Symmetries Constrain Dynamics in a Family of Balanced Neural Networks

Abstract We examine a family of random firing-rate neural networks in which we enforce the neurobiological constraint of Dale’s Law—each neuron makes either excitatory or inhibitory connections onto its post-synaptic targets. We find that this constrained system may be described as a perturbation fr...

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Bibliographic Details
Main Authors: Andrea K. Barreiro, J. Nathan Kutz, Eli Shlizerman
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of Mathematical Neuroscience
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13408-017-0052-6