### Abstract

Integration in the head-direction system is a computation by which horizontal angular head velocity signals from the vestibular nuclei are integrated to yield a neural representation of head direction. In the thalamus, the postsubiculum and the mammillary nuclei, the head-direction representation has the form of a place code: neurons have a preferred head direction in which their firing is maximal [Blair and Sharp, 1995, Blair et al., 1998, ?]. Integration is a difficult computation, given that head-velocities can vary over a large range. Previous models of the head-direction system relied on the assumption that the integration is achieved in a firing-rate-based attractor network with a ring structure. In order to correctly integrate head-velocity signals during high-speed head rotations, very fast synaptic dynamics had to be assumed. Here we address the question whether integration in the head-direction system is possible with slow synapses, for example excitatory NMDA and inhibitory GABA(B) type synapses. For neural networks with such slow synapses, rate-based dynamics are a good approximation of spiking neurons [Ermentrout, 1994]. We find that correct integration during high-speed head rotations imposes strong constraints on possible network architectures.

Original language | English (US) |
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Title of host publication | Advances in Neural Information Processing Systems 14 - Proceedings of the 2001 Conference, NIPS 2001 |

Publisher | Neural information processing systems foundation |

ISBN (Print) | 0262042088, 9780262042086 |

State | Published - 2002 |

Externally published | Yes |

Event | 15th Annual Neural Information Processing Systems Conference, NIPS 2001 - Vancouver, BC, Canada Duration: Dec 3 2001 → Dec 8 2001 |

### Publication series

Name | Advances in Neural Information Processing Systems |
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ISSN (Print) | 1049-5258 |

### Other

Other | 15th Annual Neural Information Processing Systems Conference, NIPS 2001 |
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Country | Canada |

City | Vancouver, BC |

Period | 12/3/01 → 12/8/01 |

### All Science Journal Classification (ASJC) codes

- Computer Networks and Communications
- Information Systems
- Signal Processing

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## Cite this

*Advances in Neural Information Processing Systems 14 - Proceedings of the 2001 Conference, NIPS 2001*(Advances in Neural Information Processing Systems). Neural information processing systems foundation.