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INTR2022TUCKER881 INTR

Once Upon A Room

Type: Undergraduate
Author(s): Maggie Tucker Interdisciplinary Molly Koca Interdisciplinary Jacqueline Leon Interdisciplinary
Advisor(s): Mathew Crawford Interdisciplinary
Location: Basement, Table 1, Position 1, 11:30-1:30

The Pre-Health Peer Mentor EPIC grant program initiated our Once Upon a Room project to provide individual room decorations to patients at Cook Children. Due to ongoing COVID-19 pandemic, we pivoted our goals by creating gift bags for patients and their families. These bags included gifts to make their stay better, from holiday bags including board games, toys, and other sensory items to welcome bags with hygiene supplies for parents. We have delivered approximately 45 bags in the Fall 2021 and Spring 2022 semesters and are set to deliver approximately 36 more in coming months. The gift bags have been a success with consistent and positive feedback from family and from Cook Children's Child Life department alike.

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MATH2022DANIELS33731 MATH

Group Actions on Cell Complexes

Type: Undergraduate
Author(s): Harrison Daniels Mathematics
Advisor(s): Ken Richardson Mathematics
Location: Second Floor, Table 4, Position 3, 11:30-1:30

In this project we examine 2-dimensional cell-complexes and group actions on those cell complexes. We determine topological invariants of the group actions on these complexes using homology, cohomology, and the Euler characteristic.

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MATH2022NGUYEN60203 MATH

An investigation into Riemannian manifolds of positive scalar curvature

Type: Undergraduate
Author(s): Khoi Nguyen Mathematics
Advisor(s): Ken Richardson Mathematics
Location: Basement, Table 9, Position 1, 1:45-3:45

In the field of Riemannian geometry, the condition on the Riemannian metric so that a manifold has positive scalar curvature (PSC) is important for a number of reasons. Many famous researchers have contributed gradually to this area of geometry, and in this project, we study more about PSC metrics on such manifolds. Specifically, we refine and provide some details to the proof of Gromov and Lawson that the connected sum of 2 n-dimensional manifolds will admit a PSC metric, provided each of the manifolds has a metric with the same condition. We then derive some useful formulas related to the Riemann curvature tensor, the Ricci tensor, and the scalar curvature in many different scenarios. We compute the quantities for a manifold equipped with an orthonormal frame and its dual coframe, namely the connection one-form and the curvature two-form. Then, we observe the change in the structure functions, defined as a function that determines the Lie derivative of the orthonormal frame, under a nearly conformal change of the said frame. The aim of these calculations is that, by expressing the scalar curvature of a manifold M entirely in terms of the structure functions, we can determine a condition on the conformal factor so that when dividing the tangent bundle of M into two sub-bundles, then the scalar curvature restricted to one sub-bundle will “dominate” that of the other one so that if we know the scalar curvature of the former sub-bundle is positive, we can be assured that the scalar curvature of M as a whole is also positive.

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MATH2022NGUYEN7897 MATH

Random Surfaces and Curves

Type: Undergraduate
Author(s): Hoang Long Nguyen Mathematics
Advisor(s): Ken Richardson Mathematics
Location: Second Floor, Table 4, Position 1, 11:30-1:30

This research project focuses on the spreading of random curves in the differential geometry field which arises in statistical mechanics . It is known from the work of Einstein that random walks are connected to Brownian motion and diffusion. We will examine random curves that are not merely continuous but that are smooth and have prescribed bounds on curvature. We examine the distribution of a finite number of endpoints of such random curves. Using Python, we obtain 2-D histograms, graphs, and charts to research the spreading of random curves. A central goal in statistical mechanics is to describe the large-scale behavior of systems with the distribution of randomly generated data; we compare the distributions of curve endpoints to the Gaussian (normal) distribution.

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NTDT2022COURIS57988 NTDT

Improved physiological markers of omega-3 status and compliance with omega-3 supplementation in Division I Track & Field and Cross-country athletes: a randomized control crossover trial

Type: Undergraduate
Author(s): Katie Couris Nutritional Sciences Daphne Thomas Biology
Advisor(s): Jada Willis Nutritional Sciences
Location: First Floor, Table 1, Position 1, 1:45-3:45

Omega-3 supplementation in Division I track & field and cross-country athletes: Physiological markers of Omega-3 status, compliance, and likeability

Katie Couris1, Daphne Thomas1, Tatum Johnston1, Austin J Graybeal, PhD, CSCS2, Brooke Helms, MA, RDN, CSSD, LD3, and Jada L. Willis, PhD, RDN, LD, FAND1

1Department of Nutritional Sciences, College of Science & Engineering, Texas Christian University; Fort Worth, TX
2School of Kinesiology and Nutrition, University of Southern Mississippi; Hattiesburg, MS
3TCU Sports Nutrition, Department of Athletics, Texas Christian University, Fort Worth, TX

ABSTRACT
Omega-3 fatty acid (FA) intake is suboptimal in student-athletes. Given this, and the newfound access to supplementation in collegiate athletes, the purpose of this study was to determine if Enhanced Recovery™ (ER) would improve FA profiles, compliance, and likeability versus a control in Division I track & field and cross-country athletes. In this randomized crossover study, 17 athletes were randomly assigned to either ER or a matched, standard control (fish-oil pills) for ~42d each with a 33-35d washout period. FA profiles were measured at baseline and every two-weeks. For omega-3 index (N3I), there were significant effects of time (p<0.001) and interaction (p=0.004). Significant increases were observed up to four-weeks and were higher for the control versus ER at weeks four (ER=7.25%±1.02; CON=7.76%±1.16) and six (ER=7.33%±1.14; CON=8.03%±1.33). There were also significant effects of time for omega-3:6 and arachidonic:eicosapentaenoic acid (p<0.001). However, after adjusting for compliance and consumption of omega-3 food sources, there were no longer significant effects of time, but an interaction effect remained for N3I and was observed for omega-3:6 (p=0.022; p=0.024, respectively) where both measures were better from four-to-six weeks during the control. Consumption of omega-3 food sources was a significant covariate for N3I and omega-3:6 (p=0.037; p=0.017, respectively). Lastly, 57.9% reported liking/being more likely to take ER and felt it was easier to consume (68.4%). As expected, both the ER and control led to improved FA levels. However, supplementation with ER led to improved likability among division I athletes which may enhance long-term omega-3 status.

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