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The mean field limit of stochastic differential equation systems modelling grid cells

Abstract:

Several differential equation models have been proposed to explain the formation of patterns characteristic of the grid cell network. Understanding the robustness of these patterns with respect to noise is one of the key open questions in computational neuroscience. In the present work, we analyze a family of stochastic differential systems modelling grid cell networks. Furthermore, the well-posedness of the associated McKean–Vlasov and Fokker–Planck equations, describing the average behavior...

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Publication status:
Accepted
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Mathematical Analysis Journal website
Acceptance date:
2023-01-21
ISSN:
0036-1410
Language:
English
Keywords:
Pubs id:
1226755
Local pid:
pubs:1226755
Deposit date:
2023-01-24

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