Physical Sciences and Mathematics Commons^™

Policy Analysis: Alaska Salmon Hatcheries, Jessica Eller

Graduate Student Theses, Dissertations, & Professional Papers

Using an adapted Ecological Risk Assessment (ERA) - Evaluation, this study analyzes policy regulating Alaska salmon hatcheries to evaluate its effectiveness at sustaining wild salmon runs.When Alaska became a state in 1959, its salmon industry was suffering from years of overfishing. Runs were at an all-time low, prompting constitutional drafters to mandate management of salmon via the sustained yield principle. The hatchery system that operates today and is responsible for a third of the commercial catch each year was put in place in the 1970s to help supplement depressed salmon runs. The effects of hatchery salmon on wild salmon populations …

The Forensic Characterization Of Bacterial And Fungal Organisms In Traditional Chinese Medicine, Julia Grzymkowski, Christopher J. Ehrhardt, Justin L. Poklis, Michelle R. Peace

UROP Posters

There has been an increase in use of Traditional Chinese Medicine (TCM) in the United States because they are less expensive and believed to be more effective with less adverse effects in comparison to traditional pharmaceutics. Therefore, sales have increased in the US, despite articles and case studies demonstrating the dangers, such as injury and death, related to TCM, stemming from improper labelling, toxic contaminants, and, in some cases, the presence of pathogenic bacteria. The aim of this study was to perform a survival experiment to demonstrate the importance of proper herbal brewing technique and to conduct a molecular and …

Energetics And Vibrational Signatures Of Nucleobase Argyrophilic Interactions, Suhwan Paul Lee

Honors Theses

This study investigates the interactions of both purine (adenine and guanine) and pyrimidine (cytosine, thymine, and uracil) nucleobases with a pair of silver atoms (Ag2). Full geometry optimizations were performed on several structures of each nucleobase/Ag2 complex and the corresponding isolated monomers using the M06-2X density functional theory (DFT) method with a correlation consistent triple-ζ basis set augmented with diffuse functions on all atoms and a relativistic pseudopotential on Ag (aug-cc-pVTZ for H, C, N, and O and aug-cc-pVTZ-PP for Ag; denoted aVTZ). Harmonic vibrational frequency computations indicate that each optimized structure corresponds to a minimum on the M06-2X/aVTZ potential …

On A Pseudodifferential Calculus With Modest Boundary Decay Condition, Binbin Huang

Graduate Dissertations and Theses

A boundary decay condition, called vanishing to infinite logarithmic order is introduced. A pseudodifferential calculus, extending the b-calculus of Melrose, is proposed based on this modest decay condition. The mapping properties, composition rule, and normal operators are studied. Instead of functional analytic methods, a geometric approach is invoked in pursuing the Fredholm criterion. As an application, a detailed proof of the Atiyah-Patodi-Singer index theorem, including a review of Dirac operators of product type and construction of the heat kernel, is presented.

Mapreduce And Heterogeneity: Power-Aware Bag-Of-Tasks, Framework Parameter Sensitivity, And Dynamic Cluster Aware Framework Configuration, Jessica L. Hartog

Graduate Dissertations and Theses

This dissertation presents the techniques for adaptation of MapReduce frameworks to incorporate heterogeneity-aware scheduling algorithms, an inspection of cluster configurations and how they impact these scheduling algorithms, an analysis regarding how the cluster configuration and the heterogeneity-aware scheduling can work together to minimize turnaround time and/or power consumption of the cluster when executing MapReduce applications, and how these lessons can be applied more broadly to Big Data infrastructure outside of MapReduce that supports multiple Big Data frameworks simultaneously.

Heterogeneity exists in various capacities in any given cluster, from static (Physical and Platform) heterogeneity to dynamic heterogeneity (Transient Data, Transient Applications, …

Automating The Calculation Of Hilbert-Kunz Multiplicities And F-Signatures, Gabriel Johnson

Honors Theses

We describe an application written to automate a calculation for the mathematical research of Dr. Spiroff of University of Mississippi & Dr. Enescu of Georgia State University. This work represents a way to overcome the barriers of the mathematical calculations in obtaining theoretical results.

Studies Of Carbonaceous Materials Using Raman Spectroscopy, Cameron L. Smith

Honors Theses

Various carbonaceous materials including graphene, treated biochar, and C60 were studied using Raman spectroscopy with particular attention given to the treatment process and the Raman enhancement methods. Such studies that focus on the treatment process are useful in determining the extent to which the species was affected via shifts in the Raman peaks. Previous collaborations have proven successful when multiple samples were studied and analyzed. The attempt to create a novel Raman enhancement technique via combination of two previously recorded techniques was ultimately unsuccessful but further work is necessary.

Classifying #Metoo Hash-Tagged Tweets By Semantics To Understand The Extent Of Sexual Harassment, Claire Hubacek

Honors Theses

This thesis contains a program that will process tweets from Twitter that use the hashtag "#MeToo" and categorize them by their relevance to the movement, their stance on the movement, and the type of sexual harassment expressed (if applicable). Being able to work with a narrowed set of tweets belonging to a specific category creates the capacity to do more in-depth research and analysis, exploring Twitter as a special platform for discussing these sensitive topics and showing that this online space for expressing personal experiences has delivered unprecedented potential avenues of study. This thesis also contains research into additional solutions …

An Analysis Of Commercial Oxidative Hair Dyes Using Raman Spectroscopy, Allyson Henke

Honors Theses

Here, we aim to further the potential use of surface-enhanced Raman spectroscopy (SERS) in analyzing hair dyes for use in forensic investigations. Current methods include light microscopy and thin-layer chromatography (TLC). However, these techniques can be destructive to the hair samples, do not have high discriminatory power, and have had problems with giving inconclusive results. Raman spectroscopy, on the other hand, is a fast, simple technique with a high discriminatory power. Previous work has shown that SERS can be used for in-situ analyses that is not destructive to the sample. This previous work also demonstrated that SERS could definitively differentiate …

Raman Spectroscopic And Computational Study Of Hydrogen Bond Interactions Between Guanidine Hydrochloride, Trimethylamine N-Oxide (Tmao), Urea, And Water, Andrew Kamischke

Honors Theses

Proteins are broken down in the body and produce water, CO2, and ammonia as by-products. Ammonia is toxic to cells, making it a priority to be excreted. Urea is the key route for the transportation of ammonia out of the body and is the main component of urine. Guanidine is another important nitrogen-containing molecule that is structural like urea and plays important biological roles in the stabilization of proteins. Guanidine hydrochloride and Urea are known to denature proteins and this functionality continues to be a topic of great interest. Urea and guanidine contain many hydrogen bonding sites and interactions with …

Assembly Of A Protein-Based Hydrogel As A Vehicle For In Situ Drug Delivery, Austin Carroll

Honors Theses

The goal of this work is to develop a self-assembling, protein-based gel to deliver drugs at the site of chronic inflammation. There are two engineered protomers that comprise the gel; calmodulin- and M13- are their critical components. Numerous enzymes have been shown to undergo calcium-dependent regulation by calmodulin, an intracellular protein highly resilient to its chemical environment. One of these enzymes, myosin light chain kinase, contains a remarkable 26 residue portion known as the M13 peptide that has been demonstrated to bind to calmodulin in the presence of calcium through hydrophobic interactions. Because the extracellular space in vivo constitutes an …

Development Of A Gel Assay For Analysis Of Bovine Milk Casein, Masa Miscevic

Honors Theses

The main purpose of this research was to develop a gel assay for analysis of casein samples for ultimate application for studies of in vitro models for stomach and intestinal processing of dairy products in adults and infants. It is proposed that casein completely dissolves and is digestible in simulated gastric, and is somewhat soluble and digestible in simulated intestinal environments of adults and infants. The following experimental methods were devised to thoroughly examine behavior and properties of casein originating from different sources in range of solvents and varying pH values. First, casein was enriched in comparison to soluble materials …

Purification Protocol Development And Analysis Of Binding Properties Of Calmodulin Collagen-Like Protein, Patrick P. Boddie

Honors Theses

Calmodulin is an intensely studied, intracellular, calcium-binding protein that is involved in diverse physiological processes. When bound to calcium, calmodulin undergoes a conformational change that allows it to bind specific target peptides with high affinity, one being the calmodulin binding region of myosin light chain kinase, herein called M13. This high affinity, calcium dependent association has made it a desirable choice for use in a biomaterial for drug delivery for non-steroidal anti- inflammatory drugs (NSAIDs). Two artificial genes have been designed by our lab for use in the proposed biomaterial: calmodulin collagen-like protein (CCLP), a construct composed of two calmodulin …

Post-Translational Modification Of Hypoxia-Inducible Factor Proteins By O-Linked -N-Acetylglucosamine In Breast Cancer Cells, Sean Williamson

Honors Theses

One of the hallmarks of cancer is its ability to adapt its metabolism to survive and thrive despite needing to overcome significant energy barriers and low oxygen settings in order to do so. The hypoxia-inducible factor proteins (HIFs) play important roles in the processes in which cancer fulfills these requirements. The O-linked -N-acetylglucoseamine (O-GlcNAc) can be attached to cellular proteins through O-glycosylation, and is thus considered a potential target for anticancer mechanisms. HIFs are composed of (HIF-1 and HIF-2, respectively) and subunits. This research found that O-GlcNAc is able to attach to and modify the HIF proteins. This was accomplished …

Studying The Effects Of Hydrogen Bonding In 1h-1,2,3-Triazole And Its Derivatives, Leah Alexandra Wallace

Honors Theses

1,2,3-triazole is used as a building block in many pharmaceutical drugs. The molecule has several derivatives that are useful in other areas including treating fungal infections and in dealing with some environmental issues. One of its derivatives, benzotriazole, is commonly used as an inhibitor of corrosion through the formation of a copper-benzotriazole complex. One area of particular interest in studying triazoles is the ability of these molecules to tautomerize. The hydrogen atom can move from the 1H position to the 2H position and this transfer is thought to be affected by solvent interactions. Here, we study the effects of hydrogen …

Clustered Networks Protect Cooperation Against Catastrophic Collapse, Gwen Spencer

Mathematics Sciences: Faculty Publications

Assuming a society of conditional cooperators (or moody conditional cooperators), this computational study proposes a new perspective on the structural advantage of social network clustering. Previous work focused on how clustered structure might encourage initial outbreaks of cooperation or defend against invasion by a few defectors. Instead, we explore the ability of a societal structure to retain cooperative norms in the face of widespread disturbances. Such disturbances may abstractly describe hardships like famine and economic recession, or the random spatial placement of a substantial numbers of pure defectors (or round-1 defectors) among a spatially-structured population of players in a laboratory …

The Fivethirtyeight R Package: ‘Tame Data’ Principles For Introductory Statistics And Data Science Courses, Albert Y. Kim, Chester Ismay, Jennifer Chunn

Mathematics Sciences: Faculty Publications

As statistics and data science instructors, we often seek to use data in our courses that are rich, real, realistic, and relevant. To this end we created the fivethirtyeight R package of data and code behind the stories and interactives at the data journalism website FiveThirtyEight.com. After a discussion on the conflicting pedagogical goals of "minimizing prerequisites to research" (Cobb 2015) while at the same time presenting students with a realistic view of data as it exists "in the wild," we articulate how a desired balance between these two goals informed the design of the package. The details behind this …

How Often Does The Best Team Win? A Unified Approach To Understanding Randomness In North American Sport, Michael J. Lopez, Gregory J. Matthews, Benjamin Baumer

Mathematics Sciences: Faculty Publications

Statistical applications in sports have long centered on how to best separate signal (e.g. team talent) from random noise. However, most of this work has concentrated on a single sport, and the development of meaningful cross-sport comparisons has been impeded by the difficulty of translating luck from one sport to another. In this manuscript, we develop Bayesian state-space models using betting market data that can be uniformly applied across sporting organizations to better understand the role of randomness in game outcomes. These models can be used to extract estimates of team strength, the between-season, within-season, and game-to-game variability of team …

The Dihedral Genus Of A Knot, Patricia Cahn, Alexandra Kjuchukova

Mathematics Sciences: Faculty Publications

Let K ⊂ S³ be a Fox p-colored knot and assume K bounds a locally flat surface S ⊂ B⁴ over which the given p-coloring extends. This coloring of S induces a dihedral branched cover X → S⁴ . Its branching set is a closed surface embedded in S⁴ locally flatly away from one singularity whose link is K. When S is homotopy ribbon and X a definite four-manifold, a condition relating the signature of X and the Murasugi signature of K guarantees that S in fact realizes the four-genus of K. We exhibit an infinite …

Action Of The Symmetric Group On The Free Lanke: A Catalanke Theorem, Tamar Friedmann, Philip Hanlon, Richard P. Stanley, Michelle L. Wachs

Mathematics Sciences: Faculty Publications

We initiate a study of the representation of the symmetric group on the multilinear component of an n-ary generalization of the free Lie algebra, which we call a free LAnKe. Our central result is that the representation of the symmetric group S_2n−1 on the multilinear component of the free LAnKe with S_2n−1 generators is given by an irreducible representation whose dimension is the nth Catalan number. This leads to a more general result on eigenspaces of a certain linear operator. A decomposition, into irreducibles, of the representation of S_3n−2 on the multilinear component the free LAnKe …

Strong Comparison Principle For P-Harmonic Functions In Carnot-Caratheodory Spaces, Luca Capogna, Xiaodan Zhou

Mathematics Sciences: Faculty Publications

We extend Bony’s propagation of support argument to C1 solutions of the nonhomogeneous subelliptic p-Laplacian associated to a system of smooth vector fields satisfying Hörmander’s finite rank condition. As a consequence we prove a strong maximum principle and strong comparison principle that generalize results of Tolksdorf.

Enabling Quantification Of Protein Concentration In Human Serum Biopsies Using Attenuated Total Reflectance – Fourier Transform Infrared (Atr-Ftir) Spectroscopy, Kate Spalding, Franck Bonnier, Clément Bruno, Hélène Blasco, Ruth E. Board, Isabelle Benz-De-Bretagne, Hugh Byrne, Holly J. Butler, Igor Chourpa, Pretheepan Radhakrishnan, Matthew J. Baker

Articles

Changes in protein concentrations within human blood are used as an indicator for nutritional state, hydration and underlying illnesses. They are often measured at regular clinical appointments and the current analytical process can result in long waiting times for results and the need for return patient visits. Attenuated total reflectance – Fourier transform infrared (ATR-FTIR) spectroscopy has the ability to detect minor molecular differences, qualitatively and quantitatively, in biofluid samples, without extensive sample preparation. ATR-FTIR can return an analytical measurement almost instantaneously and therefore could be deemed as an ideal technique for monitoring molecular alterations in blood within the clinic. …

Inverse Function: Pre-Service Teachers’ Techniques And Meanings, Teo Paoletti, Irma E. Stevens, Natalie L.F. Hobson, Kevin C. Moore, Kevin R. Laforest

Department of Mathematics Faculty Scholarship and Creative Works

Researchers have argued teachers and students are not developing connected meanings for function inverse, thus calling for a closer examination of teachers’ and students’ inverse function meanings. Responding to this call, we characterize 25 pre-service teachers’ inverse function meanings as inferred from our analysis of clinical interviews. After summarizing relevant research, we describe the methodology and theoretical framework we used to interpret the pre-service teachers’ activities. We then present data highlighting the techniques the pre-service teachers used when responding to tasks that involved analytical and graphical representations of functions and inverse functions in both decontextualized and contextualized situations and discuss …

A Covariational Understanding Of Function: Putting A Horse Before The Cart, Teo Paoletti, Kevin C. Moore

Department of Mathematics Faculty Scholarship and Creative Works

Supporting students developing understandings of function has been a notoriously elusive task in mathematics education. We present Thompson and Carlson’s (2017) description of a covariational meaning of function and provide an example of a student who maintains meanings compatible with this description. We use this student’s activity to illustrate nuances in a covariational meaning of function and to highlight how such meanings can be powerful for students. In doing so, we argue that a student who has develop meanings compatible with the covariational meaning of function presented by Thompson and Carlson has the foundational meanings needed to understand a formal …

Interlace Polynomials Of Friendship Graphs, Christina Eubanks-Turner, Aihua Li

Department of Mathematics Faculty Scholarship and Creative Works

In this paper, we study the interlace polynomials of friendship graphs, that is, graphs that satisfy the Friendship Theorem given by Erdös, Rényi and Sos. Explicit formulas, special values, and behaviour of coefficients of these polynomials are provided. We also give the interlace polynomials of other similar graphs, such as, the butterfly graph.

Tissue Mimicking Materials For Multi-Modality Breast Phantoms, G. Fiaschetti, Jacinta Browne, M. Cavagnaro, L. Farina, G. Ruvio

Conference Papers

The paper proposes two different Tissue Mimicking Material (TMM) techniques for the development of breast phantoms which are suitable for multi-modality imaging. In particular, the focus is on the behavior of dielectric and acoustic properties when fat, sodium chloride and sugar are added to the mixtures.

U.S. Geological Survey (Usgs) Topographic Map Collection, Kentucky Library Research Collections

Research Collections

This is a listing of the Topo maps housed in the KLRC; 7.5, 15 and 30 minute Kentucky and Boundary State Maps. These maps are helpful in genealogy to show how the landscape may have changed and they may have the locations of lost towns and cemeteries and indicate houses, barns, and other structures and how place names, roads, and streams changed over time.

Estimating The Optimal Cutoff Point For Logistic Regression, Zheng Zhang

Open Access Theses & Dissertations

Binary classification is one of the main themes of supervised learning. This research is concerned about determining the optimal cutoff point for the continuous-scaled outcomes (e.g., predicted probabilities) resulting from a classifier such as logistic regression. We make note of the fact that the cutoff point obtained from various methods is a statistic, which can be unstable with substantial variation. Nevertheless, due partly to complexity involved in estimating the cutpoint, there has been no formal study on the variance or standard error of the estimated cutoff point.

In this Thesis, a bootstrap aggregation method is put forward to estimate the …

Geophysical Investigations Of Southcentral Alaska, Felix Dziedzorm Ziwu

Open Access Theses & Dissertations

The Castle Mountain Fault (CMF) is the closest (<50 km) active fault to Anchorage, Alaska and is known to be capable of producing earthquakes of magnitude 7.0 â?? 7.1. While several mapping and trenching studies have been conducted along the CMF, geophysical investigations along the fault zone have been limited. We use over 700 recently collected, closely spaced gravity observations, in addition to existing regional gravity, aeromagnetic, seismic reflection, well log data, and geologic information, to develop new 2D models of the deeper structure of the CMF system. We developed four 2D integrated forward models across the Castle Mountain Fault. These models indicate differences between the western and eastern segments of the Castle Mountain Fault. The models show a thick sequence of Tertiary to Mesozoic sediments overlying the Peninsular terrane basement at varying depths within the area. We identified two main intrusive granitic rocks based on the varying susceptibilities. These granitic rocks share a possible fault contact with the Mesozoic sedimentary rocks. The model also shows that the CMF cuts through the Mesozoic sediments at depth. These rocks can create strong coupling along the fault and with the decreasing eastward angle of subduction, it is highly for fluid migration to the eastern edge of the subducting Yakutat microplate. Seismic events plotted along the profiles supports the Holocene motion along the western CMF (WCMF) and indicates a deeper extent of the CMF into the crust. The eastern CMF shows high rate of deformation based on the structures associated with the Mesozoic rocks.

Estimating Exploitation Rates In The Alabama Red Snapper Fishery Using A High-Reward Tag–Recapture Approach, Dana K. Sackett, Mattgew Catalano, J. Marcus Drymon, Sean P. Powers, Mark Albins

University Faculty and Staff Publications

Accurate estimates of exploitation are essential to managing an exploited fishery. However, these estimates are often dependent on the area and vulnerable sizes of fish considered in a study. High-reward tagging studies offer a simple and direct approach to estimating exploitation rates at these various scales and in examining how model parameters impact exploitation rate estimates. These methods can ultimately provide a better understanding of the spatial dynamics of exploitation at smaller local and regional scales within a fishery—a measure often needed for more site-attached species, such as the Red Snapper Lutjanus campechanus. We used this approach to tag 724 …