Non-monotone cellular automata: Order prevails over chaos.
Cellular automata
Integrate-and-fire neurons
Non-monotone bootstrap percolation
Spatio-temporal patterns
Journal
Bio Systems
ISSN: 1872-8324
Titre abrégé: Biosystems
Pays: Ireland
ID NLM: 0430773
Informations de publication
Date de publication:
Oct 2022
Oct 2022
Historique:
received:
28
02
2022
revised:
28
07
2022
accepted:
02
08
2022
pubmed:
9
8
2022
medline:
1
9
2022
entrez:
8
8
2022
Statut:
ppublish
Résumé
We consider a model for the propagation of electrical impulses or activity in a neuronal network. The vertices of a square lattice represent neurons, and the edges of the lattice represent the synaptic connections. Each vertex v is assigned a type: inhibitory or excitatory. The dynamics of propagation of the initial activity captures features of the "integrate-and-fire" model. We study the spread of activation in a large network and describe possible spatio-temporal limiting patterns depending on the initial activation. The rich palette of the limits with qualitatively different properties, including expanding patterns, fixed patterns, and patterns moving across the network, allows us to argue that this is a versatile model for the study of associative memory.
Identifiants
pubmed: 35940498
pii: S0303-2647(22)00137-X
doi: 10.1016/j.biosystems.2022.104756
pii:
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
104756Informations de copyright
Copyright © 2022. Published by Elsevier B.V.