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

• Published in: Neural Computation (ISSN: 0899-7667), vol. 12, num. 1, p. 43-89
• Massachusetts Institute of Technology Press, 2000

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.

Note: article

Reference

• LCN-ARTICLE-2000-003
• doi:10.1162/089976600300015899
• View record in Web of Science

Record created on 2006-12-12, modified on 2012-03-21