The non linear dynamics of retinal waves
Adaptation and Self-Organizing Systems
2023-08-25 v1 Neurons and Cognition
Abstract
We investigate the dynamics of stage II retinal waves via a dynamical system, grounded on biophysics, and analysed with bifurcation theory. We show how the nonlinear cells coupling and bifurcation structure explain how waves start, propagate, interact and stop. Especially, we analyse how the existence of a small region in parameter space, where dynamics returns in a recurrent way, gives rise to a very rich dynamics. In this context, we propose a non linear transport equation characterizing the waves propagation and interaction.
Cite
@article{arxiv.2308.12579,
title = {The non linear dynamics of retinal waves},
author = {Bruno Cessac and Dora Matzakou-Karvouniari},
journal= {arXiv preprint arXiv:2308.12579},
year = {2023}
}
Comments
51 pages, 56 figures