Average firing rate of a neural network with dynamical disorder

Bressloff, Paul C.

doi:10.1088/0305-4470/28/9/009

Cited by 2 publications

(1 citation statement)

References 20 publications

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“…analogous to equation (74), where Λ(E) is determined self-consistently. Details of this approach when η α (t) is a multi-component dichotomous noise process are given elsewhere 65 . The main result is that a fluctuating background leads to an increase in the steady-state firing-rate of a network compared to a constant background of the same average intensity.…”

Section: G(e)mentioning

confidence: 99%

Physics of the Extended Neuron

Bressloff

Coombes

1997

Int. J. Mod. Phys. B

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We review recent work concerning the effects of dendritic structure on single neuron response and the dynamics of neural populations. We highlight a number of concepts and techniques from physics useful in studying the behaviour of the spatially extended neuron. First we show how the single neuron Green's function, which incorporates details concerning the geometry of the dendritic tree, can be determined using the theory of random walks. We then exploit the formal analogy between a neuron with dendritic structure and the tight-binding model of excitations on a disordered lattice to analyse various Dyson-like equations arising from the modelling of synaptic inputs and random synaptic background activity. Finally, we formulate the dynamics of interacting populations of spatially extended neurons in terms of a set of Volterra integro-differential equations whose kernels are the single neuron Green's functions. Linear stability analysis and bifurcation theory are then used to investigate two particular aspects of population dynamics (i) pattern formation in a strongly coupled network of analog neurons and (ii) phase-synchronization in a weakly coupled network of integrate-and-fire neurons.

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Section: G(e)mentioning

confidence: 99%

Physics of the Extended Neuron

Bressloff

Coombes

1997

Int. J. Mod. Phys. B

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A Neuro-Mechanical Model for Interpersonal Coordination

Rugy¹,

Salesse²,

Oullier³

et al. 2006

Biol Cybern

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The present study investigates the coordination between two people oscillating handheld pendulums, with a special emphasis on the influence of the mechanical properties of the effector systems involved. The first part of the study is an experiment in which eight pairs of participants are asked to coordinate the oscillation of their pendulum with the other participant's in an in-phase or antiphase fashion. Two types of pendulums, A and B, having different resonance frequencies (Freq A=0.98 Hz and Freq B=0.64 Hz), were used in different experimental combinations. Results confirm that the preferred frequencies produced by participants while manipulating each pendulum individually were close to the resonance frequencies of the pendulums. In their attempt to synchronize with one another, participants met at common frequencies that were influenced by the mechanical properties of the two pendulums involved. In agreement with previous studies, both the variability of the behavior and the shift in the intended relative phase were found to depend on the task-effector asymmetry, i.e., the difference between the mechanical properties of the effector systems involved. In the second part of the study, we propose a model to account for these results. The model consists of two cross-coupled neuro-mechanical units, each composed of a neural oscillator driving a wrist-pendulum system. Taken individually, each unit reproduced the natural tendency of the participants to freely oscillate a pendulum close to its resonance frequency. When cross-coupled through the vision of the pendulum of the other unit, the two units entrain each other and meet at a common frequency influenced by the mechanical properties of the two pendulums involved. The ability of the proposed model to address the other effects observed as a function of the different conditions of the pendulum and intended mode of coordination is discussed.

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Average firing rate of a neural network with dynamical disorder

Cited by 2 publications

References 20 publications

Physics of the Extended Neuron

Physics of the Extended Neuron

A Neuro-Mechanical Model for Interpersonal Coordination

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