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Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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  • 18 2017

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Items (1-18) out of 18 results

Association Between PM2.5 and Lung Cancer Incidence Rates (United States 1999-2013 Ecological Study with Generalized Linear Mixed Model)

Description:
Abstract Introduction: Cancer is a leading cause of death worldwide, accounting for 8.8 million deaths in 2015, and among which Lung Cancer consists 1.69 million …
Year:
2017
Contributor:
Nakanishi, Masahiro (creator)
Sullivan, Adam (Advisor)
Zheng, Tongzhang (Advisor)
Galárraga, Omar (Reader)
Sandstede, Björn (Advisor)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
PM2.5
Lung Cancer
Multilevel models (Statistics)
Generalized Linear Mixed Model
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Chemotactic Response Models for Motile Bacteria

Description:
Motile bacteria swim in fluid environments propelled by one or more flagella, spiral filaments that are attached to the cell body and a rotary motor. …
Year:
2017
Contributor:
Kilikian, Virginia Eirini (creator)
maxey, MARTIN (Advisor)
Sandstede, Bjorn (Reader)
Matzavinos, Anastasios (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Chemotaxis--Mathematical models
Random walks (Mathematics)
Biology--Mathematical models
Bacteria
Monte Carlo method
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Entrepreneurship and cities: examining the link between startup rates and economic growth across the United States

Description:
This paper measures both the correlation and causal relationship between startups and urban economic growth in the U.S. over the past thirty years. Correlation results …
Year:
2017
Contributor:
Rosen, Jamie B. (author)
Mehrotra, Neil (advisor)
Sandstede, Bjorn (reader)
Brown University (sponsor)
Genre:
theses
Subject:
Entrepreneurship
Economic development
New business enterprises
Cities
Collection:
Applied Mathematics
Theses and Dissertations
Economics
Theses and Dissertations
Full Record

Image Compression and Data Clustering: New Takes on Some Old Problems

Description:
We explore two topics in this thesis: (1) entropy rate on images, and (2) robust generalized clustering method. On the first topic, we examine the …
Year:
2017
Contributor:
Wang, Wei-Ying (creator)
Geman, Stuart (Advisor)
Harrison, Matthew (Reader)
Bienenstock, Elie (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Image compression
unsupervised clustering
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

A longitudinal analysis of self-rated health among women in Cebu, Philippines

Description:
We analyze the self-rated health (SRH) of women in Cebu, Philippines. In three surveys conducted between 2002 and 2007, each woman in the study cohort …
Year:
2017
Contributor:
Mendoza, Monica-Ann (author)
Sullivan, Adam (advisor)
Trillos, Nicolas Garcia (reader)
Brown University (sponsor)
Genre:
theses
Subject:
Health
Philippines
Biostatistics
Machine learning
Collection:
Biology and Medicine
Theses and Dissertations
Applied Mathematics
Theses and Dissertations
Full Record

Modeling Intracellular Transport during Messenger RNA Localization in Xenopus Oocytes

Description:
Many organisms need to establish spatial orientation during early development. In egg cells (oocytes) of the frog Xenopus laevis, spatial differentiation is achieved by localization …
Year:
2017
Contributor:
Ciocanel, Maria-Veronica (creator)
Sandstede, Bjorn (Advisor)
Maxey, Martin (Reader)
McKinley, Scott (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Developmental biology
Differential equations, Partial
mathematical modelling
Dynamics
Xenopus laevis
Fluorescence microscopy
Parameter estimation
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Modeling pattern formation on zebrafish

Description:
The zebrafish (Danio rerio), a widely-studied model organism, is a small fish with distinctive black and yellow stripes on its body and fins. Numerous experimental …
Year:
2017
Contributor:
Volkening, Alexandria (creator)
Sandstede, Bjorn (Advisor)
Bernoff, Andrew (Reader)
Maxey, Martin (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Biology--Mathematical models
mathematical modelling
Pattern formation (Biology)
Zebra danio
Self-organizing systems
dynamical systems
Pattern formation (Physical sciences)
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Modeling the Evolution of Antimalarial Drug Resistance for Clinically Realistic Pharmacokinetics

Description:
Prevalent in sub-Saharan Africa and Asia, malaria, caused by the parasite Plasmodium affects over 200 million people yearly. One widely used antimalarial is the antifolate …
Year:
2017
Contributor:
Pou, Sovijja (creator)
Weinreich, Daniel (thesis advisor)
Ogbunugafor, Brandon (reader)
Matzavinos, Anastasios (reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Malaria
Drug resistance
Antimalarials
Population genetics
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Multigrid and Domain Decomposition Methods in Fault-Prone Environments

Description:
Many scientific simulations rely on the solution of very large linear systems of equations, and multigrid and domain decomposition methods are widely used solvers. It …
Year:
2017
Contributor:
Glusa, Christian Alexander (creator)
Ainsworth, Mark (Advisor)
Karniadakis, George (Reader)
Guzman, Johnny (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Numerical Anlaysis
Scientific Computation
Fault-tolerant computing
Multigrid methods (Numerical analysis)
Domain Decomposition methods
Fractional Laplacian
Non-Local Equations
Iterative methods (Mathematics)
High performance computing
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Multiscale and Mesoscopic Modeling of Soft Matter and Biophysical Systems Using High Performance Computing and Machine Learning

Description:
This dissertation is composed around the subject of multiscale modeling of soft matter and biophysical systems with applications using large-scale computations. Specifically, it is expanded …
Year:
2017
Contributor:
Tang, Yu-Hang (creator)
Karniadakis, George (Advisor)
Maxey, Martin (Reader)
Baker, Nathan (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Machine Learning
Polymers
Biophysics
Scientific Computation
High performance computing
Polymeric drug delivery systems
Soft Matter
Molecular dynamics--Computer simulation
Graphics Processing Units (GPU)
Force Field
Computer simulation
Multiscale modeling
Parallel programming
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Nonlinear Limiters for Discontinuous Galerkin Method

Description:
This dissertation presents parametrized maximum principle preserving (MPP) flux limiters and an artificial diffusion weighed essentially non-oscillatory (WENO) limiter for discontinuous Galerkin (DG) methods solving …
Year:
2017
Contributor:
Zhao, Bingyu (creator)
Zhu, Jun (Reader)
Fu, Guosheng (Reader)
Shu, Chi-Wang (Advisor)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Discontinuous Galerkin Methods
maximum principle preserving limiter
hyperbolic conservation law
artificial diffusion WENO limiter
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Positivity-Preserving High-Order Discontinuous Galerkin Methods: Implicit Time Stepping and Applications to Relativistic Hydrodynamics

Description:
The positivity-preserving property is a highly desirable property when designing high order numerical methods for hyperbolic conservation laws, since negative values sometimes cause ill-posedness of …
Year:
2017
Contributor:
Qin, Tong (creator)
Shu, Chi-Wang (Advisor)
Guzman, Johnny (Reader)
Darbon, Jerome (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Numerical Anlaysis
Scientific Computation
Positivity Preserving
Implicit Time Stepping
Relativistic Hydrodynamics
Discontinuous Galerkin Methods
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Problems at the Interface of Probability and Convex Geometry: Random Projections and Constrained Processes

Description:
Convex sets in high-dimensional linear spaces are classical objects of study that have long enjoyed rich connections with probability theory. Interest in these connections has …
Year:
2017
Contributor:
Kim, Steven Soon (creator)
Ramanan, Kavita (Advisor)
Dupuis, Paul (Reader)
Wang, Hui (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Applied mathematics
Limit theorems (Probability theory)
Large deviations
Convex geometry
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Regularity Theory of Elliptic and Parabolic Equations and Systems

Description:
In this dissertation, we study regularity theory of elliptic and parabolic equations and systems with irregular coefficients. In the first part of the dissertation, we …
Year:
2017
Contributor:
Zhang, Hong (creator)
Dong, Hongjie (Advisor)
Guo, Yan (Reader)
Dafermos, Constantine (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Applied mathematics
Differential equations, Elliptic
Differential equations, Parabolic
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Statistical Learning Tools for Information Fusion in Computational Fluid Dynamics

Description:
For more than a decade, remarkable scientific progress in computational fluid dynamics (CFD) has been achieved via powerful collection of tools for exascale simulations, data-driven …
Year:
2017
Contributor:
Lee, Seungjoon (creator)
Karniadakis, George (Advisor)
Kevrekidis, Ioannis (Advisor)
Maxey, Martin (Reader)
Perdikaris, Paris (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Machine Learning
Domain Decomposition methods
Computational fluid dynamics
Gappy data
Exascale simulation
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Theory and Computation for Modern Probabilistic Models

Description:
Modern probabilistic models involve computation and analysis in very high-dimensional spaces. Here we explore several of ways in which analysis of problems high dimensional spaces …
Year:
2017
Contributor:
Loper, Jackson Hoy (creator)
Geman, Stuart (Advisor)
Ramanan, Kavita (Reader)
Harrison, Matthew (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Machine Learning
Poisson processes
Biometry
Brownian motion processes
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Traffic-flow models: analysis, estimation and control

Description:
My research focuses on the study of traffic-flow models and their applications. Macroscopic and microscopic models are the two main approaches: macroscopic models describe the …
Year:
2017
Contributor:
Xia, Chao (creator)
Sandstede, Bjorn (Advisor)
Dafermos, Constantine (Reader)
Harrison, Matthew (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
data assimilation
Traffic accidents
traffic bottleneck
Traffic flow--Mathematical models
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

“A Derivation and Analysis of the N-point Hierarchy For Conservation Laws And Multistable Dynamics with White Noise in the Allen-Cahn Equation

Description:
The first part of this thesis concerns conservation laws subject to random initial conditions. Using a discrete set of values for the solution, one can …
Year:
2017
Contributor:
Caginalp, Carey (creator)
Menon, Govind (Advisor)
Dafermos, Constantine (Reader)
Kaspar, David (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Differential equations, Partial
Stochastics
Probabilities
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Items (1-18) out of 18 results