Classification of 2-node excitatory-inhibitory networks

• Type: Article in International Scientific Journal
• Date: 2024

Authors

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

Journal

Title: Mathematical Biosciences

Vol. 373

ISSN: 0025-5564

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Other information

Authenticus ID: P-010-DT7

DOI: 10.1016/j.mbs.2024.109205

Abstract (EN): We classify connected 2-node excitatory-inhibitory networks under various conditions. We assume that, as well as for connections, there are two distinct node-types, excitatory and inhibitory. In our classification we consider four different types of excitatory-inhibitory networks: restricted, partially restricted, unrestricted and completely unrestricted. For each type we give two different classifications. Using results on ODE-equivalence and minimality, we classify the ODE-classes and present a minimal representative for each ODE-class. We also classify all the networks with valence <= 2 . These classifications are up to renumbering of nodes and the interchange of 'excitatory' and 'inhibitory' on nodes and arrows. These classifications constitute a first step towards analysing dynamics and bifurcations of excitatory-inhibitory networks. The results have potential applications to biological network models, especially neuronal networks, gene regulatory networks, and synthetic gene networks.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16