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Modeling the Transmission of Tuberculosis in Long-Term Care Facilities using a Network Model
DownloadFall 2012
Tuberculosis (TB) infection in the elderly is frequently misdiagnosed. The resulting treatment delay may increase TB transmission which is higher in long-term care (LTC) facilities. The CDC's recommendations to prevent and control TB in LTC facilities include TB education and better initial...
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Fall 2017
Epstein-Barr virus (EBV) is a “kissing disease virus” that has infected more than 95% of the adult human population. It has been associated with diseases such as Acute Infectious Mononucleosis (AIM) and post-transplant lymphoproliferative disorder (PTLD). The kinetics of primary EBV infection has...
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A graph-theoretic approach to the construction of Lyapunov functions for coupled systems on networks
DownloadFall 2010
For coupled systems of differential equations on networks, a graph-theoretic approach to the construction of Lyapunov functions is systematically developed in this thesis. Kirchhoff’s Matrix-Tree Theorem in graph theory plays an essential role in the approach’s development. The approach is...
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Fall 2014
In this thesis a mathematical model of HIV transmission and diagnosis is used to estimate the total size of the HIV-positive population and the HIV incidence from HIV case report data for the Province of Alberta. Worldwide, estimates of the size of the HIV-positive population are used to...
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Mathematical modeling of HIV-1 therapeutic initiatives: shock and kill strategy in the brain and the natural control of the virus in the plasma
DownloadSpring 2024
This thesis is based on four main studies. The first two studies present a detailed methodology for completing dynamical system parameter estimation using Bayesian inference. The next two studies are about using this methodology to investigate critical human immunodeficiency virus-1 therapeutic...