Response of hippocampal synapses to natural stimulation patterns

We have studied the synaptic responses in hippocampal slices to stimulus patterns derived from in vivo recordings of place cell firing in a behaving rodent. We find that synaptic strength is strongly modulated during the presentation of these natural stimulus trains, varying 2-fold or more because of short-term plasticity. This modulation of synaptic strength is precise and deterministic, because the pattern of synaptic response amplitudes is nearly identical from one presentation of the train to the next. The mechanism of synaptic modulation is primarily a change in release probability rather than a change in the size of the elementary postsynaptic response. In addition, natural stimulus trains are effective in inducing long-term potentiation (LTP). We conclude that short-term synaptic plasticity--facilitation, augmentation, and depression--plays a prominent role in normal synaptic function.     

Pooled spike trains of correlated presynaptic inputs as realizations of cluster point processes

The pooled spike trains of correlated presynaptic terminals acting synchronously upon a single neuron are realizations of cluster point processes: the notions of spikes synchronizing in bursts and of points bunching in clusters are conceptually identical. The primary processes constituent specifies the timing of the cluster series; subsidiary processes and poolings specify burst structure and tightness. This representation and the Poisson process representation of independent terminals complete the formal approach to pooled trains. The notions usefulness was illustrated by expressing physiological questions in terms of those constituents, each possessing a clear biological embodiment; constituents provided the control variables in simulations using leaky integrate-and-fire postsynaptic neurons excited by multiple weak terminals. Regular or irregular primary processes and bursts series determined low or high postsynaptic dispersions. When convergent set synchrony increased, its postsynaptic consequences approached those of single powerful synapses; concomitantly, output spike trains approached periodic, quasiperiodic, or aperiodic behaviors. The sequence in which terminals fired within bursts affected the predictee and predictor roles of presynaptic and postsynaptic spikes; when inhibition was added, EPSP and IPSP delays and order were influential (summation was noncommutative). Outputs to different correlations were heterogeneous; heterogeneity was accentuated by conditioning by variables such as DC biases.     

A characterization of the time-rescaled gamma process as a model for spike trains

The occurrence of neuronal spikes may be characterized by not only the rate but also the irregularity of firing. We have recently developed a Bayes method for characterizing a sequence of spikes in terms of instantaneous rate and irregularity, assuming that interspike intervals (ISIs) are drawn from a distribution whose shape may vary in time. Though any parameterized family of ISI distribution can be installed in the Bayes method, the ability to detect firing characteristics may depend on the choice of a family of distribution. Here, we select a set of ISI metrics that may effectively characterize spike patterns and determine the distribution that may extract these characteristics. The set of the mean ISI and the mean log ISI are uniquely selected based on the statistical orthogonality, and accordingly the corresponding distribution is the gamma distribution. By applying the Bayes method equipped with the gamma distribution to spike sequences derived from different ISI distributions such as the log-normal and inverse-Gaussian distribution, we confirm that the gamma distribution effectively extracts the rate and the shape factor.     

Microclusters of inhibitory killer immunoglobulin-like receptor signaling at natural killer cell immunological synapses

We report the supramolecular organization of killer Ig–like receptor (KIR) phosphorylation using a technique applicable to imaging phosphorylation of any green fluorescent protein–tagged receptor at an intercellular contact or immune synapse. Specifically, we use fluorescence lifetime imaging (FLIM) to report Förster resonance energy transfer (FRET) between GFP-tagged KIR2DL1 and a Cy3-tagged generic anti-phosphotyrosine monoclonal antibody. Visualization of KIR phosphorylation in natural killer (NK) cells contacting target cells expressing cognate major histocompatibility complex class I proteins revealed that inhibitory signaling is spatially restricted to the immune synapse. This explains how NK cells respond appropriately when simultaneously surveying susceptible and resistant target cells. More surprising, phosphorylated KIR was confined to microclusters within the aggregate of KIR, contrary to an expected homogeneous distribution of KIR signaling across the immune synapse. Also, yellow fluorescent protein–tagged Lck, a kinase important for KIR phosphorylation, accumulated in a multifocal distribution at inhibitory synapses. Spatial confinement of receptor phosphorylation within the immune synapse may be critical to how activating and inhibitory signals are integrated in NK cells.     

The velocity filter,a system for recording and on line decomposition of complex extracellular spike trains by analog computing

Summary The velocity filter system consists of an electrode array (n electrodes), a set of analog delay circuits and a linear adder. When properly adjusted, the delays shift the recording signals of each electrode channel such that spikes of the same propagation direction and velocity are enhanced up ton-fold over the remaining signals. The influence of electrode parameters on the system's performance is investigated experimentally, and key design considerations are given. A working model (n=4) is described featuring a new type of en passant extracellular electrode array with low noise and good reproducibility. Recordings on the thoracal connectives of the stick insectAcrophylla wulfingii are presented demonstrating the expected performance of the system. A velocity resolution ofV/V=15% was achieved. An experimental example of the automatic decomposition of overlapping spike complexes is presented. The system is capable to work on line in real time without the need of templates and computers. Once adjusted, the system can select spikes of specified conduction velocities from overlapping complexes continuously in real time without intervention of an operator, and thus decompose overlapping complexes automatically. Already in the present state of development, applications in invertebrate and vertebrate electrophysiology are possible.     

Spatial and temporal correlations of spike trains in frog retinal ganglion cells

For a neuron, firing activity can be in synchrony with that of others, which results in spatial correlation; on the other hand, spike events within each individual spike train may also correlate with each other, which results in temporal correlation. In order to investigate the relationship between these two phenomena, population neurons’ activities of frog retinal ganglion cells in response to binary pseudo-random checker-board flickering were recorded via a multi-electrode recording system. The spatial correlation index (SCI) and temporal correlation index (TCI) were calculated for the investigated neurons. Statistical results showed that, for a single neuron, the SCI and TCI values were highly related—a neuron with a high SCI value generally had a high TCI value, and these two indices were both associated with burst activities in spike train of the investigated neuron. These results may suggest that spatial and temporal correlations of single neuron’s spiking activities could be mutually modulated; and that burst activities could play a role in the modulation. We also applied models to test the contribution of spatial and temporal correlations for visual information processing. We show that a model considering spatial and temporal correlations could predict spikes more accurately than a model does not include any correlation.     

神经放电序列模式的一种识别方法及应用

提出了神经放电序列模式识别的一种新方法。首先,把放电序列用阶梯状的响应函数来表示,然后定义了其一阶、二阶形式导数以及形式积分。这三个特征量均有着不同的几何和物理意义,因此采用这三个特征量来刻画神经放电序列的模式,就可以较全面地表示其特征。对神经放电序列的重构也表明通过这几个特征量可以很好地反映序列中所包含的信息。作为应用例子,这种量化方法用来研究冷热感受器模型所产生的放电模式,结果表明它能够识别在不同温度条件下的放电模式。     

Noise-induced burst and spike synchronizations in an inhibitory small-world network of subthreshold bursting neurons

We are interested in noise-induced firings of subthreshold neurons which may be used for encoding environmental stimuli. Noise-induced population synchronization was previously studied only for the case of global coupling, unlike the case of subthreshold spiking neurons. Hence, we investigate the effect of complex network architecture on noise-induced synchronization in an inhibitory population of subthreshold bursting Hindmarsh–Rose neurons. For modeling complex synaptic connectivity, we consider the Watts–Strogatz small-world network which interpolates between regular lattice and random network via rewiring, and investigate the effect of small-world connectivity on emergence of noise-induced population synchronization. Thus, noise-induced burst synchronization (synchrony on the slow bursting time scale) and spike synchronization (synchrony on the fast spike time scale) are found to appear in a synchronized region of the J–D plane (J: synaptic inhibition strength and D: noise intensity). As the rewiring probability p is decreased from 1 (random network) to 0 (regular lattice), the region of spike synchronization shrinks rapidly in the J–D plane, while the region of the burst synchronization decreases slowly. We separate the slow bursting and the fast spiking time scales via frequency filtering, and characterize the noise-induced burst and spike synchronizations by employing realistic order parameters and statistical-mechanical measures introduced in our recent work. Thus, the bursting and spiking thresholds for the burst and spike synchronization transitions are determined in terms of the bursting and spiking order parameters, respectively. Furthermore, we also measure the degrees of burst and spike synchronizations in terms of the statistical-mechanical bursting and spiking measures, respectively.     

Excitatory and inhibitory interactions in localized populations of model neurons

Coupled nonlinear differential equations are derived for the dynamics of spatially localized populations containing both excitatory and inhibitory model neurons. Phase plane methods and numerical solutions are then used to investigate population responses to various types of stimuli. The results obtained show simple and multiple hysteresis phenomena and limit cycle activity. The latter is particularly interesting since the frequency of the limit cycle oscillation is found to be a monotonic function of stimulus intensity. Finally, it is proved that the existence of limit cycle dynamics in response to one class of stimuli implies the existence of multiple stable states and hysteresis in response to a different class of stimuli. The relation between these findings and a number of experiments is discussed.     

A test of maternal human chorionic gonadotropin during pregnancy as an adaptive filter of human gestations

The risk of abnormalities and morbidity among live births increases with advanced maternal age. Explanations for this elevated morbidity invoke several maternal mechanisms. The relaxed filter stringency (RFS) hypothesis asserts that mothers, nearing the end of their reproductive lifespan, reduce the stringency of a screen of offspring quality in utero based on life-history traits of parity and interbirth interval (IBI). A separate line of research implicates human chorionic gonadotropin (hCG) during pregnancy as a signal of offspring quality. We test the RFS hypothesis directly by examining whether the difference in gestational hCG across consecutive live births varies positively with the mother''s number of previous live births but inversely with her most recent IBI. We applied multivariable regression methods to a unique dataset of gestational hCG for over 500 000 live births from 2002 to 2007. The difference in gestational hCG across mothers'' consecutive live births varies positively with both mothers'' parity and IBI. These associations remain similar among older mothers (35+ years). Findings support the RFS hypothesis for the parity expectation but not for the IBI expectation. Further evidence for the RFS hypothesis among contemporary human gestations would have to invoke screening mechanisms other than hCG.     

Beyond spike timing: the role of nonlinear plasticity and unreliable synapses

 Spike-timing-dependent plasticity (STDP) strengthens synapses that are activated immediately before a postsynaptic spike, and weakens those that are activated after a spike. To prevent an uncontrolled growth of the synaptic strengths, weakening must dominate strengthening for uncorrelated spike times. However, this weight-normalization property would preclude Hebbian potentiation when the pre- and postsynaptic neurons are strongly active without specific spike-time correlations. We show that nonlinear STDP as inherent in the data of Markram et al. [(1997) Science 275:213–215] can preserve the benefits of both weight normalization and Hebbian plasticity, and hence can account for learning based on spike-time correlations and on mean firing rates. As examples we consider the moving-threshold property of the Bienenstock–Cooper–Munro rule, the development of direction-selective simple cells by changing short-term synaptic depression, and the joint adaptation of axonal and dendritic delays. Without threshold nonlinearity at low frequencies, the development of direction selectivity does not stabilize in a natural stimulation environment. Without synaptic unreliability there is no causal development of axonal and dendritic delays. Received: 22 April 2002 / Accepted: 23 May 2002 Acknowledgements. This study was supported by the Swiss National Science Foundation (grant 3152-065234.01) and the Silva-Casa foundation. The author thanks Stefano Fusi, Henry Markram, and Misha Tsodyks for helpful discussions, Nissim Buchs and Martin Schneider for their simulations, and Jan Reutimann for proof reading. Correspondence to: e-mail: wsenn@cns.unibe.ch, Tel.: +41-31-6318721, Fax: 41-31-6314611     

Effects of extracellular concentration of calcium and intensity of stimulation on short-term plasticity in single inhibitory synapses between cultured hippocampal neurons

We studied the characteristics of short-term plasticity in inhibitory synapses of cultured neurons of the rat hippocampus. In our experiments, we used techniques of voltage clamp in the whole-cell configuration and of local electrical stimulation (pairs of stimuli were applied to a single synaptic terminal of the GABA-ergic neuron under conditions of the blockade of spreading excitation). We demonstrated that an increase or a decrease in the extracellular concentration of calcium ions ([Ca²⁺]_o) results in modifications of the pattern of this plasticity. Depression of the second postsynaptic response under conditions of normal [Ca²⁺]_o was characterized by a paired-pulse ratio (PPR) equal, on average, to 0.78 ± 0.04 (n = 5). With a decrease in the [Ca²⁺]_o to 0.5 mM, depression was changed to facilitation (PPR = 1.17 ± 0.08, n = 5), while with a rise in the [Ca²⁺]_o to 5.0 mM, depression became more clearly pronounced (PPR = 0.48 ± 0.03, n = 5). Alterations of responses, which were determined by a decrease or an increase in the [Ca²⁺]_o, differed significantly from those related to a decrease or an increase in the amplitude of presynaptic stimulation. Analysis of the parameters of the pairs of evoked inhibitory postsynaptic currents under conditions of various [Ca²⁺]_o and different intensities of stimulation of the presynaptic terminal allows us to conclude that in these terminals calcium-dependent (and, probably, also voltage-dependent) mechanisms underlying control of short-term synaptic plasticity are present. Neirofiziologiya/Neurophysiology, Vol. 38, No. 2, pp. 103–112, March–April, 2006.     

Differential coding of humoral stimuli by timing and amplitude of intracellular calcium spike trains

The ubiquitous Ca2(+)-phosphoinositide pathway transduces extracellular signals to cellular effectors. Using a mathematical model, we simulated intracellular Ca2+ fluctuations in hepatocytes upon humoral stimulation. We estimated the information encoded about random humoral stimuli in these Ca2+ spike trains using an information-theoretic approach based on stimulus estimation methods. We demonstrate accurate transfer of information about random humoral signals with low temporal cutoff frequencies. In contrast, our results suggest that high-frequency stimuli are poorly transduced by the transmembrane machinery. We found that humoral signals are encoded in both the timing and amplitude of intracellular Ca2+ spikes. The information transmitted per spike is similar to that of sensory neuronal systems, in spite of several orders of magnitude difference in firing rate.     

Effects of two elongation factor 1A isoforms on the formation of gephyrin clusters at inhibitory synapses in hippocampal neurons

Postsynaptic receptor scaffold proteins play an important role for concentrating receptor molecules in postsynaptic membranes of central nervous system synapses. In particular, clustering of glycine receptors and different types of GABA_A-receptors depends on the scaffold protein gephyrin, which is thought to anchor these receptors to the cytoskeleton. Eukaryotic elongation factor 1A (eEF1A) is a component of the protein synthesis machinery. In addition, it binds and bundles actin and was shown to interact with microtubules. Therefore, it might be involved in regulating the cytoskeletal dynamics in neurons and thereby modulate receptor cluster formation and/or maintenance. In this study, we demonstrate partial colocalization of gephyrin and F-actin along filamentous structures in rat hippocampal neurons. Overexpression of eEF1A in cultured hippocampal neurons results in a significant increase in number, size and density of postsynaptic gephyrin clusters after 21 days in vitro. These findings suggest that eEF1A contributes to the morphology of postsynaptic membrane specializations at inhibitory synapses.     

Analysis,classification, and coding of multielectrode spike trains with hidden Markov models

It is shown that hidden Markov models (HMMs) are a powerful tool in the analysis of multielectrode data. This is demonstrated for a 30-electrode measurement of neuronal spike activity in the monkey's visual cortex during the application of different visual stimuli. HMMs with optimized parameters code the information contained in the spatiotemporal discharge patterns as a probabilistic function of a Markov process and thus provide abstract dynamical models of the pattern-generating process. We compare HMMs obtained from vector-quantized data with models in which parametrized output processes such as multivariate Poisson or binomial distributions are assumed. In the latter cases the visual stimuli are recognized at rates of more than 90% from the neuronal spike patterns. An analysis of the models obtained reveals important aspects of the coding of information in the brain. For example, we identify relevant time scales and characterize the degree and nature of the spatiotemporal variations on these scales.