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Math Department Newsletter 2023-2024, Mathematics Department

News, Magazines and Reports

WELCOME to our annual Mathematics Department Newsletter. We had an exciting year with many activities and accomplishments. Our students have received awards, attended conferences, conducted research, and have really contributed to the life of the department. Our faculty have had many accomplishments in teaching and scholarship. We conducted several events such as First 50 Days, Alumni Night, hosted a guest speaker for the university community, had our Pi Mu Epsilon induction and awards ceremony, and much more. We have heard from several alumni and are happy to report what they are doing.

Upa-Mediated Polyamidoamine Dendrimer-Based Targeted Gene Delivery System On Triple-Negative Breast Cancer, Hsin-Yin Chuang

Masters Theses

"Around 15% of breast cancers are triple-negative breast cancer (TNBC), which is characterized by the absence of three common receptors—ER, PR, and HER2, and therefore do not respond to hormonal or anti-HER2 therapies. It is urgent to explore targeted therapeutic strategies for TNBC due to its poor prognosis and rare effective targeted therapy. In this study, we developed a polyamidoamine (PAMAM) dendrimer-based targeted gene delivery system—GDP-uPA, to utilize urokinase-type plasminogen activator (uPA) to target uPA receptor (uPAR), which is highly expressed in both TNBC cells and cancer-associated stromal cells. Our results of 1H NMR spectrum, TEM imaging, and MTT assay …

Hysplit In Simulating The Atmospheric Dispersion Of Hazardous Aerosols: A Case Study In St. Louis, Missouri, Ahmet Tolga Odabasi

Masters Theses

"Atmospheric dispersion and transmission play an important role in the behavior and effects of air pollution. Human health can be adversely affected by air pollution in a variety of ways, both immediately and over time. The Hybrid Single Particle Lagrangian Integrated Trajectory Model (HYSPLIT) modeling program, a computer model and software package, tracks the transport trajectories and distributions of air pollution and various pollutants, including radioactive pollutants, in the atmosphere. It also facilitates research on pollution sources. This study simulated the transport of hazardous aerosols in St. Louis region for the years 2020, 2021, and 2022 using the HYSPLIT modeling …

Branching Fractional Brownian Motion, Reece Beattie-Hauser

Masters Theses

"Fractional Brownian Motion (FBM) is a Gaussian process whose increments are correlated over long times. FBM is an example of anomalous diffusion, and recently it has been used to model the distribution of serotonergic fibers in the brain [1, 2]. To better represent these fibers, branching FBM (bFBM), where FBM trajectories may randomly split into two, is introduced. One-dimensional bFBM is studied in both sub diffusive and super diffusive regimes, examining three potential behaviors of the correlations (memory) in a branching event: both trajectories retain the memory of previous steps, only one keeps the memory, and neither keeps the memory. …

Metal-Ion Doped Borate Bioactive Glasses- A Novel Direction In Minimizing Nosocomial Infections And Antibiotic Resistance, Sarah Fakher

Masters Theses

"Nosocomial infections represent a formidable challenge and induce a substantial burden on patients and healthcare systems. These infections result from the interaction of numerous pathogenic microorganisms, particularly bacteria, and lead to increased morbidity, mortality, and healthcare costs. Extensive research has been carried out to devise innovative solutions, mainly focusing on antimicrobial natural and synthetic substances. However, the proclivity of bacterial strains to form biofilms complicates treatment and elevates antibiotic resistance, prompting research into pioneering more effective and versatile antibacterial strategies. Borate bioactive glasses (BBGs) are the latest, remarkable classes of biomaterials with a wide array of medical applications, owing to …

Protein Turnover Rate And Life History As An Explanation Of The Extreme Difference In Cost Of Biosynthesis In Cockroach Nymphs And Painted Lady Butterfly Larva, Kyara Nicole Holloway

Masters Theses

The cost of biosynthesis in painted lady caterpillars is far lower than that of a red runner cockroach. A promising explanation for this phenomenon is the protein turnover rate for the animal during biosynthesis and tissue maintenance. Previous research has shown that, per gram of body weight, the painted lady butterfly can synthesize a biomass using up to 15x less energy and resources than the cockroach, even under similar conditions. The resulting ratios, especially in respect to growth rate, show a wide disparity between species in such a manner that does support a protein synthesis and degradation rates as a …

Anti-Patents, Roy Baharad, Stuart Minor Benjamin, Ehud Guttel

University of Chicago Law Review

Conventional wisdom has long perceived the patent and tort systems as separate legal entities, each tasked with a starkly different mission. Patent law rewards novel ideas; tort law deters harmful conduct. Against this backdrop, this Essay uncovers the opposing effects of patent and tort law on innovation, introducing the “injurer-innovator problem.” Patent law incentivizes injurers—often uniquely positioned to make technological breakthroughs—by allowing them to profit from licensing their inventions to competitors. Yet tort law, by imposing liability for failures to invest in care, forces injurers to incur the cost of implementing their own inventions. When the cost of self-implementation exceeds …

Analysis To Evaluate Novel Separable Dental Implant Stability: An Experimental Study In Rabbits, Jeong Joon Han, Ik-Jae Kwon, Joo-Hee Jeong, Sung-Ho Lee, Kangmi Pang, Soung Min Kim, Man-Yong Kim, Bongju Kim, Jong-Ho Lee

Journal of Dental Sciences

Abstract Background/purpose Peri-implantitis is a representative etiology that affects the long-term survival of dental implants. It is known that decontamination of the implant surface is essential for the successful outcome of regenerative therapy for peri-implantitis. In the present study, the stability of a novel separable dental implant (SDI) was evaluated and compared with a conventional non-separable dental implant (NDI) using biomechanical and histomorphometric analyses. Materials and methods In this animal study, 40 rabbits were implanted with two SDI fixtures in the left tibia and two NDI fixtures in the right tibia. The rabbits were sacrificed 3 and 6 weeks after …

How To Believe In Immortality, Carol Zaleski

Religion: Faculty Publications

All the cards seem to be stacked against belief in immortality. Nonetheless, the resources of particular religious traditions may avail where generic philosophical solutions fall short. With attention to the boredom and narcissism critiques, intimations of deathlessness in Śāntideva’s radical altruism, and recent Christian debates on the soul and the intermediate state, I propose two criteria for a coherent religion-specific belief in immortality: (1) the belief is supported by a fully realized religious tradition, (2) the belief satisfies the demand for self-transcendence as well as for self-preservation. Where self-transcendence and self-preservation are kept in balance, and where the whole idea …

Operationalising Progressive Ideas About Property: Resilient Property, Scale, And Systemic Compromise, Marc L. Roark, Lorna Fox O'Mahony

Articles, Chapters in Books and Other Contributions to Scholarly Works

Property theory is at a crossroads. In recent decades, scholars seeking to advance progressive ideas about property have embraced ‘Progressive Property’ theories that seek to advance the goals of social justice and the common good, offering a vital counter-weight to utilitarian and neo-conservative accounts of property. Progressive Property theories seek to correct an imbalance in American property discourse which—across the temporal scale—has sustained a range of narratives and normative commitments, but which has veered towards extreme acquisitive individualism and the rhetoric of property absolutism since the 1970s. The idea that individual property rights are not absolute but defined by the …

Mitigation Of Inflammation In Early Post-Traumatic Osteoarthritis Through Low-Intensity Ultrasound, Shahid Khan

Dissertations

Post-traumatic osteoarthritis (PTOA), a subset of OA caused by direct injury or repetitive microtrauma, results in a robust release of inflammatory mediators. If inadequately controlled, this pro-inflammatory phase leads to early tissue damage. The biomedical burden of PTOA is significant and inadequately addressed due to difficulties in identifying the disease onset, slow progression, and incomplete understanding of its etiology and pathogenesis. However, PTOA's distinct initiating events allow for early intervention. This thesis investigates whether fibronectin fragments (FnFs) can induce an early inflammatory response in a triple cellular in vitro model of early PTOA and whether continuous low-intensity ultrasound (cLIUS) can …

Embracing Ai In English Composition: Insights And Innovations In Hybrid Pedagogical Practices, James Hutson, Daniel Plate, Kadence Berry

Faculty Scholarship

In the rapidly evolving landscape of English composition education, the integration of AI writing tools like ChatGPT and Claude 2.0 has marked a significant shift in pedagogical practices. A mixed-method study conducted in Fall 2023 across three sections, including one English Composition I and two English Composition II courses, provides insightful revelations. The study, comprising 28 student respondents, delved into the impact of AI tools through surveys, analysis of writing artifacts, and a best practices guide developed by an honors student. Initially, the study observed a notable anxiety and mistrust among students regarding the use of AI in writing. However, …

303 Creative Llc, Public Accomodations Law, And The Many Possible Futures Of Rights, Jacob Eisler

Scholarly Publications

No abstract provided.

Market Versus Policy Responses To Novel Occupational Risks, Robert J. Kramer, Elissa Philip Gentry, W Kip Viscusi

Scholarly Publications

The unprecedented occupational risks posed by the COVID-19 pandemic prompted employers to boost wages and federal authorities to propose hazard pay policies. This article estimates a market-based compensating differential for workers facing elevated risks through contact with the public using CPS employment data for 2019–2020 and occupational characteristic data from the US Department of Labor’s Occupational Information Network. The estimated premium for exposure was roughly $820 overall and $1000 for essential workers. These premiums fall short of those proposed—but not enacted—by the federal government and are more commensurate with estimates of the value of a statistical life than were the …

Sars-Cov-2 Infectivity, And Interaction With Ace2 In The Human Oral Cavity: A Comprehensive Study, Blake Joseph Henkel

Undergraduate Honors Theses

The oral cavity has the ability to transport infections throughout the body and be infected by bacteria, fungi, protozoa, and viruses, including severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), which is the virus that led to the most recent pandemic. SARS-CoV-2 has unique ways of interacting with the human body to infect individuals, which has led researchers and scientists to have limited knowledge on its long-term impact on human health. However, there are ways to identify various oral cavity infections and prevent infection now and in the future. Many studies have been conducted in an attempt to understand the body’s …

Control Of Hippocampal Synaptic Plasticity By Microglia-Dendrite Interactions Depends On Genetic Context In Mouse Models Of Alzheimer's Disease., Sarah E Heuer, Kelly J Keezer, Amanda A Hewes, Kristen D. Onos, Kourtney Graham, Gareth R Howell, Erik B Bloss

Faculty Research 2024

INTRODUCTION: Human data suggest susceptibility and resilience to features of Alzheimer's disease (AD) such as microglia activation and synaptic dysfunction are under genetic control. However, causal relationships between these processes, and how genomic diversity modulates them remain systemically underexplored in mouse models.

METHODS: AD-vulnerable hippocampal neurons were virally labeled in inbred (C57BL/6J) and wild-derived (PWK/PhJ) APP/PS1 and wild-type mice, and brain microglia depleted from 4 to 8 months of age. Dendrites were assessed for synapse plasticity changes by evaluating spine densities and morphologies.

RESULTS: In C57BL/6J, microglia depletion blocked amyloid-induced synaptic density and morphology changes. At a finer scale, synaptic …

Dominant Nars1 Mutations Causing Axonal Charcot-Marie-Tooth Disease Expand Nars1-Associated Diseases, Danique Beijer, Sheila Marte, Jiaxin C Li, Willem De Ridder, Jessie Z Chen, Abby Tadenev, Kathy E Miers, Tine Deconinck, Richard Macdonell, Wilson Marques, Peter De Jonghe, Samia L Pratt, Rebecca Meyer-Schuman, Stephan Züchner, Anthony Antonellis, Robert W. Burgess, Jonathan Baets

Faculty Research 2024

Pathogenic variants in six aminoacyl-tRNA synthetase (ARS) genes are implicated in neurological disorders, most notably inherited per- ipheral neuropathies. ARSs are enzymes that charge tRNA molecules with cognate amino acids. Pathogenic variants in asparaginyl- tRNA synthetase (NARS1) cause a neurological phenotype combining developmental delay, ataxia and demyelinating peripheral neur- opathy. NARS1 has not yet been linked to axonal Charcot–Marie–Tooth disease. Exome sequencing of patients with inherited periph- eral neuropathies revealed three previously unreported heterozygous NARS1 variants in three families. Clinical and electrophysiological details were assessed. We further characterized all three variants in a yeast complementation model and used a knock-in …

Genetic And Multi-Omic Risk Assessment Of Alzheimer's Disease Implicates Core Associated Biological Domains., Gregory Cary, Jesse C Wiley, Jake Gockley, Stephen Keegan, Sai Sruthi Amirtha Ganesh, Laura Heath, Robert R Butler, Lara M Mangravite, Benjamin A Logsdon, Frank M Longo, Allan Levey, Anna K Greenwood, Gregory W. Carter

Faculty Research 2024

INTRODUCTION: Alzheimer's disease (AD) is the predominant dementia globally, with heterogeneous presentation and penetrance of clinical symptoms, variable presence of mixed pathologies, potential disease subtypes, and numerous associated endophenotypes. Beyond the difficulty of designing treatments that address the core pathological characteristics of the disease, therapeutic development is challenged by the uncertainty of which endophenotypic areas and specific targets implicated by those endophenotypes to prioritize for further translational research. However, publicly funded consortia driving large-scale open science efforts have produced multiple omic analyses that address both disease risk relevance and biological process involvement of genes across the genome.

METHODS: Here we …

Pediatric Tumors As Disorders Of Development: The Case For In Vitro Modeling Based On Human Stem Cells., Cullen D Clairmont, Joanna J Gell, Ching C Lau

Faculty Research 2024

Despite improvements in patient outcomes, pediatric cancer remains a leading cause of non-accidental death in children. Recent genetic analysis of patients with pediatric cancers indicates an important role for both germline genetic predisposition and cancer-specific somatic driver mutations. Increasingly, evidence demonstrates that the developmental timepoint at which the cancer cell-of-origin transforms is critical to tumor identity and therapeutic response. Therefore, future therapeutic development would be bolstered by the use of disease models that faithfully recapitulate the genetic context, cell-of-origin, and developmental window of vulnerability in pediatric cancers. Human stem cells have the potential to incorporate all of these characteristics into …

A Review Of Dielectric Barrier Discharge Cold Atmospheric Plasma For Surface Sterilization And Decontamination, Kolawole Adesina, Ta Chun Lin, Yue-Wern Huang, Marek Locmelis, Daoru Frank Han

Biological Sciences Faculty Research & Creative Works

Numerous investigations have shown that non-equilibrium discharges at atmospheric pressure, also known as "cold atmospheric plasma" (CAP) are efficient to remove biological contaminants from surfaces of a variety of materials. Recently, CAP has quickly advanced as a technique for microbial cleaning, wound healing, and cancer therapy due to the chemical and biologically active radicals it produces, known collectively as reactive oxygen and nitrogen species (RONS). This article reviews studies pertaining to one of the atmospheric plasma sources known as Dielectric Barrier Discharge (DBD) which has been widely used to treat materials with microbes for sterilization, disinfection, and decontamination purposes. To …

Evaluating Superfund Effectiveness And Community Engagement: Smurfit-Stone Mill Case Study, Abigail M. Sherwood

Undergraduate Theses, Professional Papers, and Capstone Artifacts

The Smurfit-Stone Mill operated in Frenchtown, MT from 1957 until 2010, releasing toxic pollutants into the Clark Fork River and surrounding areas. Despite environmental protests since the 1960s, substantive action to remedy environmental damage did not occur until 2015. Stakeholders including local residents, Indigenous tribes, Missoula County, and environmental non-profits have advocated for comprehensive site characterization, a timely cleanup, and robust community engagement. While residents and visitors contend with elevated toxins in fish tissue, prompting a 100-mile fish consumption advisory near the Smurfit-Stone Mill, the Environmental Protection Agency is several years away from determining the scope of a reclamation. Community …

How Qualified Immunity And Frozen Precedent Leaves Plaintiffs In The Cold, Sarah Rowe

California Western Law Review

No abstract provided.

Duties Owed To The Public, Nicolas Cornell

Book Chapters

How does private law conceptualize duties owed to the public-at-large? Are they owed to individual members of the public? This question is interstitial in two ways—it concerns both the space between public law and private law and the spaces between different fields of private law. Different areas of private law handle it in contradictory ways. Duties of public officials are regarded as owed to individual citizens for the purposes of contract law’s preexisting duty rule but as not owed to individuals as a matter of tort law’s public duty rule. Violations of public property might be enforceable through public nuisance, …

Essay Questions, Trenton Hickman

Inscape

1) Consider in one thousand words or less the way that life on the frontier changed the way you scan the horizon on breezeless mornings, how it has made you sure that sharp riders will someday angle across the hills like shadows, arc over the back fences with the grace of deer, root you to the ground with the dark headlights of their eyes.

The Many Names Of Limahong: Remembering A Chinese Pirate In The Philippines, William Martindale

BYU Asian Studies Student Journal

The 1574 attack of Limahong on Manila and the subsequent expulsion of his attempted Pangasinan colony left a profound impact in Philippine history. The threat once presented by Limahong cast a long shadow over Spanish colonization and Philippines security, particularly regarding relations with China and Chinese. As a result, his name was continually evoked in the centuries after his attack. This paper examines how Limahong is remembered in the Philippines. Limahong is remembered as a generic sea-borne threat, a pirate whose name is evoked at any threat from the sea or from China. But, he is also remembered as a …

Examining Strategies Embraced By Educational Leaders Towards The Integration Of Digital Technology In Teaching And Learning Process., Godfrey Joseph Shirima

Master of Education

This study examine strategies embraced by educational leaders towards the integration of digital technology in teaching and learning in Hai district, Tanzania. It emphasizes the urgent need for educational leaders to devise and embrace strategies for the integration of digital technology in modern education, grounding itself in the theoretical frameworks of Technological Pedagogical Content Knowledge (TPACK) and transformational theory. The integration of digital technology in secondary education can be greatly enhanced by using the frameworks of transformation theory and TPACK (Technological Pedagogical Content Knowledge). TPACK emphasizes the junction of technical, pedagogical, and content knowledge to guide instructional tactics. On the …

Exploring The Contribution Of Public Pre-Primary School In Promoting Play-Based Learning Environment: Case Of Two Schools In Nachingwea District., Alam Jacob Nsana

Master of Education

Play and children's learning are inherently intertwined, with play serving as children's natural way of engaging with and understanding the world around them. This study underscores the essential role of play in facilitating children's social, cognitive, and emotional development, emphasizing its significance as a foundational aspect of early childhood education. Educationists, parents, and administrators recognize the power of play in allowing children to explore and learn autonomously, providing them with equal opportunities for engagement in learning activities.

However, the study acknowledges the challenge of determining the most effective ways and timing for utilizing play to facilitate learning. It aimed to …

Digital Technology Integration For Enhancing Physics Teachers’ Pedagogy In A Selected Secondary School, In Terego District, Uganda., Adrabo Atiku Robert

Master of Education

This dissertation aimed at investigating the transformative impact of digital technology integration on the pedagogical practices of physics teachers in a secondary school context within Terego District, Uganda. A mixed-methods research approach, combining participatory action research methods and quantitative techniques was used. The main research question was: How can the integration of digital technology enhance physics teachers' pedagogy in a secondary school within Terego District, Uganda?

Research tools employed in this study included interviews, lesson observations, document analysis, and intervention workshops. Additionally, pre and post-tests were utilized to quantitatively measure the impact of digital technology integration on student learning outcomes, …

Exploring The Contribution Of Storytelling In Preparing Children For Pre-Primary Education: A Study Of Selected Families In Tanzania., Willy Japhet Mhagama

Master of Education

The power of storytelling transcends its traditional role in preserving cultural heritage. This research uncovers the profound impact storytelling has on nurturing young minds. Through focused exploration, it becomes evident that storytelling equips children with essential skills for educational adventures.

Various engaging genres introduce children to diverse perspectives and values, igniting their imagination. Traditional folktales establish connections to cultural traditions, while imaginative myths foster creativity. However, storytelling goes beyond entertainment; it brings learning to life. Immersed in narratives, children's language skills flourish, expanding their vocabulary, and their critical thinking abilities sharpen. Additionally, assuming roles from listener to storyteller empowers self-expression …

Unveiling Gender In Competency-Based Formative Assessment: A Focus On Homework Assignments As A Tool Of Assessment For Learning In A Public Junior Secondary School In Taita-Taveta County, Kenya, John Habwe

Master of Education

This qualitative case study explored how gender influences competency-based formative assessment, specifically focusing on the use of homework assignments. The research was conducted at a public junior secondary school in Kenya using interviews, a focus group discussion, document analysis, and observations. 20 students, 4 teachers, and 4 parents obtained through purposive sampling technique participated in data collection. Data that was obtained from the interviews and FGD audiotaped files were transcribed in the field concurrently with data collection, hence continuous and timely analysis allowed the researcher to carefully do a word-for-word transcription of the audiotaped data after which transcripts were critically …