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Skip to Search Results- 6Mathematical models
- 2Identifiability
- 1Aboriginal
- 1Agent based Model
- 1Autoimmune disease
- 1Bifurcation
- 2Li, Michael (Department of Mathematical and Statistical Sciences)
- 1Dr. Michael Li (Department of Mathematical and Statistical Sciences)
- 1Dr. Richard Long (School of Public Health and Department of Medicine)
- 1Li, Michael (Mathematical and Statistical Sciences)
- 1Li, Michael Y. (Mathematics and Statistical Sciences)
- 1Power, Christopher (Division of Neurology, Department of Medicine)
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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 Models and Inverse Algorithms for Childhood Infectious Diseases with Vaccination - Case Studies in Measles
DownloadFall 2014
Children are at a high risk of infection since they have not yet developed mature immunity. Childhood infectious diseases, such as measles, chicken pox and mumps, remain epidemic and endemic around the world. Yet, their dynamics are still not fully understood. SIR-type models have been proposed...
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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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Parameter Estimation of Mathematical Models: Estimation of the Burden of HIV Epidemics as a Case Study
DownloadFall 2016
Mathematical models are widely used to describe dynamics in various fields. In practice, it is necessary and important to determine model parameters based on existing data. A major challenge for parameter estimation under modeling framework lies in non-identifiability issue: parameter values on a...
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Periodic solutions and bistability in a model for cytotoxic T-lymphocyte (CTL) response to human T-cell lymphotropic virus type I (HTLV-I)
DownloadFall 2009
HTLV-I is the first discovered human retrovirus and a causative agent of both adult T-cell leukemia (ATL) and HTLV-I-associated myelopathy (or tropical spastic paraparesis) (HAM/TSP). Previous models have been successful in providing insight into the progression of HTLV-I infection. The...
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The Effectiveness of Tuberculosis Control Strategies that Target Social Determinants of Health in Three First Nations and Métis Communities: A Mathematical Modeling Approach
DownloadFall 2017
BACKGROUND: Despite the overall decline in tuberculosis (TB) incidence in Canada, rates among Indigenous peoples have not decreased since the late 1990s. On-going transmission associated with the time from the onset of symptoms to treatment have been identified as major contributor to the...