Stochastic model neuron without resetting of dendritic potential: application to the olfactory system

Rospars, Jean-Pierre; Lánský, Petr

doi:10.1007/bf00203125

Cited by 41 publications

(24 citation statements)

References 36 publications

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“…In a and b, however, the summation process at the site of PSI is assumed to be deterministic while the interneurone remains stochastic, whereas in c and d the reverse situation is considered. Apparently, whether or not PSI includes a stochastic element has no significant impact on the network behaviour has been described as the "two-point", or "two-compartment", LIFM with "partial", or "somatic", potential reset (Bressloff 1995;Lánský and Rodriguez 1999a,b;Rospars and Lánský 1993). (A brief model definition is given in Methods.)…”

Section: Are the Model Assumptions Justifiable?mentioning

confidence: 99%

“…Therein, summation processes rely on the elementary properties of the leaky integrate-and-fire neurone, the capacity of which has repeatedly been investigated (see e.g. Scharstein 1979;Rospars and Lánský 1993;Bressloff 1995;Lánský and Rodriguez 1999a,b;Shimokawa et al 2000;Burkitt and Clark 2000;Feng and Brown 2000;Feng 2001;Pakdaman 2001). Details on the biophysics of excitable cell membranes, during primary afferent depolarisations and shunting inhibition in particular (Atwood et al 1984; Atwood and Tse 1988;Segev 1990;Graham and Redman 1994;Walmsley et al 1995;Lamotte d'Incamps et al 1998;Lamotte et al 1999;Cattaert et al 2001), are omitted.…”

Section: Introductionmentioning

confidence: 98%

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Frequency-dependent selection of alternative spinal pathways with common periodic sensory input

et al. 2004

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Electrical stimulation of the lumbar cord at distinct frequency ranges has been shown to evoke either rhythmical, step-like movements (25-50 Hz) or a sustained extension (5-15 Hz) of the paralysed lower limbs in complete spinal cord injured subjects. Frequency-dependent activation of previously "silent" spinal pathways was suggested to contribute to the differential responsiveness to distinct neuronal "codes" and the modifications in the electromyographic recordings during the actual implementation of the evoked motor tasks. In the present study we examine this suggestion by means of a simplified biology-based neuronal network. Involving two basic mechanisms, temporal summation of synaptic input and presynaptic inhibition, the model exhibits several patterns of mono- and/or oligo-synaptic motor output in response to different interstimulus intervals. It thus reproduces fundamental input-output features of the lumbar cord isolated from the brain. The results confirm frequency-dependent spinal pathway selection as a simple mechanism which enables the cord to respond to distinct neuronal codes with different motor behaviours and to control the actual performance of the latter.

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Section: Are the Model Assumptions Justifiable?mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Frequency-dependent selection of alternative spinal pathways with common periodic sensory input

et al. 2004

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“…After the initiation of a spike the membrane potential at the cell body (soma) is reset towards some potential and the response to further synaptic input is reduced due to the refractoriness of the neuron [1]. The dendritic part of the neuron where incoming signals are integrated is affected only indirectly by this reset due to intraneuronal interactions [2][3][4].…”

mentioning

confidence: 99%

“…For instance, in a twocompartment model [3] of coupled dendrite and soma, the membrane potential at the soma is reset after spike emission while the dendritic dynamics is affected only by the resistive coupling from the soma to the dendrite. This accounts for the fact that in several kinds of neurons residual charge remains on the dendrite (following the somatic reset) that is then transferred to the soma [4,5]. Thus the dynamics of the individual neurons is modified which severely affects the collective capabilities of networks of such neurons.…”

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confidence: 99%

Sequential Desynchronization in Networks of Spiking Neurons with Partial Reset

2009

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The response of a neuron to synaptic input strongly depends on whether or not the neuron has just emitted a spike. We propose a neuron model that after spike emission exhibits a partial response to residual input charges and study its collective network dynamics analytically. We uncover a desynchronization mechanism that causes a sequential desynchronization transition: In globally coupled neurons an increase in the strength of the partial response induces a sequence of bifurcations from states with large clusters of synchronously firing neurons, through states with smaller clusters to completely asynchronous spiking. We briefly discuss key consequences of this mechanism for more general networks of biophysical neurons.

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“…Thus excitatory input charges may partly remain on the dendrite and contribute to the membrane potential integration after the reset at the soma [10][11][12]. Several multi-compartment models have been proposed to characterize this effect.…”

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confidence: 99%

Partial response to supra-threshold excitation desynchronizes spiking neurons

Kirst

Timme

2009

BMC Neurosci

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Desynchronization of neuronal dynamics is highly relevant, occurring for example in pathological synchronized neuronal activity involved in Parkinson tremor or in epileptic seizures [1][2][3]. Several mechanisms for desynchronization have been proposed and are based on heterogeneity, noise, or delayed feedback [1-6]. Here we reveal a different desynchronization mechanism based on the neuron's partial response to supra-threshold inputs [7][8][9]. In medical applications, desynchronization may be controlled by appropriate low-level drugs that change a neuron's intrinsic response properties.Typically, a spike generated at the soma affects the dendritic part only indirectly due to intra-neuronal interactions. Thus excitatory input charges may partly remain on the dendrite and contribute to the membrane potential integration after the reset at the soma [10][11][12]. Several multi-compartment models have been proposed to characterize this effect. For instance, in a two-compartment model [13] of coupled dendrite and soma, the membrane potential at the soma is reset after spike emission, while the dendritic dynamics is affected only by the resistive coupling to the soma.Here we propose an idealized neural network model that captures the partial response to residual input charges after spike emission by a partial reset. We analytically study the effect of the partial reset onto the collective network dynamics and uncover a desynchronization mechanism that causes a sequential desynchronization transition: In globally coupled neurons an increase in the strength of the partial response induces a sequence of bifurcations from states with large clusters of synchronously firing neurons, through states with smaller clusters to completely asynchronous spiking. The mechanism is robust against structural perturbations in the network and neuron properties.We link our simple model to biophysically more detailed ones by comparing spike time response curves (STRCs). STRCs encode the shortening of the inter-spike intervals (ISI) following an excitatory input at different phases of the neural oscillation. An excitatory stimulus that causes the neuron to spike will maximally shorten the ISI in which the stimulus is applied. Additionally the following ISI is typically affected as well. This effect can be characterized by an appropriately chosen partial reset in our simple system. We find a similar desynchronization transition in networks of two-compartment conductance based neurons when varying the resistive coupling between soma and dendrite. By linking the two-compartment neuron model via STRCs to our simple model we observe a change in the partial reset strength and identify it as the underlying desynchronization mechanism.

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Stochastic model neuron without resetting of dendritic potential: application to the olfactory system

Cited by 41 publications

References 36 publications

Frequency-dependent selection of alternative spinal pathways with common periodic sensory input

Frequency-dependent selection of alternative spinal pathways with common periodic sensory input

Sequential Desynchronization in Networks of Spiking Neurons with Partial Reset

Partial response to supra-threshold excitation desynchronizes spiking neurons

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