Structure and function in artificial, zebrafish and human neural networks

Revealing neural dynamical structure of C. elegans with deep learning

“…The energy landscape approach serves as a valuable tool for examining stochastic dynamics in biological networks. 18 , 25 , 26 , 27 , 28 , 29 It has been employed to uncover global properties of the dynamics of complex networks. Inspired by the previous studies on the energy landscape, we introduce the Gaussian noise to our DNN model to study the stochasticity and calculate the energy landscape of the neural system.…”

Resilience of the slow component in timescale-separated synchronized oscillators

“…The synchronization dynamics of coupled phase oscillators finds numerous applications ranging from Josephson junctions and electrical power grids to physiological networks ( Wiesenfeld et al, 1998 ; Pikovsky et al, 2003 ; Acebrón et al, 2005 ; Strogatz, 2014 ; Stiefel and Ermentrout, 2016 ; Ji et al, 2023 ). The collective behavior displayed by these systems is made possible by the interplay between the internal parameters of the individual dynamical units and the interaction coupling their degrees of freedom ( Winfree, 1967 ; Kuramoto, 1975 ; Kuramoto, 1984 ; Strogatz, 2000 ).…”

Presentation1.pdf

“…The synchronization dynamics of coupled phase oscillators finds numerous applications ranging from Josephson junctions and electrical power grids to physiological networks (Wiesenfeld et al, 1998;Pikovsky et al, 2003;Acebrón et al, 2005;Strogatz, 2014;Stiefel and Ermentrout, 2016;Ji et al, 2023). The collective behavior displayed by these systems is made possible by the interplay between the internal parameters of the individual dynamical units and the interaction coupling their degrees of freedom (Winfree, 1967;Kuramoto, 1975;Kuramoto, 1984;Strogatz, 2000).…”