Theses - Applied Mathematics and Theoretical Physics
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Inherent Instabilities and Discontinuities: The Kuramoto-Sivashinsky Equation and a Suspension Flow as Exemplars
In this thesis, we will be studying two problems with significant small-time asymptotic structures with inherent instabilities and discontinuities. First, we consider the concentration of particles in suspension in a shear ... -
On the Foundations of Computation and Sampling for Reconstruction and Approximation
These days we use numerical methods in a large variety of applications. Many of them are security sensitive, like image reconstruction and classification in health care or scene detection for self-driving cars. In these ... -
Biological Physics of Collective Motion: Circular Milling in Symsagittifera roscoffensis and Related Questions of Self-Organisation
Collective motion, a phenomenon resulting from the interactions of many individuals, occurs across the natural world across all length scales, from the flocking of birds to the swirling of Bacillus subtilis bacteria. ... -
Fully Automated Segmentation of High Grade Serous Ovarian Cancer on Computed Tomography Images using Deep Learning
In this thesis, we investigate how deep neural networks can be used for the fully automated segmentation of high grade serous ovarian cancer. The recent rise of deep learning has pushed the limits of what algorithms can ...
