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Articles 721 - 750 of 17270
Full-Text Articles in Entire DC Network
Enabling Communication Resiliency In The Connected Car Environment, Antonio Guerrero-Ibáñez, Juan Contreras-Castillo, Sherali Zeadally, Een-Kee Hong
Enabling Communication Resiliency In The Connected Car Environment, Antonio Guerrero-Ibáñez, Juan Contreras-Castillo, Sherali Zeadally, Een-Kee Hong
Information Science Faculty Publications
Connectivity has become integral to various application domains, with the automotive sector as a prime example. Advances in electronics, computing, and telecommunications have driven the evolution of the connected car ecosystem, transforming it into a data-rich environment that enhances road safety, efficiency, and overall mobility. However, the success of this ecosystem depends on seamless, reliable, and resilient communications. We identify key challenges that may affect communications in the connected car environment and discuss solutions that enhance resiliency and robustness. Finally, we propose a multi-layered network architecture that will enhance communication resilience in the connected car ecosystem.
The Embedding Theorem In Hurwitz–Brill–Noether Theory, Kaelin Cook-Powell, David Jensen, Eric Larson, Hannah Larson, Isabel Vogt
The Embedding Theorem In Hurwitz–Brill–Noether Theory, Kaelin Cook-Powell, David Jensen, Eric Larson, Hannah Larson, Isabel Vogt
Mathematics Faculty Publications
We generalize the Embedding Theorem of Eisenbud–Harris from classical Brill–Noether theory to the setting of Hurwitz–Brill–Noether theory. More precisely, in classical Brill–Noether theory, the embedding theorem states that a general linear series of degree d and rank r on a general curve of genus g is an embedding if r ≥ 3. If f ∶ C → ℙ1 is a general cover of degree k, and L is a line bundle on C, recent work of the authors shows that the splitting type of f∗ L provides the appropriate generalization of the pair (r, d) in classical Brill–Noether …
Sliding Block Puzzles With A Twist, Patrick Garcia, Angela Hanson, David Jensen, Noah Owen
Sliding Block Puzzles With A Twist, Patrick Garcia, Angela Hanson, David Jensen, Noah Owen
Mathematics Faculty Publications
No abstract provided.
Identification And Characterization Of Tornado Seismic Signals In The Central U.S., Seth Thompson
Identification And Characterization Of Tornado Seismic Signals In The Central U.S., Seth Thompson
Theses and Dissertations--Earth and Environmental Sciences
Tornadoes cause extensive property damage and endanger lives. While Doppler radar can indicate the potential for tornado development, it cannot confirm that a tornado is in contact with the ground unless a debris signature is present. While on the ground, a significant amount of a tornado’s energy may be transferred into the earth as seismic vibrations. Thus, seismometers have the potential to detect on-the-ground tornadoes. Since 1960, only five papers have published seismic recordings from tornadoes. These studies have mostly reported on seismic waves generated by tornadoes at a relatively large range, from 0.01-2.5 Hz, representing uncertainty in the dominant …
Balancing Wood And Food: Assessing The Drivers And Spatiotemporal Conflicts Of Eucalyptus Plantation Expansion In Guangxi, China, Wen H. Cai, Qiuxia Huang, Jian Yang, Le Yu, Yuanzheng Yang, Jiaxing Zu, Jiali Wang, Zhenxian Li
Balancing Wood And Food: Assessing The Drivers And Spatiotemporal Conflicts Of Eucalyptus Plantation Expansion In Guangxi, China, Wen H. Cai, Qiuxia Huang, Jian Yang, Le Yu, Yuanzheng Yang, Jiaxing Zu, Jiali Wang, Zhenxian Li
Forestry and Natural Resources Faculty Publications
Eucalyptus has become one of the most widely cultivated tree genera in subtropical China, generating significant economic returns but raising land-use conflicts with agriculture. Understanding the driving mechanisms behind this expansion is crucial for sustainable land-use management. To inform strategies for balancing wood production and agricultural stability, we investigated the spatiotemporal expansion dynamics and predicted the potential suitable habitat distribution of Eucalyptus plantations using a Boosted Regression Tree (BRT) model. Our analysis revealed three distinct spatiotemporal expansion phases. Crucially, this expansion has progressively shifted from marginal sloped terrain onto flat valley bottoms, intensifying the agriculture-forestry conflict in the region. Climatic …
Limitations Of Reproductive Manipulation By Bacterial Endosymbionts In A Spider Host, Jordyn D. Proctor
Limitations Of Reproductive Manipulation By Bacterial Endosymbionts In A Spider Host, Jordyn D. Proctor
Theses and Dissertations--Entomology
Maternally inherited bacterial endosymbionts are common in arthropods. Many of these bacteria manipulate host reproduction to favor the production of infected females, thereby increasing bacterial prevalence in the host population, even if cost is incurred to the host. However, there are also many factors that may inhibit symbionts’ ability to spread in host populations, including environmental constraints, symbiont-imposed costs on the host, interactions with co-infecting bacteria, or host biology. I explored two aspects of symbiont biology within a spider host, Mermessus fradeorum (Linyphiidae), which has varying combinations of up to five different bacterial endosymbionts in local populations: Rickettsiella, Tisiphia …
Adaptive Control For A Robotic Bipedal Device Using A Hybrid Discrete-Continuous Reinforcement Learning Strategy, Karla Rincon-Martinez, Wen Yu, Isaac Chairez
Adaptive Control For A Robotic Bipedal Device Using A Hybrid Discrete-Continuous Reinforcement Learning Strategy, Karla Rincon-Martinez, Wen Yu, Isaac Chairez
Mathematics Faculty Publications
This research develops and implements a novel reinforcement learning (RL) architecture to address the trajectory-tracking problem in bipedal robotic systems under articulated-joint constraints. The proposed RL framework extends previously designed adaptive controllers characterized by state-dependent gain structures. The learning mechanism comprises two hierarchical adaptation layers: the first employs an adaptive dynamic programming (ADP) formulation to approximate the Bellman value function using a class of continuous-time dynamic neural networks. In contrast, the second uses an iterative optimization scheme based on the deep deterministic policy gradient (DDPG) algorithm. The resulting control strategy minimizes a robust performance index defined over the tracking trajectories …
A Conserved Ethylene-Triggered Cell Death Mechanism May Underlie Hollow Stem Formation Across Plant Species, Mengxiao Yan, Weijuan Fan, Yinghui Meng, Jiamin Zhao, Wei Yang, Ziyin Xu, Yusen Gao, Haiyan Zhuang, Wuyu Zhou, Yuqin Wang, Qingjun Huang, Ling Yuan, Hongxia Wang, Jun Yang
A Conserved Ethylene-Triggered Cell Death Mechanism May Underlie Hollow Stem Formation Across Plant Species, Mengxiao Yan, Weijuan Fan, Yinghui Meng, Jiamin Zhao, Wei Yang, Ziyin Xu, Yusen Gao, Haiyan Zhuang, Wuyu Zhou, Yuqin Wang, Qingjun Huang, Ling Yuan, Hongxia Wang, Jun Yang
Plant and Soil Sciences Faculty Publications
Hollow stems have independently evolved multiple times across the plant kingdom and play crucial roles in plant development and various environmental adaptations. However, the mechanisms underlying stem hollowness remain poorly understood. Water spinach (Ipomoea aquatica) is one of the few hollow-stemmed plants in the Convolvulaceae family (eudicot: asterid), and its hollow stems are essential for thriving in aquatic environments. Using histochemical staining and transcriptome analysis, we found that programmed cell death (PCD) is involved in cavity formation at water spinach shoot tips. Single-cell and spatial transcriptome analyses further revealed that ethylene and reactive oxygen species (ROS) likely drive …
A Chandra View Of Spt-Cl J0217–5014: A Massive Galaxy Cluster At A Cosmic Intersection At Z = 0.53, Dan Hu, Shida Fan, Zhongsheng Yuan, Junjie Mao, Norbert Werner, Yuanyuan Su, François Mernier, Yuanyuan Zhao, Liyi Gu, Haiguang Xu
A Chandra View Of Spt-Cl J0217–5014: A Massive Galaxy Cluster At A Cosmic Intersection At Z = 0.53, Dan Hu, Shida Fan, Zhongsheng Yuan, Junjie Mao, Norbert Werner, Yuanyuan Su, François Mernier, Yuanyuan Zhao, Liyi Gu, Haiguang Xu
Physics and Astronomy Faculty Publications
Context. Galaxy clusters trace the densest regions of the cosmic web and are crucial laboratories for studying the thermodynamic and chemical evolution of the intracluster medium (ICM). The massive galaxy cluster SPT-CL J0217−5014 (z ∼ 0.53; M500 ∼ 3 × 1014 M⊙) is one of the Swift X-Ray Telescope serendipitous galaxy clusters with the highest reported Fe abundance (∼1.3 ± 0.4 Z⊙ within ∼ 1.′7) and a potentially disturbed morphology.
Aims. SPT-CL J0217−5014 presents an intriguing opportunity to investigate ICM chemical enrichment and cool-core survival. With this study, we aim to …
A Uniform Analysis Of Gas-Phase Metallicity Evolution With 1–3 Gyr Time Sampling Over The Past 12 Gyr, Shweta Jain, Ryan L. Sanders, Ali Ahmad Khostova, Tucker Jones, Alice E. Shapley, Naveen Reddy, Alex M. Garcia, Paul Torrey, Alison L. Coil
A Uniform Analysis Of Gas-Phase Metallicity Evolution With 1–3 Gyr Time Sampling Over The Past 12 Gyr, Shweta Jain, Ryan L. Sanders, Ali Ahmad Khostova, Tucker Jones, Alice E. Shapley, Naveen Reddy, Alex M. Garcia, Paul Torrey, Alison L. Coil
Physics and Astronomy Faculty Publications
We present a systematic investigation of the evolution of the mass–metallicity relation (MZR) and fundamental metallicity relation (FMR) using uniform metallicity diagnostics across redshifts z ∼ 0 to z ∼ 3.3. We present new Keck/Deep Imaging Multi-Object Spectrograph measurements of the [O II]λλ3726, 3729 emission line doublet for star-forming galaxies at z ∼ 1.5 with existing measurements of redder rest-optical lines from the MOSFIRE Deep Evolution Field survey. These new observations enable uniform estimation of the gas-phase oxygen abundance using ratios of the [O II], Hβ, and [O III] lines for mass-binned samples of star-forming galaxies …
Energy Levels Of Multiscale Bound States From Qed Energy-Momentum Trace, Michael I. Eides, Vladimir A. Yerokhin
Energy Levels Of Multiscale Bound States From Qed Energy-Momentum Trace, Michael I. Eides, Vladimir A. Yerokhin
Physics and Astronomy Faculty Publications
Energy levels of quantum electrodynamics (QED) bound states, which depend on a number of independent mass parameters, can be calculated as matrix elements of the QED energy-momentum tensor trace. As an example of such system we consider muonic hydrogen. The leading one-loop corrections to its energy levels depend on the electron and muon masses. These corrections are calculated as matrix elements of the energy-momentum tensor trace. Respective one-loop trace diagrams are different from the standard Lamb shift diagrams. We explain analytically and diagrammatically why two different sets of diagrams lead to the same results. Similar relationships should also hold beyond …
Fe Xviii–Xxiv Kβ Inner-Shell Absorption Lines In The X-Ray Spectra Of Neutron Star And Black Hole Binaries With Xrism, Masahiro Tsujimoto, Daiki Miura, Hiroya Yamaguchi, Ehud Behar, Chris Done, María Díaz Trigo, Chamani M. Gunasekera, Peter A. M. Van Hoof, Stefano Bianchi, Maryam Dehghanian, Gary J. Ferland
Fe Xviii–Xxiv Kβ Inner-Shell Absorption Lines In The X-Ray Spectra Of Neutron Star And Black Hole Binaries With Xrism, Masahiro Tsujimoto, Daiki Miura, Hiroya Yamaguchi, Ehud Behar, Chris Done, María Díaz Trigo, Chamani M. Gunasekera, Peter A. M. Van Hoof, Stefano Bianchi, Maryam Dehghanian, Gary J. Ferland
Physics and Astronomy Faculty Publications
The advent of the X-ray microcalorimeter spectrometer Resolve onboard the XRISM space telescope opened a new era for high-resolution X-ray spectroscopy of astrophysical plasmas. Many spectral features were newly detected, including the Kα and Kβ inner-shell transition lines of mildly ionized (F- to Li-like) Fe at 6–8 keV in the spectra of X-ray binaries and active galactic nuclei. The widely used atomic databases contain information on the Kα but not Kβ lines of these ions. We conducted the atomic structure calculation using FAC to derive the Fe Kα and Kβ lines and verified the …
The Relationship Between Warm And Hot Gas-Phase Metallicity In Massive Elliptical Galaxies And The Influence Of Active Galactic Nucleus Feedback, Valeria Olivares, Yuanyuan Su, Pasquale Temi, Ryan Eskenasy, Helen Russell, Massimo Gaspari, Philippe Salome, Francoise Combes, Ming Sun, Ezequiel Treister, Kevin Fogarty, Ana Jimenez-Gallardo, Patricio Lagos
The Relationship Between Warm And Hot Gas-Phase Metallicity In Massive Elliptical Galaxies And The Influence Of Active Galactic Nucleus Feedback, Valeria Olivares, Yuanyuan Su, Pasquale Temi, Ryan Eskenasy, Helen Russell, Massimo Gaspari, Philippe Salome, Francoise Combes, Ming Sun, Ezequiel Treister, Kevin Fogarty, Ana Jimenez-Gallardo, Patricio Lagos
Physics and Astronomy Faculty Publications
Context. Warm ionized gas is ubiquitous at the centers of X-ray bright elliptical galaxies. While it is believed to play a key role in the feeding and feedback processes of supermassive black holes, its origins remain under debate. Existing studies have primarily focused on the morphology and kinematics of warm ionized gas. Aims. This work aims to provide a new perspective on warm (∼10 000 K) ionized gas and its connection to X-ray-emitting hot gas (> 106 K) by measuring and comparing their metallicities. Methods. We conducted a joint analysis of 13 massive elliptical galaxies using MUSE/VLT and Chandra …
Enhancing Team Science By Training Collaborative Biostatisticians To Have A Strong Statistical Voice, Gina-Maria Pomann, Steven C. Grambow, Marissa C. Ashner, Bibhas Chakraborty, Nan Liu, Megan L. Neely, Sarah Peskoe, Lacey Rende, Emily Slade, Tracy Truong, Lexie Zidanyue Yang, Greg P. Samsa, Jesse D. Troy
Enhancing Team Science By Training Collaborative Biostatisticians To Have A Strong Statistical Voice, Gina-Maria Pomann, Steven C. Grambow, Marissa C. Ashner, Bibhas Chakraborty, Nan Liu, Megan L. Neely, Sarah Peskoe, Lacey Rende, Emily Slade, Tracy Truong, Lexie Zidanyue Yang, Greg P. Samsa, Jesse D. Troy
Biostatistics Faculty Publications
Strong statistical voice is defined as the ability to advocate and negotiate for good and ethical statistical practices, including integrating and resolving differing scientific approaches. This skill is crucial for biostatisticians who work on biomedical research teams, as it ensures the integrity and accuracy of statistical analyses and fosters productive collaborations with non-statisticians. Despite its importance, new graduates often lack targeted training opportunities. This manuscript presents a scalable training approach through the development of online videos. Preliminary didactic materials focused on two key applications: providing written comments on manuscripts and engaging in study design discussions. To evaluate this training approach, …
Hepatitis C Virus Transmission Among People Who Inject Drugs In Rural United States: Mathematical Modeling Study Using Stochastic Agent-Based Network Simulation, Lin Zhu, Jennifer R. Havens, Abby E. Rudolph, April M. Young, Golnaz Eftekhari Yazdi, William W. Thompson, Liesl M. Hagan, Liisa M. Randall, Jianing Wang, Rebecca Earnest, Shayla Nolen, Benjamin P. Linas, Joshua A. Salomon
Hepatitis C Virus Transmission Among People Who Inject Drugs In Rural United States: Mathematical Modeling Study Using Stochastic Agent-Based Network Simulation, Lin Zhu, Jennifer R. Havens, Abby E. Rudolph, April M. Young, Golnaz Eftekhari Yazdi, William W. Thompson, Liesl M. Hagan, Liisa M. Randall, Jianing Wang, Rebecca Earnest, Shayla Nolen, Benjamin P. Linas, Joshua A. Salomon
Center on Drug and Alcohol Research Faculty Publications
People who inject drugs (PWID) account for the majority of hepatitis C virus (HCV) infections in the United States. The injection-equipment-sharing network likely plays an important role in shaping the dynamics of HCV transmission. Recognizing the emerging HCV epidemic in rural communities, we developed an agent-based network simulation model of HCV transmission via injection equipment sharing and used data on rural PWID networks to inform model parameterization and calibration. We then simulated an array of networks that varied key network properties to understand their impact on the magnitude and distribution of HCV incidence. The results show substantial heterogeneity in HCV …
A Specification-Driven Framework For Self-Supervised Learning In Specialized Vision Domains, Mahmut S. Gokmen
A Specification-Driven Framework For Self-Supervised Learning In Specialized Vision Domains, Mahmut S. Gokmen
Theses and Dissertations--Computer Science
Self-supervised learning (SSL) has emerged as a principled approach to visual representation learning that derives supervisory signal directly from unlabeled data, enabling foundation models to be trained at scale without manual annotation. Deployments in medical imaging and biometric recognition have demonstrated the potential of this paradigm, yet the assumptions that make SSL effective on natural image benchmarks fail systematically in specialized domains. Generic SSL pipelines encode a tacit assumption that the most informative correspondence is spatial proximity within a single acquisition. In specialized domains this assumption breaks at the level of the data-generating process: the signal that carries domain-specific information …
Role Of Estrogen Receptor Alpha In Modulating The Circadian System In Female Mice, Victoria Alvord
Role Of Estrogen Receptor Alpha In Modulating The Circadian System In Female Mice, Victoria Alvord
Theses and Dissertations--Biology
Circadian rhythms are approximately 24-hour cycles of physiology and behavior. Circadian rhythms of eating, or meal timing, are linked to cardiometabolic dysfunction in humans. Mistimed eating, such as breakfast skipping and eating late at night, increases the risk of obesity, diabetes, and cardiovascular disease in humans. Likewise, disrupted eating rhythms cause obesity in mice. This dissertation investigates how estrogens regulate eating behavior rhythms and tissue clock timing in female mice. Chapter 1 reviews three key components critical to this work. The first is an overview of the field of chronobiology and the function of the circadian system. The second is …
Understanding The Drivers Of Marine Sediment Diagenesis In Carbonate-Bearing Sediments, Alex Reis
Understanding The Drivers Of Marine Sediment Diagenesis In Carbonate-Bearing Sediments, Alex Reis
Theses and Dissertations--Earth and Environmental Sciences
Marine sediments serve as an important geochemical record used to study how the Earth’s climate and oceans have changed throughout geologic time. As such, it is critical to understand how these sediments can be altered following deposition on the seafloor. This dissertation targeted two key geochemical archives, carbonate and pyrite, to link changing burial conditions with the resulting marine sediment chemistry. In particular, primary carbonate minerals record several indicators of past ocean chemistry, while pyrite preserves information related to the redox state of the sediment during deposition and burial. Additionally, secondary processes associated with changes in pore fluid chemistry and …
Use Of Stable Isotope Geochemistry To Determine The Paleoenvironment Of The Pond Creek Coal Bed, Pike County, Eastern Kentucky, Vivian A. Edwards
Use Of Stable Isotope Geochemistry To Determine The Paleoenvironment Of The Pond Creek Coal Bed, Pike County, Eastern Kentucky, Vivian A. Edwards
Theses and Dissertations--Earth and Environmental Sciences
Wetlands are both critical habitats and bellwethers of the health of the environment. Coal, being the remains of wetlands, offers the possibility of understanding the evolution of wetlands over large climatic shifts. The paleoenvironment of coals can be determined from palynology, petrology, and geochemistry. Stable isotope ratios within coal, including carbon (δ13C), nitrogen (δ15N), and sulfur (δ34S), are established tools for paleoenvironmental reconstructions. These ratios can be correlated to flora, geochemistry, macerals, and bacterial activity. However, carbon, nitrogen, and sulfur have given conflicting results in some studies and their correlation to known variables is …
On Stripping And Antipodes In Motivic Steenrod Algebras, Joshua A. Peterson
On Stripping And Antipodes In Motivic Steenrod Algebras, Joshua A. Peterson
Theses and Dissertations--Mathematics
We generalize the stripping process to the (mod 2) $\mathbb{C}$- and $\mathbb{R}$-motivic settings. Throughout, we include discussion on how the process changes and the difficulties moving to more general settings. We also introduce antipodes and consider what a potential $\mathbb{R}$-motivic analogue may look like. Finally, we elaborate on how the results may be used in future work to generalize a nilpotence result of Walker and Wood.
Extensions Between Modules Defined By Lattice Paths In The Preprojective Algebra, Chloe Napier
Extensions Between Modules Defined By Lattice Paths In The Preprojective Algebra, Chloe Napier
Theses and Dissertations--Mathematics
In 2001, Fomin and Zelevinsky introduced cluster algebras which appear as coordinate rings of many varieties. We study cluster algebras coming from Richardson varieties. Leclerc gives a cluster structure on Richardson varieties using the representation theory of preprojective algebras. While this construction is very algebraic, we take a more combinatorial approach. The main goal is to find a combinatorial description for when certain cluster variables are compatible, or equivalently when modules defined by lattice paths in the preprojective algebra have trivial extensions. We extend the known results from Geiss, Leclerc, and Schröer that answer this question in the case of …
A Character Theory For Loop Representations Of Symmetric Monoidal Bicategories, Jordan Sawdy
A Character Theory For Loop Representations Of Symmetric Monoidal Bicategories, Jordan Sawdy
Theses and Dissertations--Mathematics
Character theory arises in many distinct fields of mathematics, but its many instantiations often share a few key features: they arise in contexts where one object is acted on or parametrized by another, and they are often computed via "trace-like" formulas. Focusing on these properties, we present a categorical formalism for constructing such characters. We first define a notion of "loop representation" for symmetric monoidal bicategories, then build a character for such representations via the canonical symmetric monoidal trace. We then show that this character defines a symmetric monoidal functor which satisfies commutativity properties with respect to both restriction- and …
Inverse Problems For The Radiative Transport Equation In Local And Non-Convex Geometries, Faith E. Hensley
Inverse Problems For The Radiative Transport Equation In Local And Non-Convex Geometries, Faith E. Hensley
Theses and Dissertations--Mathematics
Inverse problems for the radiative transport equation (RTE) arise in a wide range of imaging applications, including optical tomography and problems motivated by non-line-of-sight imaging. Classical reconstruction methods rely heavily on ballistic, or unscattered, photons and typically require full boundary access, leading to severe instability and limited applicability in geometrically constrained settings. This dissertation investigates inverse radiative transport problems with restricted boundary data and develops reconstruction techniques based on scattered photons. The central focus of this work is the analysis and isolation of the single-collision term in the collision expansion of solutions to the RTE. By exploiting its distinct analytical …
Combinatorial Models For Nonnegativity In Flag Varieties, Williem L. Rizer
Combinatorial Models For Nonnegativity In Flag Varieties, Williem L. Rizer
Theses and Dissertations--Mathematics
The nonnegative Grassmannian admits a widely studied cell decomposition due to Alexander Postnikov, whose cells are indexed by positroids and modeled by several equivalent combinatorial objects. Subsequent work by authors including Lauren Williams, Suho Oh, and Carolina Benedetti has further developed the combinatorics and geometry of these structures. In this dissertation, we extend some of Postnikov’s combinatorial framework to the nonnegative flag variety. While cell decompositions in this setting were previously obtained, notably in work of Konstanze Rietsch, our focus is on providing new combinatorial models that make this structure more explicit and computationally tractable. We introduce flag positroid pipe …
The Interaction Between Additive And Multiplicative Structures In Arithmetic Settings, Ali Alsetri
The Interaction Between Additive And Multiplicative Structures In Arithmetic Settings, Ali Alsetri
Theses and Dissertations--Mathematics
The first part of this thesis is concerned with Goldbach-type problems. In recent years, there has been an interest in developing density versions of Goldbach-type results. Namely, given a relatively dense subset A of the primes, one may study representations of integers as sums of primes belonging to the subset A. These density Goldbach-type results have been facilitated by the development of new tools from additive combinatorics, in particular the Fourier-analytic transference principle due to Green. We apply the transference principle to obtain a variant of Vinogradov’s theorem involving subsets of primes confined to the residue class 1 (mod 3). …
Local Energy Decay For Non-Stationary Damped Wave Operators, Nicholas Dj Arsenault
Local Energy Decay For Non-Stationary Damped Wave Operators, Nicholas Dj Arsenault
Theses and Dissertations--Mathematics
This work establishes integrated local energy decay (ILED) estimates for the damped wave equation on certain non-stationary spacetimes. The main technical result is a high frequency estimate that holds in great generality, provided that null geodesics trapped in a compact region are sufficiently damped. This is combined with low- and medium-frequency estimates to establish full local energy decay. We conclude by providing a counterexample where the damping assumption fails and local energy decay does not hold.
Understanding Möbius Inversion As Composite Of Dual Pairs, Isaac B. Kochmaan
Understanding Möbius Inversion As Composite Of Dual Pairs, Isaac B. Kochmaan
Theses and Dissertations--Mathematics
Möbius inversion is a well-studied computational tool in number theory and combinatorics, but it exhibits a pattern which may be familiar to those who study categorical traces. In 2016, Kate Ponto and Michael Shulman characterized duality and traces in the bicategory of profunctors for a particularly nice class of one-cells. We extend these results. Consequently, we construct, for a given poset, a profunctor whose Euler characteristic is the Möbius function of said poset. In light of this, we propose a categorical notion of Möbius inversion.
Design And Advancement Of Analytical Frameworks For In Vivo Single-Photon Calcium Imaging To Characterize Temporal- And Treatment-Dependent Neural Adaptations To Opioid Exposure And Withdrawal In The Medial Prefrontal Cortex, Alexia R. Alsum Dr.
Theses and Dissertations--Pharmacy
Despite the availability of several approved medications for opioid use disorder (OUD), it remains a significant public health concern characterized by persistent neurobiological adaptations that drive relapse and impede successful recovery. The medial prefrontal cortex (mPFC), a region critical for executive control and decision-making, undergoes pronounced functional changes during chronic opioid exposure and withdrawal, yet the cellular mechanisms underlying these adaptations remain poorly understood. This dissertation aims to investigate longitudinal alterations in mPFC neural activity across opioid exposure and withdrawal using in vivo single-photon calcium imaging and newly developed computational frameworks.
Following standard preprocessing to extract and normalize calcium traces, …
Exploring The Limitations Of Substrate Scope In Dimethylallyltryptophan Synthases, Evan T. Miller
Exploring The Limitations Of Substrate Scope In Dimethylallyltryptophan Synthases, Evan T. Miller
Theses and Dissertations--Pharmacy
Natural products (NPs), are the largest source of bioactive compounds in Nature, and are essential to the treatment of human disease. Nearly 50% of drugs approved for use from 1981 to 2019 owe some aspect of their development to NPs, either in terms of their structure, pharmacophore, or mechanism of action. However, NPs are difficult to structurally optimize. Chemoenzymatic methods for NP derivatization have been increasingly seen as practical alternatives to traditional synthetic methods. Prenyltransferases (PTs) are involved in the primary and secondary metabolism of plants, bacteria, and fungi, and they are key enzymes in the biosynthesis of many clinically …
Validation Of Final And Dynamic Subsidence Prediction Models Using The Influence Function Method, Carlos M. Hernandez Garcia
Validation Of Final And Dynamic Subsidence Prediction Models Using The Influence Function Method, Carlos M. Hernandez Garcia
Theses and Dissertations--Mining Engineering
This study evaluates the Surface Deformation Prediction System (SDPS Version 7) for predicting final and dynamic subsidence in longwall mining. Using the influence function method, SDPS 7 was calibrated using data from the Quarto 7 Mine (Ohio, USA) and two panels in Anhui Province, China, to test the reliability of the method under varying geological and operational conditions, particularly low advance rates.
For the Quarto 7 Mine, monument line C provided the optimal set of subsidence parameters: SSF of 78%, tanβ of 2.97, edge‑effect offset of 160 ft, with an RMSE of 0.108 ft. These values aligned with estimates obtained …