Physical Sciences and Mathematics Commons^™

Motor Imagery Eeg Decoding For Brain-Computer Interfaces: Structured Representation, Transfer, And Drift, Yiming Shen

Graduate Doctoral Dissertations

Motor imagery EEG decoding is often summarized by the accuracy of a final classifier, but the classifier is only the last stage of the pipeline. Before classification, the signal has already been shaped by preprocessing, feature extraction, source-session organization, and adaptation. This dissertation studies how feature representation, source-session transfer, and drift shape reliable MI-EEG decoding for brain-computer interfaces.

It first studies within-session decoding on public MI-EEG datasets using nested validation that keeps preprocessing, feature fitting, and model selection inside the training folds. This analysis separates gains from feature representation from gains due to nonlinear classification, and relates both comparisons to …

Dynamics Of Swimming Microorganisms At Structured Liquid Crystal Interfaces, Vajra Sabhapathy Badha

Graduate Doctoral Dissertations

Active matter systems are self-driven units that consume energy to generate motion and mechanical stresses, producing non-equilibrium states of broad physical significance. Examples include synthetic microswimmers and migrating cells. Motile bacteria are a widely studied biological example because their self-propelled motion, hydrodynamic interactions, and collective organization are strongly coupled to local environmental conditions. Their swimming is sensitive to interfacial viscoelasticity, ordering, confinement, and hydrodynamic boundary effects, making them useful for investigating how interfaces regulate active biological motion. Because bacterial accumulation and attachment at interfaces are central to colonization and biofilm formation, these interactions are relevant to both active matter physics …

Informationally Complete Measurements In Quantum Theory: Implementation, Geometry, And Correlations, Sachin Gupta

Graduate Doctoral Dissertations

Informationally complete measurements provide a bridge between the operational and geometric structure of quantum theory. They allow quantum states to be reconstructed from measurement probabilities. This thesis studies informationally complete measurements from two complementary perspectives: their physical implementation and their role in the probabilistic reconstruction of quantum theory.

The first part develops a symmetry-driven Naimark extension for rank-one Weyl- Heisenberg covariant Projective Operator-Valued Measures (POVMs) in arbitrary finite dimension. Since every element of such a POVM is generated from a single fiducial state by the Weyl-Heisenberg displacement operators, the full measurement inherits a strong covariance structure. We show that this …

The Grasshopper's Journey To The Bloch Sphere, David Llamas

Graduate Doctoral Dissertations

The Grasshopper Problem asks a simple geometric question. A grasshopper lands on a lawn of fixed area and jumps a fixed distance in a random direction. What shape of lawn maximizes the probability that the grasshopper remains on the lawn after jumping? The jump rule is rotationally symmetric, but the best lawns do not have to be. This dissertation studies how that symmetry breaking occurs, maps the continuum problem to a novel constrained spin system, and uses the spherical Grasshopper Problem to compare quantum singlet correlations with classical local models.

For planar lawns, boundary-integral and perturbative calculations explain why the …

Redesigning Quantum Theory, Matthew Weiss

Graduate Doctoral Dissertations

QBism understands quantum mechanics to be probability theory supplemented by additional nonclassical coherence conditions. In this dissertation, we develop these nonclassical coherence conditions from first principles, emphasizing the role of a well chosen reference measurement. After treating standard probability on subjective Bayesian lines, we demonstrate an equivalence between the QBist approach and the existing framework of generalized probabilistic theories. We show that the fundamental nonclassical coherence relation may almost always be taken to be a gentle modification of the law of total probability, and give a coherentist account of when an experimental scenario has a classical explanation. Finally, we show …

A Statistical Mechanics Approach To Reinforcement Learning, Jacob Adamczyk

Graduate Doctoral Dissertations

Reinforcement learning (RL), the study of optimal decision-making over long timescales in stochastic systems, has recently seen remarkable advances due in large part to the efforts of the deep learning community. RL has witnessed great success in solving problems in video games, robotics, biological control, and language modeling. However, a unified statistical mechanics framework to understand and develop the corresponding algorithms is lacking. To address this issue, we begin by showing that the reinforcement learning problem can be formulated and solved using the tools of statistical mechanics. Drawing on physical principles of free energy minimization and invariance, we address important …

Multicomponent Reaction-Initiated Synthesis Of Polyheterocyclic Compounds, Ashutosh Nath

Graduate Doctoral Dissertations

Efficient synthesis of novel heterocycles with biological interest remains a challenge in modern organic chemistry. This dissertation presents the development of efficient synthetic strategies that combine multicomponent reactions (MCRs) with sequential reactions for rapid access a diverse array of polyheterocyclic compounds. The projects are: 1) Groebke-Blackburn-Bienaymé (GBB) reaction followed by N-acylation and Friedel-Crafts (FC) cyclization for the construction of imidazopyridine- and indole-fused azepinones involving an unusual ring-expansion process. 2) Modified GBB condensation products for intramolecular Diels-Alder (IMDA) cycloaddition and dehydrative re-aromatization to access imidazopyridine-fused isoquinolinones. 3) Integration of the Ugi-three component reaction (Ugi-3CR) and Pictet-Spengler (PS) reaction followed by …

Exposing And Addressing Machine Learning Brittleness Through Constraint Solving, Muyeed Ahmed

Dissertations

Machine Learning (ML) implementations are fundamentally brittle: nondeterministic, inconsistent, and prone to overfitting; however, constraint solving can be used to systematically expose, quantify, and address this brittleness.

This dissertation first establishes that widely-used implementations of popular ML algorithms are nondeterministic (producing different outputs on the same input, across different runs) and inconsistent (different implementations of the same algorithm producing different outputs on the same input). This is more prevalent in Unsupervised Learning (UL) implementations where, due to the lack of a ground truth, subtle execution errors can go unnoticed and are difficult to verify. Nondeterminism and inconsistency also introduce security …

Development Of Ultrafast Protein Digestion And Standards Free Quantitation Methods For Mass Spectrometric Analysis, Praneeth Ivan Joel Fnu

Dissertations

A wide variety of biologically important molecules, such as enzymes, antibodies, hormones, transporters and receptors are proteins by composition and they play key roles in biological functions such as cellular regulation, communication, metabolism and physiological function. Protein dysfunctions and abnormalities are associated with numerous diseases, making proteins critical targets for understanding disease mechanisms and developing therapeutic interventions. Protein-based therapeutics such as monoclonal antibodies, hormones and vaccines gained popularity due to their high specificity, efficacy, and ability to treat complex diseases that are often difficult to address with small-molecule drugs.

Given the important role of proteins in a variety of biological …

The Inverse Elasto-Acoustic Problem, Patrick Grice

Dissertations

A stable and numerically efficient boundary integral method formulation of the elasto-acoustic problem is presented, based on Fourier analysis. The method generalizes well to multiple scattering. The Frechet derivative of the elasto-acoustic problem with respect to shape perturbations is derived, and geometric flow theory is used to design stable numerical methods for the simulation of moving boundaries. The shape derivative is used to define a regularized Gauss-Newton algorithm for shape fitting of elasto-acoustic scatterers.

Geometric Convergence And State-Space Decompositions For Stochastic Gradient Descent Markov Chains, Philip Zaleski

Dissertations

No abstract provided.

Solar Wind - Magnetosphere - Ionosphere Coupling Processes Through Small-Scale Magnetic Flux Ropes, Youra Shin

Dissertations

Small-scale magnetic flux ropes (SMFRs) in the solar wind are examined to determine their properties in the near-Earth upstream region and their effects on geospace. Although SMFRs are observed frequently in the solar wind, their statistical behavior near Earth and their role in solar wind-magnetosphere-ionosphere coupling remain insufficiently constrained. In this dissertation, an automated Grad-Shafranov reconstruction technique is applied to magnetic field and plasma measurements from MMS and Wind, and ionospheric responses are investigated using geomagnetic indices and SuperDARN observations. During the survey period, MMS has an apogee of approximately 25-29 R_E. This orbital configuration allows the near-Earth …

A Variational Algorithm For Preparing Superoptimal Thermal States For Quantum Thermometric Measurement Adaptable To Nisq Hardware, Nicholas Donatelli

Graduate Masters Theses

The conditional thermal state (CTS) is a probe-specific quantum thermal state that is known to outperform the Gibbs state in quantum thermometric measurements at sufficiently low temperatures. This thesis introduces a variational quantum algorithm designed to prepare the CTS on quantum computing hardware which optimizes the angular parameters of the quantum gates that comprise the ansatz circuit and, for the one-qubit case, minimizes relative infidelity of the output state with the known CTS. Using noiseless numerical simulations (SPSA with Qiskit), attempting to prepare the CTS yielded relative infidelities with the known CTS on the order of $10^{-5}$ for most parameter …

Modeling Kinetics Of 5-Aminolevulinic Acid-Induced Protoporphyrin Ix Accumulation For Optimal Photodynamic Therapy, Priscilla Melebor

Graduate Masters Theses

Photodynamic therapy (PDT) is a minimally invasive treatment that uses light-activated photosensitizers to selectively destroy diseased tissue through the generation of reactive oxygen species. However, conventional in vitro models often fail to accurately reproduce the pharmacokinetics of photosensitizer accumulation and clearance observed in vivo. This study investigated protoporphyrin IX (PpIX) accumulation following 5-aminolevulinic acid (ALA) exposure under physiologically relevant conditions using two-dimensional (2D) monolayers and three-dimensional (3D) spheroids. By comparing continuous ALA exposure with transient exposure followed by ALA washout, this work provides a more biologically relevant framework for studying PpIX kinetics and optimizing photodynamic therapy.

The Sliding Aperture Transform: A Mathematical Method Applied To Radiation-Induced Dlts Capacitance Transients, Md Abu Bakkar Siddique

Graduate Masters Theses

This thesis presents the Sliding Aperture Transform (SLAPt), a novel mathematical technique for extracting exponential argument and pre-factor  from experimental data. The method transforms measured waveforms into an inverse-domain representation where exponential decay processes appear as distinct peaks, simplifying data analysis and reducing the effects of baseline offsets and noise. The technique is here applied to time dependent capacitance transients associated with irradiated and non-irradiated silicon pn junction diodes. The technique is further developed and applied to positive argument exponentials using an axillary function. This allows forward bias  current-voltage measurements, and forward pulse-bias current transient measurements to be SLAP analyzed, …

Spider Biodiversity And Insecticide Sensitivity Across Active And Restored Cranberry Bogs On Nantucket, Tyler J. Kulak

Graduate Masters Theses

Spiders are one of the most diverse groups of organisms on the planet with over 53,000 species described as of 2026. They provide a suite of ecosystem services including their regulation of problematic pests in agricultural systems, appearing in high biomasses across a breadth of ecological niches. While beneficial as pest regulators, they are also susceptible to the same management techniques as pest organisms and are especially vulnerable to chemical control. Cranberry production in Massachusetts likely benefits from spider ecosystem services, but diversity research on spiders in these systems is limited. This study compares the diversity of spider populations from …

Toward The Study Of Photon Dynamics In Non-Separable Spacetimes, Kara Nelson

Graduate Masters Theses

Black holes provide a unique laboratory for testing general relativity in the strong-field regime through observations such as black hole images and gravitational wave signals. Comparing theoretical predictions with these observations requires accurate numerical models of photon trajectories. This thesis develops and validates a generalized ray-tracing framework for computing null geodesics in stationary, axisymmetric spacetimes. Unlike many existing ray-tracing methods, the framework does not rely on metric separability or analytic solutions, allowing it to be applied to both separable and non-separable spacetimes. The framework is validated by reproducing known Schwarzschild and Kerr results and is applied to a quasi-Kerr spacetime …

Synthesizing Viscoelasticity: Living Polymers, Micro-Macro Relations, And Paths For Resolution, Adam M. Hasler

Graduate Masters Theses

This thesis investigates the relationship between macroscopic rheological signals and underlying microscopic dynamics in complex fluids, specifically focusing on ”living polymers” within the cetyltrimethylammonium bromide (CTAB) and sodium salicylate (NaSal) surfactant system. The research addresses the inverse parameterization problem, demonstrating how bulk measurements like zero-shear viscosity can mask fundamentally different physical topologies, such as purely cylindrical, reptating micelles versus highly branched networks. Through the successful synthesis of viscoelastically ”degenerate” samples, the study utilizes an array of characterization techniques including frequency sweeps, Large Amplitude Oscillatory Shear (LAOS) to resolve these unique underlying states. Furthermore, the work explores further avenues of study …

Re: 2nd Quarter 2026 – Interim Site-Wide Surface Water Monitoring Data Report Silver Bow Creek Butte Area Npl Site, Butte Priority Soils Operable Unit Consent Decree-Civil Action No. Cv 89-039-Bu-She, Josh Bryson

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Re: Comment Letter For Butte Priority Soils Operable Unit (Bpsou) Draft Diggings East Dewatering Treatability Study Pre-Design Investigation Work Plan (Pdiwp) (Dated August 24, 2026) And The 2026 Draft Diggings East Dewatering Treatability Study Quality Assurance Project Plan (Qapp) (Dated August 24, 2026), Emma Rott

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Microrheological Characterization Of Collagen-I Extracellular Matrix Remodeling During Tr146 Tumor Spheroid Invasion And Ppix-Mediated Photodynamic Therapy, Himantha Dilshan Saldonge

Graduate Masters Theses

Oral squamous cell carcinoma (OSCC) invasion is strongly regulated by interactions between tumor cells and the surrounding extracellular matrix (ECM). However, localized ECM mechanical changes during tumor invasion and after photodynamic therapy (PDT) remain insufficiently understood. This study mainly investigated: time-dependent viscoelastic remodeling of collagen-I ECM during TR146 tumor cell invasion, visualization of time-dependent TR146 tumor cell invasion and post-PDT response using live/dead fluorescence imaging, and the direct effect of PpIX-mediated PDT on the viscoelastic properties of spheroid-free collagen-I ECM. Three-dimensional TR146 spheroids were generated using a non-adherent agarose-based method, surrounded by a basement-membrane-like Matrigel layer, and embedded in 3.0 …

Symmetry Breaking And Restoration In The Grasshopper Ising Model, Aradh Bisarya

Graduate Masters Theses

Distance-selective interactions in Ising systems give rise to a range of rich and unexpected phenomena. A notable example is the so-called Grasshopper Ising model, a conserved spin Ising model with interactions only between spins at a fixed distance. This model is the discrete version of the following mathematical problem: A grasshopper lands at a random point on a planar lawn of area one. It then makes one jump of fixed distance in a random direction. What lawn shape maximizes the probability that the grasshopper lands on the lawn after the jump? The solution to this problem, corresponding to the ground …

Symmetric Informationally Complete Positive Operator Valued Measures Minimize P-Norm Difference Between Quantum And Classical Probability Rules, Austin Monaghan

Graduate Masters Theses

Experimental violations of Bell's inequality demonstrate quantum theory's incompatibility with a local hidden-variable formulation. Simply put, either 1) measurements performed at one point in space may instantaneously influence far away systems ("spooky action at a distance") or 2) measurement outcomes are not the result of pre-existing properties. The act of measurement takes part in the very creation of the outcomes. If we reject condition 1 as a valid assumption, how can we interpret the significance of condition 2 i.e. no local parameters?  In QBism, condition 2 arises from something deeper: that the Born rule expresses a nonclassical condition for connecting …

Infrared Detectability Of Whale Species And Behaviors To Enhance Automatic Detection For Real-Time Vessel Strike Avoidance, Laura J. Howes

Graduate Masters Theses

Real-time detection of large whales at sea is critical for mitigating serious injury and mortality from ship strikes and other human activities such as seismic surveys, especially for endangered species such as the critically endangered North Atlantic Right Whale (Eubalaena glacialis). Traditional marine mammal observers are limited by environmental conditions and human factors, necessitating a robust, 24-hour solution. This study investigates the efficacy of a novel onboard detection tool infrared (IR) technology to detect whale blows and body parts. While IR is a promising advancement, its performance under varying sea conditions (e.g., fog, humidity) and its ability to …

Electrolyte Development And Interfacial Reactions At Multivalent Metal Anode For Next Generation Energy Storage Systems, Leslie Gates

Graduate Masters Theses

The increasing demand for safe, sustainable, and high-performance energy storage systems has driven significant interest in multivalent-ion batteries, including aluminum, magnesium, and zinc-based systems. These technologies have attracted attention due to their high theoretical energy densities, natural abundance, low cost, and environmentally benign nature. However, their development remains hindered by a limited fundamental understanding of electrolyte development and interfacial processes at the electrode–electrolyte interface, where complex electrochemical interactions govern battery performance and stability.

This thesis investigates electrode–electrolyte interactions in both a novel aluminum electrolyte and divalent magnesium and zinc systems. Beginning with the development and characterization of a novel aluminum …

Draft Final Butte Priority Soils Operable Unit Unreclaimed Sites: Ur-35 Construction Completion Report (Ccr), Pioneer Technical Services, Inc.

Silver Bow Creek/Butte Area Superfund Site

The purpose of this Butte Priority Soils Operable Unit (BPSOU) Unreclaimed (UR) Sites Construction Completion Report (CCR) is to describe the tasks completed as described in the Final BPSOU UR Sites: UR-35 Remedial Action Work Plan (RAWP) (referred to herein as RAWP; Atlantic Richfield Company, 2025) (Appendix A). This CCR was prepared to outline Remedial Action (RA) tasks performed at the UR source area, UR-35, within the BPSOU (referred to herein as UR-35 Site or Site) as part of the Further Remedial Elements Scope of Work described in the BPSOU Consent Decree (EPA, 2020). All work was completed according to …

Enhanced Osseointegration Of Functionally Graded Co˗Cr˗Mo˗Ti/Ha Implants: In Vitro And In Vivo Study In A Rabbit Model, Afrah M. Al Hussainey, Randa Kamel Hussain, Aseel Mustafa Abdul Majeed

Karbala International Journal of Modern Science

    The present investigation aims to evaluate the effects of acid and laser surface treatments on the surface characteristics, biocompatibility, and osseointegration of functionally graded implants fabricated from a Co–Cr–Mo–Ti/HA alloy. The implant surfaces were modified using either an Nd: YAG laser or hydrochloric acid (HCl), while untreated implants served as controls. Atomic force microscopy (AFM) showed that the acid-treated surface exhibited the highest mean surface roughness (Sa) of 58.10 ± 0.24 nm compared to the laser-treated surface (42.64 ± 0.83 nm) and the untreated surface (37.73 ± 0.89 nm). The MTT assay also demonstrated a favourable cellular response on the …

Toward A Post-Modern Daoist Pedagogy: Bridging Complexity And Dao Through Inner Cultivation And Autopoietic Currere, Jie Yu, Jingyu Liu

Journal of Contemplative and Holistic Education

This article first critically examines the call to reenchant the world as it resonates within a middle space between science and mysticism and then connects key ideas from complexity theory and systems thinking on complex adaptive systems with two seminal Daoist texts: the Neiye (《內業》, Inner Cultivation), a proto-Daoist chapter from the Guanzi anthology (4th–3rd century B.C.E.), and the Huangting Jing (《黃庭經》, Yellow Court Scripture), a later Daoist classic (3rd–4th century C.E.). Through this dialogue, the article advocates a post-modern Daoist pedagogy through inner cultivation and autopoietic currere—an autopoietic process wherein curriculum emerges organically through participatory dialogue …

A Path To Creating Global Citizens: Education For Sustainable Development In Small Liberal Arts Colleges, Shari Bissoondatt (Boochay), Timea Varga, Antonella Regueiro, Amy An

Faculty and Staff Publications & Presentations

Higher Education Institutions (HEIs) play a critical role in advancing the United Nations Sustainable Development Goals (UN SDGs) by preparing students to address complex social, environmental, and economic challenges. In the literature, less attention has been paid to scalable curricular models implemented in small liberal arts colleges. This paper presents a case study of Lynn University’s Impact Series, an interdisciplinary and co-curricular initiative, intentionally integrated into the undergraduate curriculum to advance Education for Sustainable Development (ESD). Drawing on institutional reports, program documentation, and attendance data from Fall 2022 through Spring 2025, the study examines how the Impact Series promotes short-term …

Enterococcus Abundance, Distribution, And Environmental Controls At A Sandy Shoreline, South Carolina, Usa, Helen Kehoe

Electronic Theses and Dissertations

Water quality monitoring crucially protects the health of beachgoers around the world. However, water-adjacent sediments, such as sandy beaches, are known to harbor harmful bacteria, yet are not monitored despite their intensive recreational use. This project monitored the abundance of fecal indicator bacteria (FIB), specifically Enterococci, in sandy beach sediments at beaches routinely monitored for water quality in Myrtle Beach and North Myrtle Beach, South Carolina. Surface sediment core sampling (0-5 cm) in the swash zone was conducted once per month for 4 months at 24 beaches in tandem with state-accredited surf-water FIB monitoring using IDEXX’s Enterolert test (Standard Method …