A multi-regional network encoding heading and steering maneuvers in Drosophila. Angular velocity integration in a fly heading circuit. A neural circuit architecture for angular integration in Drosophila. Sun navigation requires compass neurons in Drosophila. A neural heading estimate is compared with an internal goal to guide oriented navigation. Green, J., Vijayan, V., Mussells Pires, P., Adachi, A. Neural dynamics for landmark orientation and angular path integration. An anatomically constrained model for path integration in the bee brain. Transfer of coded information from sensory to motor networks. A neural model of the cortical representation of egocentric distance. Neural representation of space using sinusoidal arrays. An allocentric spatial model for the hippocampal cognitive map. A back-propagation programmed network that simulates response properties of a subset of posterior parietal neurons. The principles of this circuit may generalize to other brains and to domains beyond navigation where vector operations or reference-frame transformations are required. This circuit operates by mapping two-dimensional vectors onto sinusoidal patterns of activity across distinct neuronal populations, with the amplitude of the sinusoid representing the length of the vector and its phase representing the angle of the vector. We then characterize a neuronal circuit that performs an egocentric-to-allocentric (that is, body-centred to world-centred) coordinate transformation and vector addition to compute the allocentric travelling direction. Past work has identified neurons in Drosophila 8, 11, 12, 13 and mammals 14 that track the heading angle of an animal referenced to external cues (for example, head direction cells), but this new signal illuminates how the sense of space is properly updated when travelling and heading angles differ (for example, when walking sideways).
First, we describe a neural signal in the fan-shaped body that explicitly tracks the allocentric travelling angle of a fly, that is, the travelling angle in reference to external cues. Here we show how the Drosophila central complex, a region implicated in goal-directed navigation 7, 8, 9, 10, performs vector arithmetic. Many behavioural tasks require the manipulation of mathematical vectors, but, outside of computational models 1, 2, 3, 4, 5, 6, 7, it is not known how brains perform vector operations.
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