A Logic-Based Differential Equation Model Of Endothelial Cell Function,
2026
University of South Carolina
A Logic-Based Differential Equation Model Of Endothelial Cell Function, Ella Froedge, Scarlett Hamilton, Mitchel Colebank
Biology and Medicine Through Mathematics Conference
No abstract provided.
Gap Junction Architecture And Synchronization Clusters In The Thalamic Reticular Nuclei,
2026
SUNY New Paltz
Gap Junction Architecture And Synchronization Clusters In The Thalamic Reticular Nuclei, Alex Norwood
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Multiscale Computational Framework Coupling Pulmonary Arterial Blood Flow And Lung Tissue Perfusion,
2026
North Carolina State University at Raleigh
A Multiscale Computational Framework Coupling Pulmonary Arterial Blood Flow And Lung Tissue Perfusion, Nigar Sultana, Hangjie Ji, Mette Sofie Olufsen
Biology and Medicine Through Mathematics Conference
No abstract provided.
Dynamical Systems Modeling To Determine The Role Of Crosstalk In Shaping Stat Signaling Profiles,
2026
University of Pittsburgh
Dynamical Systems Modeling To Determine The Role Of Crosstalk In Shaping Stat Signaling Profiles, Laura F. Strube, Anamarie Martinez, Neha Cheemalavagu, Karsen Shoger, James Faeder, Rachel Gottschalk
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Stochastic And Spatial Model Of Microtubule Dynamics In Neuronal Dendrites,
2026
Duke University
A Stochastic And Spatial Model Of Microtubule Dynamics In Neuronal Dendrites, Meghan Kwon
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Phylogeny Informed Mathematical Model Of Hpai H5n1 Transmission And Control In Multi Host Systems,
2026
University of Georgia
A Phylogeny Informed Mathematical Model Of Hpai H5n1 Transmission And Control In Multi Host Systems, Oluwatosin Babasola
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Modeling Of The Combined Effects Of Thermal Burn And Local Irradiation,
2026
Applied Research Associates, Inc.
Mathematical Modeling Of The Combined Effects Of Thermal Burn And Local Irradiation, Quintessa Hay, Rachel Jennings, Amy Creel, Kyle Gaffney, Christina Wagner, Kidist Maxwell, Ginu Unnikrishnan, Tyler Dant
Biology and Medicine Through Mathematics Conference
No abstract provided.
Parameter Sensitivity, Identifiability, And Estimation For A Data-Driven Model Of Malaria,
2026
Howard University
Parameter Sensitivity, Identifiability, And Estimation For A Data-Driven Model Of Malaria, Katharine Gurski, Kathleen Hofman
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mitigating Parameter Identifiability Issues Through Model Calibration On The Data-Informed Active Subspace: An Example In Tumor Growth,
2026
Lafayette College
Mitigating Parameter Identifiability Issues Through Model Calibration On The Data-Informed Active Subspace: An Example In Tumor Growth, Allison L. Lewis, Rebecca A. Everett
Biology and Medicine Through Mathematics Conference
No abstract provided.
Incorporating Thermal Performance Curves Into Population Dynamic Models For The West Nile Vector, Culex Pipiens,
2026
Virginia Polytechnic Institute and State University
Incorporating Thermal Performance Curves Into Population Dynamic Models For The West Nile Vector, Culex Pipiens, Benjamin Bruncati, Helle Aronson, Chloé Lahondère, Michael A. Robert
Biology and Medicine Through Mathematics Conference
No abstract provided.
Identifiability, Sequentiality And Infinity,
2026
Wayne State University
Identifiability, Sequentiality And Infinity, Jose L. Menaldi
Mathematics Faculty Research Publications
Abstract: A definition of identifiable-sets is used with sequential analysis to establish a realm of mathematics. Within this imaginary world, a specific consonant between infinite sets and sequentiality is reached. This consonant allows some mathematical constructions to model pieces of the reality, based on dual philosophy and physics itself. There is an effort made to render this understandable for the scientific community.
A Mathematical & Computational Study Of Voting Power In Social Choice Systems,
2026
University of San Diego
A Mathematical & Computational Study Of Voting Power In Social Choice Systems, Madison T. Gambon
Undergraduate Honors Theses
This thesis develops a computational framework for measuring the vulnerability of voting rules to coordinated strategic manipulation. While classical results show that most voting systems are theoretically manipulable, less is known about the magnitude of coordination required to alter outcomes or how that magnitude varies across institutional designs. I define the minimal manipulating coalition size k* as the smallest number of voters whose strategic ballot changes can overturn a sincere election outcome under a given rule. To enable cross-election comparison, I introduce the normalized manipulation threshold θ = k*/n . Using algorithmic search procedures and Monte Carlo simulation, I estimate …
Momentum Space Algorithm For Electronic Structure Of Double-Incommensurate Trilayer Graphene,
2026
Louisiana State University and Agricultural and Mechanical College
Momentum Space Algorithm For Electronic Structure Of Double-Incommensurate Trilayer Graphene, Kenneth Silver Beard
LSU Doctoral Dissertations
Numerical algorithms for computing the electronic structure of incommensurate 2D-materials using ab initio models are critical for predicting material properties and guiding experiments. For bilayers, momentum space and continuum models have been introduced to approximate observables of ab initio tight-binding models using a momentum description, despite the lack of periodicity in the tight-binding model required for Bloch theory. A similar structure has been introduced for double-incommensurate trilayers using a continuum model, where the three lattices are mutually incommensurate. However, this description leads to a four-dimensional lattice space, and numerical convergence of the density of states has been observed to be …
Largest 2-Regular Subgraphs In Complete S-Partite Graphs,
2026
Department of Electrical and Systems Engineering
Largest 2-Regular Subgraphs In Complete S-Partite Graphs, Yiyang Jiang
McKelvey School of Engineering Graduate Student Theses & Dissertations
In this thesis, we focus on the class of complete $S$-partite graphs, for $S$ an undirected graph possibly with self-loops, and address the problem of finding largest $2$-regular subgraphs of these graphs, which can be formulated as an integer linear program. Roughly speaking, a complete $S$-partite graph is obtained by replacing every single node of $S$ with a number of nodes, preserving the edge/non-edge relations of $S$. Our motivation in studying largest $2$-regular subgraphs is rooted in the structural systems theory, particularly in the problem of finding largest subnetworks that can sustain controllability or asymptotic stability of the corresponding subsystems. …
A Two-Phase Perspective On A Related-Rates Paradox,
2026
Northern Illinois University
A Two-Phase Perspective On A Related-Rates Paradox, Charlie Vazquez Acosta
Honors Capstones
Related-rates problems are a standard topic in first-year calculus and have appeared in textbooks for over 150 years. These problems are used to teach implicit differentiation and the relationship between changing quantities. Common examples include the falling ladder, the fishing bobber, the melting snowball, and the leaking conical tank. In each of these problems, a quantity is changing at a constant rate, and students are asked to find the rate of change of another related quantity. While the computations themselves are usually straightforward, the standard models lead to unrealistic results near the end of the motion. For example, the falling …
Phenological Overlap In Obligate Plant-Pollinator Mutualism,
2026
University of Texas at Arlington
Phenological Overlap In Obligate Plant-Pollinator Mutualism, Austin J. Carlson
2026 Spring Honors Capstones Projects
Plant-pollinator mutualisms require temporal overlap between flowering and pollinator activity, so climate-driven timing shifts can weaken the interaction and, in severe cases, destabilize the system. This work investigates how reduced overlap affects persistence in an obligate plant-pollinator pair using a coupled differential equation model in which a phenological overlap factor scales the saturating mutualistic benefit. Simplification with a constant overlap enables closed-form equilibrium and stability analysis, revealing that below a critical overlap threshold, coexistence is no longer maintained. Rescaling reduces the parameter space from ten quantities to seven dimensionless groups, and sensitivity analysis identifies the degree of species dependence and …
Machine Learning For Handwritten Character Recognition,
2026
Northern Illinois University
Machine Learning For Handwritten Character Recognition, Hannah Freitag
Honors Capstones
Handwritten character recognition remains a challenging problem in machine learning due to the high variability of handwriting across individuals and the visual similarity between certain character classes. This project explores whether Singular Value Decomposition (SVD)-based dimensionality reduction can serve as an effective preprocessing step for a fully connected neural network trained on the EMNIST Balanced dataset, a 47-class benchmark of handwritten digits and letters. By projecting 784- dimensional pixel inputs onto the top 70 principal components, approximately 90% of the total variance is preserved while reducing input dimensionality by 91%. The resulting SVD-based model achieves approximately 94% test accuracy, outperforming …
Inertial Dynamics Of Non-Spherical Particles In Fluid Flows,
2026
Montclair State University
Inertial Dynamics Of Non-Spherical Particles In Fluid Flows, Takashi Yashiro
Theses, Dissertations and Culminating Projects
We investigate the dynamics of small inertial spherical and non-spherical particles in fluid flows. We consider the Maxey-Riley-Gatignol (MRG) equation, which models well the motion of spherical inertial particles in low Reynolds number flows. To study how shape affects the dynamics, we implement a corrective factor on the Stokes drag term in the MRG equation. This corrective factor, or shape factor, is based on the geometric properties of the particles. The Basset-Boussinesq history term in the MRG equation is often neglected to simplify analytical and computational studies involving the equation. We include this history term and implement a multi-step integration …
An Exploration Of The Autorotating Pendulum Model,
2026
Montclair State University
An Exploration Of The Autorotating Pendulum Model, Vlad Nita
Theses, Dissertations and Culminating Projects
Autorotation is the spontaneous rotation of an object, usually caused by an external fluid flow. The study of autorotation has many physical applications, such as in the design of wind/water turbines. In this thesis, we explore a nonlinear pendulum ordinary differential equation (ODE) which is used to model rotating plates in a fluid and has the capacity to reveal autorotation. In the context of an ODE, autorotation emerges as a bifurcation past oscillations, when the initial velocity of the system crosses a particular threshold. In his classic study from 1983, Lugt [14] utilizes this equation to capture experimental autorotation. Copeland’s …
A New Approach To Generate Combinatorial Patterns In Logical Analysis Of Data And Its Application To Predict College Retention,
2026
Florida Institute of Technology
A New Approach To Generate Combinatorial Patterns In Logical Analysis Of Data And Its Application To Predict College Retention, Salihah Ahmed E. Jaafari
Theses and Dissertations
Student retention and degree completion remain central challenges for higher-education institutions, with significant implications for student success, institutional effectiveness, and public accountability. While advances in predictive analytics have enabled earlier identification of students at risk of withdrawal, many commonly used machine learning approaches suffer from limited interpretability, constraining their practical usefulness for advising, intervention, and policy decision making. This dissertation addresses the problem of predicting student persistence by developing and evaluating optimization based, interpretable classification models within the Logical Analysis of Data (LAD) framework. Building on existing LAD formulations, this research introduces two novel pattern generation models, the Best Term …
