Population dynamics of spiking neurons: fast transients, asynchronous states, and locking

Neural Comput. 2000 Jan;12(1):43-89. doi: 10.1162/089976600300015899.


An integral equation describing the time evolution of the population activity in a homogeneous pool of spiking neurons of the integrate-and-fire type is discussed. It is analytically shown that transients from a state of incoherent firing can be immediate. The stability of incoherent firing is analyzed in terms of the noise level and transmission delay, and a bifurcation diagram is derived. The response of a population of noisy integrate-and-fire neurons to an input current of small amplitude is calculated and characterized by a linear filter L. The stability of perfectly synchronized"locked"solutions is analyzed.

MeSH terms

  • Animals
  • Brain / physiology*
  • Models, Neurological*
  • Nerve Net / physiology*
  • Neural Networks, Computer*
  • Neurons / physiology*