Classification of 3-node restricted excitatory-inhibitory networks

• Type: Article in International Scientific Journal
• Date: 2025

Authors

Aguiar, Manuela (Author) FEP; dias, aps (Author) FCUP; Stewart, I (Author) Other

Journal

Title: Mathematical Biosciences

Vol. 380

ISSN: 0025-5564

Publisher: Elsevier

Indexing

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Other information

Authenticus ID: P-017-6HB

DOI: 10.1016/j.mbs.2024.109372

Abstract (EN): We classify connected 3-node restricted excitatory-inhibitory networks, extending our previous paper (Aguiar et al., 2024). We assume that there are two node-types and two arrow-types, excitatory and inhibitory; all excitatory arrows are identical and all inhibitory arrows are identical; and excitatory (resp. inhibitory) nodes can only output excitatory (resp. inhibitory) arrows. The classification is performed under the following two network perspectives: ODE-equivalence and minimality; and valence <= 2. The results of this and the previous work constitute a first step towards analyzing dynamics and bifurcations of excitatory-inhibitory networks and have potential applications to biological network models.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17