Neuronal firing patterns in the feline hippocampus during sleep and wakefulness

Presence of ghost doublets of coded neuronal patterns: relation to synaptic memory storage

Recent evidence demonstrates that controlled visual stimuli cause the generation, in the primary visual cortex of rhesus monkey cells, of large numbers of very precisely replicating copies of complex patterns of discharge consisting of three or more spikes, the patterns of which presumedly code for specific qualities of the stimuli presented. We present evidence that the copies of precisely replicating triplets of spikes, generally not exceeding 100 ms in duration, occur in close time proximity to many copies of highly precise "ghost" doublets. These doublets are defined as patterns consisting of two pulses, with precise separations in time, specifically those that would be generated if any one of the pulses making up a given replicating triplet were missing. In striking contrast, nonreplicating triplets (also present in these records)--that is, triplets made up of intervals that are not present in replicating triplets--are not accompanied by such ghost doublets. The persistence (memory) of capacity to produce such ghost doublets decays according to two independent kinetic rules. The first of these results in the disappearance of such doublets within about 0.1 s as measured by two independent methods, whereas the second disappears only after several minutes or longer. These results provide strong evidence consistent with the notion that at least some parts of the brain transmit, store representations of, and retrieve qualitative information through the use of a code consisting of specific patterns of nerve discharges in time.

Evidence for chaos in spike trains of neurons that generate rhythmic motor patterns

The findings presented here of work on the opisthobranch mollusc Pleurobranchaea californica indicate that some of the variability that has been observed in the activity of neurons during patterned motor activity may be attributable to low-dimensional chaos. We obtained long trains of action potentials (spikes) from these neurons, scanned them using adjacent temporal windows having equal widths, and converted the counts into frequency time series. These series were passed through a low-pass filter and detrended when necessary. The resulting time series gave a view of the envelopes of high-frequency bursts of spikes relating to the repetitive motor activity rather than of the intervals between spikes. Where applicable, we also compared analyses of smoothed data with the unprocessed spike intervals and found similar results for each type of time series. Autocorrelation functions of the processed data quickly decreased to zero, indicating that the long-term evolution of the time series could not be predicted from information at some given time. The first zero crossing of the autocorrelation function was used to define the lag for mapping the series into multidimensional phase space. These constructions were then used to examine the dynamics of the motor patterns directly from the state parameters of the time series: 1-D maps obtained from Poincaré slices of 2-D phase portraits, principal Lyapunov exponents, and correlation dimensions all indicated that the activity may be attributable to low-dimensional chaos. The present findings are similar to those of previous work in which equal-interval time series were obtained by interpolation of the unequal-interval spike trains. We discuss the implications of chaos and the difficulties in the application of extant dynamical tools to spike trains. An accompanying paper inquires into the ability of neural networks to read and transmit chaotic activity.

Conditioning to time: evidence for a role of hippocampus from unit recording

Unit activity of the dorsal hippocampus was recorded in partially restrained but awake and undrugged rats during a "conditioning to time". In this type of conditioning, only one stimulus, the equivalent of the unconditioned stimulus of the usual procedures, is used. It is delivered at a constant interval which, in principle, is the conditioned stimulus. In our experiments, the unconditioned stimulus was a mechanical stimulation of a vibrissa; two successive unconditioned stimuli were separated by a 24-s interval. In 11/18 rats, anticipatory movements of a "trained" vibrissa developed at the end of the interstimulus interval. In a number of cases, in parallel to this conditioned behavior, there was a significant change in unit activity, either an increase or a decrease, during the last third of the interstimulus interval. Controls showed that these changes in unit activity did not merely reflect modifications of arousal state or of vibrissa and body movements. From autocorrelograms, it appeared that anticipatory increases in unit activity were associated with the development of a bursting mode of discharge. These data constitute one of the rare examples of a neurophysiological correlate of a "conditioning to time" at the unit level and the first recorded from the dorsal hippocampus of rats.

Markov-dependency and spectral analyses on spike-counts in mesencephalic reticular neurons during sleep and attentive states

Spontaneous activities of the mesencephalic reticular formation (MRF) neurons of head-restrained cats were recorded to investigate their dynamic properties during sleep and waking. The Markov-dependency and spectral analyses were performed on the time series of counts converted from the MRF spike-train. During slow-wave sleep (SWS), MRF neurons fired with low Markovian properties and had a similar spectral-density curve as white noise; during paradoxical sleep (PS), their firing pattern showed high Markovian properties owing to low-frequency fluctuations, with spectral densities inversely proportional to frequency (the l/f spectrum). During the attentive state of bird watching (BW), intermediate Markovian properties were observed. These results confirmed both the rest theory of SWS and the activation of the brain during PS from the viewpoint of dynamic information-processing. Furthermore, the activation of the brain during PS may be greater than in BW.

Information trains. The technique and its uses in spike train and network analysis, with examples taken from the nucleus parabrachialis medialis during sleep-waking states

We describe an analytical procedure for assessing functional interactions between neuronal spike trains based on the outcome of cross-correlation procedures. Subsets of a reference cell spike train in a two-train recording are extracted, based on their time-locked relationship to spikes in the dependent train. Such timing relationships comprise the significant primary structures in the cross-correlogram. Different subsets can be extracted for different primary structures in the same correlogram (i.e. a subset responsible for an interaction effect, a subset responsible for a shared input effect, etc.). These new spike trains represent an information transfer process across synapses. These 'information trains' may be compared and correlated to different cells of the network across different functional conditions such as sleep-waking states, and may also be subjected to conventional spike train analysis techniques such as rate histogram, auto-correlation and cross-correlation procedures. We illustrate the information train procedures with a network analysis of a set of cells recorded in the nucleus parabrachialis medialis during different sleep-waking states.

Sleep and purposive behavior: inverse deviations from randomness of neuronal firing patterns in the feline thalamus. A new form of homeostasis?

In behaving cats trained to press a bar for small aliquots of milk reward, single neuronal firing patterns were monitored from the nucleus reticularis (NR) thalami during bar bressing (BP), subsequent quiet wakefulness with EEG spindles (S- QW ), grooming behavior (GR) and slow-wave sleep (SWS). The temporal patterns in the neuronal spike trains were analyzed using a non-parametric method based on relative relations between sequential spike intervals. The deviations of pattern occurrences from the random model were quantified. During BP, specific patterns occurred much more often while others occurred much less often than predicted by the random model. Patterns that were dominant during BP, were selectively suppressed or virtually eliminated during S- QW , GR and SWS, despite the increased firing rate; and, vice versa, patterns that were suppressed below chance level during BP, became dominant during S- QW , GR and SWS. The magnitudes of these inversions of the statistical distribution of patterns were not random but graded and positively correlated, thus indicating that they were homeostatically controlled. Since the inversions were already evident shortly after the satiated ceased bar pressing, they may be related to the 'need' for sleep. On the basis of the known mechanisms of pattern generation and changes in receptors for putative transmitters, it was postulated that the inversions of pattern distribution are related to the recuperative function of SWS, i.e. resensitization of receptors that had been desensitized during the animal's stereotypic BP performance. The NR and other neuronal ensembles seem to constitute an oscillatory system with two modes of reciprocal connectivities : one is supporting wakefulness and emission of specific firing patterns, and the other is incompatible with wakefulness and instead is associated with inversion of statistical distribution of firing patterns and recuperative function of SWS.

Algorithm for calculating theoretical probabilities of patterns generated by sequential inequality testing

Temporal patterns of extracellularly monitored single neuronal impulses or 'spike' trains can be viewed as stochastic point processes that carry information from one neuron to another. There are indications that the dependencies among sequential spike intervals, if treated as sequential inequality patterns, encompass much more than 7 spike intervals. Hence, to fill the gap between the available knowledge and the experimental need, a limited stochastic model of inequality patterns was reviewed and its inherent symmetries were explored. The symmetric attributes of the model, based on three through seven spike intervals, led to an algorithm which allows one to readily compute the theoretical distribution of inequality patterns of considerable complexity and length suitable for studying neuronal responses and other phenomena.

Sleep-wakefulness: inverse deviation from randomness of neuronal firing patterns in the feline thalamus. A new form of homeostasis?

During stereotypic goal-directed behavior, neurons in the feline nucleus reticularis thalami emitted specific temporal patterns, while other patterns occurred much less often than predicted by the random model. During subsequent slow wave sleep, the mean firing rate increased, but the patterns that were emitted during behavior were eliminated or suppressed far below chance level, while those that were previously suppressed became dominant.

Do neurons process information by relative intervals in spike trains?

We suggest the possibility that neurons process information in terms of the relative duration of clusters of adjacent and successive inter-action potential intervals ("bytes" of intervals). If this concept is plausible, as is supported by research from several laboratories which have specifically addressed this possibility, one should be able to see evidence for such patterning in the published illustrations from studies in which this concept was not considered. We present some of this evidence here, along with some illustrations from the original publications. Byte patterns are evident in these examples, even though they went unrecognized by authors and readers alike. It is true that interval patterns are not obvious in all published illustrations of spike trains, and we suggest that this can be explained by one or more of the following: (1) some neurons may operate with an interval-pattern code while others do not, (2) a given neuron may use an interval-pattern code only under certain conditions, and (3) even when such a code exists, it may be difficult to detect for identifiable technical reasons. Therefore, we believe that the relative-internal-pattern concept is a valid scientific hypothesis which merits specific testing of its validity and range of applicability.

Visual attention and neuronal firing patterns in the feline pulvinar nucleus of thalamus

In behaving cats, temporal patterns of neuronal firing were studied during slow wave sleep (SWS), motionless quiet wakefulness (QW) coupled with specific direction of the animal's attention, and during bar pressing performance (BP) for milk reward. The analysis was based on relative relations between sequential spike intervals. The strength of the method is based on the fact that the probabilities of occurrence of patterns are determined by the history of a spike train. During SWS, the neuronal firing modes closely followed the theoretical model of independent distribution of intervals, whereas during QW and BP specific for each neuron departures from the model, i.e., patterning was observed. Most importantly, in seven chronically studied neurons idiosyncratic patterns were related to direction of the animal's attention, and, very likely, to the visual forms the animals gazed at, because the patterns disappeared in the dark and during SWS without major changes in the mean firing rate. The replications of patterns upon recurrence of a particular direction of attention was proven statistically. The constancy and idiosyncrasy of these patterns were apparent even though the comparable episodes occurred several hours apart, and the animals slept and/or ate in between, and the distance, i.e., the retinal size of visual forms varied from one episode to another. On the basis of correlative evidence, it was argued that, compared to more abstract modes of information processing, the identification and quantification of patterns based on relative relations between intervals require the least amount of storage of intermediate results. Hence, these patterns are likely to represent a simple and phylogenetically old principle of communication between neurons. It was postulated that the idiosyncrasy and invariance of patterns may play a role in constancy of feature extraction and Gestalt perception.

Phasic loss of constraints in timing of neuronal spikes in the feline centrum medianum during EEG alpha-like activity

In unrestrained cats, temporal patterns of single neuronal firing in the centrum medianum-parafascicular complex (CM-Pf) of thalamus were studied during a state of motionless quiet wakefulness. The spike trains from each neuron were electronically divided into episodes that occurred during desynchronized EEG and those that occurred during bursts of 6-14 Hz EEG spindles or alpha-like activity over the parieto-occipital cortex and in the CM-Pf. Contrary to expectations based on the theory of inhibitory phasing of neuronal activity, the episodes of synchronized quiet wakefulness (S-QW) were associated with independent and random distribution of spike intervals, although they tended to occur in clusters. During episodes of desynchronized quiet wakefulness (D-QW), significant temporal patterns were emitted by most neurons studied. The results suggest that: (a) during D-QW and increased levels of vigilance, temporal patterns are generated by cognitive processes and enhanced specific connectivities between CM-Pf neurons and other systems; (b) if connectivity is defined as increased certainty of synaptic transmission and iterative activation of the same pathways, then the assumption that the gross EEG thalamo-cortical synchronization represents increased connectivities between the CM-Pf neurons and other systems, may be erroneous; and (c) since temporal patterns of single neuronal discharges are determined by specific spatio-temporal distribution of synaptic drive, therefore during EEG spindles, most EPSP-IPSP sequences impinging upon CM-Pf neurons are conveyed by randomly varying polysynaptic pathways and have random spatio-temporal distribution on the soma and dendrites. In light of other observations, such a process is equivalent to an active introduction of uncertainty or 'entropy' into the information processing system, a state which may be important in preserving plasticity of operational modes of CM-Pf neurons and those with which they directly and/or indirectly interact.