Browsing Applied Mathematics by Title
Now showing items 19-38 of 489
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Backscatter in stratified turbulence
(Elsevier, 2016-11)In this paper, kinetic and potential energy transfers around a spectral test fil ter scale in direct numerical simulations of decaying stratified turbulence are studied in both physical and spectral domains. It is shown ... -
Bandlimited functions, curved manifolds, and self-adjoint extensions of symmetric operators
(University of Waterloo, 2008-05-20)Sampling theory is an active field of research that spans a variety of disciplines from communication engineering to pure mathematics. Sampling theory provides the crucial connection between continuous and discrete ... -
Bayesian Analysis of Intratumoural Oxygen Data
(University of Waterloo, 2009-08-28)There is now ample evidence to support the notion that a lack of oxygen (hypoxia) within the tumour adversely affects the outcome of radiotherapy and whether a patient is able to remain disease free. Thus, there is increasing ... -
Bayesian Inference Methods Applied to Cancer Research
(University of Waterloo, 2009-12-11)The purpose of this Thesis is to present a Bayesian analysis of oncological data sets with particular focus on cervical carcinomas and ovarian cancers. Bayesian methods of data analysis have a very long history, and ... -
Best response dynamics improve sustainability and equity outcomes in common-pool resources problems, compared to imitation dynamics
(Journal of Theoretical Biology, 2021-01-21)Shared resource extraction among profit-seeking individuals involves a tension between individual benefit and the collective well-being represented by the persistence of the resource. Many game theoretic models explore ... -
Bidirectional TopK Sparsification for Distributed Learning
(University of Waterloo, 2022-05-27)Training large neural networks requires a large amount of time. To speed up the process, distributed training is often used. One of the largest bottlenecks in distributed training is communicating gradients across different ... -
Bifurcation analysis and application for impulsive systems with delayed impulses
(World Scientific, 2017-11)In this article, we present a systematic approach to bifurcation analysis of impulsive systems with autonomous or periodic right-hand sides that may exhibit delayed impulse terms. Methods include Lyapunov–Schmidt reduction ... -
Bifurcation analysis of a system of Morris-Lecar neurons with time delayed gap junctional coupling
(University of Waterloo, 2008-08-27)We consider a system of two identical Morris-Lecar neurons coupled via electrical coupling. We focus our study on the effects that the coupling strength, γ , and the coupling time delay, τ , cause on the dynamics of the ... -
Bifurcation Analysis of Large Networks of Neurons
(University of Waterloo, 2015-12-23)The human brain contains on the order of a hundred billion neurons, each with several thousand synaptic connections. Computational neuroscience has successfully modeled both the individual neurons as various types of ... -
Bifurcation and Robust Control of Instabilities in the Presence of Uncertainties
(University of Waterloo, 2022-10-06)In real-world applications, nominal mathematical models that are used to describe the state behaviors of dynamical systems are usually less robust to deal with environmental disruptions. Uncertainties, such as imprecision ... -
Bifurcation of Bounded Solutions of Impulsive Differential Equations
(World Scientific Publishing, 2016-12-30)In this article, we examine nonautonomous bifurcation patterns in nonlinear systems of impulsive differential equations. The approach is based on Lyapunov–Schmidt reduction applied to the linearization of a particular ... -
Black Hole to White Hole Quantum Tunnelling
(University of Waterloo, 2019-08-26)In this thesis, we explore the proposal that near the end of its lifetime, a Schwarzschild black hole will undergo a quantum transition into a 'white hole': an object which is precisely the time-reversal of the black hole. ... -
Bohmian Trajectories of the Two-Electron Helium Atom
(University of Waterloo, 2008-01-17)We introduce the de Broglie-Bohm causal interpreation of quantum mechanics and compare it to the standard interpretation of quantum mechanics, the Copenhagen interpretation. We examine the possibility of experimentally ... -
Boundary-Bound Reactions: Pattern Formation with and without Hydrodynamics
(University of Waterloo, 2022-08-23)Pattern formation through chemical morphogenesis has received a significant amount of attention since Alan Turing's original analysis in a Chemical Basis for Morphogenesis. In that article, Turing showed the surprising ... -
Bounded Control of the Kuramoto-Sivashinsky equation
(University of Waterloo, 2013-10-25)Feedback control is used in almost every aspect of modern life and is essential in almost all engineering systems. Since no mathematical model is perfect and disturbances occur frequently, feedback is required. The design ... -
Bounded Rationality Alters The Dynamics Of Paediatric Immunization Acceptance
(Nature Publishing Group, 2015-06-02)Interactions between disease dynamics and vaccinating behavior have been explored in many coupled behavior-disease models. Cognitive effects such as risk perception, framing, and subjective probabilities of adverse events ... -
Brownian Dynamics Simulation of Dusty Plasma: Comparison with Generalized Hydrodynamics
(University of Waterloo, 2010-04-14)Brownian dynamics (BD) simulation method has been widely used for studying problems in dispersed systems, such as polymer solutions, colloidal suspensions and more recently, complex (dusty) plasmas. The main problem addressed ... -
Calcium Transport and Regulation in Male and Female Rat Kidney
(University of Waterloo, 2023-05-16)Calcium is an essential mineral that plays a critical role in many biological processes, such as muscle contraction, nerve function, and bone health. However, maintaining the right balance of calcium in the body is crucial ... -
Carrot Or Stick? Modelling How Landowner Behavioural Responses Can Cause Incentive-Based Forest Governance To Backfire
(Public Library of Science, 2013-10-30)Mitigating the negative impacts of declining worldwide forest cover remains a significant socio-ecological challenge, due to the dominant role of human decision-making. Here we use a Markov chain model of land-use dynamics ... -
Cerebrospinal Fluid Pulsations and Aging Effects in Mathematical Models of Hydrocephalus
(University of Waterloo, 2010-08-20)In this Thesis we develop mathematical models to analyze two proposed causative mechanisms for the ventricular expansion observed in hydrocephalus: cerebrospinal fluid pulsations and small transmantle pressure gradients. To ...