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Graduate Theses and Dissertations

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Conservation Agriculture Practice Effects On Greenhouse Gas Emissions From Fine-Textured Soils In Arkansas, Lauren Gwaltney May 2025

Conservation Agriculture Practice Effects On Greenhouse Gas Emissions From Fine-Textured Soils In Arkansas, Lauren Gwaltney

Graduate Theses and Dissertations

Biochar application and reduced tillage (RT) are both practices within the conservation agriculture framework, but specific impacts of these practices on direct greenhouse gas (GHG) emissions still require investigation in varied agricultural systems. This research aimed to evaluate the effects of biochar source (i.e., powder- and pellet-sized) and application rate (i.e., 0, 2.5, and 5 Mg ha-1) on GHG production in simulated furrow-irrigated rice (Oryza sativa) in a greenhouse experiment, and to evaluate the effects of RT relative to conventional tillage (CT) on GHG production in soybean (Glycine max) in southeast Arkansas. Both studies …


Shaping Minds, Shaping Future: Analyzing K-12 Climate Change Education Policy Preferences In Arkansas, Nataliia Borozdina May 2025

Shaping Minds, Shaping Future: Analyzing K-12 Climate Change Education Policy Preferences In Arkansas, Nataliia Borozdina

Graduate Theses and Dissertations

Climate change education in K-12 public schools is a highly debated and divisive policy issue, particularly in politically conservative states such as Arkansas, where ideological divisions often dominate and shape public attitudes and policy preferences. This dissertation examines the attitudes, preferences, and behavioral intentions of three key stakeholder groups, namely the policy elites, general public, and educators toward climate change education policies in K-12 public schools in the state of Arkansas. While political party affiliation is an important factor, this study explores a more nuanced relationship by considering the interplay of Cultural Theory, risk perception, trust in government, climate change …


Principal And Teacher Perceptions Of Corrective And Developmental Feedback For Teachers, John Kimball Emett May 2025

Principal And Teacher Perceptions Of Corrective And Developmental Feedback For Teachers, John Kimball Emett

Graduate Theses and Dissertations

This study explores why the current structures of systematic, comprehensive, instrument-driven, and inter-rater reliable teacher evaluation may oversimplify the multi-dimensionality of teaching and minimize practitioner voices in the field. A framework for teaching complexity is presented with descriptions of effective school culture and connectivity, educator well-being, connected relationships, reflection for continual improvement, and positive learning environments. Through a mixed method, bounded multiple case study, and descriptive survey research, I sought to understand principal and teacher perceptions along inquiry lines of feedback going well and not going well in both corrective and developmental settings. I probed reflexively with purposive sampling, five …


Gene Expression And Transfection Of C15orf57 In Chicken Show Clear Correlation To The Function Of The Ap2 Complex, E. Ashton Magdich May 2025

Gene Expression And Transfection Of C15orf57 In Chicken Show Clear Correlation To The Function Of The Ap2 Complex, E. Ashton Magdich

Graduate Theses and Dissertations

Discovering the functions of functionally unknown genes has made a huge impact on biological understanding including poultry species. In this thesis, C15orf57 (or C5H15orf57, chicken chromosome 5 human ortholog H15 open reading frame 57), was studied to understand its genetic characteristics and function. Chapter one is literature reviews on annotation of genes, the gene information on C15orf57, the importance of characterizing unknown genes in the genome, and what is known now about C15orf57. The Chapter 2 is for the structural characterization of C15orf57, gene expression of C15orf57 in various organ tissues using the qPCR method and effect of overexpression of …


Controls On Nutrient And Sediment Export In A Non-Perennial Agricultural Stream, Kathleen Cutting May 2025

Controls On Nutrient And Sediment Export In A Non-Perennial Agricultural Stream, Kathleen Cutting

Graduate Theses and Dissertations

Climate change is expected to increase flow variability and intermittency in streams, changing the magnitude and timing nutrient and sediment delivery. This may exacerbate water quality issues in agricultural landscapes, where nutrient and sediment inputs are often elevated. Elevated nutrients can drive eutrophication in downstream waterways, and excess sediment loss can decrease primary productivity. Non-perennial headwater streams are particularly vulnerable to the impacts of climate change and agriculture as they serve as key sites for nutrient cycling at the terrestrial-aquatic interface. Despite their importance, the interactive effects of agriculture and stream intermittency, as well as unpaved roads in rural watersheds …


Penny For Your Thoughts: Exploring Mechanisms Linking Socioeconomic Status And Cognition, Colton Hunter May 2025

Penny For Your Thoughts: Exploring Mechanisms Linking Socioeconomic Status And Cognition, Colton Hunter

Graduate Theses and Dissertations

Socioeconomic status is a complex psychological construct linked to a number of professional and personal barriers, including cognitive deficits. Throughout this dissertation, I seek to examine the mechanisms that link socioeconomic status and cognition. First, I explore potential mediators in the link between adolescent family income and cognition in adulthood, identifying education, stressful life events, inflammation, and family education expectations as significant mediators. Next, I examine the effects of writing-based stress manipulations on long-term memory and working memory, as these effects may mimic stress from financial worry. In doing so, I identify potential effects on working memory parameters. Finally, in …


The Future Of Fashion: A Systematic Literature Review On Consumer Willingness To Pay For Green Apparel, Emma Clark May 2025

The Future Of Fashion: A Systematic Literature Review On Consumer Willingness To Pay For Green Apparel, Emma Clark

Graduate Theses and Dissertations

In recent years, consumers have become highly aware of the environmental impact of their purchases, specifically of apparel products. Accordingly, apparel brands have increasingly focused on enhancing the sustainability of their product offerings to attract environmentally conscious consumers and elevate their brand image (Dangelico et al., 2022). Furthermore, most sustainably produced products are priced higher for consumers compared to standard alternatives (Elmanadily & El-Deeb, 2022). Research has shown that consumers can accept higher prices for products that do less harm to the environment (Gomes et al., 2023), but it has yet to be determined in which cases this is consistently …


Effects Of Cholesterol Concentration On Liposome And Proteoliposome Behavior, Ehsaneh Khodadadi May 2025

Effects Of Cholesterol Concentration On Liposome And Proteoliposome Behavior, Ehsaneh Khodadadi

Graduate Theses and Dissertations

Cholesterol is crucial in modulating the behavior and characteristics of biological membranes, liposomes, and proteoliposomes, for instance in drug delivery applications. Cholesterol regulates membrane stability by influencing lipid density, phase separation, and protein-membrane interactions. In planar bilayers, cholesterol enhances membrane thickness, reduces permeability, and promotes lipid ordering, adding rigidity and fluidity. Cholesterol also modulates membrane curvature in curved bilayers and vesicles, stabilizing low-curvature regions. In this work, all-atom molecular dynamics (MD) simulations were employed to examine how varying cholesterol concentrations influence the structure and dynamics of membranes, focusing on planar and curved geometries. Bilayers with cholesterol molar ratios of 0%, …


Atomic Level Characterization For The Transport Cycle Conformational Pathways Of Multidrug Resistance Protein 1 (Mrp1), Samuel Wamwere Mwatha May 2025

Atomic Level Characterization For The Transport Cycle Conformational Pathways Of Multidrug Resistance Protein 1 (Mrp1), Samuel Wamwere Mwatha

Graduate Theses and Dissertations

The multidrug resistance-associated protein 1 (MRP1/ABCC1) is an ATP-binding cassette (ABC) transporter that mediates the cellular efflux of endogenous and xenobiotic substrates, including therapeutic drugs. Its overexpression is a major contributor to multidrug resistance in cancer, which tends to result in negative clinical results. Even with considerable progress made in structural biology, the intricate details of how membrane lipid composition affects the conformational changes and functional switches of MRP1 still lack explanation.

This thesis employs long-timescale, all-atom molecular dynamics (MD) simulations to study the influence of various lipids on MRP1 lipid bilayer environments. Both inward-facing and outward-facing conformations of MRP1 …


Characterization Of Streptococcus Gallolyticus: An Emerging Pathogen Causing Turkey Streptococcosis, Latasha S. Gray May 2025

Characterization Of Streptococcus Gallolyticus: An Emerging Pathogen Causing Turkey Streptococcosis, Latasha S. Gray

Graduate Theses and Dissertations

During the past five years, there has been an increased occurrence of Streptococcus gallolyticus in young turkey poults. This emerging pathogen previously affected turkey flocks without any indication of disease prior to acute mortality. However, recently there has been two cases of neurological presentation associated with S. gallolyticus subsp. pasteurianus that are unique to traditional disease presentation in turkey poults. The objectives of the present dissertation were to compile data associated with the two neurological cases and compare different S. gallolyticus strains as well as pathogenic Enterococcus cecorum to the neurological strains. The two neurological cases occurred between July and …


Impact Of Smartphone Usage On The Performance And Satisfaction Of Hospitality Employees, Karalee Anne Taves May 2025

Impact Of Smartphone Usage On The Performance And Satisfaction Of Hospitality Employees, Karalee Anne Taves

Graduate Theses and Dissertations

This study examined the impact of smartphone usage on the job outcomes (job satisfaction and performance) of employees, specifically focused on the hospitality industry, where employees’ income and performance heavily rely on emotional labor. The research was aimed to distinguish between negative smartphone activities (e.g., doomscrolling, social comparison) and positive activities (e.g., listening to calming music, engaging in stimulating games) to determine how these behaviors affect employees. Using the Stimulus, Organism, Response Cognitive Theory (SOR), the study examined if positive smartphone usage enhances well-being and job outcomes, while negative usage diminishes them. The results revealed that smartphone usage does not …


Utility Of John Deere's See & Spray Ultimate In Southern U.S. Row Crops, Tristen Avent May 2025

Utility Of John Deere's See & Spray Ultimate In Southern U.S. Row Crops, Tristen Avent

Graduate Theses and Dissertations

Row crop producers across the southern United States are observing a boom in technological advancement to improve operational efficiency. Additionally, environmental concerns and reduced profit margins drive the adoption of targeted pesticide application technologies like the John Deere See & Spray. This technology is relatively new, introduced in 2022, and producers need more insight into the shortcomings, potential herbicide savings, and the economic benefits of adoption. Since 2021, research has been conducted in Keiser, AR, with additional collaborative projects in Mississippi, North Carolina, Indiana, and Illinois. Five different objectives were addressed in this research: 1) to determine the impact of …


Exploring 2slgbtqia+ Parenting In Northwest Arkansas, Bailey Mason May 2025

Exploring 2slgbtqia+ Parenting In Northwest Arkansas, Bailey Mason

Graduate Theses and Dissertations

Since the U.S. Census Bureau first published data on “same-sex” households in 2011, research has repeatedly indicated the majority of 2SLGBTQIA+ parents (here on referred to as “queer parents”) reside outside of major cities in heavily populated regions of the country. However, due to widespread metronormative narratives about the queer experience, the experiences of queer parents in less-populated regions are rarely studied. This qualitative study explores the lived experiences of queer parents in Northwest Arkansas, a region of the politically and religiously conservative Southern U.S. with areas both urban and rural. Applying grounded theory and drawing from queer theory to …


Crispy Not Risky: Effects Of Environmental Conditions On Low-Moisture Food Persistent Bacterial Pathogens, Manita Adhikari May 2025

Crispy Not Risky: Effects Of Environmental Conditions On Low-Moisture Food Persistent Bacterial Pathogens, Manita Adhikari

Graduate Theses and Dissertations

Low-moisture foods (LMFs) were not historically seen as safety risks due to their ability to inhibit pathogen growth, but evidence shows pathogens can survive in LMFs long-term, causing outbreaks and recalls. Previous studies have lacked the ability to replicate real-world contamination scenarios in LMF processing environments. This research aimed to develop inoculation methods to form LMF persistent bacterial populations (LMF PBPs) and assess pathogen responses to environmental factors, culturing methods (broth vs. lawn), and matrix type and ratio. Inoculation methods tested were “direct” (combining bacterial culture and powder on a stainless-steel coupon) and “slurry” (premixing culture and powder). Matrices included …


Using Deep Learning And Two-Photon Excitation Fluorescence Microscopy To Predict Breast Cancer Recurrence And Response To Chemotherapy, Nicholas Powell May 2025

Using Deep Learning And Two-Photon Excitation Fluorescence Microscopy To Predict Breast Cancer Recurrence And Response To Chemotherapy, Nicholas Powell

Graduate Theses and Dissertations

Accurate prediction of breast cancer recurrence plays a critical role in guiding treatment decisions, particularly regarding the use of systemic therapy for patients. While genomic assays such as the Oncotype DX Recurrence Score offer valuable prognostic information, they are limited in accessibility and application. The work presented in this thesis explores an imaging-based approach for the prediction of breast cancer recurrence that combines multiphoton microscopy (MPM) with deep learning to classify individual breast cancer biopsy samples by risk of recurrence. Genomic differences in tumors with different recurrence potentials may translate to distinct optical and structural information that can be captured …


Community Perceptions Of A Crisis Response Collaboration: A Community Survey Of Attitudes Towards Police And The Crisis Intervention Response Team., Meghan Anspach May 2025

Community Perceptions Of A Crisis Response Collaboration: A Community Survey Of Attitudes Towards Police And The Crisis Intervention Response Team., Meghan Anspach

Graduate Theses and Dissertations

This thesis examined community perceptions of the Fayetteville Police Department (FPD) and its Crisis Intervention Response Team (CIRT), focusing on how racial minorities and individuals from lower socioeconomic status (SES) backgrounds view these professionals and their roles in crisis situations. The research also aimed to determine whether perceptions of the collaborative effort through CIRT influenced views of the FPD. Previous research has explored perceptions of police, social workers, and co-response teams individually, but a gap remains in understanding how community members feel about the collaboration between police and social workers and whether these perceptions influence their views of the police. …


The Relationship Between Attention Deficit Hyperactivity Disorder And Problematic Internet Usage In Lgbtq+ Adults, Kayli Nicole Heigelmann May 2025

The Relationship Between Attention Deficit Hyperactivity Disorder And Problematic Internet Usage In Lgbtq+ Adults, Kayli Nicole Heigelmann

Graduate Theses and Dissertations

This thesis explores how LGBTQ+ adults who experience attention deficit hyperactivity disorder (ADHD) symptomology perceive and navigate potential problematic Internet usage (PIU). Utilizing a qualitative, phenomenological approach, twelve participants were interviewed to gain insight on how neurodivergence, queer identity, and Internet engagement intersect. Findings revealed two overarching themes: 1) the interplay between PIU, ADHD, and sexual/gender diversity, and 2) the meaning of the Internet for individuals with intersecting minority identities. Participants widely endorsed the Internet as an important space for identity negotiation, community, and affirmation for their multiple minority statuses, but acknowledged their vulnerability to the Internet’s attention-capturing mechanisms, reporting …


In Vitro And In Vivo Evaluation Of The Effect Of A Commercial-Dried Enterococcus Faecium Fermentation Product As Quorum Sensing Inhibitors Of Salmonella Enterica Typhimurium, Ileana Loeza May 2025

In Vitro And In Vivo Evaluation Of The Effect Of A Commercial-Dried Enterococcus Faecium Fermentation Product As Quorum Sensing Inhibitors Of Salmonella Enterica Typhimurium, Ileana Loeza

Graduate Theses and Dissertations

The purpose of the present research was to evaluate Enterococcus faecium fermentation peptides (EFP) for antibacterial activity, inhibition of biofilm formation, and anti-quorum sensing properties against Salmonella Typhimurium (ST) in in vitro trials and individual body weight and ST organ colonization in therapeutic and prophylactic models in broiler chickens. Ninety-six day-of-hatch Cobb 500 broiler chickens were randomized and assigned to one of four treatments: NC) Negative Control, no EFP treatment and no ST challenge; NC+EFP) Negative Control, EFP treatment and no ST; PC) Positive Control, no EFP treatment and ST challenge, and PC+EFP) EFP treated and ST challenged. Independent trials …


On And Off The Court: Who Am I?, Katie Claire Parker May 2025

On And Off The Court: Who Am I?, Katie Claire Parker

Graduate Theses and Dissertations

From a very young age, athletically gifted individuals are encouraged to pursue their sport. This can lead to a strong maturity in an athletic sense, yet it comes at the expense of other areas of development. The early commitments to sport require the individual to make sacrifices that allow them to gain competency over others, as a result, additional values and identifying characteristics get pushed aside. Further, athletes are known for performing in the spotlight. Every game has an audience and one team ends up a winner, the other a loser. Typically, the athletes experience the highs of victory and …


Sanctuary Of The Voiceless: Examining Tik-Tok As A Political Landscape, Quentin Key May 2025

Sanctuary Of The Voiceless: Examining Tik-Tok As A Political Landscape, Quentin Key

Graduate Theses and Dissertations

While studies of social media as a political landscape often focus on established platforms like Twitter. They neglect emerging spaces like TikTok, the short-form video app, which has become an unexpected hub for political discourse. This study test Melissa Harris-Perry's "everyday talk" framework to analyze the political utility of this new digital space. Through analysis of 271 posts across TikTok, Twitter/X, and Truth Social, the research reveals how platforms simultaneously enable and constrain political discourse. Findings show verified accounts post political content 3.2 times more often than regular users, while political posts receive 167% more reposts, demonstrating how algorithms amplify …


The Effects Of Wwii Service On Black South African Soldiers, 1939-1950, Zachary Wilmoth May 2025

The Effects Of Wwii Service On Black South African Soldiers, 1939-1950, Zachary Wilmoth

Graduate Theses and Dissertations

This thesis examines the experiences and motives of black South African soldiers who were a part of the Native Military Corps during the Second World War. It argues that these Black South African soldiers gained a growing sense of racial consciousness as a result of their service and corresponding experiences. In doing so, this thesis challenges previous historical interpretations of the Native Military Corps that have perpetuated the notion that Black veterans gained little political or racial understanding as a result of their service. Previous historians have predominantly relied on archival governmental records to substantiate their claims. However, such source …


Synthesis And X-Ray Characterization Of Nickel Phosphide Nanostructures For Water Oxidation, David Thompson May 2025

Synthesis And X-Ray Characterization Of Nickel Phosphide Nanostructures For Water Oxidation, David Thompson

Graduate Theses and Dissertations

The pursuit of earth-abundant 3d transition metal catalysts for alkaline water electrolysis remains an active area of research. While NiFe layered double hydroxides (LDH) are currently the most active catalysts for the oxygen evolution reaction (OER), doping Ni-based catalysts with phosphorus to form Ni metal phosphides has emerged as a promising alternative. However, the complex crystalline and amorphous phases of NiPx have hindered their characterization, and the OER mechanism and origin of activity remain unclear. This dissertation aims to elucidate the synthesis, OER performance, and in situ reconstruction of amorphous NiPx-based nanomaterials, with a focus on in …


Real-Time Anomaly Detection In Ot Networks Using Gru-Based Autoencoders, Grant Austin Wilkins May 2025

Real-Time Anomaly Detection In Ot Networks Using Gru-Based Autoencoders, Grant Austin Wilkins

Graduate Theses and Dissertations

Operational Technology (OT) networks, particularly those used in critical infrastructure, face increasing cyber threats that target network-level protocols and behaviors. While most anomaly detection research for OT systems has traditionally relied on sensor data, this thesis explores the viability of detecting malicious activity directly from network telemetry. We propose a sequence-to-sequence autoencoder model based on Gated Recurrent Units (GRUs) with multilevel attention, trained to reconstruct normal patterns of packet-level communication extracted from raw PCAP data. The developed feature engineering pipeline integrates general networking attributes such as IP and MAC addresses, ports, and transport protocols with OT-specific protocol information from Modbus …


Parole Predictions: Estimating The Likelihood A Humanitarian Parole Group Will Receive A Status Adjustment, Amethyst Osborne May 2025

Parole Predictions: Estimating The Likelihood A Humanitarian Parole Group Will Receive A Status Adjustment, Amethyst Osborne

Graduate Theses and Dissertations

Humanitarian parole is an immigration policy that allows paroled individuals to enter or remain in the United States temporarily. The standard pathway for parolees to gain legal permanent residency (LPR) is limited by a number of requirements and restrictions, i.e., sponsorship from a family member or employer is usually required. However, in some instances, laws have been passed that grant an automatic adjustment to LPR status for select groups of parolees. This study is intended to investigate the circumstances that lead some groups to receive a status adjustment while other groups are denied a dedicated pathway to legal permanent residency. …


Women’S Participation In Homegrown And Domestic Terrorism Plots, Caroline Johnson May 2025

Women’S Participation In Homegrown And Domestic Terrorism Plots, Caroline Johnson

Graduate Theses and Dissertations

The 21st century ushered in major social, political, and cultural changes in the United States, including a new era of homeland security and new forms of domestic terrorism. Little is known about how such shifts may have impacted women’s participation in terrorism plots. In response, data from the American Terrorism Study (ATS) are used to comparatively examine the involvement of women in homegrown and domestic terrorism plots before and after the 9/11 terrorist attacks. Findings of similarities and differences in women’s involvement in terrorism across time periods are presented and contextualized.


The Role Of Mental And Physical Health On Fear Of Crime, Macky Ann Hurst May 2025

The Role Of Mental And Physical Health On Fear Of Crime, Macky Ann Hurst

Graduate Theses and Dissertations

Fear of crime is a significant social issue that affects quality of life, often leading to behavioral changes and increased anxiety. While prior research has explored the link between fear of crime and health, notable gaps remain – particularly regarding how distinct dimensions of health influence fear of crime. This study addresses these gaps by examining the effects of perceived health and depressive symptoms on fear of crime. Data were drawn from the Arkansas Crime, Public Safety, and Health Survey (ACPSHS), an online, opt-in survey of approximately 2,300 non- institutionalized adults in Arkansas. Ordinary least squares regression models were used …


Guns, Policing, And Crime: How The Internet And Social Media Shape Public Opinions, Sophie Buckley May 2025

Guns, Policing, And Crime: How The Internet And Social Media Shape Public Opinions, Sophie Buckley

Graduate Theses and Dissertations

I aimed to understand whether and how use of the internet and social media shapes attitudes on gun control, policing, and general crime. I use elements of cultivation theory to explain how exposure to media content insights moral panics and influences public beliefs on issues like guns and policing. Data were drawn from the 2023 Pew Research Center National Public Opinion Reference Survey (N=4,713), an annual survey of United States adults to produce benchmark estimates for various topics. I hypothesized that data from the survey will show frequent social media and internet usage influences attitudes towards crime, policing, and guns. …


Comparisons Between Traditional And Gluten-Free Cookies In Sensory Attributes, Acceptance, And Evoked Emotions, Eniola Ola May 2025

Comparisons Between Traditional And Gluten-Free Cookies In Sensory Attributes, Acceptance, And Evoked Emotions, Eniola Ola

Graduate Theses and Dissertations

The rise in food allergies and intolerances, notably conditions like Celiac disease, as well as a general shift of consumers to a more health-conscious lifestyle has significantly increased the demand for gluten-free products. Consumers increasingly seek gluten-free products, yet these alternatives often face challenges in replicating the sensory qualities of traditional gluten-containing foods. This study explores the sensory attributes, emotional responses, and labeling impacts on consumer perception of gluten-free and gluten-containing cookies. The main objective of this thesis was to address the gap in research on sensory evaluation of gluten free foods, specifically in terms of commercially available products. The …


Controlling Expansion Behavior Through Curing And Mix Design For An Expansive, Rapid-Setting Bcsa Cement, Amanda Parolini Dutra Dec 2024

Controlling Expansion Behavior Through Curing And Mix Design For An Expansive, Rapid-Setting Bcsa Cement, Amanda Parolini Dutra

Graduate Theses and Dissertations

Cracking in concrete has been a concern for engineers because it reduces its durability and strength. Some of this cracking behavior is due to shrinkage, which occurs when the water in the concrete evaporates and causes a reduction in volume. Expansive cements were invented to counteract this shrinkage behavior. This research studies a new formulation of a standalone, fast-setting, fast-strength gain expansive BCSA cement. Since it is a new cement, a limited amount of literature is available about mixture design, strength properties, and how to obtain the desired level of expansion. This study then aims to fill some of these …


Advanced Numerical Techniques For Multiscale Simulations In Biofluid Dynamics, Justin Tamico Jack Dec 2024

Advanced Numerical Techniques For Multiscale Simulations In Biofluid Dynamics, Justin Tamico Jack

Graduate Theses and Dissertations

The study of anisometric particle suspensions and congenital heart defects (CHDs) involve exploring complex phenomena within the biological sciences. The former subject dives into the phase behavior of liquid crystals (LCs), particularly the influence of the shape anisotropy of rod-like nanoparticles on phase transitions, through the implementation of statistical techniques involving molecular dynamics (MD). Conversely, the latter topic focuses on the assessment and management of severe congenital arterial stenoses, such as those found in Williams-Beuren syndrome (WS), through advanced multi-scale computational fluid dynamics (CFD) simulations. Both areas emphasize the importance of detailed analysis and the use of advanced numerical modeling …