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MSc Defence: A Combined Ode Model of Carbohydrate Fermentation and Colorectal Cancer (Alexandra (Lexy) Lawryshyn)

CANDIDATE: Alexandra (Lexy) Lawryshyn ABSTRACT: We formulate and analyze a system of non-linear ordinary differential equations that describe key metabolic and immunological interactions between butyrate produced by fiber- fermenting gut microbiota, colorectal cancer cells and host cell populations. The model is studied both independently and in conjunction with a pre-existing carbohydrate fermentation model. The parameter space is explored through steady-state and sensitivity analyses. Simulation experiments are conducted to illustrate the...

PhD Defence: New Entanglement-Assisted Codes and Mathematical Structures in Quantum Error Correction (Serge Adonsou)

CANDIDATE: Serge Adonsou ABSTRACT:  Quantum information processing promises exponential advantages for certain computational and communication tasks, but practical quantum devices are inherently vulnerable to de-coherence and operational imperfections. This thesis develops new algebraic and analytical tools for quantum error correction (QEC) aimed at unifying entanglement-assisted coding theory with operator-algebra frameworks, while also providing mathematically rigorous insights for continuous-variable photonic implementations. First...

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