Generalized Wilson-Cowan model with short term synaptic plasticity
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908666827898880 |
|---|---|
| author | Trabocchi, Tommaso Burioni, Raffaella de Arcangelis, Lucilla Fanelli, Duccio |
| author_facet | Trabocchi, Tommaso Burioni, Raffaella de Arcangelis, Lucilla Fanelli, Duccio |
| contents | A generalized version of the Wilson-Cowan (WC) model is proposed which accounts for the evolution of the synaptic resources. Adiabatic elimination of the fast variables is performed to yield a simplified framework for the coupled interaction between active excitatory and inhibitory neurons. The latter model is shown to smoothly converge to the benchmark WC model, when the appropriate limit is performed. Different dynamical regimes are identified for the reduced model and commented upon with reference to the original formulation of the generalized dynamics. This includes identifying limit cycle oscillations for population of available resources. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16252 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Wilson-Cowan model with short term synaptic plasticity Trabocchi, Tommaso Burioni, Raffaella de Arcangelis, Lucilla Fanelli, Duccio Disordered Systems and Neural Networks Statistical Mechanics Adaptation and Self-Organizing Systems A generalized version of the Wilson-Cowan (WC) model is proposed which accounts for the evolution of the synaptic resources. Adiabatic elimination of the fast variables is performed to yield a simplified framework for the coupled interaction between active excitatory and inhibitory neurons. The latter model is shown to smoothly converge to the benchmark WC model, when the appropriate limit is performed. Different dynamical regimes are identified for the reduced model and commented upon with reference to the original formulation of the generalized dynamics. This includes identifying limit cycle oscillations for population of available resources. |
| title | Generalized Wilson-Cowan model with short term synaptic plasticity |
| topic | Disordered Systems and Neural Networks Statistical Mechanics Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2511.16252 |