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Dissertations from 2024

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On Stable Parameter Estimation and Optimal Control in Epidemiology, Mona Baroonian

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Mathematical modeling and simulation of tissue engineering: A comprehensive study of nutrient flow, nutrient dynamics and scaffold elasticity, Haniyeh Fattahpour

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Neural Networks and Approximation of High-dimensional Functions: Applications in Control and Partial Differential Equations, Nathan Gaby

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Histopathology Whole Slide Image-Assisted Diagnosis from Sampling Error to Predictive Response and Survival Analysis, Qiang Li

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Regularity Criteria via the Frobenius Euler Characteristic, Ryan Wilson

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Orthogonal Similarity via Transversal Intersection of Manifolds, Hanfei Xu

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Advances on Similarity via Transversal Intersection of Manifolds, Zheng Yang

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Topics in Graph Theory and Computational Neuroscience — Linear Arboricity, Graph f-density and Quadruped Locomotion, Guoning Yu

Dissertations from 2023

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Emergent Collective Dynamics with Applications in Bridge Engineering and Social Networks, Kevin Daley

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Researches on the coloring of multigraphs, Yanli Hao

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Berge - Fulkerson Conjecture And Mean Subtree Order, Nizamettin Tokar

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Sample Empirical Likelihood under Complex Survey Design and Bayesian Jackknife Empirical Likelihood-based Inference for Missing Data and Partial AUC, Yuke Wang

Dissertations from 2022

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A Compartmentalized Mathematical Models of Normal and Failing Mouse Cardiac Myocytes, Tesfaye Negash Asfaw

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Signed Graphs with Maximum Nullity at Most Two, Fredrick S. Dahlgren

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Expert Cognition During Proof Construction Using the Principle of Mathematical Induction, Catrina May

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Novel Jackknife Empirical Likelihood With Applications In The Measurement Error Data, Brian Pidgeon

Dissertations from 2021

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Counting Generating Sets in Frobenius Skew Polynomial Rings, Alan M. Dills

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Network Inference, Influence Estimation and Maximization via Neural Mean-field Dynamics on Diffusion Network, Shushan He

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Analysis of Risk and Fund Performance, Weimin Liu

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Extensions of Vizing fans and Vizing's Theorem in graph edge coloring, Xuli Qi

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Modeling Evolution of Intratumor Phenotypic Heterogeneity in Metastasis and Cancer Drug Resistance, Bin Zhang

Dissertations from 2020

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Novel Empirical Likelihood Methods for Two-sample Problems and the Applications in Survival Analysis, Kangni Alemdjrodo

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Phase Clusters and Chimeras in Networks of Kuramoto Oscillators with Inertia, Barrett N. Brister

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Graph edge coloring and a new approach to the overfull conjecture, Yan Cao

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A Category-Theoretic Compositional Framework of Perceptron-Based Neural Networks plus an Architecture for Modeling Sequences Conditioned to Time-Structured Context: An Implementation of a Generative Model of Jazz Solo Improvisations, Rodrigo Ivan Castro Lopez Vaal

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Integrated Study of Liver Fibrosis: Modeling and Clinical Detection, Hao Chen

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An In-Depth Investigation Of How An Undergraduate Mathematics Major Student Learns The Concept Of Proof, Shanah K. Grant

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Novel Estimation Methods for Sensitivity And AUC in Medical Diagnostic Study, Yan Hai

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Some Novel Interval Estimation Methods, Xinjie Hu

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Prime Characteristic Aspects in the Study of Stanley-Reisner Rings and Monomial Ideals, Irina Georgeana Ilioaea

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Examining the Role of Assessment in a Transition-to-proof Course: Teaching Practices and Evaluation, Adam Kellam

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Math Modeling of Interlimb Coordination in Cat Locomotion, Elizaveta Latash

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Topological Properties of J-Orthogonal Matrices, Seyedeh Sara Moosavi Motlaghian

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Novel Empirical Likelihood Inference Procedures for Zero-Inflated and Right Censored Data and Their Applications, Faysal I. Satter

Dissertations from 2019

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Comparison of Various Discretization Algorithms for Stable Estimation of Disease Parameters and Forecasting in Epidemiology, Aurelie Akossi

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Density and Chromatic Index, and Minimum Ranks of Sign Pattern Matrices, Guangming Jing

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Maximally Even Tilings: Theory and Algorithms, Jeremiah D. Kastine

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Novel Nonparametric Methods in Functional Time Series and Diagnostic Medicine, Husneara Rahman

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Novel Statistical Methods for Censored Medical Cost and Breast Cancer Data, Guanhao Wei

Dissertations from 2018

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Capacities and Cancellation, Robin Baidya

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Integrated Mathematical and Experimental Study of Cell Migration and Shape, Xiuxiu He

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The Stability and Control of Stochastically Switching Dynamical Systems, Russell C. Jeter

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Generalizing and Transferring Mathematical Definitions from Euclidean to Taxicab Geometry, Aubrey Kemp

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Preservice Teachers' Understanding Of Geometric Definitions And Their Use In The Concept Of Special Quadrilaterals, Jeffrey E. McCammon

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Characterizing F-rationality of Cohen-Macaulay Rings via Canonical Modules, Shuenn Ng

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Decentralized Parameter Estimation, Ben Sirb

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A Computation Study of Biofilm Development and Dispersal, Howard Smith

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An Estimation of County-Level Vaccination Coverage for Human Papillomavirus Vaccine among Adolescents Aged 13-17 Years in South Eastern United States of America Using Bayesian and Spatial Effects Models, David Yankey

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Empirical Likelihood Inferences in Survival Analysis, Xue Yu

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Sign Patterns that Allow Diagonalizability, Christopher Michael Zagrodny

Dissertations from 2017

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Modeling Rhythm Generation in Swim Central Pattern Generator of Melibe Leonina, Deniz Alacam

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Investigating the Development of Proof Comprehension: The Case of Proof by Contradiction, Darryl J. Chamberlain Jr.

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Regularized Numerical Algorithms For Stable Parameter Estimation In Epidemiology And Implications For Forecasting, Linda DeCamp

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Estimation of County-Level Diabetes Prevalence Using Bayesian Hierarchical Model, Israel Anbessa Hora

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Bayesian Methods in Brain Connectivity Change Point Detection with EEG Data and Genetic Algorithm, Bing Liu

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A Mathematical Model for β1-adrenergic Regulation of the Mouse Ventricular Myocyte Contraction, Paula D. Mullins

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Synchronization in Neuronal Networks with Electrical and Chemical Coupling, Reimbay Reimbayev

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A Mathematical Model of the Combined β1- and β2-Adrenergic Signaling System in the Mouse Ventricular Myocyte, Kelvin Rozier

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Intersection of Longest Paths in Graph Theory and Predicting Performance in Facial Recognition, Amy Yates

Dissertations from 2016

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Novel Nonparametric Methods For ROC Curves, Yueheng An

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Synchronization in Dynamical Networks with Mixed Coupling, Douglas M. Carter Jr.

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Minimum Ranks and Refined Inertias of Sign Pattern Matrices, Wei Gao

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Constructing Empirical Likelihood Confidence Intervals for Medical Cost Data with Censored Observations, Jenny Vennukkah Jeyarajah

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Some Novel Statistical Inferences, Chenxue Li

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Some Results on Generalized Complementary Basic Matrices and Dense Alternating Sign Matrices, Mikhail Stroev

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Functional Principal Component Analysis for Discretely Observed Functional Data and Sparse Fisher?s Discriminant Analysis with Thresholded Linear Constraints, Jing Wang

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Statistical Models and Analysis of Growth Processes in Biological Tissue, Jun Xia

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Spanning Halin Subgraphs Involving Forbidden Subgraphs, Ping Yang

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Matchings and Tilings in Hypergraphs, Chuanyun Zang

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Analysis of traveling wave propagation in one-dimensional integrate-and-fire neural networks, Jie Zhang

Dissertations from 2015

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Perfect Matchings, Tilings and Hamilton Cycles in Hypergraphs, Jie Han

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On Regularized Newton-type Algorithms and A Posteriori Error Estimates for Solving Ill-posed Inverse Problems, Hui Liu

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New Extensions and Applications of Geršgorin Theory, Rachid Marsli

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Homeomorphically Irreducible Spanning Trees, Halin Graphs, and Long Cycles in 3-connected Graphs with Bounded Maximum Degrees, Songling Shan

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Computational Study in Chaotic Dynamical Systems and Mechanisms for Pattern Generation in Three-Cell Networks, Tingli Xing

Dissertations from 2014

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Calculus Students' Understanding of the Derivative in Relation to the Vertex of a Quadratic Function, Annie Burns

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Union Closed Set Conjecture and Maximum Dicut in Connected Digraph, Nana Li

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The Teaching and Learning of Parametric Functions: A Baseline Study, Harrison Stalvey

Dissertations from 2013

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Nonparametric Inferences for the Hazard Function with Right Truncation, Haci Mustafa Akcin

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Advanced Designs of Cancer Phase I and Phase II Clinical Trials, Ye Cui

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New Non-Parametric Methods for Income Distributions, Shan Luo

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Intersection Algebras and Pointed Rational Cones, Sara Malec

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Iteratively Regularized Methods for Inverse Problems, Leslie J. Meadows

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Clustering, Classification, and Factor Analysis in High Dimensional Data Analysis, Yanhong Wang

Dissertations from 2012

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Stability Analysis of Phase-Locked Bursting in Inhibitory Neuron Networks, Sajiya Jesmin Jalil

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Statistical Evaluation of Continuous-Scale Diagnostic Tests with Missing Data, Binhuan Wang

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Neural Cartography: Computer Assisted Poincare Return Mappings for Biological Oscillations, Jeremy J. Wojcik

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Jackknife Emperical Likelihood Method and its Applications, Hanfang Yang

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Mathematical Methods for Network Analysis, Proteomics and Disease Prevention, Kun Zhao

Dissertations from 2011

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Some Topics in Roc Curves Analysis, Xin Huang

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Three Topics in Analysis: (I) The Fundamental Theorem of Calculus Implies that of Algebra, (II) Mini Sums for the Riesz Representing Measure, and (III) Holomorphic Domination and Complex Banach Manifolds Similar to Stein Manifolds, Panakkal J. Mathew

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Treatment Comparison in Biomedical Studies Using Survival Function, Meng Zhao

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Statistical Inferences for the Youden Index, Haochuan Zhou

Dissertations from 2009

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A Generalization of AUC to an Ordered Multi-Class Diagnosis and Application to Longitudinal Data Analysis on Intellectual Outcome in Pediatric Brain-Tumor Patients, Yi Li