Physical Sciences and Mathematics Commons^™

On Multiplicative Order Convergence And Multiplicative Order Continuous Operators, Hüma Gürkök, Bahri̇ Turan

Turkish Journal of Mathematics

Let A and B be two f-algebras. This paper establishes the theoretical framework for multiplicative order convergence, clarifying its definition, properties, and relations to other convergence types. This includes a detailed discussion on the conditions under which multiplicative order convergence and order convergence, as well as unbounded order convergence, mutually imply each other. We establish an extension theorem for multiplicative order continuous operators, similar to Veksler’s theorem for order continuous operators. As a result of this theorem, we derive the order structure of the space of multiplicative order continuous operators. We show that the space L_mo(A, …

Majorization Properties For Analytic Functions With Positive Real Part, Oya Mert

Turkish Journal of Mathematics

The majorization feature is important when investigating analytical functions’ geometric properties. The present work focuses on the majorization property for a general Ma-Minda type function class S^*_φ(γ, λ) of starlike functions of complex order, which is described with the Ruscheweyh differential operator. In the context of the main theorem, consequences are presented for various special functions φ having a positive real part. Furthermore, the Ruscheweyh differential operator extends a representation formula and investigates an upper-bound formula. Examples of upper bounds for analytic functions are also presented.

Nonoscillatory Solutions Of Third-Order Nonlinear Dynamic Equations: Existence And Nonexistence, Özkan Öztürk, Elvan Akin, Nesli̇han Nesli̇ye Pelen

Turkish Journal of Mathematics

This paper investigates a third-order nonlinear dynamic equation on arbitrary time scales, a nonempty closed subset of the real numbers, unifying continuous and discrete analyses. We study the qualitative behavior of nonoscillatory solutions and their quasi-derivatives, focusing on their limiting behaviors. The existence of such solutions are established using improper integral criteria and Schauder’s and Knaster’s fixed point theorems. In addition, we establish the criteria for the nonexistence of nonoscillatory solutions. Furthermore, we prove the existence of Kneser-type solutions of the corresponding linear dynamic equation on isolated time scales, addressing an open problem in the literature. Several examples of theoretical …

Structural Stability For Damped Nonlinear Wave Equations, Sevda Isayeva, Varga Kalantarov

Turkish Journal of Mathematics

We study the problem of continuous dependence on parameters for solutions to initial-boundary value problems for nonlinear strongly damped wave equations. Specifically, we consider three classes of equations: a strongly damped wave equation with a nonlinear damping term; a strongly damped wave equation incorporating both a nonlinear damping term and a nonlinear source term; and a strongly damped wave equation with a nonlinear source term and a linear weak damping term. For each class, we establish structural stability results, showing that the solutions depend continuously on the relevant parameters.

The Action Of The Superposition Operator On Weighted Banach Sequence Spaces LP,Σ, Nermin Okičić, Fehim Dedagić

Turkish Journal of Mathematics

We consider a nonlinear superposition operator on weighted Banach spaces l_p,σ, where σ is the weighted function with the property that (∀n ∈ ℕ) σ(n) ≥ 1. We present the necessary and sufficient conditions for the action of the superposition operator from l_p,σ to l_q,τ, 1 ≤ p, q ≤ ∞, as well as the L-characteristic of the action of the considered operator.

The Geometry Of Semislant Submersions Whose Total Manifolds Are Locally Conformal Kähler Manifolds, Çağrihan Çi̇men, Hakan Mete Taştan

Turkish Journal of Mathematics

We study semislant submersions whose total manifolds are locally conformal Kähler manifolds. We provide conditions for the total geodesicity and integrability of the distributions involved in the definition. Next, we establish a condition under which such a submersion is a Clairaut submersion. Finally, we obtain some optimal inequalities for a semislant submersion whose total manifold is Hopf space form.

The Generalization Of Rectifying Helices, Bülent Altunkaya

Turkish Journal of Mathematics

This work establishes connections between different classes of arbitrary speed rectifying helices. We further analyze how the involute of a space curve can exhibit spherical helicity and how the evolute can inherit rectifying properties, thereby providing an alternative characterization of these helices. These relationships, along with their interplay with involutes and evolutes, are supported by illustrative examples that offer deeper insights into their geometric properties.

Room-Temperature Alignment-Free Magnetometry With Boron Vacancies In Hot-Pressed Hexagonal Boron Nitride, Raul Coto Cabrera

Mathematics Colloquium Series

Magnetic field sensing is essential for applications in communication, environmental monitoring, and biomedical diagnostics. Quantum magnetic field sensors based on solid-state spin defects, such as NV centers in diamond, typically require precise alignment between the external magnetic field and the defect’s spin quantization axis to achieve reliable and directional sensing. This alignment constraint imposes challenges for device integration, especially in scalable or fielddeployable applications. Here, we demonstrate room-temperature optically detected magnetic resonance (ODMR) from negatively charged boron vacancies (VB-) in commercially available hot-pressed polycrystalline hexagonal boron nitride (hBN). Owing to the random orientation of grains in the material, the system …

A Deep Learning Framework For Early Autism Detection Using Eeg Signals, Maha M. Hamzeh, Ali Y. Al-Sultan, Salah Al-Obaidi

Journal of Intelligent Informatics, Networking, and Cybersecurity

Autism spectrum disorder (ASD) is a complicated neurodevelopmental illness, affecting social interaction, communication, and cognitive function. To lower healthcare costs and facilitate prompt intervention, early and accurate detection is crucial. However, behavioral assessments—which are inherently subjective and can lead to delayed diagnoses—are a significant component of traditional diagnostic procedures. This paper presents a convolutional neural network (CNN) and time-frequency analysis-based early ASD screening using EEG signals. EEG data undergoes a preprocessing step to remove noise and power interference. After that, the signals were divided into 5-, 10-, and 20-second time frames. Each EEG time frame segment is represented in the …

Structural Evolution Of Nitrogenase Over 3 Billion Years, Bruno Cuevas Zuviría, Franka Detemple, Kaustubh Amritkar, Amanda K. Garcia, Lance Seefeldt, Betül Kaçar

Chemistry and Biochemistry Faculty Publications

Previously, we identified the only dinitrogen reduction mechanism known to date as an ancient feature conserved from nitrogenase ancestors, which we directly tested by resurrecting and integrating synthetic ancestral nitrogenases into the genome of Azotobacter vinelandii (Garcia et al., 2023), a genetically tractable, nitrogen-fixing model bacterium. Here, we extend this paleomolecular approach to investigate the structural evolution of nitrogenase over billions of years of evolution by combining phylogenetics, ancestral sequence reconstruction, protein crystallography, and deep-learning based predictions. This study reveals that nitrogenase, while maintaining a conserved multimeric core, evolved novel modular features aligned with major environmental transitions, suggesting that subtle …

Health On The Rocks: Geohealth In Kentucky, Rachel L. Washburn

Special Publication--KGS

Geohealth bridges the earth and life sciences, revealing how Kentucky’s unique geology directly shapes public health risks, clinical outcomes, and opportunities for innovation. This factsheet highlights the critical intersections between geologic processes and human health across the Commonwealth—from landslides, floods, and tornadoes to radon, mine drainage, and microbial contamination. It outlines how natural and anthropogenic forces influence respiratory illness, cancer, trauma, and infectious disease, and how bedrock and weather extremes define local exposure pathways. Beyond risk, it also showcases Kentucky’s leadership in developing geoscience-informed health solutions: bioremediation, microbial drug discovery, and geologic-health monitoring networks that strengthen preparedness and resilience. Understanding …

An Adaptive Force Matching Potential For Alanine Developed With Møller-Plesset Perturbation Theory And Smooth Fourier Transform Correction Map, Ying Yuan, Feng Wang

Chemistry & Biochemistry Faculty Publications and Presentations

Developing accurate force fields for biomolecules remains a significant challenge due to the subtle energetic differences between various conformational states. We present a novel force field model for polyalanine, ALAMP2_25, developed using adaptive force matching (AFM) with M & oslash;ller-Plesset perturbation theory at the second order (MP2) as the reference method. By fitting smaller model compounds and transferring parameters to larger peptides, we overcome the limitations of traditional AFM approaches and enable the use of more accurate electronic structure methods. The ALAMP2_25 model incorporates a new correction scheme, Smooth Fourier Transform-based phi, psi correction map (SFT-CMAP), which efficiently describes phi, …

Analysis Of Colorado River Basin Storage Suggests Need For Immediate Action, Jack Schmidt, Anne Castle, John Fleck, Eric Kuhn, Kathryn Sorensen, Katherine Tara

The Traveling Wilburys of the Colorado River

Consumptive water use in the Colorado River Basin continues to outpace natural flow. The dwindling reserve stored in reservoirs that has long sustained this shortfall might soon be exhausted. Immediate steps should be taken to reduce current consumptive uses in the Upper and Lower Basins.

Modeling Musculoskeletal Combat Casualty Care: Nato Trauma System Performance In Large Scale Combat Operations, Mark P. Cote, Kaitlyn E. Holly, Roman J. Schoenfeld, Matthew R. Bryan, Malina O. Hatton, Mitchel B. Harris, Tracey P. Koehlmoos, Andrew J. Schoenfeld

Department of Orthopaedic Surgery Faculty Papers

BACKGROUND: It is unclear whether the current North Atlantic Treaty Organization (NATO) trauma system will be effective in the setting of Large-Scale Combat Operations (LSCO). We sought to model the efficacy of the NATO trauma system in the setting of LSCO. We also intended to model novel scenarios that could better adapt the current system to LSCO.

METHODS: We developed a discrete-event simulation model for patients with combat musculoskeletal injuries treated within the standard NATO system. The primary outcome of the model was survival. The model's health states were characterized as stable, hypovolemia, sepsis, shock, or death. The model simulated …

Calibrating A Holling-Tanner Model With Applications To S&P500 Forecasting, Jonathon Knowles

All ETDs from UAB

The primary goal of this thesis is to improve upon existing dynamical system models in economics. Existing models utilizing Lotka-Volterra dynamics display a tendency to suffer from unrealistic forecasts dominated by exponential growth and decay. Additionally, current inverse methods are only applicable in differential equation systems with linear coefficients. In this body of work, we propose novel methods for handling these challenges.

Controlling Properties Of Pmaa Multilayer Hydrogel Microparticles Through Network Structure, Daniel Inman

All ETDs from UAB

Advancements in the fabrication of “smart” stimuli responsive hydrogel microparti-cles have been pivotal in their optimization for applications. The responsiveness of hydro-gel networks to external stimuli enhances the intrinsic properties of hydrogels to increase functionality. Through layer-by-layer assembly, the internal composition, network struc-ture, and surface chemistry of multilayer hydrogels can be directly controlled to introduce new and unique properties. Applicable to a wide variety of shapes and sizes; hydrogel mi-croparticles are versatile for biological interactions, such as, cellular internalization, tissue regeneration, biosensors, and more. Thus, this dissertation will discuss the synthesis of shaped pH-responsive hydrogel microparticles and the investigation of …

Bayesian Survival Analysis For High-Dimensional Compositional Data, Zhenying Ding

All ETDs from UAB

Survival analysis integrating microbiome and clinical data offers powerful insights into human health. The microbiome influences immunity, inflammation, and cancer outcomes. Combining microbial profiles with clinical factors like tumor stage, treatment, and demographics enhances understanding of how host-microbe interactions affect survival. To analyze these complex datasets, advanced statistical methods, including Bayesian models, penalized Cox proportional hazards models, and machine learning techniques are employed. These approaches can uncover novel biomarkers and therapeutic targets, leading to personalized treatment strategies that optimize patient survival. However, challenges arise due to the compositionality, high-dimensionality, and phylogenetic relation between taxa in microbiome data. In this dissertation, …

Mcl1 And Hexokinase 2 Form A Glucose Metabolic Regulatory Axis, Robert Lee

All ETDs from UAB

Hexokinase 2 (HK2) initiates glucose metabolism by catalyzing the conversion of glucose to glucose-6-phosphate providing the starting substrate for a vast array of metabolic pathways such as glycolysis, pentose phosphate pathway (PPP), amino acid biosynthesis and others. While HK2’s metabolic role in normal physiologic function (such as in cardiomyocytes) and cancers (through driving the Warburg Effect) are well established, there is emerging evidence that supports HK2 is also a critical mediator of protein-protein interactions that regulate cell survival. Through comprehensive review, we explore how HK2 contributes to cell survival through metabolic and protein scaffolding roles. We also investigate a novel …

Modeling The Basal Ganglia Network Using Leaky Integrate-And-Fire Neurons To Explore Its Role In Facilitating Purposive Saccades, Saarth Anjali Chitale

All ETDs from UAB

Saccadic eye movements provide a well-defined behavioral readout for investigating how the basal ganglia (BG) contribute to action selection. While saccades are controlled by multiple brain regions, including direct excitatory inputs from various cortices, the BG exerts a key inhibitory influence. Decades of experimental work using saccadic behavioral paradigms in non-human primates have yielded important insights into the activity of BG populations. These include the caudate nucleus, subthalamic nucleus, globus pallidus externus, and substantia nigra pars reticulata, as well as dopaminergic afferents from the substantia nigra pars compacta and efferent projections to the superior colliculus, which controls eye movements. Despite …

Solitary Waves For Power Degenerate Non Linear Schro ̈Dinger Equation And Fourth Order Wave Equation., Vishnu Iyer

All ETDs from UAB

In this dissertation we prove the existence and stability of solitary waves for the power degenerate non linear Schr ̈odinger equation (2.1.1) and a fourth order wave equation (3.1.1). Construction of the waves are variational in nature. For the NLS we consider a semilinear Schr ̈odinger equation, driven by the power degenerate second order differential operator ∇ · (|x|2a∇), a ∈ (0, 1). We construct the solitary waves, in the sharp range of parameters, as minimizers of the Caffarelli- Kohn-Nirenberg’s inequality. Depending on the parameter a and the nonlinearity, we establish a number of properties, such as positivity, smoothness (away …

Imaging A Digital Stock Exchange, Mrigank Mrigank

All ETDs from UAB

In 2021, Rama Cont and Marvin M¨uller proposed a stochastic partial differential equation (SPDE) that models the density of orders in the limit order book at a given distance from the mid-price. In this thesis, we begin with a generalized version of the Cont–M¨uller SPDE and formulate an associated inverse problem. We present two alternative approaches to framing this inverse problem and establish, under appropriate assumptions, that it is conditionally well-posed. To solve the inverse problem, specifically, to recover the coefficients in the generalized Cont–M¨uller model, we adapt a variational approach involving the minimization of convex functionals. The recovered coefficients …

Bayesian Mediation Analyses For Zero-Inflated Data, Jinhong Cui

All ETDs from UAB

Mediation analysis is a fundamental tool in causal inference, enabling researchers to disentangle the pathways through which an exposure affects an outcome via intermediate variables (mediators). It has been widely applied in social sciences, psychology, and healthcare-related studies. Traditionally, mediation analysis has been conducted within the linear structural equation modeling (LSEM) framework. However, recent advances have shifted attention toward the counterfactual framework due to its flexibility in defining causal effects and its capacity to accommodate non-linear relationships, parametric and non-parametric models. Building on this foundation, methodological developments in mediation analysis have expanded to address more complex data structures, such as …

2025 September 11 - Tennessee Weekly Drought Summary, Tennessee Climate Office, East Tennessee State University

Tennessee Climate Office Weekly Drought Summaries

No abstract provided.

Mechanistic Rationale For Toxic Aerosol Formation From Vaping And Dabbing With A Focus On Ketene Formation From Semi-Synthetic Cannabinoids, Kaelas Ryan Munger

Dissertations and Theses

Cannabis vaping is a relatively new route of administration that is increasingly common among youth and young adults. Cannabis vaping has been associated with cases of acute lung injury, especially among youth, and most often involves the heating and aerosolization of high-potency products having cannabinoid concentrations of ~ 50 % - 98 % w/w. Proponents argue that vaping is safer than smoking due to the characteristically lower temperatures and fewer plant materials. However, the extreme cannabinoid concentrations, along with non-natural formulations having undisclosed additives, require studies of the health effects of these products. Despite the popularity of cannabis concentrate vaping, …

Gw250114: Testing Hawking’S Area Law And The Kerr Nature Of Black Holes, The Ligo Scientific Collaboration, The Virgo Collaboration, The Kagra Collaboration

Department of Physics and Astronomy Faculty Scholarship and Creative Works

The gravitational-wave signal GW250114 was observed by the two LIGO detectors with a network matched-filter signal-to-noise ratio of 80. The signal was emitted by the coalescence of two black holes with near-equal masses 𝑚1=33.6+1.2−0.8⁢𝑀⊙ and 𝑚2=32.2+0.8−1.3⁢𝑀⊙, and small spins 𝜒1,2≤0.26 (90% credibility) and negligible eccentricity 𝑒⁢≤0.03. Postmerger data excluding the peak region are consistent with the dominant quadrupolar (ℓ=|𝑚|=2) mode of a Kerr black hole and its first overtone. We constrain the modes’ frequencies to ±30% of the Kerr spectrum, providing a test of the remnant’s Kerr nature. We also examine Hawking’s area law, also known as the second law …

Paleoseismic Evidence Of Directivity For The 1976 Mw 7.5 Motagua Earthquake, Guatemala, Jonathan Obrist-Farner, Jeremy Maurer, Derek Gibson, Trenton Mcenaney, Andreas Eckert, William F. Kenney, Jeffrey Beeson, Nigel Wattrus, Quin Stangeland, Fatima Reyes

Geosciences and Geological and Petroleum Engineering Faculty Research & Creative Works

On 4 February 1976, a Mw 7.5 earthquake along the Motagua fault, Guatemala, ruptured ∼230 km of the North American and Caribbean plate boundary. Today, the plate boundary remains poorly monitored, and the 1976 earthquake is still not fully understood. Here, we present seismic reflection profiles and radiometrically dated sediment core data from six lakes around the Motagua fault, together with reports of destruction and a quasi-dynamic rupture model, which show that the 1976 earthquake experienced strong directivity that impacted the distribution of shaking. The earthquake left behind a detailed record of event deposits (EDs) in five of the six …

Gw250114: Testing Hawking’S Area Law And The Kerr Nature Of Black Holes, A. G. Abac, I. Abouelfettouh, F. Acernese, Teviet Creighton, Mario C. Diaz, R. Espinosa, J. Lawrence, Francisco Llamas Villarreal, Soma Mukherjee, Volker Quetschke, M. Ramos Arevalo, Wenhui Wang

Physics & Astronomy Faculty Publications

The gravitational-wave signal GW250114 was observed by the two LIGO detectors with a network matched-filter signal-to-noise ratio of 80. The signal was emitted by the coalescence of two black holes with near-equal masses m_{1}=33.6_{-0.8}^{+1.2}M_{⊙} and m_{2}=32.2_{-1.3}^{+0.8}M_{⊙}, and small spins χ_{1,2}≤0.26 (90% credibility) and negligible eccentricity e≤0.03. Postmerger data excluding the peak region are consistent with the dominant quadrupolar (ℓ=|m|=2) mode of a Kerr black hole and its first overtone. We constrain the modes' frequencies to ±30% of the Kerr spectrum, providing a test of the remnant's Kerr nature. We also examine Hawking's area law, also known as the second law …

Moving Forward With Maboo Liyan Boorroo: River Monitoring And Communicating Heritage And River Keeper Stories: Research Workshop Iii Summary Report, Anne Poelina, Tod Jones, Martin Brueckner, Pierre Horwitz, Sven Ouzman, Kylie Wrigley, Community Research Practioners - Martuwarra River Keepers

Reports accepted as research outputs

This Report provides a summary of activities and outcomes from the Maboo Liyan Boorroo Workshop III, held in June 2025. Three community Workshops have been held, involving an external multi-disciplinary and multi-institutional research team (the research team) visiting and working with the Yurmulun Pandanus Park Community and the Martuwarra Fitzroy River Council River Keepers. This visit followed two workshops with the community held in November 2021 (see Voices for the Martuwarra: Mapping Values with Fitzroy River Communities, 2021) and August 2022 (see Working together for Maboo Liyan Boorroo, 2022). This summary report provides detail on Workshop III discussions, activities and …

A Comparison Of Shear Bond Strength Of Denture Teeth To Denture Base Using Different Means Of Retention: An In Vitro Pilot Study, Dima Taha El Baba, Paul Boulos

International Arab Journal of Dentistry

Objectives: The objective of this work is to evaluate the shear bond strength between denture base resin and three different acrylic artificial denture teeth. The latter was subjected to three different surface modifications on the ridge lap area and compared to unmodified acrylic artificial denture teeth.

Methods: In this experimental in vitro study, twenty-four maxillary central incisor acrylic teeth were used from each of three manufacturers; namely Major®, Ivoclar® and Myerson®. The teeth were additionally divided into four test groups with six specimens in each: a control group, a chemical retention group, a mechanical retention group, and a …

فعالية برنامج رياضي لتنمية المهارات الاجتماعية لدى الصم, Nashwan Abdullah Nashwan, Hani Sulaiman Alkhaledi, Ayat J. Nashwan

Journal of the Association of Arab Universities for Research in Higher Education مجلة اتحاد الجامعات العربية للبحوث في التعليم العالي

هدفت الدراسة إلى الكشف عن فعالية برنامج رياضي لتنمية المهارات الاجتماعية لدى الصم، وقد تألف مجتمع الدراسة من (60) أصماً في محافظة الزرقاء، وتكونت عينة الدراسة من (20) أصماً من طلبة الصف التاسع الأساسي ضمن الفئة العمرية 14 عاماً، وتم اختيار عينة الدراسة بطريقة عشوائية تم تقسيمها الى مجموعة تجريبية تتكون من عشرة أصماء، وأخرى ضابطة تتكون من عشرة أصماء، واستخدم الباحثون المنهج شبه التجريبي، وتم تصميم مقياس المهارات الاجتماعية لدى الصم، وحصل المقياس على درجات جيدة من الصدق والثبات، وأظهرت النتائج بعد تطبيق البرنامج فعالية البرنامج لتنمية المهارات الاجتماعية لدى الصم، وتم تقديم عدد من المقترحات لمساعدة هذه الفئة …