Date of Completion
2019
Document Type
Honors College Thesis
Department
Mathematics
Thesis Type
College of Arts and Science Honors, Honors College
First Advisor
Chris Danforth
Second Advisor
Matt Mahoney
Third Advisor
Peter Dodds
Keywords
neuron, chimera state, nonlinear dynamics, coupled oscillator
Abstract
Chimera states—the coexistence of synchrony and asynchrony in a nonlocally-coupled network of identical oscillators—are often sought as a model for epileptic seizures. This work investigates that connection, seeking chimera states in a network of modified Hindmarsh-Rose neurons connected in the graph of the mesoscale mouse connectome. After an overview of chimera states for neurologists, and an overview of neurology for mathematicians, previous connections between chimera states and seizures are reviewed in the current scientific literature. The model was found to be of sufficient quality to produce superficially epileptiform activity. The limitations of the model were investigated, depending on the strength of connections between subcortices within a cortex and between cortices. A wide swath of parameter space revealed persistent chimera states.
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Recommended Citation
Mitchell, Henry M., "Chimera States and Seizures in a Mouse Neuronal Model" (2019). UVM Honors College Senior Theses. 326.
https://scholarworks.uvm.edu/hcoltheses/326