The Number of Glutamate Receptors Opened by Synaptic Stimulation in Single Hippocampal Spines

Detection of failures of receptor activation. A, Schematic illustrating the failure analysis in single dendritic spines using the high-affinity indicator Fluo-4. Under baseline conditions (top), presynaptic stimulation results in failures, primarily because of failure of neurotransmitter release and successes attributable to binding of released glutamate to NMDA-Rs and the resultant influx of Ca²⁺ (arrows). Under conditions of partial NMDA-R blockade, the incidence of release failures does not change but there is an increased incidence of failures of receptors to open despite glutamate release (receptor failures), at the expense of successes. Note that under these conditions, successes are attributable to the opening of fewer channels and often a single channel. Because of dye saturation, these responses appear nearly as large as responses attributable to the opening of many channels. B, C, Frequency distributions of NMDA-R-mediated Ca²⁺ signals before (B) and in the presence of (C) D-CPP. Note the clear separation of successes (blue bars) from failures (black bars) in both conditions. Under conditions of partial blockade, failures increased at the expense of successes. Open histograms (red) indicate the distribution of ΔG/R in trials when no stimulus was delivered. D, Partial blockade (PB) of NMDA-R EPSCs as a function of [D-CPP]. The gray line shows the fit using the Michaelis-Menten equation. E, NMDA-R EPSCs (black line; baseline) partially blocked by 250 nm D-CPP (red line). The washout trace is indicated by the gray line. These currents are from the same experiment illustrated in A and B. F, G, D-CPP increases failure rates. F, Synapses (N = 45) that were recorded before and after the addition of D-CPP showed a mean net change of 34% (red bar). In comparison, G shows the analogous data from 15 synapses in which D-CPP was not added, to test for nonstationarity of f. When divided into epochs analogous to “baseline” and “D-CPP” epochs analyzed in the failure analysis, there was no net change in f (red bar). H, I, Absence of a presynaptic effect of D-CPP. H, Black trace, baseline at -70 mV; red trace, 10 μm D-CPP at -70 mV; gray trace, 10 μm D-CPP plus 10 μm NBQX at +40 mV, demonstrating complete blockade of the NMDA-R EPSC at this concentration of D-CPP. I, D-CPP (10 μm) does not have an effect on AMPA-R EPSC amplitude or paired-pulse ratio (PPR) (ISI, 40 msec).

Amplitude analysis assay to determine the number of NMDA-Rs opening at single synapses. A, B, Frequency distributions of NMDA-R-mediated calcium signals imaged using the low-affinity indicator Fluo-4FF before (A) and in the presence of (B) D-CPP. Under conditions of partial blockade, failures (black bars) increased at the expense of successes (blue bars). Open histograms (red; right axis) indicate the distribution of ΔG/R in trials when no stimulus was delivered. C, D, [Ca²⁺] transients corresponding to A and B. Note the wide range of response amplitudes and the overall decrease in amplitude in the presence of 400 nm D-CPP (D). E, NMDA-R-mediated EPSCs before (black) and after (red) the addition of 400 nm D-CPP.

Results of simulations of NMDA-R activation reported by Fluo-4 (150 μm) with 3000 (left) or 100 (right) trials. Response amplitudes are expressed as the proportion of dye saturation. Parameters are given in Table 1; P_r = 1. Two separate peaks are apparent, corresponding to successes and failures, even when only one receptor is opening, on average (n = 1; black lines). Note that when n increases from 1 to 3 (gray lines), the number of failures decreases, as expected. Dashed lines indicate simulations taking into account the variability of glutamate concentration in the cleft and of the location of glutamate release (see Materials and Methods). Note the slight increase in failures when this variability is taken into account.

Results from the failure analysis assay. A, Distribution of calculated values of n. Most synapses had small values of n. Synapses in which only an upper or lower limit could be computed are assigned to bins labeled UL and LL, respectively. B, Values of n ordered by magnitude. The solid circles represent the mean value of n obtained for each synapse. Only spines where at least an upper or lower limit could be computed are shown. Spines where a lower limit, but not the mean n, could be determined are indicated with diamonds. Lower (upright triangles) and upper (inverted triangles) limits, when calculable, are indicated.

Simulation of the failure analysis assay. To generate the distributions, P_r was varied from 0.1 and 0.9, and partial block (I′/I) from 0.4 and 0.7. The number of trials per observation was in the range 60-100, as in our experiments. Note the presence of synapses for which only upper limits (UL) or lower limits (LL) can be obtained, consistent with what was observed experimentally (compare with Fig. 4A). These cases are attributable to sampling errors in estimating f. As n increases, the failure analysis becomes relatively insensitive to the value of n, and LL cases increase.

Results of the amplitude analysis assay. A, Distribution of calculated values of n (solid black bars). Most synapses had small values of n, and very large values were not observed. The values obtained using the failure analysis (Fig. 4A) are replotted for comparison (gray bars). B, C, Values of n plotted against the linear distance of the synapse from the soma (B) and release probability (C). D, Values of n plotted against spine volume. E, The mean ΔG/R (<ΔG/R>) plotted against spine volume. Note the decay of <ΔG/R> with (volume)^-1. Error bars represent SEM.