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Open-Source Real-Time Closed-Loop Electrical Threshold Tracking for Translational Pain Research
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Instantaneous non-linear processing by pulse-coupled threshold units.

Moritz Helias1, Moritz Deger, Stefan Rotter

  • 1RIKEN Brain Science Institute, Wako City, Japan. helias@brain.riken.jp

Plos Computational Biology
|September 22, 2010
PubMed
Summary
This summary is machine-generated.

The integrate-and-fire neuron model

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Area of Science:

  • Computational neuroscience
  • Neuronal network dynamics
  • Spiking neuron models

Background:

  • Current theories of spiking neuronal networks rely on the linear response of the integrate-and-fire neuron model.
  • This model is derived in the diffusion limit, assuming a simplified response to inputs.

Purpose of the Study:

  • To investigate the response of integrate-and-fire neurons to transient inputs beyond the diffusion limit.
  • To identify deviations from linear response theory for non-zero synaptic weights.

Main Methods:

  • Analysis of the integrate-and-fire neuron model with non-zero synaptic weights.
  • Mathematical derivation and simulation of neuronal responses to transient stimuli.
  • Examination of the probability density function of the membrane potential at threshold.

Main Results:

  • The neuron's response to transient inputs is instantaneous, not low-pass filtered, for non-zero synaptic weights.
  • Response is non-linearly dependent on input amplitude and asymmetric for excitatory and inhibitory inputs.
  • Synaptic background noise at a specific level promotes this novel response mechanism.
  • At threshold, the potential's probability density drops to zero within one synaptic weight range.

Conclusions:

  • The standard linear response approximation is inadequate for spiking neuronal networks with non-zero synaptic weights.
  • A novel, instantaneous response mechanism exists, shaped by synaptic weight and background noise.
  • This mechanism is a generic property of pulse-coupled networks of threshold units.