Calcium Coding and Adaptive Temporal Computation in Cortical Pyramidal Neurons

1998 ◽  
Vol 79 (3) ◽  
pp. 1549-1566 ◽  
Author(s):  
Xiao-Jing Wang

Wang, Xiao-Jing. Calcium coding and adaptive temporal computation in cortical pyramidal neurons. J. Neurophysiol. 79: 1549–1566, 1998. In this work, we present a quantitative theory of temporal spike-frequency adaptation in cortical pyramidal cells. Our model pyramidal neuron has two-compartments (a “soma” and a “dendrite”) with a voltage-gated Ca2+ conductance ( g Ca) and a Ca2+-dependent K+ conductance ( g AHP) located at the dendrite or at both compartments. Its frequency-current relations are comparable with data from cortical pyramidal cells, and the properties of spike-evoked intracellular [Ca2+] transients are matched with recent dendritic [Ca2+] imaging measurements. Spike-frequency adaptation in response to a current pulse is characterized by an adaptation time constant τadap and percentage adaptation of spike frequency F adap [% (peak − steady state)/peak]. We show how τadap and F adap can be derived in terms of the biophysical parameters of the neural membrane and [Ca2+] dynamics. Two simple, experimentally testable, relations between τadap and F adap are predicted. The dependence of τadap and F adap on current pulse intensity, electrotonic coupling between the two compartments, g AHP as well the [Ca2+] decay time constant τCa, is assessed quantitatively. In addition, we demonstrate that the intracellular [Ca2+] signal can encode the instantaneous neuronal firing rate and that the conductance-based model can be reduced to a simple calcium-model of neuronal activity that faithfully predicts the neuronal firing output even when the input varies relatively rapidly in time (tens to hundreds of milliseconds). Extensive simulations have been carried out for the model neuron with random excitatory synaptic inputs mimicked by a Poisson process. Our findings include 1) the instantaneous firing frequency (averaged over trials) shows strong adaptation similar to the case with current pulses; 2) when the g AHP is blocked, the dendritic g Ca could produce a hysteresis phenomenon where the neuron is driven to switch randomly between a quiescent state and a repetitive firing state. The firing pattern is very irregular with a large coefficient of variation of the interspike intervals (ISI CV > 1). The ISI distribution shows a long tail but is not bimodal. 3) By contrast, in an intrinsically bursting regime (with different parameter values), the model neuron displays a random temporal mixture of single action potentials and brief bursts of spikes. Its ISI distribution is often bimodal and its power spectrum has a peak. 4) The spike-adapting current I AHP, as delayed inhibition through intracellular Ca2+ accumulation, generates a “forward masking” effect, where a masking input dramatically reduces or completely suppresses the neuronal response to a subsequent test input. When two inputs are presented repetitively in time, this mechanism greatly enhances the ratio of the responses to the stronger and weaker inputs, fulfilling a cellular form of lateral inhibition in time. 5) The [Ca2+]-dependent I AHP provides a mechanism by which the neuron unceasingly adapts to the stochastic synaptic inputs, even in the stationary state following the input onset. This creates strong negative correlations between output ISIs in a frequency-dependent manner, while the Poisson input is totally uncorrelated in time. Possible functional implications of these results are discussed.

eLife ◽  
2019 ◽  
Vol 8 ◽  
Author(s):  
Edward D Cui ◽  
Ben W Strowbridge

Most neurons do not simply convert inputs into firing rates. Instead, moment-to-moment firing rates reflect interactions between synaptic inputs and intrinsic currents. Few studies investigated how intrinsic currents function together to modulate output discharges and which of the currents attenuated by synthetic cholinergic ligands are actually modulated by endogenous acetylcholine (ACh). In this study we optogenetically stimulated cholinergic fibers in rat neocortex and find that ACh enhances excitability by reducing Ether-à-go-go Related Gene (ERG) K+ current. We find ERG mediates the late phase of spike-frequency adaptation in pyramidal cells and is recruited later than both SK and M currents. Attenuation of ERG during coincident depolarization and ACh release leads to reduced late phase spike-frequency adaptation and persistent firing. In neuronal ensembles, attenuating ERG enhanced signal-to-noise ratios and reduced signal correlation, suggesting that these two hallmarks of cholinergic function in vivo may result from modulation of intrinsic properties.


2007 ◽  
Vol 97 (1) ◽  
pp. 208-219 ◽  
Author(s):  
Joshua A. Goldberg ◽  
Chris A. Deister ◽  
Charles J. Wilson

The responsiveness of rhythmically firing neurons to synaptic inputs is characterized by their phase-response curve (PRC), which relates how weak somatic perturbations affect the timing of the next action potential. The shape of the somatic PRC is an important determinant of collective network dynamics. Here we study theoretically and experimentally the impact of distally located synapses and dendritic nonlinearities on the synchronization properties of rhythmically firing neurons. By combining the theories of quasi-active cables and phase-coupled oscillators we derive an approximation for the dendritic responsiveness, captured by the neuron's dendritic PRC (dPRC). This closed-form expression indicates that the dPRCs are linearly filtered versions of the somatic PRC and that the filter characteristics are determined by the passive and active properties of the dendrite. The passive properties induce leftward shifts in the dPRCs and attenuate them. Our analysis yields a single dimensionless parameter that classifies active dendritic conductances as either regenerative conductances that counter the passive properties by boosting the dPRCs or restorative conductances that high-pass filter the dPRCs. Thus dendritic properties can generate a qualitative difference between the somatic and dendritic PRCs. As a result collective dynamics can be qualitatively different depending on the location of the synapse, the neuronal firing rates, and the dendritic nonlinearities. Finally, we use dual whole cell recordings from the soma and apical dendrite of cortical pyramidal neurons to test these predictions and find that empirical dPRCs are shifted leftward, as predicted, but may also display high-pass characteristics resulting from the restorative dendritic HCN (h) current.


1993 ◽  
Vol 70 (3) ◽  
pp. 961-975 ◽  
Author(s):  
S. F. Stasheff ◽  
M. Hines ◽  
W. A. Wilson

1. Intracellular and extracellular recording techniques were used to study the increase in ectopic (i.e., nonsomatic) action-potential generation occurring among CA3 pyramidal cells during the kindling-like induction of electrographic seizures (EGSs) in this subpopulation of the hippocampal slice. Kindling-like stimulus trains (60 Hz, 2 s) were delivered to s. radiatum of CA3 at 10-min intervals. As EGSs developed, the frequency of ectopic firing increased markedly (by 10.33 +/- 3.29 spikes/min, mean +/- SE, P << 0.01). Several methods were applied to determine the initiation site for these action potentials within the cell (axons vs. dendrites). 2. Collision tests were conducted between known antidromic and orthodromic action potentials in CA3 cells to determine the critical period, c, for collision. Attempts were then made to collide ectopic spikes with known antidromic action potentials. At intervals less than c, ectopic spikes failed to collide with antidromic ones, in 5 of 10 cases. In these cells, this clearly indicates that the ectopic spikes were themselves of axonal origin. In the remaining five cases, ectopic spikes collided with antidromic action potentials at intervals approximately equal to c, most likely because of interactions within the complex system of recurrent axon collaterals in CA3. 3. Action potentials of CA3 pyramidal cells were simulated with the use of a compartmental computer model, NEURON. These simulations were based on prior models of CA3 pyramidal neurons and of the motoneuron action potential. Simulated action potentials generated in axonal compartments possessed a prominent inflection on their rising phase (IS-SD break), which was difficult to appreciate in those spikes generated in somatic or dendritic compartments. 4. An analysis of action potentials recorded experimentally from CA3 pyramidal cells also showed that antidromic spikes possess a prominent IS-SD break that is not present in orthodromic spikes. In addition to identified antidromic action potentials, ectopic spikes also possess such an inflection. Together with the predictions of computer simulations, this analysis also indicates that ectopic spikes originate in the axons of CA3 cells. 5. Tetrodotoxin (TTX, 50 microM) was locally applied by pressure injection while monitoring ectopic spike activity. Localized application of TTX to regions of the slice that could include the axons but not the dendrites of recorded cells abolished or markedly reduced the frequency of ectopic spikes (n = 5), further confirming the hypothesis that these action potentials arise from CA3 axons.(ABSTRACT TRUNCATED AT 400 WORDS)


2019 ◽  
Author(s):  
Olivier Dubanet ◽  
Arnaldo Ferreira Gomes Da Silva ◽  
Andreas Frick ◽  
Hajime Hirase ◽  
Anna Beyeler ◽  
...  

AbstractSeveral studies suggest a contribution of reversed, excitatory GABA to epileptogenesis. But GABAergic transmission critically depends on the very dynamic combination of membrane potential, conductance and occurrence of other synaptic inputs. Taking this complexity into account implies measuring the postsynaptic responses to spontaneously occurring GABAergic events, in vivo, without interfering with neuronal [Cl-]i. Because of technical difficulties, this has not been achieved yet. We have overcome this challenge by combining in vivo extracellular detection of both optogenetically-evoked and spontaneously occurring unitary inhibitory postsynaptic field-potentials (fIPSPs), with the silicon probe recording of neuronal firing activity, with single cell resolution. We report that isolated acute seizures induced a global reversal of the polarity of CA3 hippocampal GABAergic transmission, shifting from inhibitory to excitatory for a duration of several tens of seconds before returning to normal polarity. Nevertheless we observed this reversed polarity only in the post-ictal period during which neurons (including GABAergic interneurons) were silent. Perisomatic inhibition was also affected during the course of epileptogenesis in the Kainate model of chronic epilepsy. One week after Kainate injection, the majority of pyramidal cells escaped inhibitory control by perisomatic GABAergic events. Besides, we did not observe a reversed polarity of fIPSPs, but fIPSPs provided time-locked excitation to a minor subset of CA3 pyramidal neurons. Beside methodological interests, our results suggest that subtle alterations in the regulation of [Cl-]i and perisomatic GABAergic transmission already operate in the hippocampal circuit during the latent period that precedes the establishment of chronic epilepsy.


1998 ◽  
Vol 79 (2) ◽  
pp. 659-669 ◽  
Author(s):  
F.E.N. Le Beau ◽  
B. E. Alger

Le Beau, F.E.N. and B. E. Alger. Transient suppression ofGABAA-receptor–mediated IPSPs after epileptiform burst discharges in CA1 pyramidal cells. J. Neurophysiol. 79: 659–669, 1998. Epileptiform burst discharges were elicited in CA1 hippocampal pyramidal cells in the slice preparation by perfusion with Mg2+-free saline. Intracellular recordings revealed paroxysmal depolarization shifts (PDSs) that either occurred spontaneously or were evoked by stimulation of Schaffer collaterals. These bursts involved activation of N-methyl-d-aspartate receptors because burst discharges were reduced or abolished by dl-2-amino-5-phosphonovaleric acid. Bath application of carbachol caused an increase in spontaneous activity that was predominantly due to γ-aminobutyric acid-A-receptor–mediated spontaneous inhibitory postsynaptic potentials (sIPSPs). A marked reduction in sIPSPs (31%) was observed after each epileptiform burst discharge, which subsequently recovered to preburst levels after ∼4–20 s. This sIPSP suppression was not associated with any change in postsynaptic membrane conductance. A suppression of sIPSPs also was seen after burst discharges evoked by brief (100–200 ms) depolarizing current pulses. N-ethylmaleimide, which blocks pertussis-toxin–sensitive G proteins, significantly reduced the suppression of sIPSPs seen after a burst response. When increases in intracellular Ca2+ were buffered by intracellular injection of ethylene glycol bis(β-aminoethyl)ether- N,N,N′,N′-tetraacetic acid, the sIPSP suppression seen after a single spontaneous or evoked burst discharge was abolished. Although we cannot exclude other Ca2+-dependent mechanisms, this suppression of sIPSPs shared many of the characteristics of depolarization-induced suppression of inhibition (DSI) in that it involved activation of G proteins and was dependent on increases in intracellular calcium. These findings suggest that a DSI-like process may be activated by the endogenous burst firing of CA1 pyramidal neurons.


2020 ◽  
Vol 1 (II) ◽  
Author(s):  
Talis Bachmann ◽  
Mototaka Suzuki ◽  
Jaan Aru

The idea that the thalamo-cortical system is the crucial constituent of the neurobiological mechanisms of consciousness has a long history. For the last few decades, however, consciousness research has to a large extent overlooked the interplay between the cortex and thalamus. Here we revive an integrated view of the neurobiology of consciousness by presenting and discussing several recent major findings about the role of the thalamocortical interactions in consciousness. Based on these findings we propose a specific cellular mechanism how thalamic nuclei modulate the integration of different processing streams within single cortical pyramidal neurons. This theory is inspired by recent work done in rodents, but it integrates decades of work conducted on various species. We illustrate how this new view readily explains various properties and experimental phenomena associated with conscious experience. We discuss the implications of this idea and some of the experiments that need to be done in order to test it. Our view bridges two long-standing perspectives on the neural mechanisms of consciousness and proposes that cortical and thalamo-cortical processing interact at the level of single pyramidal cells.


1998 ◽  
Vol 10 (4) ◽  
pp. 837-854 ◽  
Author(s):  
Sharon M. Crook ◽  
G. Bard Ermentrout ◽  
James M. Bower

Oscillations in many regions of the cortex have common temporal characteristics with dominant frequencies centered around the 40 Hz (gamma) frequency range and the 5–10 Hz (theta) frequency range. Experimental results also reveal spatially synchronous oscillations, which are stimulus dependent (Gray&Singer, 1987;Gray, König, Engel, & Singer, 1989; Engel, König, Kreiter, Schillen, & Singer, 1992). This rhythmic activity suggests that the coherence of neural populations is a crucial feature of cortical dynamics (Gray, 1994). Using both simulations and a theoretical coupled oscillator approach, we demonstrate that the spike frequency adaptation seen in many pyramidal cells plays a subtle but important role in the dynamics of cortical networks. Without adaptation, excitatory connections among model pyramidal cells are desynchronizing. However, the slow processes associated with adaptation encourage stable synchronous behavior.


1999 ◽  
Vol 81 (3) ◽  
pp. 1341-1354 ◽  
Author(s):  
Peter Schwindt ◽  
Wayne Crill

Mechanisms underlying burst and regular spiking evoked by dendritic depolarization in layer 5 cortical pyramidal neurons. Apical dendrites of layer 5 pyramidal cells in a slice preparation of rat sensorimotor cortex were depolarized focally by long-lasting glutamate iontophoresis while recording intracellularly from their soma. In most cells the firing pattern evoked by the smallest dendritic depolarization that evoked spikes consisted of repetitive bursts of action potentials. During larger dendritic depolarizations initial burst firing was followed by regular spiking. As dendritic depolarization was increased further the duration (but not the firing rate) of the regular spiking increased, and the duration of burst firing decreased. Depolarization of the soma in most of the same cells evoked only regular spiking. When the dendrite was depolarized to a critical level below spike threshold, intrasomatic current pulses or excitatory postsynaptic potentials also triggered bursts instead of single spikes. The bursts were driven by a delayed depolarization (DD) that was triggered in an all-or-none manner along with the first Na+ spike of the burst. Somatic voltage-clamp experiments indicated that the action current underlying the DD was generated in the dendrite and was Ca2+ dependent. Thus the burst firing was caused by a Na+ spike-linked dendritic Ca2+spike, a mechanism that was available only when the dendrite was adequately depolarized. Larger dendritic depolarization that evoked late, constant-frequency regular spiking also evoked a long-lasting, Ca2+-dependent action potential (a “plateau”). The duration of the plateau but not its amplitude was increased by stronger dendritic depolarization. Burst-generating dendritic Ca2+spikes could not be elicited during this plateau. Thus plateau initiation was responsible for the termination of burst firing and the generation of the constant-frequency regular spiking. We conclude that somatic and dendritic depolarization can elicit quite different firing patterns in the same pyramidal neuron. The burst and regular spiking observed during dendritic depolarization are caused by two types of Ca2+-dependent dendritic action potentials. We discuss some functional implications of these observations.


2003 ◽  
Vol 89 (3) ◽  
pp. 1541-1566 ◽  
Author(s):  
Lionel G. Nowak ◽  
Rony Azouz ◽  
Maria V. Sanchez-Vives ◽  
Charles M. Gray ◽  
David A. McCormick

To facilitate the characterization of cortical neuronal function, the responses of cells in cat area 17 to intracellular injection of current pulses were quantitatively analyzed. A variety of response variables were used to separate the cells into subtypes using cluster analysis. Four main classes of neurons could be clearly distinguished: regular spiking (RS), fast spiking (FS), intrinsic bursting (IB), and chattering (CH). Each of these contained significant subclasses. RS neurons were characterized by trains of action potentials that exhibited spike frequency adaptation. Morphologically, these cells were spiny stellate cells in layer 4 and pyramidal cells in layers 2, 3, 5, and 6. FS neurons had short-duration action potentials (<0.5 ms at half height), little or no spike frequency adaptation, and a steep relationship between injected current intensity and spike discharge frequency. Morphologically, these cells were sparsely spiny or aspiny nonpyramidal cells. IB neurons typically generated a low frequency (<425 Hz) burst of spikes at the beginning of a depolarizing current pulse followed by a tonic train of action potentials for the remainder of the pulse. These cells were observed in all cortical layers, but were most abundant in layer 5. Finally, CH neurons generated repetitive, high-frequency (350–700 Hz) bursts of short-duration (<0.55 ms) action potentials. Morphologically, these cells were layer 2–4 (mainly layer 3) pyramidal or spiny stellate neurons. These results indicate that firing properties do not form a continuum and that cortical neurons are members of distinct electrophysiological classes and subclasses.


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