Efficiency of synaptic transmission of single-photon events from rod photoreceptor to rod bipolar dendrite

A rod transmits absorption of a single photon by what appears to be a small reduction in the small number of quanta of neurotransmitter (Q(count)) that it releases within the integration period ( approximately 0.1 s) of a rod bipolar dendrite. Due to the quantal and stochastic nature of release, discrete distributions of Q(count) for darkness versus one isomerization of rhodopsin (R*) overlap. We suggested that release must be regular to narrow these distributions, reduce overlap, reduce the rate of false positives, and increase transmission efficiency (the fraction of R* events that are identified as light). Unsurprisingly, higher quantal release rates (Q(rates)) yield higher efficiencies. Focusing here on the effect of small changes in Q(rate), we find that a slightly higher Q(rate) yields greatly reduced efficiency, due to a necessarily fixed quantal-count threshold. To stabilize efficiency in the face of drift in Q(rate), the dendrite needs to regulate the biochemical realization of its quantal-count threshold with respect to its Q(count). These considerations reveal the mathematical role of calcium-based negative feedback and suggest a helpful role for spontaneous R*. In addition, to stabilize efficiency in the face of drift in degree of regularity, efficiency should be approximately 50%, similar to measurements.     

Rate of quantal transmitter release at the mammalian rod synapse.

Under scotopic conditions, the mammalian rod encodes either one photon or none within its integration time. Consequently the signal presented to its synaptic terminal is binary. The synapse has a single active zone that releases neurotransmitter quanta tonically in darkness and pauses briefly in response to a rhodopsin isomerization by a photon. We asked: what minimum tonic rate would allow the postsynaptic bipolar cell to distinguish this pause from an extra-long interval between quanta due to the stochastic timing of release? The answer required a model of the circuit that included the rod convergence onto the bipolar cell and the bipolar cell''s signal-to-noise ratio. Calculations from the model suggest that tonic release must be at least 40 quanta/s. This tonic rate is much higher than at conventional synapses where reliability is achieved by employing multiple active zones. The rod''s synaptic mechanism makes efficient use of space, which in the retina is at a premium.     

The role of calcium in modulation of the kinetics of synchronous and asynchronous quantal release at the neuromuscular junction

To elucidate the mechanisms of calcium regulation of the kinetics of the evoked neurotransmitter quantal release, we have investigated the temporal parameters of acetylcholine secretion in the mouse neuro-muscular junction at varying extracellular calcium concentration, in the presence of calcium channel blockers or intracellular calcium buffers. Acetylcholine secretion was induced by the motor nerve stimulation at a low frequency, which did not produce facilitation of the neurotransmitter release. The analysis of histograms of synaptic delays of uniquantal endplate currents recorded during 50 ms after the presynaptic action potential revealed three components of the secretion process: early and late periods of synchronous release and a delayed asynchronous release. At reduced extracellular calcium level, the relative number of quanta released during the asynchronous phase of secretion increased, while the rate of quantal release during the early synchronous period decreased. The findings support the hypothesis of participation of low- and high-affinity calcium sensors with different calcium binding kinetics in regulation of, respectively, synchronous and asynchronous release of neurotransmitter quanta.     

Estimation of Poisson Rates with Misclassified Counts

The Poisson assumption is popular when data arises in the form of counts. In many applications such counts are fallible. Little research has been done on the Poisson distribution when both false positives and false negatives are present. We present a model in this paper that corrects for misclassification of count data. Bayesian estimators are developed. We provide the actual posterior distributions via integration. Markov Chain Monte Carlo results, which are more convenient for large sample sizes, are utilized for inference.     

Weber and noise adaptation in the retina of the toad Bufo marinus

Responses to flashes and steps of light were recorded intracellularly from rods and horizontal cells, and extracellularly from ganglion cells, in toad eyecups which were either dark adapted or exposed to various levels of background light. The average background intensities needed to depress the dark-adapted flash sensitivity by half in the three cell types, determined under identical conditions, were 0.9 Rh*s-1 (rods), 0.8 Rh*s-1 (horizontal cells), and 0.17 Rh*s-1 (ganglion cells), where Rh* denotes one isomerization per rod. Thus, there is a range (approximately 0.7 log units) of weak backgrounds where the sensitivity (response amplitude/Rh*) of rods is not significantly affected, but where that of ganglion cells (1/threshold) is substantially reduced, which implies that the gain of the transmission from rods to the ganglion cell output is decreased. In this range, the ganglion cell threshold rises approximately as the square root of background intensity (i.e. in proportion to the quantal noise from the background), while the maintained rate of discharge stays constant. The threshold response of the cell will then signal light deviations (from a mean level) of constant statistical significance. We propose that this type of ganglion cell desensitization under dim backgrounds is due to a post-receptoral gain control driven by quantal fluctuations, and term it noise adaptation in contrast to the Weber adaptation (desensitization proportional to the mean background intensity) of rods, horizontal cells, and ganglion cells at higher background intensities.     

Changes in the kinetics of quanta secretion-effective mechanism of synaptic transmission modulation

It is widely accepted that the leading presynaptic mechanisms underlying the synaptic plasticity involve changes of the number of neurotransmitter quanta released by one nerve pulse (the quantal content of postsynaptic response) and of the size of a single quantum. In addition, the existence of one more effective though previously ignored mechanism of modulation of synaptic plasticity was suggested related to the change in the time course (kinetics) of secretion of single neurotransmitter quanta forming the multiquantal response. This article reviews current data (including the authors' own results) on the kinetics of evoked neurotransmitter quanta secretion from motor nerve endings in peripheral synapses, mechanisms of their modulation and methods of quantitative analysis.     

Down-regulation of quantal size at frog neuromuscular junctions: possible roles for elevated intracellular calcium and for protein kinase C

Previous work showed that quantal size can be at least doubled at the frog neuromuscular junction by pretreatment with hormones or hypertonic solutions, primarily by the release of more acetylcholine (ACh) per quantum. Once increased, quantal size slowly declined over hours. Quantal size was measured from miniature end-plate potentials (MEPPs) or currents (MEPCs). In the present experiments, preparations in which quantal size had been increased were exposed to 17-25 mM [K+], quantal size decreased within minutes. Release of comparable numbers of quanta by nerve stimulation did not decrease size. K(+)-solutions did not decrease size if Ca2+ was omitted or replaced with Sr2+. The phosphokinase C (PKC) activators phorbol 12,13-diacetate (PDA) and 1-oleoyl-2-acetyl-rac-glycerol (OAG) also decreased quantal size within minutes when applied in a hypertonic solution that increased the rate of spontaneous release. Phorbol 12,13-dideconate, which does not activate PKC, did not decrease quantal size. The size decrease triggered by K(+)-solutions or PKC activators was blocked by 100 microM 1-(5-isoquinolinyl-sulfonyl)-2-methyl-piperazine (H7), a protein kinase inhibitor. Apparently, increasing [K+] elevated intracellular [Ca2+], which activates PKC, and which leads to the down-regulation of quantal size. During the period in which size is decreasing, there appears to be large and normal subpopulations of MEPP sizes, with normal gradually replacing large. This suggests that large quanta are formed by adding additional ACh to preformed quanta shortly before they are available for release.     

Distinct quantal features of AMPA and NMDA synaptic currents in hippocampal neurons: implication of glutamate spillover and receptor saturation

Excitatory postsynaptic currents (EPSCs) were studied in the CA1 pyramidal cells of rat hippocampal slices. Components mediated by alpha-amino-3-hydroxy-5-methylisoxazole-4-proprionic acid (AMPA) and by N-methyl-D-aspartate (NMDA) receptors were separated pharmacologically. Quantal parameters of AMPA and NMDA receptor-mediated EPSCs were obtained using both maximal likelihood and autocorrelation techniques. Enhancement of transmitter release with 4-aminopyridine caused a significant increase in quantal size of NMDA EPSC. This was accompanied by a slowing of the EPSC decay. The maximal number of quanta in the NMDA current was unchanged, while the probability of quantal event dramatically enhanced. In contrast, neither the quantal size nor the kinetics of AMPA EPSC was altered by 4-aminopyridine, while the maximal number of quanta increased. These changes in the quantal parameters are consistent with a transition to multivesicular release of the neurotransmitter. Spillover of excessive glutamate on the nonsynaptic areas of dendritic spines causes an increase in the quantal size of NMDA synaptic current. The difference in quantal behavior of AMPA and NMDA EPSCs implies that different mechanisms underlie their quantization: the additive response of nonsaturated AMPA receptors contrasts with the variable involvement of saturated intrasynaptic and nonsaturated extrasynaptic NMDA receptors.     

Synaptophysin (p38) at the frog neuromuscular junction: its incorporation into the axolemma and recycling after intense quantal secretion

Recycling of synaptophysin (p38), a synaptic vesicle integral membrane protein, was studied by the use of antisera raised against the protein purified from frog brain. When frog cutaneous pectoris muscles were fixed at rest, a bright, specific immunofluorescent signal was observed in nerve-terminal regions only if their plasma membranes had been previously permeabilized. When muscles were fixed after they had been treated for 1 h with a low dose of alpha-latrotoxin in Ca2+-free medium, an equally intense fluorescence could be observed without previous permeabilization. Under this condition, alpha-latrotoxin depletes nerve terminals of their quantal store of acetylcholine and of synaptic vesicles. These results indicate that fusion of synaptic vesicles leads to the exposure of intravesicular antigenic determinants of synaptophysin on the outer surface of the axolemma, and provide direct support for the vesicle hypothesis of neurotransmitter release. After 1 h treatment with the same dose of alpha-latrotoxin in the presence of 1.8 mM extracellular Ca2+, immunofluorescent images were obtained only after permeabilization with detergents. Under this condition, the vesicle population was maintained by an active process of recycling and more than two times the initial store of quanta were secreted. Thus, despite the active turnover of synaptic vesicles and of quanta of neurotransmitter, no extensive intermixing occurs between components of the vesicle and presynaptic plasma membrane.     

Neurotransmitter release at rapid synapses

The classical concept of the vesicular hypothesis for acetylcholine (ACh) release, one quantum resulting from exocytosis of one vesicle, is becoming more complicated than initially thought. 1) synaptic vesicles do contain ACh, but the cytoplasmic pool of ACh is the first to be used and renewed on stimulation. 2) The vesicles store not only ACh, but also ATP and Ca(2+) and they are critically involved in determining the local Ca(2+) microdomains which trigger and control release. 3) The number of exocytosis pits does increase in the membrane upon nerve stimulation, but in most cases exocytosis happens after the precise time of release, while it is a change affecting intramembrane particles which reflects more faithfully the release kinetics. 4) The SNARE proteins, which dock vesicles close to Ca(2+) channels, are essential for the excitation-release coupling, but quantal release persists when the SNAREs are inactivated or absent. 5) The quantum size is identical at the neuromuscular and nerve-electroplaque junctions, but the volume of a synaptic vesicle is eight times larger in electric organ; at this synapse there is enough ACh in a single vesicle to generate 15-25 large quanta, or 150-200 subquanta. These contradictions may be only apparent and can be resolved if one takes into account that an integral plasmalemmal protein can support the formation of ACh quanta. Such a protein has been isolated, characterised and called mediatophore. Mediatophore has been localised at the active zones of presynaptic nerve terminals. It is able to release ACh with the expected Ca(2+)-dependency and quantal character, as demonstrated using mediatophore-transfected cells and other reconstituted systems. Mediatophore is believed to work like a pore protein, the regulation of which is in turn likely to depend on the SNARE-vesicle docking apparatus.     

Presynaptic receptors regulating the time course of neurotransmitter release from vertebrate nerve endings

A number of different types of presynaptic receptors was revealed in central and peripheral chemical synapses activated both by main mediator and co-mediators released simultaneously. Physiological significance and mechanisms of functioning of these receptors are not clear yet. They are assumed to provide negative or positive feedback decreasing or increasing the number of neurotransmitter quanta released in response to nerve impulse and thus regulating synaptic transmission. At the same time, there is one more way of secretion process modulation associated with the changes of timing of transmitter release. This mechanism was shown to contribute to the efficiency of synaptic transmission. The role of presynaptic receptors in regulation of the kinetics of quanta release is one of the interesting questions of modern neurophysiology. This paper overviews the results obtained by the authors that demonstrate the contribution of presynaptic receptors of different types into the regulation of temporal parameters of quantal secretion at the vertebrates neuromuscular junction. It was shown that activation of the cholinergic nicotinic receptors leads to a decrease of the amplitude of postsynaptic response not only due to reduction of the quantity of released quanta but also due to increased the level of asynchronous release. On the contrary, the facilitating effect of catecholamines on the neuromuscular synapse is the result of activation of presynaptic β₁-adrenoreceptors which leads to greater synchronization of release process and, consequently, to the increase of the amplitude of the postsynaptic response. Presynaptic purine receptors, involved in the modulation the intensity of secretion, are also capable of alteration of the time course of secretion. Activation of ryanodine receptors results in the increase of the number of quanta released with prolonged latencies leading to appearance of the phase of delayed asynchronous neurotransmitter release.     

A method for testing an extended poisson hypothesis of spontaneous quantal transmitter release at neuromuscular junctions

A statistical method for testing the Poisson hypothesis of spontaneous quantal transmitter release at neuromuscular junctions has been proposed. The notion of the Poisson hypothesis is extended so as to allow for nonstationarity in the data, since nonstationarity is commonly seen in the occurrence of spontaneous miniature potentials. Special emphasis has been put on the nonstationary analysis of the quantal release. A time scaling technique has been introduced and is discussed for the analysis. Artificially generated data, which simulate three types of nonstationary spontaneous quantal release, i.e., Poisson, non-Poisson-clustered, and non-Poisson-ordered types, were analyzed to demonstrate the effectiveness of the method. Some sets of miniature endplate potentials, intracellularly recorded at frog sartorius neuromuscular junctions in low Ca++ and high Mg++ solutions showing apparent nonstationarities, were analyzed as illustrative examples. The proposed method will extend the range of applicable data for the statistical analysis of spontaneous quantal transmitter release.     

Neurotransmitter release statistics: Moment estimates for inhomogeneous Bernoulli trials

Summary Evoked release of quanta of neurotransmitter is generally treated as a set of homogeneous, stationary Bernoulli trials, hence governed by the binomial distribution. Relaxing the assumptions of uniformity and stationarity leads to a more realistic physiological model of transmitter release but also introduces systematic biases in the moment estimates of the binomial parameters. We derive probability generating functions for quantal release and expressions for the moment estimates of ¯n and ¯p for a generalized model that incorporates temporal variation and nonuniformity in individual release probabilities and in numbers of release sites.     

Calcium modulation of the release kinetics of the acetylcholine quanta generating multiquantal postsynaptic response

The effects of calcium on the quantal content of nerve-evoked endplate currents (EPC) and on the temporal parameters of quantal release were studied in the frog neuromuscular synapse using the method of "subtractions". It was shown that under physiological conditions quanta generating multiquantal postsynaptic responses were released nonsynchronously because of a considerable variability of latencies of the uniquantal responses forming multiquantal EPC. Different calcium dependences for EPCs quantal content and time course of the quantal release were revealed. The average quantal content grew exponentially with the increase in calcium concentration from 0.4 to 1.8 mmol/L, whereas the release synchronicity reached the maximum at 1 mmol/L calcium. It was suggested that the changes in the synchronicity of the evoked release were one of the mechanisms of the synaptic plasticity.     

Quantum Characteristics of Neurotransmitter Release in GABA-ergic Synapses of Cultured Neurons of the Rat Spinal Cord

Using the whole-cell patch-clamp technique and stimulation of a single presynaptic terminal, we studied peculiarities of GABA release in inhibitory synapses of cultured neurons of the rat spinal cord. Analyzing the amplitude distributions of evoked inhibitory postsynaptic currents, we estimated the main quantum parameters of transmitter release. It was demonstrated that the minimum transmitter release in GABA-ergic synapses of spinal neurons cultured 9 to 11 days is multiquantum (packets containing at least 2 or 3 quanta). The distribution of the number of released quanta sufficiently agreed with that theoretically calculated according to the Poisson law. It is hypothesized that the minimum simultaneous two (three-)-quantum release of GABA in synapses of spinal neurons can be related to synchronous involvement of two closely adjacent excited terminals, each of which possesses one active zone, or of one terminal with two active zones.     

SLO-1 potassium channels control quantal content of neurotransmitter release at the C. elegans neuromuscular junction.

Six mutants of SLO-1, a large-conductance, Ca(2+)-activated K(+) channel of C. elegans, were obtained in a genetic screen for regulators of neurotransmitter release. Mutants were isolated by their ability to suppress lethargy of an unc-64 syntaxin mutant that restricts neurotransmitter release. We measured evoked postsynaptic currents at the neuromuscular junction in both wild-type and mutants and observed that the removal of SLO-1 greatly increased quantal content primarily by increasing duration of release. The selective isolation of slo-1 as the only ion channel mutant derived from a whole genomic screen to detect regulators of neurotransmitter release suggests that SLO-1 plays an important, if not unique, role in regulating neurotransmitter release.     

Redistribution of synaptophysin and synapsin I during alpha-latrotoxin- induced release of neurotransmitter at the neuromuscular junction

The distribution of two synaptic vesicle-specific phosphoproteins, synaptophysin and synapsin I, during intense quantal secretion was studied by applying an immunogold labeling technique to ultrathin frozen sections. In nerve-muscle preparations treated for 1 h with a low dose of alpha-latrotoxin in the absence of extracellular Ca2+ (a condition under which nerve terminals are depleted of both quanta of neurotransmitter and synaptic vesicles), the immunolabeling for both proteins was distributed along the axolemma. These findings indicate that, in the presence of a block of endocytosis, exocytosis leads to the permanent incorporation of the synaptic vesicle membrane into the axolemma and suggest that, under this condition, at least some of the synapsin I molecules remain associated with the vesicle membrane after fusion. When the same dose of alpha-latrotoxin was applied in the presence of extracellular Ca2+, the immunoreactivity patterns resembled those obtained in resting preparations: immunogold particles were selectively associated with the membrane of synaptic vesicles, whereas the axolemma was virtually unlabeled. Under this condition an active recycling of both quanta of neurotransmitter and vesicles operates. These findings indicate that the retrieval of components of the synaptic vesicle membrane is an efficient process that does not involve extensive intermixing between molecular components of the vesicle and plasma membrane, and show that synaptic vesicles that are rapidly recycling still have the bulk of synapsin I associated with their membrane.     

Timing of quantal release from the retinal bipolar terminal is regulated by a feedback circuit

In isolation, a presynaptic terminal generally releases quanta according to Poisson statistics, but in a circuit its release statistics might be shaped by synaptic interactions. We monitored quantal glutamate release from retinal bipolar cell terminals (which receive GABA-ergic feedback from amacrine cells) by recording spontaneous EPSCs (sEPSCs) in their postsynaptic amacrine and ganglion cells. In about one-third of these cells, sEPSCs were temporally correlated, arriving in brief bursts (10-55 ms) more often than expected from a Poisson process. Correlations were suppressed by antagonizing the GABA(C) receptor (expressed on bipolar terminals), and correlations were induced by raising extracellular calcium or osmolarity. Simulations of the feedback circuit produced "bursty" release when the bipolar cell escaped intermittently from inhibition. Correlations of similar duration were present in the light-evoked sEPSCs and spike trains of sluggish-type ganglion cells. These correlations were suppressed by antagonizing GABA(C) receptors, indicating that glutamate bursts from bipolar terminals induce spike bursts in ganglion cells.     

Probabilistic secretion of quanta from nerve terminals at synaptic sites on muscle cells: non-uniformity, autoinhibition and the binomial hypothesis

A model of the secretion of a quantum at a release site is proposed in which, following the influx of calcium ions, synaptic vesicles are made available for release by the activation of kappa phosphorylation steps with rate alpha. At any time during this process the vesicles may become unavailable for secretion at rate gamma. On completion of the kappa phosphorylation steps the vesicles participate in the formation of a fusion pore with the terminal membrane to give exocytosis at rate delta. Changes in alpha, delta and kappa are shown to produce characteristic changes in the number and timecourse of quantal secretions following a nerve impulse, which are similar to those observed following drug treatments that are thought to act selectively on each of these processes. The number of quanta secreted from nerve terminals that consist of many release sites does not fluctuate much during a low frequency train of impulses: the variance is small compared with the mean level, so secretion follows binomial rather than Poisson statistics. A theory is derived that shows that variations in the probability of secretion amongst these release sites of any particular kind fails to reduce the variance of the total secretion from the terminal; Poisson rather than binomial statistics then still apply. The theory shows that an interaction between release sites is required to reduce this variance and such an effect is provided if secretion at a site inhibits secretion at nearby sites. Simulations show that incorporating this process of autoinhibition into the model reproduces the experimental observations on the effects of calcium ions on the binomial parameters p and n as well as on the relative constancy of p during facilitation and depression of quantal secretion. Methods for estimating the timecourse of changes in the probability of secretion at release sites following an impulse, by using either the time of occurrence of first, second, third or later quantal latencies, are given. These procedures show that current methods for estimating the time-dependent probability changes are inadequate for detecting interaction between release sites, such as autoinhibition, unless this is relatively large. Therefore, estimates from third quantal latencies are used.     

Physiological properties of newly formed synapses between sympathetic preganglionic neurons and sympathetic ganglion neurons

We have examined the physiological properties of transmission at newly formed synapses between sympathetic preganglionic neurons and sympathetic ganglion neurons in vitro. Chick neurons were labeled with fluorescent carbocyanine dyes before they were placed into culture (Honig and Hume, 1986), and were studied by making intracellular recordings during the first 2 weeks of coculture. Evoked monosynaptic excitatory postsynaptic potentials (EPSPs) were not observed until 48 h of coculture. Beyond this time, the frequency with which connected pairs could be found did not vary greatly with time. With repetitive stimulation, the evoked monosynaptic EPSPs fluctuated in amplitude from trial to trial and showed depression at frequencies as low as 1 Hz. To gain further information about the quantitative properties of transmission at newly formed synapses, we analyzed the pattern of fluctuations of delayed release EPSPs. In mature systems, delayed release EPSPs are known to represent responses to single quanta, or to the synchronous release of a small number of quanta. For more than half of the connections we studied, the histograms of delayed release EPSPs were extremely broad. This result suggested that either quantal reponses are drawn from a continuous distribution that has a large coefficient of variation or that there are several distinct size classes of quantal responses. The pattern of fluctuation of monosynaptic EPSPs was consistent with both of these possibilities, and was inconsistent with the possibility that monosynaptic EPSPs are composed of quantal subunits with very little intrinsic variation. Although variation in the size of responses to single quanta might arise in a number of ways, one attractive explanation for our results is that the density and type of acetylcholine receptors varies among the different synaptic sites on the surface of developing sympathetic ganglion neurons.