conductances ≥400 pS are shown in green. As a reference, the CV (±SD) for NMDA-only synapses is shown in blue. Note the y-axis scale change for the 1000-μm dendrite.