Browsing Mathematics (Faculty of) by Title
Now showing items 1564-1583 of 3020
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Matchings and Covers in Hypergraphs
(University of Waterloo, 2016-05-17)In this thesis, we study three variations of matching and covering problems in hypergraphs. The first is motivated by an old conjecture of Ryser which says that if $\mcH$ is an $r$-uniform, $r$-partite hypergraph which ... -
Matchings and games on networks
(University of Waterloo, 2015-08-20)We investigate computational aspects of popular solution concepts for different models of network games. In chapter 3 we study balanced solutions for network bargaining games with general capacities, where agents can ... -
Matchings and Representation Theory
(University of Waterloo, 2018-12-20)In this thesis we investigate the algebraic properties of matchings via representation theory. We identify three scenarios in different areas of combinatorial mathematics where the algebraic structure of matchings gives ... -
Math and the Fountain of Youth
(University of Waterloo, 2020-12-10)Ageing is associated with impairments in a number of regulatory processes, including in energy dysregulation that affects multiple metabolic pathways and in the circadian rhythms. In the management of metabolic stress ... -
Math Information Retrieval using a Text Search Engine
(University of Waterloo, 2018-05-18)Combining text and mathematics when searching in a corpus with extensive mathematical notation remains an open problem. Recent results for math information retrieval systems on the math and text retrieval task at NTCIR-12, ... -
MathBrush web application: Design and implementation of an online pen-input interface for computer algebra systems
(University of Waterloo, 2017-08-15)Several pen-math systems have been developed for mobile and tablet platforms, most notably by the MathBrush project. With the increasing variety of available devices and platforms used by students, this thesis aims to ... -
Mathematical approaches to the study of cellular heterogeneity, treatment design, and immune response in cancer
(University of Waterloo, 2020-01-09)One of the complicating factors in treating cancer patients is the different levels of heterogeneity involved. In this thesis, we use a combination of mathematical methods (in silico experiments) and experimental data (in ... -
Mathematical Aspects of Scalar-Tensor Field Theories
(University of Waterloo, 2016-09-27)This thesis is based on a study of Lagrange scalar densities which are, in general, concomitants of the metric tensor gij (and its first and second derivatives) together with a scalar field ∅ (and its first derivative). ... -
A mathematical foundation for the use of cliques in the exploration of data with navigation graphs
(University of Waterloo, 2023-01-19)Navigation graphs were introduced by Hurley and Oldford (2011) as a graph-theoretic framework for exploring data sets, particularly those with many variables. They allow the user to visualize one small subset of the variables ... -
A Mathematical Model of CA1 Hippocampal Neurons with Astrocytic Input
(University of Waterloo, 2009-06-22)Over time astrocytes have been thought to function in an auxiliary manner, providing neurons with metabolic and structural support. However, recent research suggests they may play a fundamental role in the generation and ... -
A Mathematical Model of the Bag-Cell Neuron in Aplysia Californica
(University of Waterloo, 2011-09-26)Aplysia Californica are marine mollusks with a relatively simple central nervous system that makes them ideal for investigating neurons. The bag-cell neuron is found in the Aplysia and is important due to its activity ... -
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 ... -
Mathematical Modeling of Kidney Function During Pregnancy
(University of Waterloo, 2022-05-16)During pregnancy major adaptations must occur in the maternal body to be able to support the rapidly developing fetus and placenta. Adaptations occur in almost all tissues and organs. These changes are dynamic, complex, ... -
Mathematical Modeling of Secondary Malignancies and Associated Treatment Strategies
(University of Waterloo, 2014-05-21)Several scientific and technological advancements in radiation oncology have resulted in dramatic improvements in dose conformity and delivery to the target volumes using external beam radiation therapy (EBRT). However, ... -
Mathematical Modeling of the Vaporization of Encapsulated Perfluorocarbon Nanodroplets using Chirp Ultrasound
(University of Waterloo, 2023-08-29)Ultrasound imaging is the use of sound waves beyond the human frequency range to construct images of human tissue. This is carried out through the measurement of reflected and scattered waves from the interfaces between ... -
Mathematical Modelling and Numerical Simulation of Marine Ecosystems With Applications to Ice Algae
(University of Waterloo, 2013-07-26)Sea-ice ecosystem modelling is a novel field of research. In this thesis, the main organism studied is sea-ice algae. A basic introduction to algae and its importance in the aquatic food web is given first. An introduction ... -
Mathematical Modelling of Cancer Stem Cells
(University of Waterloo, 2009-08-06)The traditional view of cancer asserts that a malignant tumour is composed of a population of cells, all of which share the ability to divide without limit. Within the last decade, however, this notion has lost ground ... -
Mathematical Modelling of Cancer Treatments Involving Radiation Therapy and Hypoxia-Activated Prodrugs
(University of Waterloo, 2019-08-19)Cancer is one of the world's deadliest diseases despite immense investments into oncological research in recent years. Although great strides have been made in our understanding of cancer, much remains unknown regarding ... -
Mathematical Modelling of Social Factors in Decision Making Processes at the Individual and Population Levels
(University of Waterloo, 2016-08-11)In this thesis we apply mathematical modelling techniques to investigate the implications of social influence on decision making processes in two related contexts. The first problem concerns the mathematical modelling ... -
Mathematical modelling of supraglacial meltwater production and drainage
(University of Waterloo, 2021-08-30)Mountain glaciers and the polar ice sheets exert a critical control on water resource availability, drive sea level change, and impact global ocean circulation. These and other impacts are controlled by surface meltwater ...