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Skip to Search Results- 7Frei, Christoph (Mathematical and Statistical Sciences)
- 7Kong, Linglong (Mathematical and Statistical Sciences)
- 7Lewis, Mark (Mathematical and Statistical Sciences)
- 6Han, Bin (Mathematical and Statistical Sciences)
- 6Hillen, Thomas (Mathematical and Statistical Sciences)
- 6Mizera, Ivan (Mathematical and Statistical Sciences)
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Fall 2016
Understanding human immunodeficiency-1 (HIV-1) replication and latency in different reservoirs is an ongoing challenge in the care of patients with HIV/AIDS. A mathematical model was created that predicted HIV-1 and simian immunodeficiency virus (SIV) infection dynamics within the brain during...
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Fall 2018
Ionizing radiation is widely used in treatment and medical diagnosis. Doses in the range of 1.5 Gy to 10 Gy are used in radiation treatment of cancer. Lower doses (less than 1.5 Gy) are used in medical imaging, and also are incurred by tissues that are near irradiated target volumes. The impact...
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Fall 2017
This thesis focuses on formulating and analyzing non linear models for microbial dynamics vis-a-vis human and environmental health. Firstly, we develop and investigate a stoichiometric organic matter decomposition model in a chemostat culture that incorporates the dynamics of grazers. This...
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Fall 2013
Partial differential equations (PDEs) have been used to model the movement of bacteria, phages, and animals. Species movement and competition exist in many interesting practical applications such as dental plaque, animal movement, and infectious diseases. This dissertation consists of three main...
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Spring 2012
In this thesis, we will study singular solutions of the Kadomtsev-Petviashvili equation (ut+6uux+uxxx)x+3α^2 u_yy=0, α^2=±1 that will help improve our understanding and if possible give indicators to the occurrence of rogue waves. We will only study the nonlinear interaction of two such...
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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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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...