Browsing Applied Mathematics by Title
Now showing items 263-282 of 492
-
Mean field analysis gives accurate predictions of the behaviour of large networks of sparsely coupled and heterogeneous neurons
(BioMed Central, 2014-07-21)Large networks of integrate-and-fire (IF) model neurons are often used to simulate and study the behaviour of biologically realistic networks. However, to fully study the large network behaviour requires an exploration of ... -
Mean-field models for heterogeneous networks of two-dimensional integrate and fire neurons
(Frontiers Media, 2017-12-27)We analytically derive mean-field models for all-to-all coupled networks of heterogeneous, adapting, two-dimensional integrate and fire neurons. The class of models we consider includes the Izhikevich, adaptive exponential ... -
Measurements of quantum fields and the Unruh effect: a particle detector perspective
(University of Waterloo, 2021-11-19)This thesis is devoted to the study of detector models in quantum field theory. A detector model aims to describe a hypothetical physical situation, realistic or not, in which a measurement is performed on a quantum field ... -
Microcolony Dynamics: Motion from Growth, Order, and Incompressibility
(University of Waterloo, 2023-04-27)Rod-shaped bacteria such as E. coli reproduce by expanding along their long axis and splitting into pairs of daughter cells. If conditions are favourable for growth, they will continue in this way, doubling repeatedly until ... -
Microswimmer Propulsion by Two Steadily Rotating Helical Flagella
(MDPI, 2019-01-01)Many theoretical studies of bacterial locomotion adopt a simple model for the organism consisting of a spheroidal cell body and a single corkscrew-shaped flagellum that rotates to propel the body forward. Motivated by ... -
Model for a cortical circuit associated with childhood absence epilepsy
(University of Waterloo, 2019-08-23)Childhood absence epilepsy is suspected to result from mutations in genes which encode ion channels including sodium channels. Our purpose in this thesis is to explore some of the factors that alter the function of neurons ... -
A Model for Shear Response in Swimming Plankton
(University of Waterloo, 2016-08-11)The responses of zooplankton to the hydrodynamic variables of their environment, such as shear, are not well understood. We examine stochastic swimming models of the run and tumble type for plankton moving in a velocity ... -
Model for the RE-TC thalamic circuit with application to childhood absence epilepsy
(University of Waterloo, 2019-08-12)Childhood absence epilepsy (CAE) is an idiopathic neurological disorder affecting roughly 2-8 children per 100,000 children worldwide. It is characterized by absence seizures, or short lapses in consciousness, and the ... -
Model-based Reinforcement Learning of Nonlinear Dynamical Systems
(University of Waterloo, 2022-01-25)Model-based Reinforcement Learning (MBRL) techniques accelerate the learning task by employing a transition model to make predictions. In this dissertation, we present novel techniques for online learning of unknown dynamics ... -
Modeling and simulation of uni- and multi-flagellar bacterial locomotion in a viscous fluid
(University of Waterloo, 2023-01-16)Flagellated bacteria categorized as microorganisms, play vital roles in human life such that their beneficial and detrimental effects on different aspects of the ecosystem are indisputable. Flagellated bacteria propel ... -
Modeling and Stabilizability of Voltage-Actuated Piezoelectric Beams with Magnetic Effects
(Society for Industrial and Applied Mathematics, 2014-01-01)Models for piezoelectric beams and structures with piezoelectric patches generally ignore magnetic effects. This is because the magnetic energy has a relatively small effect on the overall dynamics. Piezoelectric beam ... -
Modeling human-coupled common pool resource systems with techniques in evolutionary game theory and reinforcement learning
(University of Waterloo, 2021-05-26)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. In these systems, the decisions of ... -
Modeling Interactions of Graphene with Electrolyte in the Field-Effect Transistor Configuration
(University of Waterloo, 2015-08-14)Understanding interactions of graphene with an electrolyte is fundamental to its applications for chemical and biological sensors, where graphene operates in the configuration of a field-effect transistor with its surface ... -
The modeling of blood rheology in small vessels
(University of Waterloo, 2005)Blood is a dense suspension of flexible red blood cells. In response to a background flow, these cells distribute themselves non-uniformly throughout the vessel. As a result, material properties that are well defined ... -
Modeling of Brain Tumors: Effects of Microenvironment and Associated Therapeutic Strategies
(University of Waterloo, 2009-09-29)Gliomas are the most common and aggressive primary brain tumors. The most common treatment protocols for these brain tumors are combinations of surgery, chemotherapy and radiotherapy. However, even with the most aggressive ... -
Modeling of Cancer Signaling Pathways
(University of Waterloo, 2013-09-13)Cancer is an ongoing problem all over the world. To find a cure to this disease, both clinicians and scientists are looking for a reasonable treatment method. According to Hanahan and Weinberg, one of the hallmarks of ... -
Modeling Photoluminescence Decay Dynamics in Nanocrystals
(University of Waterloo, 2016-08-17)Photoluminescence resulting from donor-acceptor recombination in gallium oxide nanocrystals was studied at short and long time scales for different nanocrystal sizes. A model for the intensity decay was formulated with two ... -
Modelling Interactions Between Forest Pest Invasions And Human Decisions Regarding Firewood Transport Restrictions
(Public Library of Science, 2014-04-15)The invasion of nonnative, wood-boring insects such as the Asian longhorned beetle (A. glabripennis) and the emerald ash borer (A. planipennis) is a serious ecological and economic threat to Canadian deciduous and mixed-wood ... -
Modelling Internal Solitary Waves and the Alternative Ostrovsky Equation
(University of Waterloo, 2014-04-25)Internal solitary waves (ISWs) are commonly observed in the ocean, and they play important roles in many ways, such as transport of mass and various nutrients through propagation. The fluids considered in this thesis ... -
A modelling investigation into the impacts of the convective parameterization on the tropical circulation
(University of Waterloo, 2017-08-15)Many studies have shown that the tropical circulations (Walker and Hadley circulations) will weaken in a warmer world. This is sometimes attributed to changes in the tropical mean water cycling rate (driven by convective ...