• DOI:10.1214/13-AAP950
Corpus ID: 14250028

Propagation of chaos in neural fields

@article{Touboul2014PropagationOC,
  title={Propagation of chaos in neural fields},
  author={J. Touboul},
  journal={Annals of Applied Probability},
  year={2014},
  volume={24},
  pages={1298-1328}
}

J. Touboul

Published 2014

Mathematics, Biology

Annals of Applied Probability

We consider the problem of the limit of bio-inspired spatially extended neuronal networks including an infinite number of neuronal types (space locations), with space-dependent propagation delays modeling neural fields. The propagation of chaos property is proved in this setting under mild assumptions on the neuronal dynamics, valid for most models used in neuroscience, in a mesoscopic limit, the neural-field limit, in which we can resolve quite fine structure of the neuron's activity in space… CONTINUE READING

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