The non linear dynamics of retinal waves - Inria - Institut national de recherche en sciences et technologies du numérique
Article Dans Une Revue Physica D: Nonlinear Phenomena Année : 2022

The non linear dynamics of retinal waves

Résumé

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.
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Dates et versions

hal-03485137 , version 1 (17-12-2021)
hal-03485137 , version 2 (03-07-2022)

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Citer

Bruno Cessac, Dora Matzakou-Karvouniari. The non linear dynamics of retinal waves. Physica D: Nonlinear Phenomena, 2022, ⟨10.1016/j.physd.2022.133436⟩. ⟨hal-03485137v2⟩
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