Cross-correlation analysis of unit activity in spinal locomotor centers

Correlation analysis of unit activity in spinal locomotor centers was carried out in immobilized thalamic cats. Within a short time interval (the time shift of one spike train relative to the other during plotting of the cross-correlation histogram did not exceed 54 msec) correlation between the spike flows of these cells was absent, irrespective of the distance between them, both at rest and during efferent discharge generation. Spike flows of neurons could correlate only in the case of a long time interval (maximal time shift of one spike train relative to the other not less than 4–8 sec during plotting of the cross-correlation histogram). Weak correlation with a long time interval (4–8 sec) was found between changes in the momentary frequency of a neuron and the intensity of the discharge in the motor nerve, but no correlation was found between changes in momentary frequency of the neuron and intensity of discharge. The possible causes of the absence of correlation with a short time interval and its presence with a long time interval are discussed.A. A. Bogomolets Institute of Physiology, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Neirofiziologiya, Vol. 12, No. 3, pp. 283–289, May–June, 1980.     

Comparative analysis of background activity of ventrolateral thalamic neurons in patients with parkinsonism and torsion muscle dystonia

In the course of neurosurgical interventions in 40 patients with parkinsonism and torsion muscle dystonia, the background activity (BA) was recorded from 124 neurons of the ventrolateral nucleus (VL) of the thalamus with the aid of microelectrodes during demarcation of boundaries between nuclear structures, and identification of zones within a nucleus. The following characteristic features of the BA in patients with parkinsonism were found: a relatively large proportion (71%) of cells with a burst pattern of activity; a great diversity of burst duration in the activity (short or prolonged bursts); a large proportion (67%) of cells with cyclic changes in the BA frequency; diverse patterns of cyclic modulation, where periods varied from fractions of a second (0.2–0.8 sec) to seconds (2–10 sec) or to tens of seconds (20–40 sec); cyclic successions of spike bursts with the rhythm typical of the peripheral tremor (3–7/sec) in a substantial proportion (40%) of the units.The background spike trains recorded in patients with torsion muscle dystonia consisted of separated spikes in the majority (69%) of units. Only short high-frequency discharges were found in the burst activity in this group; a cyclic BA pattern occurred much less frequently (in 23% of neurons); burst discharges at a 3–4/sec frequency were found only in 4% of the examined cells.The possible nature of motor disorders in patients with parkinsonism and torsion muscle dystonia and the mechanisms of the curing effects of cryodestruction of theVL of the thalamus in the treatment of the disease are discussed.Neirofiziologiya/Neurophysiology, Vol. 25, No. 4, pp. 246–253, July–August, 1993.     

Features of parkinsonian and essential tremor of the human hand

Using spectral, wavelet, multifractal, and recurrence analyses we examined the features of involuntary shaking (tremor) that occur during the performance of a given motor task. The task was to maintain the efforts of fingers under isometric conditions by a healthy subject, a patient with primary bilateral parkinsonism, and a patient with essential tremor syndrome. The physiological tremor was characterized by the lowest amplitude, a broad power spectrum, the lowest energy of the wavelet spectrum, the highest degree of multifractality, the lowest degree of determinism, and the highest entropy of the recurrence time density. In the case of the essential tremor we observed a significant enhancement of the wavelet spectrum energy and a decrease of the oscillation complexity. This was evident via the occurrence of clear peaks in the power spectra, a decrease in the degree of multifractality, the emergence of a quasi-periodic structure in the recurrence diagrams, an increase in determinism and a decrease of the entropy of recurrence time density. All these trends were increased for the parkinsonian tremor data. These characteristics enable us to quantitatively estimate the degree of deviation of motor function from the healthy case.     

Cross-spectral analysis of physiological tremor and muscle activity

We investigate the relationship between the extensor electromyogram (EMG) and tremor time series in physiological hand tremor by cross-spectral analysis. Special attention is directed to the phase spectrum and the effects of observational noise. We calculate the theoretical phase spectrum for a second-order linear stochastic process and compare the results to measured tremor data recorded from subjects who did not show a synchronized EMG activity in the corresponding extensor muscle. The results show that physiological tremor is well described by the proposed model and that the measured EMG represents a Newtonian force by which the muscle acts on the hand. Received: 7 October 1996 / Accepted in revised form: 29 January 1998     

Cross-correlation analysis of background neuronal activity in guinea pig neocortical slices in vitro

Interaction between the background activity of adjoining neurons was investigated using simultaneous recording in surviving slices from the guinea pig sensory motor cortex by means of cross-correlation analysis. A numerical connection was found between the timing of successive discharges in sixteen of the twenty six neuronal pairs investigated. Significant discrepancies were observed in correlation tables, mainly in the range of time shifts of ±100 msec from zero point. These emerged as symmetrical or asymmetrical peaks of up to 150 msec in duration and negative shifts measuring up to 200 msec. More complex positive-negative cross-correlation patterns were also encountered. These findings may be compared with those obtained in the cortex of the intact brain. The subject of the contribution made by intrinsic cortical neuronal interaction and that of external afferents to firing correlation is discussed.Institute of Biological Physics, Academy of Sciences of the USSR, Pushchino, Moscow. Translated from Neirofiziologiya, Vol. 23, No. 4, pp. 392–399, July–August, 1991.     

Cross-correlation between EMG and center of gravity during quiet stance: theory and simulations

Several signal processing tools have been employed in the experimental study of the postural control system in humans. Among them, the cross-correlation function has been used to analyze the time relationship between signals such as the electromyogram and the horizontal projection of the center of gravity. The common finding is that the electromyogram precedes the biomechanical signal, a result that has been interpreted in different ways, for example, the existence of feedforward control or the preponderance of a velocity feedback. It is shown here, analytically and by simulation, that the cross-correlation function is depedent in a complicated way on system parameters and on noise spectra. Results similar to those found experimentally, e.g., electromyiogram preceding the biomechanical signal may be obtained in a postural control model without any feedforward control and without any velocity feedback. Therefore, correct interpretations of experimentally obtained cross-correlation functions may require additional information about the system. The results extend to other biomedical applications where two signals from a closed loop system are cross-correlated.     

Model of oscillatory activity in thalamic neurons: Role of voltage- and calcium-dependent ionic conductances

This paper describes a computer modeling study of the generation of 10 Hz oscillations in the electrical activity of guinea pig thalamic neurons in vitro. The computer model was based on experimental evidence suggesting that single thalamic neurons in guinea pig have a set of voltage- and calcium-dependent ionic conductances that is capable of generating self-sustained rhythmic oscillations. Simulation results are consistent with this hypothesis, and indicate that a model that contains dendritic calcium and calcium-dependent potassium conductances, as well as a voltage-dependent, slow sodium conductance, can indeed generate self-sustained oscillations like those seen in thalamic neurons. Moreover, simulations indicate that the occurrence of such oscillatory activity is strongly dependent on the location of the slow sodium conductance. Results predict that this slow sodium conductance is located in the dendrites.The authors express their appreciation to R. J. MacGregor for providing equations and computer programs for simulating a two-point neuronal model with active calcium-related conductances     

Plastic change of thalamic organization in patients with tremor after stroke

Thirteen patients with tremor after stroke were treated by stereotactic thalamotomy. Prior to making therapeutic lesions, microrecordings were tried and the findings were compared with our own results obtained in Parkinson's disease. Several characteristic features were revealed in terms of changes in electrical activity in and around the thalamic Vim nucleus. These findings support the idea that reorganization of the thalamic sensory nuclei might take place.     

The initiation of bursts in thalamic neurons and the cortical control of thalamic sensitivity

Thalamic neurons generate high-frequency bursts of action potentials when a low-threshold (T-type) calcium current, located in soma and dendrites, becomes activated. Computational models were used to investigate the bursting properties of thalamic relay and reticular neurons. These two types of thalamic cells differ fundamentally in their ability to generate bursts following either excitatory or inhibitory events. Bursts generated with excitatory inputs in relay cells required a high degree of convergence from excitatory inputs, whereas moderate excitation drove burst discharges in reticular neurons from hyperpolarized levels. The opposite holds for inhibitory rebound bursts, which are more difficult to evoke in reticular neurons than in relay cells. The differences between the reticular neurons and thalamocortical neurons were due to different kinetics of the T-current, different electrotonic properties and different distribution patterns of the T-current in the two cell types. These properties enable the cortex to control the sensitivity of the thalamus to inputs and are also important for understanding states such as absence seizures.     

Slit2 activity in the migration of guidepost neurons shapes thalamic projections during development and evolution

How brain connectivity has evolved to integrate the mammalian-specific neocortex remains largely unknown. Here, we address how dorsal thalamic axons, which constitute the main input to the neocortex, are directed internally to their evolutionary novel target in mammals, though they follow an external path to other targets in reptiles and birds. Using comparative studies and functional experiments in chick, we show that local species-specific differences in the migration of previously identified "corridor" guidepost neurons control the opening of a mammalian thalamocortical route. Using in?vivo and ex vivo experiments in mice, we further demonstrate that the midline repellent Slit2 orients migration of corridor neurons and thereby switches thalamic axons from an external to a mammalian-specific internal path. Our study reveals that subtle differences in the migration of conserved intermediate target neurons trigger large-scale changes in thalamic connectivity, and opens perspectives on Slit functions and the evolution of brain wiring.     

Discrimination of Parkinsonian tremor from essential tremor by implementation of a wavelet-based soft-decision technique on EMG and accelerometer signals

A wavelet-decomposition with soft-decision algorithm is used to estimate an approximate power-spectral density (PSD) of both accelerometer and surface EMG signals for the purpose of discrimination of Parkinson tremor from essential tremor. A soft-decision wavelet-based PSD estimation is used with 256 bands for a signal sampled at 800 Hz. The sum of the entropy of the PSD in band 6 (7.8125–9.375 Hz) and band 11 (15.625–17.1875 Hz) is used as a classification factor. The data has been recorded for diagnostic purposes in the Department of Neurology of the University of Kiel, Germany. Two sets of data are used. The training set, which consists of 21 essential-tremor (ET) subjects and 19 Parkinson-disease (PD) subjects, is used to obtain the threshold value of the classification factor differentiating between the two subjects. The test data set, which consists of 20 ET and 20 PD subjects, is used to test the technique and evaluate its performance. A “voting” between three results obtained from accelerometer signal and two EMG signals is applied to obtain the final discrimination. A total accuracy of discrimination of 85% is obtained.     

Pigeon oesophageal EMG activity: analysis of intramural neural control

The effects of agonist and antagonist cholinergic and adrenergic drugs on spontaneous electrical activity of transverse muscular strips of pigeon cervical oesophagus were examined. Tetrodotoxin failed to affect EMG activity. Cholinomimetics produced excitatory effects. The response to carbachol was enhanced by hexamethonium and reversed into an inhibitory effect by atropine. Noradrenaline evoked a concentration-dependent, biphasic effect (inhibition at low and excitation at high concentrations). Isoproterenol induced inhibitory response unaffected by tetrodotoxin. Phenylephrine induced excitatory response completely antagonized by tetrodotoxin and partially opposed by atropine. It is concluded that: i) the oesophageal spontaneous EMG activity is myogenic; ii) the intramural neurons have no tonic influence on the spontaneous EMG activity; iii) in the intramural plexuses there are cholinergic excitatory-, non-cholinergic excitatory- and inhibitory neurons, with unknown neurotransmitter; iv) excitatory alpha-adrenoceptors, located on the nervous elements and inhibitory beta-adrenoceptors, located on the smooth-muscle cells, are present.     

GABAB receptors suppress burst-firing in reticular thalamic neurons

Burst-firing in thalamic neurons is known to play a key role in mediating thalamocortical (TC) oscillations that are associated with non-REM sleep and some types of epileptic seizure. Within the TC system the primary output of GABAergic neurons in the reticular thalamic nucleus (RTN) is thought to induce the de-inactivation of T-type calcium channels in thalamic relay (TR) neurons, promoting burst-firing drive to the cortex and the propagation of TC network activity. However, RTN neurons also project back onto other neurons within the RTN. The role of this putative negative feedback upon the RTN itself is less well understood, although is hypothesized to induce de-synchronization of RTN neuron firing leading to the suppression of TC oscillations. Here we tested two hypotheses concerning possible mechanisms underlying TC oscillation modulation. Firstly, we assessed the burst-firing behavior of RTN neurons in response to GABA_B receptor activation using acute brain slices. The selective GABA_B receptor agonist baclofen was found to induce suppression of burst-firing concurrent with effects on membrane input resistance. Secondly, RTN neurons express Ca_V3.2 and Ca_V3.3 T-type calcium channel isoforms known to contribute toward TC burst-firing and we examined the modulation of these channels by GABA_B receptor activation. Utilizing exogenously expressed T-type channels we assessed whether GABA_B receptor activation could directly alter T-type calcium channel properties. Overall, GABA_B receptor activation had only modest effects on Ca_V3.2 and Ca_V3.3 isoforms. The only effect that could be predicted to suppress burst-firing was a hyperpolarized shift in the voltage-dependence of inactivation, potentially causing lower channel availability at membrane potentials critical for burst-firing. Conversely, other effects observed such as a hyperpolarized shift in the voltage-dependence of activation of both Ca_V3.2 and Ca_V3.3 as well as increased time constant of activation of the Ca_V3.3 isoform would be expected to enhance burst-firing. Together, we hypothesize that GABA_B receptor activation mediates multiple downstream effectors that combined act to suppress burst-firing within the RTN. It appears unlikely that direct GABA_B receptor-mediated modulation of T-type calcium channels is the major mechanistic contributor to this suppression.     

The role of the thalamic ventrolateral nucleus in the cortical effect on the activity of vestibular neurons

Electrocoagulation of lateral vestibular nucleus (NVL) reduces inhibitory effect of the motor and somatosensory areas and enhances the inhibitory effect of limbic, vestibular, and orbital cortical areas. Facilitating effect was enhanced by electrostimulation of the motor area and reduced by the stimulation of other cortical areas. Following the coagulation of the NVL, the ascending afferent flow to the cortex seems to be reduced. This results in diminishing of the cortical neurones tone and readjusts the descending influences upon the NVL neurones activity.     

Resonances and noise in a stochastic Hindmarsh-Rose model of thalamic neurons

Thalamic neurons exhibit subthreshold resonance when stimulated with small sine wave signals of varying frequency and stochastic resonance when noise is added to these signals. We study a stochastic Hindmarsh-Rose model using Monte-Carlo simulations to investigate how noise, in conjunction with subthreshold resonance, leads to a preferred frequency in the firing pattern. The resulting stochastic resonance (SR) exhibits a preferred firing frequency that is approximately exponential in its dependence on the noise amplitude. In similar experiments, frequency dependent SR is found in the reliability of detection of alpha-function inputs under noise, which are more realistic inputs for neurons. A mathematical analysis of the equations reveals that the frequency preference arises from the dynamics of the slow variable. Noise can then transfer the resonance over the firing threshold because of the proximity of the fast subsystem to a Hopf bifurcation point. Our results may have implications for the behavior of thalamic neurons in a network, with noise switching the membrane potential between different resonance modes.     

EMG activity in compensatory muscle hypertrophy

The functional elimination of synergistic muscles leads to dramatic muscle hypertrophy. However, neither resting EMG activity recorded by an implanted electrode array, nor activity during locomotion have substantiated the assumption that the hypertrophy in the rat soleus muscle is caused by hyperactivity.     

Cross-correlation analysis of the lateral pulvinar and scalp EEG in man

Cross-correlation analysis of the EEG between the lateral pulvinar and various cortical regions was made after EEG was recorded during stereotactic pulvinectomy. Cross-correlation analysis of the alpha-waves between the lateral pulvinar and the scalp EEG showed that the lateral pulvinar has the highest degree of functional connection with the pre-central area, diminishing in degree with the parietal and frontal areas, and has poor functional connections with the occipital area. From these results, it might be concluded that the lateral pulvinar may be related to motor function by functional connections with the pre-central area rather than the parietal area.     

Low voltage-activated Ca2+ conductances in thalamic neurons

Low voltage-activated (LVA) Ca²⁺ conductances were characterized in the neurons of the associative laterodorsal (LD) thalamic nucleus in rat brain slices and in enzymatically isolated thalamic units using electrophysiological techniques. Voltage dependence, kinetics of inactivation, pharmacology, and selectivity of the LVA current in the thalamic neurons from animals older than 14 postnatal days were consistent with the existence of two, “fast” and “slow,” subtypes of LVA Ca²⁺ channels. “Slow” LVA current in enzymatically isolated thalamic neurons was much less prominent, compared with that in slice neurons, suggesting that respective channels are predominatly located on the distal dendrites. “Fast” Ca²⁺ channels were sensitive to nifedipine (K _d−2.6 μM) and La³⁺ (K _d−1.0 mM), whereas “slow” Ca²⁺ channels were sensitive to Ni²⁺ (25 μM). Selectivity of the “fast” Ca²⁺ channels was similar to that found for the LVA Ca²⁺ channels in other preparations (I _Ca:I _Sr:I _Ba−1.0: 1.23: 0.94), while selectivity of the “slow” Ca²⁺ channels more resembled selectivity of the HVA Ca²⁺ channels (I _Ca:I _Sr:I _Ba−1.0: 2.5: 3.4).