Browsing Theses by Supervisor "Ingalls, Brian"
Now showing items 1-4 of 4
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Dimensionality Reduction of the Chemical Master Equation
(University of Waterloo, 2019-01-11)The dynamics of biochemical systems show significant variability when the reactant populations are small. Standard approaches via deterministic modeling exclude such variability. A well established stochastic model, the ... -
Efficient Finite-difference Methods for Sensitivity Analysis of Stiff Stochastic Discrete Models of Biochemical Systems
(University of Waterloo, 2017-12-07)In the study of Systems Biology it is necessary to simulate cellular processes and chemical reactions that comprise biochemical systems. This is achieved through a range of mathematical modeling approaches. Standard methods ... -
Mathematical Modeling of C elegans L1 aggregation
(University of Waterloo, 2020-01-16)First-stage larvae (L1s) of the nematode Caenorhabditis elegans aggregate after starvation. I develop a mathematical model of this behavior based on the classic Keller-Segel model. In the Keller-Segel model, organisms ... -
Optimal Experimental Design Applied to Models of Microbial Gene Regulation
(University of Waterloo, 2020-12-22)Microbial gene expression is a comparatively well understood process, but regulatory interactions between genes can give rise to complicated behaviours. Regulatory networks can exhibit strong context dependence, time-varying ...