Conductance-Based Integrate-and-Fire Models

1997 ◽  
Vol 9 (3) ◽  
pp. 503-514 ◽  
Author(s):  
Alain Destexhe
Keyword(s):  
High Frequency ◽  
Action Potentials ◽  
Time Course ◽  
Quantitative Model ◽  
Spike Timing ◽  
Repetitive Firing ◽  
Network Behavior ◽  
Neuronal Responses ◽  
Potential Generation ◽  
Integrate And Fire

A conductance-based model of Na+ and K+ currents underlying action potential generation is introduced by simplifying the quantitative model of Hodgkin and Huxley (HH). If the time course of rate constants can be approximated by a pulse, HH equations can be solved analytically. Pulse-based (PB) models generate action potentials very similar to the HH model but are computationally faster. Unlike the classical integrate-and fire (IAF) approach, they take into account the changes of conductances during and after the spike, which have a determinant influence in shaping neuronal responses. Similarities and differences among PB, IAF, and HH models are illustrated for three cases: high-frequency repetitive firing, spike timing following random synaptic inputs, and network behavior in the presence of intrinsic currents.

scholarly journals Predicting the response of striatal spiny neurons to sinusoidal input

2017 ◽  
Vol 118 (2) ◽  
pp. 855-873 ◽  
Author(s):  
Charles. J. Wilson
Keyword(s):  
Firing Rate ◽  
Action Potentials ◽  
Interspike Interval ◽  
Spike Timing ◽  
Repetitive Firing ◽  
Phase Resetting ◽  
Spiny Neurons ◽  
Wide Range ◽  
Sinusoidal Input ◽  
Sinusoidal Currents

During repetitive firing, the timing of action potentials is determined by the interaction between the input and voltage-sensitive currents throughout the interspike interval. This interaction is encapsulated in the neuron’s phase-resetting curve. The phase-resetting curve predicted spike timing to small sinusoidal currents over a wide range of stimulus frequencies. Firing patterns were most sensitive to oscillatory components near the cell’s own firing rate, even in the presence of noise and other inputs.

Effects of Spike Timing on Winner-Take-All Competition in Model Cortical Circuits

2000 ◽  
Vol 12 (1) ◽  
pp. 181-194 ◽  
Author(s):  
Erik D. Lumer
Keyword(s):  
Action Potentials ◽  
Spike Timing ◽  
Neuronal Responses ◽  
Cortical Circuits ◽  
Cortical Tissue ◽  
Motor Action ◽  
Recurrent Excitation ◽  
Synaptic Interactions ◽  
Winner Take All ◽  
Take All

Synaptic interactions in cortical circuits involve strong recurrent excitation between nearby neurons and lateral inhibition that is more widely spread. This architecture is commonly thought to promote a winner-takeall competition, in which a small fraction of neuronal responses is selected for further processing. Here I report that such a competition is remarkably sensitive to the timing of neuronal action potentials. This is shown using simulations of model neurons and synaptic connections representing a patch of cortical tissue. In the simulations, uncorrelated discharge among neuronal units results in patterns of response dominance and suppression, that is, in a winner-take-all competition. Synchronization of firing, however, prevents such competition. These results demonstrate a novel property of recurrent cortical-like circuits, suggesting that the temporal patterning of cortical activity may play an important part in selection among stimuli competing for the control of attention and motor action.

Synchronous bursting in a subset of interneurons inhibitory to the goldfish Mauthner cell: synaptic mediation and plasticity

1994 ◽  
Vol 72 (2) ◽  
pp. 531-541 ◽  
Author(s):  
S. Charpier ◽  
J. C. Behrends ◽  
Y. T. Chang ◽  
C. Sur ◽  
H. Korn
Keyword(s):  
High Frequency ◽  
Action Potentials ◽  
Vestibular Nerve ◽  
Membrane Properties ◽  
Repetitive Firing ◽  
Intracellular Recordings ◽  
M Cell ◽  
Antidromic Activation ◽  
Inhibitory Network ◽  
Stimulation Of

1. Presynaptic activity in the inhibitory network impinging on the Mauthner (M-) cell was investigated in the goldfish medulla in vivo using extra- and intracellular recordings. The inhibitory presynaptic volley elicited by stimulation of the contralateral vestibular nerve consisted of multiple successive peaks at high frequency (up to 1,000 Hz). Less pronounced multicomponent responses were recorded after antidromic activation of the M-cell. Such high-frequency “oscillatory” field potentials also occurred spontaneously. 2. In intracellular recordings, a subset of inhibitory interneurons showed evoked and spontaneous burst discharge. Burst action potentials were correlated with the peaks in the extracellular volley, suggesting that repetitive firing of these cells is synchronized. Nonbursting cells, on the other hand, fired single action potentials in response to vestibular stimuli and were not activated via the M-cell collateral network. 3. Bursting cells were determined morphologically to be part of the feedback inhibitory circuit. Their responses to stimulation of the contralateral vestibular nerve thus suggest the existence of a crossed excitatory pathway to these interneurons. 4. Vestibular-evoked excitatory postsynaptic potentials (EPSPs) in bursting interneurons had a short latency of 0.781 +/- 0.08 ms (mean +/- SD, n = 18) but reached threshold at 2.25 +/- 1 ms (n = 21). These characteristics are suggestive of a chemically mediated EPSP. Indeed, the evoked synchronous repetitive activity of these cells was prevented by superfusion with excitatory amino-acid receptor antagonists. 5. Bursting neurons showed several characteristics that differentiate them from nonbursting cells, including brief action potentials, plateau responses, and intense spontaneous subthreshold activity. 6. With extracellular recordings, tetanization of contralateral vestibular primary afferents evoked a long-lasting potentiation of oscillatory population responses in 11 of 27 cases. Furthermore in three experiments, the frequency of occurrence of spontaneous bursts was enhanced and a similar facilitation was detected at the intracellular level. 7. We conclude that a subset of interneurons in this inhibitory network is capable of repetitive discharges and that evoked as well as spontaneous firing in this population is synchronized. Although electrical coupling between interneurons may mediate synchronization and intrinsic membrane properties may promote burst activity, our data suggest strongly that repetitive firing requires chemically mediated transmission. Furthermore they indicate that the mechanisms underlying evoked as well as spontaneous bursting in this population show activity-dependent plasticity.

Electrophysiology of mammalian tectal neurons in vitro. II. Long-term adaptation

1988 ◽  
Vol 60 (3) ◽  
pp. 869-878 ◽  
Author(s):  
R. Llinás ◽  
J. Lopez-Barneo
Keyword(s):  
Time Constant ◽  
Action Potentials ◽  
Time Course ◽  
Stimulus Frequency ◽  
Spike Frequency ◽  
Repetitive Firing ◽  
Spike Frequency Adaptation ◽  
Frequency Adaptation ◽  
Slow Kinetics

1. The long-term adaptation of repetitive firing in guinea pig superior colliculus neurons was studied in a mesencephalic slice preparation using intracellular recording techniques. 2. This long-term adaptation was characterized by a decrease in the number of action potentials generated by a depolarizing pulse of constant amplitude applied at frequencies of 0.5-2 Hz. Long-term adaptation appeared in all cells tested regardless of whether they showed short-term spike frequency adaptation during each pulse. 3. Long-term adaptation had a close-to-exponential time course with a time constant of 4.085 +/- 0.675 s (mean +/- SD, n = 8). This phenomenon developed more rapidly as the stimulus frequency increased and was paralleled by a progressive hyperpolarization of the membrane potential which, at the termination of the train of stimuli, remained 6-10 mV more negative than the resting value. 4. The hyperpolarization and the spike frequency adaptation recovered spontaneously in approximately 60 s. The time constant of recovery was 14.66 +/- 1.189 s (n = 4). 5. The afterhyperpolarization (AHP) was also paralleled by a decrease in the input resistance of the cells. This response and the adaptation disappeared after removal of Ca2+ or after addition of Cd2+ to the external solution. This suggests that Ca2+ entry during trains of action potentials activates a Ca2+-dependent K+ conductance with an unusually slow kinetics. 6. This conductance appears to differ from other Ca2+-dependent K+ conductances in that it was blocked by 4-aminopyridine. 7. The properties of this long-term adaptation are remarkably similar to those reported for visual habituation; thus this newly described K+ conductance may be pertinent to the understanding of this behavioral phenomenon.

Actions of insect toxin and other toxins derived from the venom of the scorpion Androctonus australis on isolated giant axons of the cockroach (Periplaneta americana)

1982 ◽  
Vol 97 (1) ◽  
pp. 67-77
Author(s):  
M. Pelhate ◽  
E. Zlotkin
Keyword(s):  
Voltage Clamp ◽  
Action Potentials ◽  
Time Course ◽  
Periplaneta Americana ◽  
Sodium Current ◽  
Giant Axon ◽  
Repetitive Firing ◽  
Current Clamp ◽  
Axonal Membrane ◽  
Insect Toxin

1. Insect toxin, mammal toxins I and II and crustacean toxin were obtained from the venom of the scorpion Androctonus australis. Their effects on the isolated giant axon of the cockroach Periplaneta americana were investigated by current-clamp and voltage-clamp techniques. 2. In current-clamp conditions, mammal toxins and crustacean toxin (1.3-13 microM) induced a large prolongation of the falling phase of the evoked action potentials. Insect toxin (0.13-3.3 microM) induced a progressive slow depolarization of the membrane potential and repetitive firing of action potentials. No changes in the time-course of the action potential were induced by insect toxin. 3. In voltage-clamp conditions, mammal and crustacean toxins induced a slowing of the turn-off of the transient inward sodium current, with either no change or a small increase in the peak sodium current. Insect toxin by contrast induced an increase in the peak sodium current and a slowing of the sodium current turn-off, this effect being greatest at lower values of the clamped membrane voltage. 4. It is concluded that the repetitive activity induced by insect toxin results from a voltage-dependent modulation of sodium inactivation coupled with an increase in both the resting and active sodium permeabilities of the cockroach axonal membrane.

scholarly journals Oscillations and Spiking Pairs: Behavior of a Neuronal Model with STDP Learning

2008 ◽  
Vol 20 (8) ◽  
pp. 2037-2069 ◽  
Author(s):  
Xi Shen ◽  
Xiaobin Lin ◽  
Philippe De Wilde
Keyword(s):  
Neuronal Model ◽  
Neuronal Population ◽  
Spike Timing ◽  
Oscillatory Activity ◽  
Network Behavior ◽  
Learning Mechanisms ◽  
Integrate And Fire ◽  
The Central Nervous System ◽  
Spike Timing Precision ◽  
Distinct Role

In a biologically plausible but computationally simplified integrate-and-fire neuronal population, it is observed that transient synchronized spikes can occur repeatedly. However, groups with different properties exhibit different periods and different patterns of synchrony. We include learning mechanisms in these models. The effects of spike-timing-dependent plasticity have been known to play a distinct role in information processing in the central nervous system for several years. In this letter, neuronal models with dynamical synapses are constructed, and we analyze the effect of STDP on collective network behavior, such as oscillatory activity, weight distribution, and spike timing precision. We comment on how information is encoded by the neuronal signaling, when synchrony groups may appear, and what could contribute to the uncertainty in decision making.

scholarly journals Effects of memristive synapse radiation interactions on learning in spiking neural networks

2021 ◽  
Vol 3 (5) ◽  
Author(s):  
Sumedha Gandharava Dahl ◽  
Robert C. Ivans ◽  
Kurtis D. Cantley
Keyword(s):  
Action Potentials ◽  
Radiation Effects ◽  
Synaptic Weight ◽  
Learning Rule ◽  
Spike Timing ◽  
Spiking Neural Network ◽  
Synaptic Action ◽  
Drift Model ◽  
Spatio Temporal ◽  
Post Synaptic Neuron

AbstractThis study uses advanced modeling and simulation to explore the effects of external events such as radiation interactions on the synaptic devices in an electronic spiking neural network. Specifically, the networks are trained using the spike-timing-dependent plasticity (STDP) learning rule to recognize spatio-temporal patterns (STPs) representing 25 and 100-pixel characters. Memristive synapses based on a TiO2 non-linear drift model designed in Verilog-A are utilized, with STDP learning behavior achieved through bi-phasic pre- and post-synaptic action potentials. The models are modified to include experimentally observed state-altering and ionizing radiation effects on the device. It is found that radiation interactions tend to make the connection between afferents stronger by increasing the conductance of synapses overall, subsequently distorting the STDP learning curve. In the absence of consistent STPs, these effects accumulate over time and make the synaptic weight evolutions unstable. With STPs at lower flux intensities, the network can recover and relearn with constant training. However, higher flux can overwhelm the leaky integrate-and-fire post-synaptic neuron circuits and reduce stability of the network.

Calcium Dynamics and Compartmentalization in Leech Neurons

2005 ◽  
Vol 94 (6) ◽  
pp. 4430-4440 ◽  
Author(s):  
Sofija Andjelic ◽  
Vincent Torre
Keyword(s):  
Information Processing ◽  
Action Potential ◽  
Action Potentials ◽  
Time Course ◽  
Ccd Camera ◽  
Calcium Dynamics ◽  
Single Action ◽  
Single Action Potential ◽  
Calcium Indicator ◽  
Mechanosensory Neurons

Calcium dynamics in leech neurons were studied using a fast CCD camera. Fluorescence changes (Δ F/ F) of the membrane impermeable calcium indicator Oregon Green were measured. The dye was pressure injected into the soma of neurons under investigation. Δ F/ F caused by a single action potential (AP) in mechanosensory neurons had approximately the same amplitude and time course in the soma and in distal processes. By contrast, in other neurons such as the Anterior Pagoda neuron, the Annulus Erector motoneuron, the L motoneuron, and other motoneurons, APs evoked by passing depolarizing current in the soma produced much larger fluorescence changes in distal processes than in the soma. When APs were evoked by stimulating one distal axon through the root, Δ F/ F was large in all distal processes but very small in the soma. Our results show a clear compartmentalization of calcium dynamics in most leech neurons in which the soma does not give propagating action potentials. In such cells, the soma, while not excitable, can affect information processing by modulating the sites of origin and conduction of AP propagation in distal excitable processes.

Kv3.1–Kv3.2 Channels Underlie a High-Voltage–Activating Component of the Delayed Rectifier K+ Current in Projecting Neurons From the Globus Pallidus

1999 ◽  
Vol 82 (3) ◽  
pp. 1512-1528 ◽  
Author(s):  
R. Hernández-Pineda ◽  
A. Chow ◽  
Y. Amarillo ◽  
H. Moreno ◽  
M. Saganich ◽  
...  
Keyword(s):  
Heterologous Expression ◽  
Globus Pallidus ◽  
High Frequency ◽  
Calcium Binding ◽  
Repetitive Firing ◽  
Delayed Rectifier ◽  
Expression Systems ◽  
Electrophysiological Properties ◽  
Channel Proteins ◽  
Heterologous Expression Systems

The globus pallidus plays central roles in the basal ganglia circuitry involved in movement control as well as in cognitive and emotional functions. There is therefore great interest in the anatomic and electrophysiological characterization of this nucleus. Most pallidal neurons are GABAergic projecting cells, a large fraction of which express the calcium binding protein parvalbumin (PV). Here we show that PV-containing pallidal neurons coexpress Kv3.1 and Kv3.2 K+ channel proteins and that both Kv3.1 and Kv3.2 antibodies coprecipitate both channel proteins from pallidal membrane extracts solubilized with nondenaturing detergents, suggesting that the two channel subunits are forming heteromeric channels. Kv3.1 and Kv3.2 channels have several unusual electrophysiological properties when expressed in heterologous expression systems and are thought to play special roles in neuronal excitability including facilitating sustained high-frequency firing in fast-spiking neurons such as interneurons in the cortex and the hippocampus. Electrophysiological analysis of freshly dissociated pallidal neurons demonstrates that these cells have a current that is nearly identical to the currents expressed by Kv3.1 and Kv3.2 proteins in heterologous expression systems, including activation at very depolarized membrane potentials (more positive than −10 mV) and very fast deactivation rates. These results suggest that the electrophysiological properties of native channels containing Kv3.1 and Kv3.2 proteins in pallidal neurons are not significantly affected by factors such as associated subunits or postranslational modifications that result in channels having different properties in heterologous expression systems and native neurons. Most neurons in the globus pallidus have been reported to fire sustained trains of action potentials at high-frequency. Kv3.1–Kv3.2 voltage-gated K+channels may play a role in helping maintain sustained high-frequency repetitive firing as they probably do in other neurons.

Spike-Timing-Dependent Hebbian Plasticity as Temporal Difference Learning

2001 ◽  
Vol 13 (10) ◽  
pp. 2221-2237 ◽  
Author(s):  
Rajesh P. N. Rao ◽  
Terrence J. Sejnowski
Keyword(s):  
Cortical Neuron ◽  
Action Potentials ◽  
Learning Rule ◽  
Spike Timing ◽  
Biophysical Model ◽  
Excitatory Synapses ◽  
Temporal Difference ◽  
Temporal Difference Learning ◽  
Neocortical Neurons ◽  
Hebbian Plasticity

A spike-timing-dependent Hebbian mechanism governs the plasticity of recurrent excitatory synapses in the neocortex: synapses that are activated a few milliseconds before a postsynaptic spike are potentiated, while those that are activated a few milliseconds after are depressed. We show that such a mechanism can implement a form of temporal difference learning for prediction of input sequences. Using a biophysical model of a cortical neuron, we show that a temporal difference rule used in conjunction with dendritic backpropagating action potentials reproduces the temporally asymmetric window of Hebbian plasticity observed physiologically. Furthermore, the size and shape of the window vary with the distance of the synapse from the soma. Using a simple example, we show how a spike-timing-based temporal difference learning rule can allow a network of neocortical neurons to predict an input a few milliseconds before the input's expected arrival.

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