Coarse-Grained Clustering Dynamics of Heterogeneously Coupled Neurons

We study a population of spiking neurons which are subject to independent noise processes and a strong common time-dependent input. We show that the response of output spikes to independent noise shapes information transmission of such populations even when information transmission properties of single neurons are left unchanged. In particular, we consider two Poisson models in which independent noise either (i) adds and deletes spikes (AD model) or (ii) shifts spike times (STS model). We show that in both models suprathreshold stochastic resonance (SSR) can be observed, where the information transmitted by a neural population is increased with addition of independent noise. In the AD model, the presence of the SSR effect is robust and independent of the population size or the noise spectral statistics. In the STS model, the information transmission properties of the population are determined by the spectral statistics of the noise, leading to a strongly increased effect of SSR in some regimes, or an absence of SSR in others. Furthermore, we observe a high-pass filtering of information in the STS model that is absent in the AD model. We quantify information transmission by means of the lower bound on the mutual information rate and the spectral coherence function. To this end, we derive the signal–output cross-spectrum, the output power spectrum, and the cross-spectrum of two spike trains for both models analytically.     

Rate maintenance and resonance in the entorhinal cortex

Throughout the brain, neurons encode information in fundamental units of spikes. Each spike represents the combined thresholding of synaptic inputs and intrinsic neuronal dynamics. Here, we address a basic question of spike train formation: how do perithreshold synaptic inputs perturb the output of a spiking neuron? We recorded from single entorhinal principal cells in vitro and drove them to spike steadily at ～5 Hz (theta range) with direct current injection, then used a dynamic‐clamp to superimpose strong excitatory conductance inputs at varying rates. Neurons spiked most reliably when the input rate matched the intrinsic neuronal firing rate. We also found a striking tendency of neurons to preserve their rates and coefficients of variation, independently of input rates. As mechanisms for this rate maintenance, we show that the efficacy of the conductance inputs varied with the relationship of input rate to neuronal firing rate, and with the arrival time of the input within the natural period. Using a novel method of spike classification, we developed a minimal Markov model that reproduced the measured statistics of the output spike trains and thus allowed us to identify and compare contributions to the rate maintenance and resonance. We suggest that the strength of rate maintenance may be used as a new categorization scheme for neuronal response and note that individual intrinsic spiking mechanisms may play a significant role in forming the rhythmic spike trains of activated neurons; in the entorhinal cortex, individual pacemakers may dominate production of the regional theta rhythm.     

Differential effects of pentobarbital and ether on the synaptic transmission of the hippocampal CA1 region in the rat

The effect of ether and sodium pentobarbital on the synaptic transmission of the hippocampal CA1 region was studied in chronically implanted rats. Animal behavior, EEG, and the average evoked potentials (AEPs) following electrical stimulation of the alveus or the stratum radiatum in the CA1 region were recorded. Components of the AEPs, interpreted previously as generated by population excitatory postsynaptic potentials (EPSPs), population inhibitory postsynaptic potentials (IPSPs) (Leung 1979a, b, c) or population postsynaptic spikes (Andersen et al. 1971), were differentially sensitive to ether or pentobarbital. Ether reduced the population EPSPs and population spike evoked at all intensities tested (1-4 X threshold); the population IPSP was slightly enhanced at intermediate stimulus intensities. Pentobarbital suppressed the population EPSP evoked by alvear stimulation but not that by radiatum stimulation, reduced the population spike and greatly enhanced and prolonged the population IPSP evoked at low stimulus intensities. At high stimulus intensities, the IPSP was interpreted to be smaller after pentobarbital but neuronal output from the hippocampal CA1 region, as seen from the evoked population spike, remained attenuated. It is concluded that ether and pentobarbital both suppress hippocampal neuronal excitability but the effect of anesthesia differs for different anesthetics, for different synapses and for different levels of activity in the input fibers.     

Electroconvulsive treatment reduces long-term potentiation in rat hippocampus

The effect of repeated electroconvulsive treatment (ECT) was investigated on long-term potentiation (LTP) in the rat hippocampal slice. Extracellular, recordings of population spikes and excitatory postsynaptic potentials (EPSP) were made from the pyramidal cell layer of CA1 in response to stimulation of the stratum radiatum. LTP was induced by 5 high-frequency trains of stimuli. ECT (10 treatments, 1 treatment every day for 20 days) markedly inhibited LTP of the population spike and EPSP. Thus LTP of the 25% maximum population spike was 104% in control, and 20% in rats 24 h after ECT. LTP of the EPSP was 35% in control and 12% after ECT.     

STD-Dependent and Independent Encoding of Input Irregularity as Spike Rate in a Computational Model of a Cerebellar Nucleus Neuron

Neurons in the cerebellar nuclei (CN) receive inhibitory inputs from Purkinje cells in the cerebellar cortex and provide the major output from the cerebellum, but their computational function is not well understood. It has recently been shown that the spike activity of Purkinje cells is more regular than previously assumed and that this regularity can affect motor behaviour. We use a conductance-based model of a CN neuron to study the effect of the regularity of Purkinje cell spiking on CN neuron activity. We find that increasing the irregularity of Purkinje cell activity accelerates the CN neuron spike rate and that the mechanism of this recoding of input irregularity as output spike rate depends on the number of Purkinje cells converging onto a CN neuron. For high convergence ratios, the irregularity induced spike rate acceleration depends on short-term depression (STD) at the Purkinje cell synapses. At low convergence ratios, or for synchronised Purkinje cell input, the firing rate increase is independent of STD. The transformation of input irregularity into output spike rate occurs in response to artificial input spike trains as well as to spike trains recorded from Purkinje cells in tottering mice, which show highly irregular spiking patterns. Our results suggest that STD may contribute to the accelerated CN spike rate in tottering mice and they raise the possibility that the deficits in motor control in these mutants partly result as a pathological consequence of this natural form of plasticity.     

Spike resonance properties in hippocampal O-LM cells are dependent on refractory dynamics

During a wide variety of behaviors, hippocampal field potentials show significant power in the theta (4-12 Hz) frequency range and individual neurons commonly phase-lock with the 4-12 Hz field potential. The underlying cellular and network mechanisms that generate the theta rhythm, however, are poorly understood. Oriens-lacunosum moleculare (O-LM) interneurons have been implicated as crucial contributors to generating theta in local hippocampal circuits because of their unique axonal projections, slow synaptic kinetics and the fact that spikes are phase-locked to theta field potentials in vivo. We performed experiments in brain slice preparations from Long-Evans rats to investigate the ability of O-LM cells to generate phase-locked spike output in response to artificial synaptic inputs. We find that O-LM cells do not respond with any preference in spike output at theta frequencies when injected with broadband artificial synaptic inputs. However, when presented with frequency-modulated inputs, O-LM spike output shows the ability to phase-lock well to theta-modulated inputs, despite their strong low-pass profiles of subthreshold membrane impedance. This result was dependent on spike refractory dynamics and could be controlled by real-time manipulation of the postspike afterhyperpolarization. Finally, we show that the ability of O-LM cells to phase-lock well to theta-rich inputs is independent of the h-current, a membrane mechanism often implicated in the generation of theta frequency activity.     

Dynamics of information and emergent computation in generic neural microcircuit models

Numerous methods have already been developed to estimate the information contained in single spike trains. In this article we explore efficient methods for estimating the information contained in the simultaneous firing activity of hundreds of neurons. Obviously such methods are needed to analyze data from multi-unit recordings. We test these methods on generic neural microcircuit models consisting of 800 neurons, and analyze the temporal dynamics of information about preceding spike inputs in such circuits. It turns out that information spreads with high speed in such generic neural microcircuit models, thereby supporting—without the postulation of any additional neural or synaptic mechanisms—the possibility of ultra-rapid computations on the first input spikes.     

Input-output relations in the entorhinal-hippocampal-entorhinal loop: Entorhinal cortex and dentate gyrus

The pattern of impulse transfer along the entorhinal-hippocampal-entorhinal loop has been analyzed in the guinea pig by field potential analysis. The loop was driven by impulse volleys conducted by presubicular commissural fibers, directly stimulated in the dorsal psalterium, which monosynaptically activated perforant path neurons in the medial entorhinal cortex. Perforant path volleys activated in sequence the dentate gyrus, field CA3, field CA1, subiculum, and entorhinal cortex. Input-output curves were reconstructed from responses simultaneously recorded from different stations along the loop. The entorhinal response to the presubicular volley was found to increase gradually with respect to its input. The population excitatory postsynaptic potential (EPSP) of the dentate gyrus granule cells had a similar behavior. By contrast, the input-output relation between the granule cell population spike and population EPSP was described by a very steep sigmoid curve. The population spike of CA3 and CA1 pyramidal neurons as well as the response evoked in the entorhinal cortex by the hippocampal output had slightly higher threshold than the granule cell population spike and, like the latter, abruptly reached maximum amplitude. These findings show that the entorhinal-hippocampal-entorhinal loop transforms a linear input in a non-linear, almost all-or-none output and that the dentate gyrus is the critical site where the transformation occurs. Beyond the dentate gyrus, the loop appears very permeant to impulse traffic. © 1995 Wiley-Liss, Inc.     

Distinct classes of pyramidal cells exhibit mutually exclusive firing patterns in hippocampal area CA3b

It is thought that CA3 pyramidal neurons communicate mainly through bursts of spikes rather than so-called trains of regular firing action potentials. Reports of both burst firing and nonburst firing CA3 cells suggest that they may fire with more than one output pattern. With the use of whole-cell recording methods we studied the firing properties of rat hippocampal pyramidal neurons in vitro within the CA3b subregion and found three distinct types of firing patterns. Approximately 37% of cells were regular firing where spikes generated by minimal current injection (rheobase) were elicited with a short latency and with stronger current intensities trains of spikes exhibited spike frequency adaptation (SFA). Another 46% of neurons exhibited a delayed onset at rheobase with a weakly-adapting firing pattern upon stronger stimulation. The remaining 17% of cells showed a burst-firing pattern, though only elicited in response to strong current injection and spontaneous bursts were never observed. Control experiments indicated that the distinct firing patterns were not due to our particular slicing methods or recording techniques. Finally, computer modeling was used to identify how relative differences in K+ conductances, specifically K(C), K(M), and K(D), between cells contribute to the different characteristics of the three types of firing patterns observed experimentally.     

Schaffer-specific local field potentials reflect discrete excitatory events at gamma frequency that may fire postsynaptic hippocampal CA1 units

Information processing and exchange between brain nuclei are made through spike series sent by individual neurons in highly irregular temporal patterns. Synchronization in cell assemblies, proposed as a network language for internal neural representations, still has little experimental support. We use a novel technique to extract pathway-specific local field potentials (LFPs) in the hippocampus to explore the ongoing temporal structure of a single presynaptic input, the CA3 Schaffer pathway, and its contribution to the spontaneous output of CA1 units in anesthetized rat. We found that Schaffer-specific LFPs are composed of a regular succession of pulse-like excitatory packages initiated by spontaneous clustered firing of CA3 pyramidal cells to which individual units contribute variably. A fraction of these packages readily induce firing of CA1 pyramidal cells and interneurons, the so-called Schaffer-driven spikes, revealing the presynaptic origin in the output code of single CA1 units. The output of 70% of CA1 pyramidal neurons contains up to 10% of such spikes. Our results suggest a hierarchical internal operation of the CA3 region based on sequential oscillatory activation of pyramidal cell assemblies whose activity partly gets in the output code at the next station. We conclude that CA1 output may directly reflect the activity of specific ensembles of CA3 neurons. Thus, the fine temporal structure of pathway-specific LFPs, as an accurate readout of the activity of a presynaptic population, is useful in searching for hidden presynaptic code in irregular spikes series of individual neurons and assemblies.     

Absence of long-term potentiation in the subcortically deafferented dentate gyrus

All subcortical afferents to the dorsal hippocampus, running in the fimbria-fornix and supracallosal path, were removed by aspiration. Three to 5 months later the rats were implanted with chronic recording electrodes in the dentate gyrus and CA1 region, and stimulating electrodes in the angular bundle. In non-lesioned rats, high-frequency trains delivered to the angular bundle gave rise to a sustained increase of the evoked population spike in the dentate gyrus. In lesioned animals, high-frequency stimulation resulted in only short-lasting changes, and by 15 min after the conditioning trains the amplitude of both the population spike and field postsynaptic potentials returned to baseline. In lesioned rats large amplitude interictal spikes (less than 40 ms, 3-8 mV) occurred spontaneously. These findings suggest that either (1) coactivation of entorhinal and subcortical inputs is essential for the induction of long-lasting plastic changes in the dentate gyrus, or (2) the long-term potentiation mechanism is saturated by the chronically occurring interictal discharges in the subcortically denervated dentate gyrus.     

Short-term plasticity optimizes synaptic information transmission

Short-term synaptic plasticity (STP) is widely thought to play an important role in information processing. This major function of STP has recently been challenged, however, by several computational studies indicating that transmission of information by dynamic synapses is broadband, i.e., frequency independent. Here we developed an analytical approach to quantify time- and rate-dependent synaptic information transfer during arbitrary spike trains using a realistic model of synaptic dynamics in excitatory hippocampal synapses. We found that STP indeed increases information transfer in a wide range of input rates, which corresponds well to the naturally occurring spike frequencies at these synapses. This increased information transfer is observed both during Poisson-distributed spike trains with a constant rate and during naturalistic spike trains recorded in hippocampal place cells in exploring rodents. Interestingly, we found that the presence of STP in low release probability excitatory synapses leads to optimization of information transfer specifically for short high-frequency bursts, which are indeed commonly observed in many excitatory hippocampal neurons. In contrast, more reliable high release probability synapses that express dominant short-term depression are predicted to have optimal information transmission for single spikes rather than bursts. This prediction is verified in analyses of experimental recordings from high release probability inhibitory synapses in mouse hippocampal slices and fits well with the observation that inhibitory hippocampal interneurons do not commonly fire spike bursts. We conclude that STP indeed contributes significantly to synaptic information transfer and may serve to maximize information transfer for specific firing patterns of the corresponding neurons.     

Effect of low glucose concentration on synaptic transmission in the rat hippocampal slice

Severe hypoglycemia in vivo is known to slow down the EEG, then to produce complete electrical silence in the brain. To find out why low glucose concentrations reduce electrical activity, synaptic transmission from Schaffer collateral/commissural fibers to CA1 pyramidal cells in the submerged rat hippocampal slice was investigated using extracellular recording techniques. Superfusion for 30 min with 1 mM glucose reversibly reduced population spike amplitude, without affecting the size of the presynaptic volley and the slope of the field EPSP. Lower glucose concentrations also affected the EPSP, although to a lesser extent than the population spike. Antidromic population spikes were not decreased by low glucose. Depolarization with 8-10 mM K+ reduced both presynaptic volley amplitude and EPSP, but enhanced the population spike, an effect clearly different from that of low glucose. The slope of the input/output curve between presynaptic volley and EPSP remained unaltered in 1 mM glucose but the slope between EPSP and population spike was reduced by about 50%. Results suggest that low glucose concentrations interrupt synaptic transmission by reducing, but not abolishing, the excitability of pyramidal cells.     

A hypoxic injury potential in the hippocampal slice

In rat hippocampal slices, neurons in the stratum pyramidale of the CA1 were stimulated orthodromically and antidromically while the resultant extracellular population spikes were monitored. Hypoxic conditions were then induced. After disappearance of the orthodromic population spike, a second orthodromic population spike appeared. We have titled this the hypoxic injury potential since it reflects the onset of permanent injury to neurons in area CA1 of the hippocampus.     

Neocortical pyramidal cells: a model with dendritic calcium conductance reproduces repetitive firing and epileptic behavior

A computer model of a neocortical pyramidal cell has been constructed using ideas similar to those used for hippocampal pyramidal cells. This model has been applied to the study of (a) repetitive firing, and (b) the paroxysmal depolarizing shift (PDS), an important intracellular event during seizures. Although calcium spikes have not been demonstrated directly in neocortical cells, we have postulated (by analogy with hippocampal pyramidal cells) a dendritic calcium conductance and a 'slow potassium' conductance modulated by intracellular calcium ion. With these dendritic ionic conductances, the model is able to reproduce the following experimental features of neocortical pyramidal cells: the afterdepolarization and succeeding afterhyperpolarization after an antidromic spike, and the f-I (firing rate-injected current) curve. Some of the differences between 'fast' and 'slow' pyramidal tract neurons (PTNs) -- narrower spikes and a steeper f-I curve in the fast PTNs -- may be explained by differences in Hodgkin-Huxley potassium kinetics between the two kinds of cell. The same model which faithfully reproduces repetitive firing behavior also reproduces (given appropriate synaptic inputs) the following intracellular events recording during epileptic seizures: (a) a burst of action potentials superimposed on and followed by a PDS, and (b) rapid repetitive firing succeeded by an IPSP. Thus, a single set of parameters can reporduce both normal physiological behavior and 'epileptic' behavior: the particular behavior seen depending on how the cell is stimulated. This overall result is the same as for our model of the CA1 hippocampal cell. It suggests that certain acutely acting epileptogenic agents, e.g. penicillin, may act by increasing synaptic input (perhaps both excitatory and inhibitory) to pyramidal cells, rather than by altering their membrane properties. As in our CA1 hippocampal cell model, bursting seems to be a phenomenon generated by the apical dendrite.     

The effect of picrotoxin and the duration of conditioning on the induction of associative long-term potentiation in field CA1 of the mouse hippocampus in vitro

Field potentials were recorded from stratum radiation of CA1 region of mouse hippocampal slices in response to distal Schaffer collateral stimulation (S2). Associative long-term potentiation (ALTP) was induced by simultaneous tetanization of C2 together with proximal Schaffer collateral tetanization (C1). Effects of simultaneous (C1 and C2) and successive (C1 precedes C2 for 200 ms) activation of two inputs were compared. Tetanizations with a foregoing activation of Cl ("conditioning" input) were more effective in experiments with short (30 ms, 100 Hz) trains of pulses. Simultaneous activation of two inputs was more effective when S1 input was tetanized with long (150 ms) trains or synaptic inhibition was blocked by picrotoxin (5.10(-6mM). It is suggested that ALTP induced by short trains of pulses with intervals of 200 ms is a more adequate model of memory than that induced by long-lasting tetanic trains.     

The reconstruction of individual spike trains from extracellular multineuron recordings using a neural network emulation program

A method for the reconstruction of the individual spike trains from extracellular multineuron recordings is described. A neural network emulation program is trained to recognize a sample set of digitized spikes. The digitized spikes are fed into the neural network, and the network output is used to classify spikes in terms of the training set. The system runs on any PC and its speed makes is especially well suited for the analysis of large amounts of data.     

Increased postsynaptic excitability in hippocampal slices from the tottering epileptic mutant mouse

The tottering mouse exhibits an inherited form of generalized epilepsy, which can be characterized by electroencephalographic, behavioral and pharmacological criteria as belonging to the 'absence' type. In vitro electrophysiological experiments in hippocampal slices revealed a higher than normal postsynaptic excitability in slices from epileptic mice. Upon stimulation of Schaffer collaterals, we obtained input/output curves from the CA1 pyramidal cell layer and determined several indices of synaptic activation and postsynaptic excitability. Only the latter were found to be statistically different: population spikes were elicited by relatively smaller field EPSPs (P less than 0.001) in the slices from epileptic mice. However, their maximum population spike was significantly smaller, which indicated that fewer neurons were available for firing. In the normal but not in the epileptic mice in vitro postsynaptic excitability was correlated to the age of the animal.     

Stochastic description of complex and simple spike firing in cerebellar Purkinje cells

Cerebellar Purkinje cells generate two distinct types of spikes, complex and simple spikes, both of which have conventionally been considered to be highly irregular, suggestive of certain types of stochastic processes as underlying mechanisms. Interestingly, however, the interspike interval structures of complex spikes have not been carefully studied so far. We showed in a previous study that simple spike trains are actually composed of regular patterns and single interspike intervals, a mixture that could not be explained by a simple rate-modulated Poisson process. In the present study, we systematically investigated the interspike interval structures of separated complex and simple spike trains recorded in anaesthetized rats, and derived an appropriate stochastic model. We found that: (i) complex spike trains do not exhibit any serial correlations, so they can effectively be generated by a renewal process, (ii) the distribution of intervals between complex spikes exhibits two narrow bands, possibly caused by two oscillatory bands (0.5-1 and 4-8 Hz) in the input to Purkinje cells and (iii) the regularity of regular patterns and single interspike intervals in simple spike trains can be represented by gamma processes of orders, which themselves are drawn from gamma distributions, suggesting that multiple sources modulate the regularity of simple spike trains.     

Somatosensory stimulation suppresses the excitability of pyramidal cells in the hippocampal CA1 region in rats

The hippocampal region of the brain is important for encoding environment inputs and memory formation. However, the underlying mechanisms are unclear. To investigate the behavior of indi-vidual neurons in response to somatosensory inputs in the hippocampal CA1 region, we recorded and analyzed changes in local ifeld potentials and the ifring rates of individual pyramidal cells and interneurons during tail clamping in urethane-anesthetized rats. We also explored the mechanisms underlying the neuronal responses. Somatosensory stimulation, in the form of tail clamping, chan-ged local ifeld potentials into theta rhythm-dominated waveforms, decreased the spike ifring of py-ramidal cells, and increased interneuron ifring. In addition, somatosensory stimulation attenuated orthodromic-evoked population spikes. These results suggest that somatosensory stimulation sup-presses the excitability of pyramidal cells in the hippocampal CA1 region. Increased inhibition by local interneurons might underlie this effect. These ifndings provide insight into the mechanisms of signal processing in the hippocampus and suggest that sensory stimulation might have thera-peutic potential for brain disorders associated with neuronal hyperexcitability.