## Abstract

The response of a noninteracting population of identical neurons to a step change in steady synaptic input can be analytically calculated exactly from the dynamical equation that describes the population's evolution in time. Here, for model integrate-and-fire neurons that undergo a fixed finite upward shift in voltage in response to each synaptic event, we compare the theoretical prediction with the result of a direct simulation of 90,000 model neurons. The degree of agreement supports the applicability of the population dynamics equation. The theoretical prediction is in the form of a series. Convergence is rapid, so that the full result is well approximated by a few terms.

Original language | English (US) |
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Pages (from-to) | 1045-1055 |

Number of pages | 11 |

Journal | Neural Computation |

Volume | 12 |

Issue number | 5 |

DOIs | |

State | Published - May 2000 |

## ASJC Scopus subject areas

- Arts and Humanities (miscellaneous)
- Cognitive Neuroscience