Browsing Waterloo Research by Author "Nicola, Wilten"
Now showing items 1-6 of 6
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The Impact of Small Time Delays on the Onset of Oscillations and Synchrony in Brain Networks
Al-Darabsah, Islam; Chen, Liang; Nicola, Wilten; Campbell, Sue Ann (Frontiers Publishing, 2021-07)The human brain constitutes one of the most advanced networks produced by nature, consisting of billions of neurons communicating with each other. However, this communication is not in real-time, with different communication ... -
Mean field analysis gives accurate predictions of the behaviour of large networks of sparsely coupled and heterogeneous neurons
Nicola, Wilten; Njap, Felix; Ferguson, Katie; Skinner, Frances; Campbell, Sue Ann (BioMed Central, 2014-07-21)Large networks of integrate-and-fire (IF) model neurons are often used to simulate and study the behaviour of biologically realistic networks. However, to fully study the large network behaviour requires an exploration of ... -
Mean-field models for heterogeneous networks of two-dimensional integrate and fire neurons
Nicola, Wilten; Campbell, Sue Ann (Frontiers Media, 2017-12-27)We analytically derive mean-field models for all-to-all coupled networks of heterogeneous, adapting, two-dimensional integrate and fire neurons. The class of models we consider includes the Izhikevich, adaptive exponential ... -
Nonsmooth Bifurcations of Mean Field Systems of Two-Dimensional Integrate and Fire Neurons
Nicola, Wilten; Campbell, Sue Ann (Society for Industrial and Applied Mathematics, 2016)Mean field systems have recently been derived that adequately predict the behaviors of large networks of coupled integrate-and-fire neurons [W. Nicola and S.A. Campbell, J. Comput. Neurosci., 35 (2013), pp. 87-108]. The ... -
Normalized Connectomes Show Increased Synchronizability with Age through Their Second Largest Eigenvalue
Nicola, Wilten; Campbell, Sue Ann (Society for Industrial and Applied Mathematics, 2021-01)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 these brain regions, the connectivity ... -
One-Dimensional Population Density Approaches To Recurrently Coupled Networks Of Neurons With Noise
Nicola, Wilten; Ly, Cheng; Campbell, Sue Ann (Society for Industrial and Applied Mathematics, 2015)Mean-field systems have been previously derived for networks of coupled, two-dimensional, integrate-and-fire neurons such as the Izhikevich, adapting exponential, and quartic integrate-and-fire, among others. Unfortunately, ...