Bifurcation transitions in gap-junction-coupled neurons

Abstract

Here we investigate transitions occurring in the dynamical states of pairs of distinct neurons electrically coupled, with one neuron tonic and the other bursting. Depending on the dynamics of the individual neurons, and for strong enough coupling, they synchronize either in a tonic or a bursting regime, or initially tonic transitioning to bursting via a period doubling cascade. Certain intrinsic properties of the individual neurons such as minimum firing rates are carried over into the dynamics of the coupled neurons affecting their ultimate synchronous state.

Cooperative maintenance of cellular identity in systems with intercellular communication defects

“…To investigate the global dynamics of a population of beta-cells, we introduced electrical coupling by adding the following gap-junctional coupling term to the equation for V (i) that describes bi-directional transport of ions between the cells [7], [25]:…”

Route to Chaos and Chimera States in a Network of Memristive Hindmarsh-Rose Neurons Model with External Excitation

“…In the same vein, several artificial synapse models for presynaptic and postsynaptic neuron coupling have been developed in the literature. Some of them are hybrid synapse [16], Josephson junction synapse [17], memristive synapse [18], electrical synapse [19,20], and chemical synapse [21]. Following that, a large number of single neurons [22][23][24][25][26][27][28][29] and coupled neurons [27,[30][31][32][33][34][35][36][37][38][39][40][41][42] models have been introduced and addressed in the literature using the quoted artificial synapses.…”