#### Dissertations from 2020

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

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

INTEGRATED STUDY OF LIVER FIBROSIS: MODELING AND CLINICAL DETECTION, Hao Chen

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

NOVEL ESTIMATION METHODS FOR SENSITIVITY AND AUC IN MEDICAL DIAGNOSTIC STUDY, Yan Hai

Some Novel Interval Estimation Methods, Xinjie Hu

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

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

Math Modeling of Interlimb Coordination in Cat Locomotion, Elizaveta Latash

#### Dissertations from 2019

COMPARISON OF VARIOUS DISCRETIZATION ALGORITHMS FOR STABLE ESTIMATION OF DISEASE PARAMETERS AND FORECASTING IN EPIDEMIOLOGY, Aurelie Akossi

DENSITY AND CHROMATIC INDEX, AND MINIMUM RANKS OF SIGN PATTERN MATRICES, Guangming Jing

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

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

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

#### Dissertations from 2018

Capacities and Cancellation, Robin Baidya

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

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

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

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

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

Decentralized Parameter Estimation, Ben Sirb

A Computation Study of Biofilm Development and Dispersal, Howard Smith

Empirical Likelihood Inferences in Survival Analysis, Xue Yu

Sign Patterns that Allow Diagonalizability, Christopher Michael Zagrodny

#### Dissertations from 2017

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

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

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

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

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

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

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

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

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

#### Dissertations from 2016

Novel Nonparametric Methods For ROC Curves, Yueheng An

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

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

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

Some Novel Statistical Inferences, Chenxue Li

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

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

Spanning Halin Subgraphs Involving Forbidden Subgraphs, Ping Yang

Matchings and Tilings in Hypergraphs, Chuanyun Zang

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

#### Dissertations from 2015

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

New Extensions and Applications of Geršgorin Theory, Rachid Marsli

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

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

#### Dissertations from 2014

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

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

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

#### Dissertations from 2013

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

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

New Non-Parametric Methods for Income Distributions, Shan Luo

Intersection Algebras and Pointed Rational Cones, Sara Malec

Iteratively Regularized Methods for Inverse Problems, Leslie J. Meadows

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

#### Dissertations from 2012

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

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

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

Jackknife Emperical Likelihood Method and its Applications, Hanfang Yang

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

#### Dissertations from 2011

Some Topics in Roc Curves Analysis, Xin Huang

Treatment Comparison in Biomedical Studies Using Survival Function, Meng Zhao

Statistical Inferences for the Youden Index, Haochuan Zhou