Browsing Mathematics (Faculty of) by Supervisor "Campbell, Sue Ann"
Now showing items 1-5 of 5
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Bifurcation Analysis of Large Networks of Neurons
(University of Waterloo, 2015-12-23)The human brain contains on the order of a hundred billion neurons, each with several thousand synaptic connections. Computational neuroscience has successfully modeled both the individual neurons as various types of ... -
Clustering behaviour in networks with time delayed all-to-all coupling
(University of Waterloo, 2017-08-30)Networks of coupled oscillators arise in a variety of areas. Clustering is a type of oscillatory network behavior where elements of a network segregate into groups. Elements within a group oscillate synchronously, while ... -
Model for a cortical circuit associated with childhood absence epilepsy
(University of Waterloo, 2019-08-23)Childhood absence epilepsy is suspected to result from mutations in genes which encode ion channels including sodium channels. Our purpose in this thesis is to explore some of the factors that alter the function of neurons ... -
Model for the RE-TC thalamic circuit with application to childhood absence epilepsy
(University of Waterloo, 2019-08-12)Childhood absence epilepsy (CAE) is an idiopathic neurological disorder affecting roughly 2-8 children per 100,000 children worldwide. It is characterized by absence seizures, or short lapses in consciousness, and the ... -
Persistent oscillations in the Aplysia bag cell network
(University of Waterloo, 2017-08-24)Persistence is a phenomena by which a resting neuron enters a state of persistent behavior following a brief stimulus. Persistent neural systems can exhibit long-term responses that remain after the stimulus is removed, ...