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- 2Identifiability
- 2Mathematical models
- 1Cell-cell adhesion
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- 1Drug resistance
- 3Graduate and Postdoctoral Studies (GPS), Faculty of
- 3Graduate and Postdoctoral Studies (GPS), Faculty of /Theses and Dissertations
- 1Biological Sciences, Department of
- 1Biological Sciences, Department of/Journal Articles (Biological Sciences)
- 1Mathematical and Statistical Sciences, Department of
- 1Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
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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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Spring 2018
In both health and disease, cells interact with one another through cellular adhesions. Normal development, wound healing, and metastasis all depend on these interactions. These phenomena are commonly studied using continuum models (partial differential equations). However, a mathematical...
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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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Spatially-explicit matrix models: A mathematical analysis of stage-structured integrodifference equations.
Download2004-01-01
This paper is concerned with mathematical analysis of the ‘critical domain-size’ problem for structured populations. Space is introduced explicitly into matrix models for stage-structured populations. Movement of individuals is described by means of a dispersal kernel. The mathematical analysis...