3 citations · 4 across the 4 of their papers we have counts for
7 papers
Exact mean-field models for spiking neural networks with adaptation
Liang Chen, Sue Ann Campbell
Networks of spiking neurons with adaption have been shown to be able to reproduce a wide range of neural activities, including the emergent population bursting and spike synchrony…
Hysteresis bifurcation and application to delayed Fitzhugh-Nagumo neural systems
Liang Chen, Sue Ann Campbell
Hysteresis dynamics has been described in a vast number of biological experimental studies. Many such studies are phenomenological and a mathematical appreciation has not attracted…
M-current Induced Bogdanov-Takens Bifurcation and Switching of Neuron Excitability Class
Isam Al-Darabsah, Sue Ann Campbell
In this work, we consider a general conductance-based neuron model with the inclusion of the acetycholine sensitive, M-current. We study bifurcations in the parameter space consist…
Normalized Connectomes Show Increased Synchronizability with Age Through Their Second Largest Eigenvalue
Wilten Nicola, Sue Ann Campbell
The synchronization of different brain regions is widely observed under both normal and pathological conditions such as epilepsy. However, the relationship between the dynamics of…
A Phase Model with Large Time Delayed Coupling
Isam Al-Darabsah, Sue Ann Campbell
We consider two identical oscillators with weak, time delayed coupling. We start with a general system of delay differential equations then reduce it to a phase model. With the ass…
Geometric Analysis of Synchronization in Neuronal Networks with Global Inhibition and Coupling Delays
Hwayeon Ryu, Sue Ann Campbell
We study synaptically coupled neuronal networks to identify the role of coupling delays in network's synchronized behaviors. We consider a network of excitable, relaxation oscillat…