Biological Cybernetics

, Volume 99, Issue 4–5, pp 279–301 | Cite as

The response of cortical neurons to in vivo-like input current: theory and experiment

I. Noisy inputs with stationary statistics
  • Giancarlo La CameraEmail author
  • Michele Giugliano
  • Walter Senn
  • Stefano Fusi


The study of several aspects of the collective dynamics of interacting neurons can be highly simplified if one assumes that the statistics of the synaptic input is the same for a large population of similarly behaving neurons (mean field approach). In particular, under such an assumption, it is possible to determine and study all the equilibrium points of the network dynamics when the neuronal response to noisy, in vivo-like, synaptic currents is known. The response function can be computed analytically for simple integrate-and-fire neuron models and it can be measured directly in experiments in vitro. Here we review theoretical and experimental results about the neural response to noisy inputs with stationary statistics. These response functions are important to characterize the collective neural dynamics that are proposed to be the neural substrate of working memory, decision making and other cognitive functions. Applications to the case of time-varying inputs are reviewed in a companion paper (Giugliano et al. in Biol Cybern, 2008). We conclude that modified integrate-and-fire neuron models are good enough to reproduce faithfully many of the relevant dynamical aspects of the neuronal response measured in experiments on real neurons in vitro.


Integrate-and-fire Mean field Population density Collective dynamics Attractor Pyramidal Fast spiking 


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Copyright information

© National Institutes of Health 2008

Authors and Affiliations

  • Giancarlo La Camera
    • 1
    Email author
  • Michele Giugliano
    • 2
    • 3
  • Walter Senn
    • 4
  • Stefano Fusi
    • 5
    • 6
  1. 1.Laboratory of NeuropsychologyNational Institute of Mental Health, National Institutes of HealthBethesdaUSA
  2. 2.Laboratory of Neural MicrocircuitryEcole Polytechnique Fédérale de LausanneLausanneSwitzerland
  3. 3.Theoretical NeurobiologyUniversity of AntwerpWilrijkBelgium
  4. 4.Institute of PhysiologyUniversity of BernBernSwitzerland
  5. 5.Center for Theoretical NeuroscienceColumbia University, College of Physicians and SurgeonsNew YorkUSA
  6. 6.Institute for NeuroinformaticsUniversity of Zurich-ETHZurichSwitzerland

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