Browsing Dissertations & Theses by Author "Su, Jianzhong"
Now showing items 1-13 of 13
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A Harmonic Function Method for EEG Source Reconstruction
Xi, Hongguang (2016-12-19)Neuronal activities generate the electrical current in the brain, and further result in the potential changes over the scalp. Electroencephalography (EEG) is a technique used to record the potential changes on the ... -
A STUDY ON THE NONLOCAL SHALLOW-WATER MODEL ARISING FROM THE FULL WATER WAVES WITH THE CORIOLIS EFFECT
Sun, Junwei (2017-08-28)The Equatorial Undercurrent is a significant feature of the geophysical waves near the equator, which is one of the key factors to explain El Niño phenomenon. However, based on β-plane approximation, the classical theory ... -
A study on traveling wave solutions in the shallow-water-type system
Luo, Ting (2017-08-08)The study of water waves reveals the physical principles of many phenomena of scientific and engineering interest. In this dissertation I consider three models: two-component Camassa-Holm system(2CH), generalized two-component ... -
Analysis And Simulation In Neuron And Fibrosis Models
Perez Gonzalez, Humberto D. (Mathematics, 2009-09-16)In this work, we use analysis and numerical simulations to study the change of collective behaviorof two synaptically coupled square bursting systems, the effect of noise inan elliptic bursting system and foreign body ... -
Applications And Adaptations Of A Globally Convergent Numerical Method In Inverse Problems
Rhoden, Aubrey (Mathematics, 2013-07-22)In our terminology "globally convergent numerical method" means a numerical method whose convergence to a good approximation of the correct solution is independent of the initial approximation in inverse problems. A numerical ... -
COMPRESSIVE DECONVOLUTION OF MRI IMAGING VIA ℓ1 − ℓ2 REGULARIZATION
Johnson, Talon; 0000-0002-4994-215X (2021-08-09)The evolution of technology has drastically impacted the imaging field, particularly magnetic resonance imaging (MRI). Compared to other imaging technologies, MRI offers multiple contrasting mechanisms to distinguish tissues ... -
Differential Equation Models Of Foreign Body Fibrotic Reactions For Assessing Roles Of Macrophage Phenotypes And Mesenchymal Stem Cells
Owens, LarrissaImplant failure due to fibrotic encapsulation is an ongoing challenge in the bio-medical field. We develop two mathematical models based on partial differential equations in two spatial dimensions, and use them to gain ... -
EVOKED AND SPONTANEOUS NEUROTRANSMITTER RELEASES FOR INDEPENDENT SYNAPTIC CURRENTS: MATHEMATICAL MODELING AND ANALYSIS
Seo, Sat Byul; 0000-0002-9110-271X (2017-08-01)Synapses play a major role in neuron communications in the brain. The synapses act through a chemical process called synaptic fusion between pre-synaptic and post-synaptic terminals. Presynaptic terminals release ... -
A Globally Convergent Numerical Method For Coefficient Inverse Problems
Pantong, Natee (Mathematics, 2009-09-16)In our terminology "globally convergent numerical method" means a numerical method, whose convergence to a good approximation for the correct solution is independent of the initial approximation. A new numerical imaging ... -
Mathematical Modeling of a Network of Neurons Regarding Glucose Transport Deficiency Induced Epileptic Seizures
Leslie, Ariel N (2019-11-21)Epilepsy is a complex phenomena of a system of neurons simultaneously firing that are highly intensive and synchronized. Seizures are a common and well known physical feature for all types of epileptic disorders [8]. ... -
A Modeling Study In The Regulation Of Stress On Neuronal Plasticity
Xiao, PengchengHow stress can affect human cognitive functions has been a very popular topic for researchers from different fields including physiology, psychology, biology, neuroscience, and applied mathematics. Hypothalamic−pituitary−adrenal ... -
Numerical Methods For Spontaneous And Evoked Glutamate Release
Blackwell, Justin ShaneAs synapses are responsible for the majority of neuron communications in the brain, the events of evoked and spontaneous synaptic vesicle release/fusion are key features of all synaptic current. These release events typically ... -
Study Of Multiple Impacts Of A Rigid Body With A Flat Surface
Badiu, Florin Vasile (Mathematics, 2008-08-08)Both analytical and numerical results are presented for two rigid body problems: a rod colliding with the ground, and a rigid thin plate colliding with the ground. The study of the succession of impacts of the rod with the ...