Noise deconvolution based on the L1-metric and decomposition of discrete distributions of postsynaptic responses

Combining principal component and spectral analyses with the method of moments in studies of quantal transmission

This chapter considers methods for measurements of postsynaptic responses and simple approaches to the estimation of parameters of quantal release in synapses of the central nervous system of vertebrates. The use of these methods is illustrated by the analysis of single-fibre and "minimal" monosynaptic postsynaptic potentials (PSPs) or currents (PSCs) recorded from neurons of the frog spinal cord and rat hippocampus. First, we briefly discuss traditional methods of the response measurements using peak amplitudes or areas, further focusing on a novel method based on multivariate statistical techniques of the principal component analysis (PCA). This approach provides typically better signal-to-noise ratios and is able to separate two or more response components, which can arise due to activation of more than one presynaptic fibre, axon collaterals, receptor subtypes or spatially separated transmission sites. Second, spectral analysis is introduced as the method of choice to verify whether the amplitude fluctuations of the postsynaptic responses have a quantal nature and to obtain estimations of the "basic" quantal parameters, i.e. the quantal size (Q) and mean quantal content (m), without introducing assumptions on release statistics. Third, we show how the method of moments could be applied in the framework of the Poisson and binomial models to estimate the basic quantal parameters and parameters p and n, which reflect the release probability and maximum number of quanta released (or the number of effective release sites), respectively. Fourth, we show that the analysis of the moments can also be instrumental to reveal non-uniformity of release probabilities and compare how several competing models of neurotransmitter release fit to multiple experimental data sets.

Associative mossy fibre LTP induced by pairing presynaptic stimulation with postsynaptic hyperpolarization of CA3 neurons in rat hippocampal slice

Whole cell recordings of excitatory postsynaptic potentials/currents (EPSPs/EPSCs) evoked by minimal stimulation of commissural-associative (CF) and mossy fibre (MF) inputs were performed in CA3 pyramidal neurons. Paired responses (at 50 ms intervals) were recorded before, during and after hyperpolarization of the postsynaptic membrane (20-30 mV for 15-35 min). Membrane hyperpolarization produced a supralinear increase of EPSPs/EPSCs amplitude in MF-inputs. Synaptic responses remained potentiated for the rest of the recording period (up to 40 min) after resetting the membrane potential to control level (221 +/- 60%, n = 15 and 219 +/- 61%, n = 11 for MF-EPSP and MF-EPSC, respectively). We shall refer to this effect as hyperpolarization-induced LTP (HI-LTP). In the absence of afferent stimulation, membrane hyperpolarization was unable to produce HI-LTP. In contrast to MF-EPSPs, the mean amplitude of CF-EPSPs did not increase significantly after hyperpolarization relative to controls (138 +/- 29%, n = 22). HI-LTP was associated with modifications of classical indices of presynaptic release: paired-pulse facilitation, failures rate, coefficient of variation of EPSP amplitudes and quantal content. The induction of HI-LTP was NMDA independent but was dependent on metabotropic glutamate receptors (mGluRs) activation and calcium release from inositol 1,4,5-triphosphate (IP3)-sensitive intracellular stores: it was prevented by mGluR antagonist, intracellular heparin and BAPTA. We conclude that while the induction of HI-LTP was postsynaptic, its expression was presynaptic.

Quantal analysis suggests strong involvement of presynaptic mechanisms during the initial 3 h maintenance of long-term potentiation in rat hippocampal CA1 area in vitro

Long-term potentiation (LTP) is the most prominent model to study neuronal plasticity. Previous studies using quantal analysis of an early stage of LTP in the CA1 hippocampal region (<1 h after induction) suggested increases in both the mean number of transmitter quanta released by each presynaptic pulse (m, quantal content) and postsynaptic effect of a single quantum (v, quantal size). When LTP was large, it was m that increased predominantly suggesting prevailing presynaptic contribution. However, LTP consists of several temporary phases with presumably different mechanisms. Here we recorded excitatory postsynaptic potentials from CA1 hippocampal slices before and up to 3.5 h after LTP induction. A new version of the noise deconvolution revealed significant increases in m with smaller and often not statistically significant changes in v. The changes in m were similar for both early (<1 h) and later (1-3 h) post-tetanic periods and correlated with LTP magnitude. The coefficient of variation of the response amplitude and the number of failures decreased during both early and late post-tetanic periods. The results suggest that both early (<0.5 h) and later LTP components (0.5-3 h) are maintained by presynaptic changes, which include increases in release probabilities and the number of effective release sites. In addition initially silent synapses can be converted into effective ones due to either pre- or postsynaptic rearrangements. If this occurs, our data indicate that the number and the efficacy of the receptors in the new transmission sites are approximately similar to those in the previously effective sites.

Intrasynaptic ephaptic feedback in central synapses

Electrophysiological laboratory studies on rat visual cortex and hippocampus slices are reviewed. The aim was to confirm the existence of positive feedback in central synapses operating by an electrical (ephaptic) mechanism, as suggested by Byzov. Byzov's hypothesis holds that artificial hyperpolarization of the postsynaptic membrane potential should increase the amplitude of the excitatory postsynaptic current (EPSC) and potential (EPSP) in some central synapses not only by means of increases in the electromotive force (EMF). but also by means of increases in transmitter release from the presynaptic apparatus. Some experiments showed that hyperpolarization altered the parameters of presynaptic transmitter release, i.e., the quantity of "failed" responses N0, the coefficient of variation CV, and the quantum composition m of minimal EPSC and EPSP. The effect was particularly marked for EPSP in giant synapses formed by mossy fibers on neurons in field CA3. "Supralinear" functions were observed for these synapses in the relationship between EPSC amplitude and membrane potential in conditions of hyperpolarization of membrane potentials and in the relationship between presynaptic paired-stimulus facilitation and membrane potential. All of these "non-classical" effects disappeared when summed rather than minimal EPSC were evoked. The results are in agreement with computer experiments based on the Byzov model and are regarded as support for Byzov's hypothesis. Regardless of their explanation, the data obtained here demonstrate a new feedback mechanism for central synapses, which allows the postsynaptic neuron to control the efficiency of some synapses via changes in membrane potential. This mechanism can significantly increase the efficiency of large ("perforated") synapses and explains the increase in the number of this type of synapse after various experimental manipulations, such as those inducing long-term potentiation or forming conditioned reflexes.

Long-term synaptic changes induced by intracellular tetanization of CA3 pyramidal neurons in hippocampal slices from juvenile rats

Minimal excitatory postsynaptic potentials were evoked in CA3 pyramidal neurons by activation of the mossy fibres in hippocampal slices from seven- to 16-day-old rats. Conditioning intracellular depolarizing pulses were delivered as 50- or 100-Hz bursts. A statistically significant depression and potentiation was induced in four and five of 13 cases, respectively. The initial state of the synapses influenced the effect: the amplitude changes correlated with the pretetanic paired-pulse facilitation ratio. Afferent (mossy fibre) tetanization produced a significant depression in four of six inputs, and no significant changes in two inputs. Quantal content decreased or increased following induction of the depression or potentiation, respectively, whereas no significant changes in quantal size were observed. Compatible with presynaptic maintenance mechanisms of both depression and potentiation, changes in the mean quantal content were associated with modifications in the paired-pulse facilitation ratios, coefficient of variation of response amplitudes and number of response failures. Cases were encountered when apparently "presynaptically silent" synapses were converted into functional synapses during potentiation or when effective synapses became "presynaptically silent" when depression was induced, suggesting respective changes in the probability of transmitter release. It is concluded that, in juvenile rats, it is possible to induce lasting potentiation at the mossy fibre-CA3 synapses by purely postsynaptic stimulation, while afferent tetanization is accompanied by long-lasting depression. The data support the existence not only of a presynaptically induced, but also a postsynaptically induced form of long-term potentiation in the mossy fibre-CA3 synapse. Despite a postsynaptic induction mechanism, maintenance of both potentiation and depression is likely to occur presynaptically.

Evidence for an ephaptic feedback in cortical synapses: postsynaptic hyperpolarization alters the number of response failures and quantal content

The amplitude of excitatory postsynaptic potentials and currents increases with membrane potential hyperpolarization. This has been attributed to an increase in the driving force when the membrane potential deviates from the equilibrium potential of the respective ions. Here we report that in a subset of neocortical and hippocampal synapses, postsynaptic hyperpolarization affects traditional measures of transmitter release: the number of failures, coefficient of variation of response amplitudes, and quantal content, suggesting increased presynaptic release. The result is compatible with the hypothesis of Byzov on the existence of electrical (or "ephaptic") linking in purely chemical synapses. The linking, although negligible at neuromuscular junctions, could be functionally significant in influencing transmitter release at synapses with high resistance along the synaptic cleft. Our findings necessitate reconsideration of classical amplitude-voltage relations for such synapses. Thus, synaptic strength may be enhanced by hyperpolarization of the postsynaptic membrane potential. The positive ephaptic feedback could account for "all-or-none" excitatory postsynaptic potentials at some cortical synapses, large evoked and spontaneous multiquantal events and a high efficacy of large "perforated" synapses whose number increases following behavioural learning or the induction of long-term potentiation.

Intracellular studies of the interaction between paired-pulse facilitation and the delayed phase of long-term potentiation in the hippocampus

The mechanisms of the early (up to 1 h) and late (up to 3 h) phases of long-term potentiation were studied by analyzing the interaction between long-term potentiation and presynaptic paired-pulse facilitation. "Minimal" excitatory postsynaptic potentials were measured in pyramidal neurons in field CA1 of rat hippocampal slices in conditions of paired-pulse stimulation of the radial layer. In most neurons, paired-pulse facilitation decreased after induction of long-term potentiation, and this reduction lasted throughout the recording period (up to 3.5 h). Changes in paired-pulse facilitation correlated with the extent of long-term facilitation and with the initial level of paired-pulse facilitation, and the extent of facilitation depended on the initial level of paired-pulse facilitation. This latter relationship was different for the early and late phases of long-term potentiation and increased with time. Overall, the data obtained here demonstrate a significant role for presynaptic mechanisms in maintaining both the early and late phases of long-term potentiation. It is suggested that the basic mechanism of the early phase of potentiation is an increase in the probability that transmitter will be released, which also leads to an increase in the number of effective release sites, due to transformation of "presynaptically quiet" synapses into effective synapses. It is proposed that the development of the late phase is based on simultaneous pre- and postsynaptic structural transformations which increase the number of synaptically active zones.

Two distinct forms of long-term depression coexist at the mossy fiber-CA3 synapse in the hippocampus during development

During a critical period of postnatal development, between postnatal days 6 and 14, a high-frequency stimulation train (100 Hz for 1 s) to the mossy fibers induces a long-term depression (LTD) of synaptic efficacy of 29 +/- 5.2%. This form of LTD is homosynaptic. It is independent of the activation of N-methyl-D-aspartate or metabotropic glutamate receptors but needs an increase in calcium into the postsynaptic cell for its induction. At the same synapse LTD also could be induced by low-frequency stimulation of the mossy fibers (1 Hz for 15 min). In this case the magnitude of the depression is 37 +/- 4.2%. This form of LTD is N-methyl-D-aspartate independent but requires the activation of metabotropic glutamate receptors because it is prevented by (S)-alpha-methyl-4-carboxyphenylglycine (1 mM). Moreover its induction appears to be presynaptic, because, in contrast with the high-frequency one, it is not blocked by loading the postsynaptic cell with the calcium chelator EGTA or bis-(-o-aminophenoxy)ethane-N, N,N',N'-tetraacetic acid (BAPTA). Saturation of one form of LTD does not occlude the other, suggesting that high and low frequency-induced LTD depend on distinct mechanisms of induction and expression. Quantal (noise deconvolution) analysis of minimal excitatory postsynaptic potentials shows, similarly to high-frequency LTD, a decrease in quantal content without any change in quantal size after low-frequency LTD, suggesting that in both forms of LTD the site where maintenance mechanisms are located is presynaptic.

Principal component analysis of minimal excitatory postsynaptic potentials

'Minimal' excitatory postsynaptic potentials (EPSPs) are often recorded from central neurones, specifically for quantal analysis. However the EPSPs may emerge from activation of several fibres or transmission sites so that formal quantal analysis may give false results. Here we extended application of the principal component analysis (PCA) to minimal EPSPs. We tested a PCA algorithm and a new graphical 'alignment' procedure against both simulated data and hippocampal EPSPs. Minimal EPSPs were recorded before and up to 3.5 h following induction of long-term potentiation (LTP) in CA1 neurones. In 29 out of 45 EPSPs, two (N=22) or three (N=7) components were detected which differed in latencies, rise time (Trise) or both. The detected differences ranged from 0.6 to 7.8 ms for the latency and from 1.6-9 ms for Trise. Different components behaved differently following LTP induction. Cases were found when one component was potentiated immediately after tetanus whereas the other with a delay of 15-60 min. The immediately potentiated component could decline in 1-2 h so that the two components contributed differently into early (< 1 h) LTP1 and later (1-4 h) LTP2 phases. The noise deconvolution techniques was applied to both conventional EPSP amplitudes and scores of separate components. Cases are illustrated when quantal size (upsilon) estimated from the EPSP amplitudes increased whereas upsilon estimated from the component scores was stable during LTP1. Analysis of component scores could show apparent double-fold increases in upsilon which are interpreted as reflections of synchronized quantal releases. In general, the results demonstrate PCA applicability to separate EPSPs into different components and its usefulness for precise analysis of synaptic transmission.