Browsing Theses by Title
Now showing items 8821-8840 of 15573
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Mathematical Modeling of the Twin Roll Casting Process for Magnesium Alloy AZ31
(University of Waterloo, 2013-01-23)Although Twin Roll Casting (TRC) process has been used for almost 60 years in the aluminum industry, TRC of magnesium is relatively new. In TRC, molten metal is fed onto water-cooled rolls, where it solidifies and is then ... -
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 Modeling of Transient Transport Phenomena in PEM Fuel Cells
(University of Waterloo, 2009-12-07)The dynamic performance of polymer electrolyte membrane fuel cells (PEMFCs) is of great interest for mobile applications such as in automobiles. However, the length scale of a PEM fuel cell's main components are ranging ... -
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 ... -
Mathematical Modelling of the Intrarenal Renin Angiotensin System in Hypertension
(University of Waterloo, 2023-04-24)Hypertension is the leading cause of cardiovascular disease and premature death world-wide. It is a highly multi-factorial disease associated with multiple risk factors and patho-physiological changes, including impaired ... -
Mathematical Modelling of the Material Flow and Microstructural Evolution During the Extrusion of AA3003 Aluminum Alloy
(University of Waterloo, 2013-09-25)A comprehensive mathematical model of the hot extrusion process for aluminum alloys has been developed and validated. The model is capable of predicting the material flow behaviour and microstructure evolution that occurs ... -
Mathematical models for angiogenic, metabolic and apoptotic processes in tumours
(University of Waterloo, 2014-08-15)This doctoral thesis outlines a body of research within the field of mathematical oncology that focusses on the inclusion of microenvironmental factors in mathematical models for solid tumour behaviour. These models primarily ... -
Mathematical Models of Mitochondria in the Kidney and Liver
(University of Waterloo, 2022-03-24)Mitochondria are key players in several kinds of tissue injury, and are even the site of mechanism of certain diseases. In this work we introduce new models of mitochondrial ATP generation in multiple tissues, including ... -
Mathematical Programming Based Synthesis of Rice Drying Processes
(University of Waterloo, 2009-05-21)Various drying models have been developed in the extent which they are available for the analysis of drying processes in a variety of practical drying systems. However, most were focused only on a single unit operation; ... -
Mathematical Programming Formulations of the Planar Facility Location Problem
(University of Waterloo, 2007-09-24)The facility location problem is the task of optimally placing a given number of facilities in a certain subset of the plane. In this thesis, we present various mathematical programming formulations of the planar ... -
Mathematical simulation of a dipole delivery system for in-situ remediation
(University of Waterloo, 2010-02-19)Abstract In-situ remediation using reactive zones is a promising groundwater contaminant treatment technology that involves the injection of a reagent(s) into the subsurface to destruct harmful target chemicals. For ... -
Matrix analytic methods for computations in risk theory
(University of Waterloo, 2019-01-15)The introduction of matrix analytic methods in risk theory has marked a significant progress in computations in risk theory. Matrix analytic methods have proven to be powerful computational tools for numerically analyzing ... -
Matrix Formulations of Matching Problems
(University of Waterloo, 2000)Finding the maximum size of a matching in an undirected graph and finding the maximum size of branching in a directed graph can be formulated as matrix rank problems. The Tutte matrix, introduced by Tutte as a representation ... -
Matrix Metalloproteinase-2 Cleavable Peptide-Based siRNA Delivery System for Cancer Treatment
(University of Waterloo, 2019-09-23)Among all kinds of gene therapy, siRNA, a class of 20 to 25 nucleotide-long double-stranded RNA molecules, is one of the promising therapeutic solutions to regulate post-transcriptional process for cancer treatment. However, ... -
Matrix Polynomials and their Lower Rank Approximations
(University of Waterloo, 2019-08-07)This thesis is a wide ranging work on computing a “lower-rank” approximation of a matrix polynomial using second-order non-linear optimization techniques. Two notions of rank are investigated. The first is the rank as the ... -
Matrix Representations and Extension of the Graph Model for Conflict Resolution
(University of Waterloo, 2009-08-07)The graph model for conflict resolution (GMCR) provides a convenient and effective means to model and analyze a strategic conflict. Standard practice is to carry out a stability analysis of a graph model, and then to ...