Date of Award
12-2020
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Neuroscience Institute
First Advisor
Andrey Shilnikov
Second Advisor
Daniel Cox
Third Advisor
Igor Belykh
Fourth Advisor
Mukesh Dhamala
Abstract
In this modelling work, we adopted geometric slow-fast dissection and parameter continuation approach to study the following three topics: 1. Principles for making the half-center oscillator, a ubiquitous building block for many rhythm-generating neural networks. 2. Causes of a novel electrical behavior of neurons, amplitude modulation, from the view of dynamical systems; 3. Explanation and predictions for two common types of chaotic dynamics in single neuron model. To make our work as general as possible, we used and built both exemplary biologically plausible Hodgkin-Huxley type neuron models and reduced phenomenological neuron models.
DOI
https://doi.org/10.57709/20297319
Recommended Citation
Ju, Huiwen, "Principles for Making Half-center Oscillators and Rules for Torus Bifurcation in Neuron Models." Dissertation, Georgia State University, 2020.
doi: https://doi.org/10.57709/20297319
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