Physical Sciences and Mathematics Commons^™

Modeling The Kepler Systems With Multiple Transiting Planets, Daniel Kempton Jones

Theses and Dissertations

As the study of exoplanets, planets not in our solar system, has developed, new observational constraints have illuminated the formation and evolution of planetary systems. Among these observations, the true distributions of planetary mass, radius, and density are at the forefront. NASA's Kepler Space Telescope has provided an enormous wealth of data on the exoplanet radius distribution as well as a significant fraction of mass measurements through the detection of planet-planet dynamical interactions. The best method for studying these exoplanetary systems is with a photodynamical model which combines an n-body integrator with lightcurve model to generate synthetic lightcurves. To support …

Prime Factors Of The Third Cyclotomic Polynomial Of The Same Form And Inequalities Related To Odd Perfect Numbers, Cody Stenberg Hansen

Theses and Dissertations

This thesis relates some results about odd perfect numbers and factorizations of cyclotomic polynomials evaluated on integers. In Chapter 2 we parameterize solutions to the equality $\Phi_3(x)=\Phi_3(a_1)\Phi_3(a_2)\cdots\Phi_3(a_n)$, where $x,a_i\in \Z_{>0}$ for $1\leq i\leq n$, $\Phi_3$ is the third cyclotomic polynomial, and each $\Phi_3(a_i)$ is prime, in the cases that $n=2,3,4,5$. Let $N$ be an odd perfect number. Let $\omega(N)$ be the number of distinct prime factors of $N$ and let $\Omega(N)$ be the total number (counting multiplicity) of prime factors of $N$. In Chapter 3, we use a result from Chapter 2 to show that $\frac{99}{37}\omega(N) - \frac{187}{37} \leq …

A Novel Approach To Detect Shapes Of Constant Width, Ian D. Monk

Theses and Dissertations

Bodies of constant width have been studied mathematically since Euler and have found various applications in engineering and other areas. In this paper, we seek to develop novel tools to gain deeper insights into these shapes and to better be able to analyze them. The idea which motivates the development in this paper is as follows: a body has constant width if and only if the chord connecting the intersections of the boundary of the body with each pair of parallel hyper planes which lie tangent to a body lies perpendicular to the hyper planes.This is a known fact and …

A Complete Guide To Multi-Fidelity No-U-Turn Sampling With Application To An Inverse Wave Problem, Paul Smith

Theses and Dissertations

We employ a Bayesian framework to solve an inverse problem that aims to identify the initial condition distribution of wave propagation, given a limited set of observable data. To optimize sampling efficiency, we introduce a multi-fidelity No-U-Turn Sampler (MF-NUTS) with an adaptive mass matrix. Maximizing sampling efficiency is crucial, as our ultimate goal is to extend this methodology to a large-scale inverse problem to identify the source parameters of historical tsunami-generating earthquakes. The forward model for tsunami propagation (GeoClaw) requires over 20 minutes of supercomputer time on 24 cores to evaluate each sample for a triple-fault rupture, necessitating a strategy …

Optimizing Aircraft Taxi Processes: A Novel Cost-Minimizing Queue Discipline For The Pushback To Runway Process, Kevin James

Theses and Dissertations

Optimization of the aircraft taxi process can significantly decrease operating costs for air carriers, especially at major airports where congestion on the ramp is a primary contributor to taxi times. To improve the efficiency of this process, we propose a novel queue discipline which mitigates pushback delays through a dynamic reordering of clearance deliveries. As an alternative to FIFO, the proposed discipline accounts for aircraft delays at the gate before the aircraft enters the queueing system. Our proposed system implements pushback control to allow for controller-imposed variability in runway queueing. To validate our proposed queue discipline, we provide a computational …

Reservoir Characterization And Basin Modeling Of Mesozoic Siliciclastic Strata For Sedimentary Geothermal Exploration, Iron County, Utah, Theodore L. Morgan

Theses and Dissertations

The transition zone between the Colorado Plateau and Basin and Range provinces of southwestern Utah provides excellent opportunities for future geothermal resource development. A combination of large fault-controlled extensional basins with outcrop analogs along basin margins, an elevated heat flow and thermal regime and the presence of porous and permeable sedimentary formations within extensional sedimentary basins allow for sedimentary geothermal exploration and development. Utilizing a reservoir-centered approach has the potential to dramatically expand the economic limits of geothermal plays in both established and frontier basins. This study characterizes a sedimentary geothermal system in Iron County Utah, centered on the Escalante …

Building And Understanding Cryptographic Authentication Systems, James S. Conners

Theses and Dissertations

The security and usability challenges of password-based authentication have driven ongoing research into alternative cryptographic authentication systems. This dissertation explores the design, implementation, and evaluation of authentication mechanisms that enhance security while maintaining usability. Specifically, we investigate the limitations of existing passwordless authentication systems, such as FIDO2, and propose novel solutions that improve account recovery, user mental models, and adoption rates. We introduce Let's Authenticate, a certificate-based authentication system designed to address usability and security concerns inherent in existing models. Through iterative development and empirical studies, we compare this approach against contemporary methods like passkeys and password managers. Additionally, we …

Adapting Biological Mechanisms Into Machine Learning Structures And Gradient Propagation, Hao Yu

Theses and Dissertations

As neuromorphic computing gains traction, researchers look for learning schemes that are more suitable for brain-like structures. Although many algorithms have been discovered, such as surrogate gradient or Spike Timing Dependent Plasticity, those algorithms are either unsuitable for on-chip training or not biologically aligned. The goal of this thesis is to discover a learning algorithm which is biologically aligned and suitable for on-chip training. Through the discoveries of our two papers, we are able to introduce the concepts of synaptic clefts and neurotransmitters into a common spiking neuron network. We also designed an error propagation method aligning with biology. With …

From The University To The Universe: A Scientific And Historical Overview Of The West Mountain Observatory, Amber Zendejas, Dan Broadbent

BYU West Mountain Observatory Project

BACKGROUND

• November 1980 - Construction began on the observatory’s main building

• 1981 - Observations begin, away from Provo’s Light Pollution

• Located on West Mountain, west of Spanish Fork, UT

Stability Of Lif Mirror Coatings On Space Telescopes At L2 Orbit, Devin M. Lewis

Theses and Dissertations

A team at Goddard Space Flight center has developed a coating of aluminum mirrors they term XeLiF. This coating has high ultraviolet reflection and improved environmental stability over similar LiF coatings. For these reasons, it is a potential candidate for the future Habitable Worlds Observatory (HWO) flagship space telescope mission. However, the stability of XeLiF at the planned L2 orbit of HWO has not been investigated. This study highlights the potential damage to XeLiF when irradiated by electrons that will be present at L2. This radiation will begin removing LiF after 6 years of exposure as well as start roughening …

Open Path Spectroscopic Detection Of The Hydroxyl Radical: A Comparison Between Broadband Cavity-Enhanced Absorption Spectroscopy (Bbceas) And Bbceas Coupled With A Fabry-Pérot Interferometer (Bbceas-Fp), Callum Flowerday, Ryan Thalman, Matthew C. Asplund, Samuel A. Badstubner, Adam K. Cook, Philip Lundrigan, Jaron C. Hansen

ScholarsArchive Data

Data collected by the BBCEAS and BBCEAS-FP instruments described in the paper "Open Path Spectroscopic Detection of the Hydroxyl Radical: A Comparison Between Broadband Cavity-Enhanced Absorption Spectroscopy (BBCEAS) and BBCEAS coupled with a Fabry-Pérot Interferometer (BBCEAS-FP)"

Narrative Engineering: Tools, Computational Structure, And Impact Of Stories, Michael A. Debuse

Theses and Dissertations

Computational Linguistics has a long history of applying mathematics to the grammatical and syntactic structure of language; however, applying math to the more complex aspects of language, such as narrative, plot, scenes, character relations, causation, etc. remains a difficult topic. The goal of my research is to bridge the narrative humanities with mathematics, to computationally grasp at these difficult topic, and help develop the field of Narrative Engineering. I view narrative and story with the same mathematical scrutiny as other engineering fields, to take the creativity and fluidity of story and encode it in mathematical representations that have meaning beyond …

Development Of A Real-Time Convolution System To Simulate Speech In Different Rooms For The Study Of Vocal Strain, Bethany E. Wu

Theses and Dissertations

Due to prevalent vocal health issues in teachers, the acoustics of K-12 classrooms has become a topic of study in acoustics. One way to understand the effects of a classroom's physical space on speech is with vocal effort studies. This thesis aims to enable these studies, without the need to move a talker from room to room, by creating auralizations through real-time convolution of speech with oral binaural room impulse responses (OBRIRs). These auralizations can be used to test talkers inside an anechoic chamber as they experience speaking in different acoustical environments. A system that can successfully execute convolution in …

Geochemical Characterization And Predictive Soil Mapping Of Ice-Free Regions In Antarctica, Rachel Willmore

Theses and Dissertations

Antarctic soils are formed by extreme climate, minimal biological activity, and diverse geological settings. This study analyzes 201 soil samples across four ice-free Antarctic Conservation Biogeographic Regions - North-west Antarctic Peninsula, Transantarctic Mountains, South Victoria Land, and North Victoria Land - to create a geochemical database (pH, EC, CEC, C and N, and ion concentrations) as well as to determine if there are consistent trends between geochemical properties and soil forming factors (SCORPAN). Despite variation in geochemical properties and SCORPAN covariates, some consistent trends emerged across all regions and individual Antarctic Conservation Biogeographic Regions. Using SCORPAN covariates and multiple linear …

Contributions Of Glacier Meltwater To Water Resources And Water Quality Below The Ablating Coropuna Ice Cap In The Arid Peruvian Andes, Alexis Rowley

Theses and Dissertations

Rapidly retreating glaciers in the arid tropics are an invaluable resource for communities that depend on meltwater to support drinking water, agriculture, hydropower production, and mining. There is limited understanding of how glacier loss will impact regional water resources, groundwater flow paths, and water quality, especially during the dry season. The Nevado Coropuna volcano in Southern Peru has one of the largest remaining ice caps in the tropics, but has experienced rapid ice loss in the past few decades and is projected to disappear in the next century due to climate change. Located in the northern Atacama Desert, the arid …

Using Two-Dimensional Terahertz Spectroscopy To Explore Vibrations, Magnetism, And Their Coupling, Megan Faux Biggs

Theses and Dissertations

Terahertz (THz) light is at the resonant frequency of important fundamental excitations within crystalline materials such as carrier dynamics, phonons, and spin-wave excitations called magnons. THz light can be produced at high field strengths using optical rectification in nonlinear optical (NLO) crystals. N-benzyl-2-methyl-4-nitroaniline (BNA) is one such crystal commonly used to produce THz when pumping with 800 nm light. Here, we improve upon the design of the molecular building blocks of BNA by replacing a hydrogen atom with a fluorine atom, leading to improved THz generation and a higher crystal damage threshold. Later, we focus on using THz light to …

New Chapters In An Old Book: New Discoveries In Transferrin's Blood Stream Modulators And Analytical Methods, Shelby Thomas Harris

Theses and Dissertations

Human serum transferrin is a 79 kDa glycoprotein responsible for the safe transport of iron throughout the blood stream. Transferrin binds up to two ferric ions in two domains known as the N-lobe and C-lobe respectively. Thus, there are four transferrin metalloforms: apo-Tf (with no iron bound), FeN-Tf (with one iron bound in the N-lobe), FeC-Tf (with one iron bound in the C-lobe) and holo-Tf(with two iron ions bound, one in each of the lobes). The two domains are homologous but feature differences in the kinetics and thermodynamics of iron binding and release. The two lobes are also different in …

Time Reversal Delivery Of Long Duration Noise To A Targeted Location: Achieving Higher Amplitude While Maintaining A Desired Spectral Shape And Maximizing The Spatial Extent, Rylee Scott Russell

Theses and Dissertations

Time Reversal (TR) is a signal processing technique that can be used to focus acoustic waves to a specific location in space, with most applications aiming to create an impulsive focus. This study instead aims to focus long-duration noise signals using TR. This thesis seeks to generate higher amplitude noise at a desired location over an existing method of broadcasting equalized noise. Additionally, this thesis explores various characteristics associated with focusing long duration noise using TR. The dependence of the focal amplitude on the duration of the focused signal is explored as well as the implications of using multiple sources …

Grain Boundary Solute Segregation Across The 5d Space Of Crystallographic Character, Lydia Harris Serafin

Theses and Dissertations

Solute segregation in materials with grain boundaries (GBs) has emerged as a popular method to thermodynamically stabilize nanocrystalline structures. However, the impact of varied GB crystallographic character on solute segregation has never been thoroughly examined. This work examines Co solute segregation in a dataset of 7272 Al bicrystal GBs that span the 5D space of GB crystallographic character. Considerable attention is paid to verification of the calculations in the diverse and large set of GBs. In addition, the results of this work are favorably validated against similar bicrystal and polycrystal simulations. As with other work, we show that Co atoms …

Performance Prediction For Hub-Based Swarms, Puneet Jain

Theses and Dissertations

Optimization problems lie at the core of improving performance in various tasks, ranging from day-to-day work scheduling to coordinating robots in a warehouse fulfillment center. Distributed swarm systems provide a robust and adaptive solution approach to many optimization problems. Instead of using one really sophisticated agent, multiple smaller less sophisticated agents can provide the flexibility to evaluate more options and still provide a "good" answer. This dissertation uses graphs to model, analyze, and simulate swarm behavior, primarily to predict the time-to-converge (TTC) and success probability. First, we use a bipartite model for the distributed best-of-N problem, and show how the …

Design And Synthesis Of Bimetallic Catalyst And Multifunctional Peptide Catalysis For Organic Synthesis And Synthesis Of Proteolysis Targeting Chimeras (Protacs) For Sphk1 And Sphk2, Mariur Rodriguez Moreno

Theses and Dissertations

In the first part of this dissertation (chapters 1-4) we discuss the development of bimetallic and monometallic palladium complexes scaffolded on 2-phosphinoimidazole ligands and their application to cross-coupling reactions. Specifically, we discovered a bimetallic Pd(II) dimer that performs a tandem arylation/annulation reaction to produce naphthalene products from aryl iodides and ketones (Chapter 2). We then show that bimetallic Pd(II) and Pd (I) complexes have different activity in different transformations and that the starting oxidation state of our catalysts is important for reactivity (Chapter 3). For example, we demonstrate that our Pd(I) dimer is much more active in Buchwald- Hartwig amination …

Using Supervised Learning To Predict The Band Rank Of Braids, Juliana Moraes

Undergraduate Honors Theses

Supervised learning has emerged as a powerful tool for solving complex classification problems across various domains, including mathematical structures. In the realm of braid theory, an intriguing challenge involves determining the number of bands in a mathematical braid, which is crucial for understanding braid complexity and its applications. This thesis introduces an approach leveraging supervised learning to tackle this problem. Using different representations of a braid (namely braid words and Lawrence-Krammer representations), we train a supervised learning model to predict the number of bands in a given braid. The approach involves constructing a labeled dataset of braids with known band …

Intramolecular Styryl Diels-Alder (Isda) Reaction For Synthesizing Derivatives Of Anticancer Lignans, Kriti Shrestha

Theses and Dissertations

Intramolecular Styryl Diels-Alder (ISDA) cycloaddition reactions are used widely in synthesizing complex natural products. They help synthesize polycyclic cores and form new chiral centers in the molecule. Among such natural products, lignans are considered important biomedical molecules due to their numerous pharmacological properties, such as antitumor, hepatoprotective, insecticidal, antifungal, antihypertensive, sedative, antioxidant, and antiparasitic. Numerous researchers have published their work in trying to synthesize different lignans for medicinal purposes. However, the lignans are challenging to synthesize because of their complex tetralin cores. This project focuses on synthesizing the polycyclic core for the analogs of anti-cancer compounds with ISDA reaction. The …

Synthesis Of Glycan Antigens For Therapeutic Antibodies And Glycoconjugate Vaccines, Synthesis Of An Inflammatory Pentasaccharide, And Design And Synthesis Of Ceragenins For Use In Medical Devices And Osteomyelitis, Shawn Gubler

Theses and Dissertations

A promising approach in combatting infections from antibiotic resistant bacteria/fungi is using therapeutic monoclonal antibodies (mAbs) that can bind the outer surfaces of microbes. We have developed a synthetic vaccine platform that can rapidly generate mAbs against surface glycans from desired strains, such as lipopolysaccharides and capsular polysaccharides. To create therapeutic antibodies against Ruminococcus gnavus, Burkholderia multivorans, and Staphylococcus aureus, we synthesize glycan antigens from each strain that are necessary for use in our glycoconjugate vaccine platform. Blooms of the Gram-positive bacterium Ruminococcus gnavus have been correlated with inflammatory bowel disease, and recently a polysaccharide produced by this organism was …

Sulfhydryl-Containing Compounds And Iron Homeostasis: Mechanisms Of Labile Iron Pool Dysregulation And Consequences For Cellular Health, Steven Lowell Mann Christiansen

Theses and Dissertations

While iron's unique coordination chemistry and redox activity have resulted in its broad incorporation into biological systems, dysfunction in key iron-regulating mechanisms can transform these biochemical advantages into factors that contribute to several pathological conditions. This dissertation explores the complex interactions between iron and sulfhydryl-containing compounds (SCCs), with particular focus on glutathione's (GSH) role in stabilizing iron reactivity juxtaposed with homocysteine's (Hcy) ability to disrupt iron homeostasis and promote disease progression. Through rigorous biochemical analysis and experimentation, we demonstrate that Hcy disrupts iron regulation through several mechanisms: (1) Hcy competitively displaces protective iron-binding molecules in the Labile Iron Pool (LIP), …

Raman Characterization Of Elastomeric Materials, Shane Michael Drake

Theses and Dissertations

Raman spectroscopy is often used for material identification but may be used for characterization. This document focuses on using Raman measurements to characterize polymers, specifically the curing and aging mechanism for hydroxyl-terminated polybutadiene (HTPB). HTPB is a well-known elastomer used in sealants, non-slip surfaces, rocket repellants and plastic explosives. Raman spectroscopy was used to monitor urethane linkages that form from curing HTPB with a cyanate curing agent to suggest a curing mechanism for HTPB. Since this polymer is highly susceptible to oxidation, the methods used to characterize curing were also used for the aging process to see if urethane breakages …

Nonlinear Thomson Scattering In An Intense Tightly Focused Ultrashort Laser Pulse, Yance Sun

Theses and Dissertations

We investigate nonlinear Thomson scattering generated by intense laser pulses focused in noble gases. Electrons are ionized from low-density helium or argon early during the laser pulse and scatter light out the side of the focus. We measure fundamental, second, and third harmonic light focus over nearly the entire emission sphere. We investigate the influence of electron bunching, when individual atoms ionize multiple electrons sequentially as the laser field increases early during the laser pulse. Simulations suggest that correlation between electron positions for the ten electrons ionized from argon should distort the spatial pattern of nonlinear Thomson scattering relative to …

Enhancing Muscle Health And Modulating Immune Response With Galectin-1 In Lgmd2b/R2 Models, Stefannia Esparza Pulido

Theses and Dissertations

Limb-Girdle Muscular Dystrophy Type 2B/R2 (LGMD2B/R2) is a type of dysferlinopathy, a progressive muscle-wasting disorder caused by mutations in the dysferlin gene. Hallmarks of the disease include chronic inflammation, impaired muscle regeneration, and eventual muscle degeneration. Currently, no FDA-approved therapies are available for dysferlinopathies. Recombinant human Galectin-1 (rHsGal-1) has shown multiple roles in maintaining skeletal muscle homeostasis, promoting muscle repair, enhancing myogenesis, and modulating inflammation by downregulating the NF-κB pathway. The ability of rHsGal-1 to modulate the immune response is particularly promising for therapeutic applications in patients with LGMD2B/R2. In this study, we evaluated the effects of rHsGal-1 in a …

Advancements Of A Vibration-Based Sound Power Method For Direct And Indirect Applications, Ian Charles Bacon

Theses and Dissertations

This dissertation advances the Vibration-Based Sound Power (VBSP) method for measuring the sound power of vibrating structures, expanding its applicability to a wider range of geometries and acoustic environments. The research addresses limitations of traditional sound power measurement techniques by developing an alternative method that achieves near Precision (Grade 1) accuracy while maintaining feasibility for in situ testing under uncontrolled acoustic conditions. After reviewing the current VBSP method in Unit 1, Unit 2 introduces stitching techniques for Scanning Laser Doppler Vibrometer (SLDV) measurements, enabling accurate 3D scans and extending the method to complex geometries. Experimental validation is provided for baffled …

Equipping Future Physicians With Artificial Intelligence Competencies Through Student Associations, Spencer Hopson, Carson Mildon, Kyle Hassard, Paul Urie, Dennis Della Corte

Faculty Publications

Advances in artificial intelligence (AI) in the medical sector necessitate the development of AI literacy among future physicians. This article explores the pioneering efforts of the AI in Medicine Association (AIM) at Brigham Young University, which offers a framework for undergraduate pre-medical students to gain hands-on experience, receive principled education, explore ethical considerations, and learn appraisal of AI models. By supplementing formal, university-organized pre-medical education with a student-led, faculty-supported introduction to AI through an extracurricular academic association, AIM alleviates apprehensions regarding AI in medicine early and empowers students preparing for medical school to navigate the evolving landscape of AI in …