Aggregation-fragmentation-diffusion model for trail dynamics

We investigate statistical properties of trails formed by a random process incorporating aggregation, fragmentation, and diffusion. In this stochastic process, which takes place in one spatial dimension, two neighboring trails may combine to form a larger one, and also one trail may split into two. In addition, trails move diffusively. The model is defined by two parameters which quantify the fragmentation rate and the fragment size. In the long-time limit, the system reaches a steady state, and our focus is the limiting distribution of trail weights. We find that the density of trail weight has power-law tail P(w)~w-γ for small weight w. We obtain the exponent γ analytically and find that it varies continuously with the two model parameters. The exponent γ can be positive or negative, so that in one range of parameters small-weight trails are abundant and in the complementary range they are rare

Look-alike, sound-alike medication errors: A novel case concerning a Slow-Na, Slow-K prescribing error

A 59-year-old man was mistakenly prescribed Slow-Na instead of Slow-K due to incorrect selection from a drop-down list in the prescribing software. This error was identified by a pharmacist during a home medicine review (HMR) before the patient began taking the supplement. The reported error emphasizes the need for vigilance due to the emergence of novel look-alike, sound-alike (LASA) drug pairings. This case highlights the important role of pharmacists in medication safety

Chart a Course for Holistic Admissions Transformation Using an Interprofessional Model

Implementing comprehensive holistic admissions requires schools to evaluate, and perhaps think differently, about recruitment and marketing, admission and retention practices, as well as the extent to which these practices align with the institutional mission and goals. Developing and implementing holistic admissions is time, and resource intensive and requires tremendous leadership and faculty support. This course is designed to give physical therapy educators background rationale and a formal structure to operationalize comprehensive holistic admissions, from recruitment to workforce placement, including strategies for gaining higher administration support. The Dean, former Associate Dean for Academic Affairs, and Admissions Committee Chair of the College of Allied Health Professions (CAHP) at the University of Nebraska Medical Center will share their experience with developing, implementing and evaluating comprehensive holistic admissions for the entire college, consisting of 14 programs. The interactive course format will invite participants to engage the presenters as it pertains to the participants’ unique journeys with implementing holistic admission practices at their own institutions, allowing for a rich exchange of information and experiences.https://digitalcommons.unmc.edu/cahp_pres/1000/thumbnail.jp

Compression Molded Composite Component

The following final design report outlines the design and fabrication of a carbon fiber compression molded sunglasses case. It intends to guide the development of a future lab activity for a composites undergraduate course at Cal Poly – San Luis Obispo. The activity aims to support an educational investigation in out-of-autoclave composites manufacturing methods, such as compression molding, which offer some key benefits over autoclave molding. The methodology behind the creation of a conceptual design, an initial prototype, and a final product is laid out in detail below

The Effect of Hip Taping on Hip and Knee Muscle Activity

Background and Purpose: It has been hypothesized that patellofemoral pain may be precipitated by weak hip abductor musculature that does not pull the pelvis and femurs into correct alignment during gait activities. The misalignment at the pelvis leads to misalignment down the kinetic chain, eventually affecting the knees. It is theorized that hip taping may aid in supporting the pelvis, thus reducing the EMG activity of the hip abductors and normalizing the alignment of the knees. The purpose of this study is to describe muscle activity and joint motion during a step-down test in subjects with and without the hip tape in place. Methods: Twenty healthy subjects (9 men, 11 women) with no history of hip or knee pathology performed a step-down test with and without hip tape in place. The EMG activity of the gluteus medius and the tensor fascia lata was recorded via surface electrodes while tibio-femoral joint valgus angles were measured using video-analysis. Data was analyzed using a paired samples t-test. Results: There was no significant difference in EMG activity of the gluteus medius for males (p=.603), females (p=.2S6), or males and females together (p=.840). There was also no significant difference in the EMG activity of the tensor fascia lata for males (p=.221), females (p=.876), or males and females together (p=.239). There was no significant difference in hip adduction values between taped and non-taped males (p=.060). There were, however, significant differences in hip adduction values between taped and non-taped females (p=.OOO) and taped and non-taped males and females together (p=.OOO). Conclusion: Hip taping may reduce the amount of hip adduction in patients and allow for a more efficient action at the patella, thus reducing anterior knee pain in patients. More studies, employing larger sample sizes, are needed to support the efficacy of hip taping in decreasing anterior knee pain

Tilings of Annular Region

We present our summer research on mathematical tiling. We classified which rectangular annular regions are tileable by the set of T and skew tretrominoes. We present a partial proof of this result, and discuss some of the context for this problem

Competitive Tiling

Competitive tiling consists of two players, a tile set, a region, and a non-negative integer d. Alice and Bob, our two players, alternate placing tiles on the untiled squares of the region. They play until no more tiles can be placed. Alice wins if at most d squares are untiled at the end of the game, and Bob wins if more than d squares are untiled. For given regions and tile sets we are interested in the smallest value of d such that Alice has a winning strategy. We call this the game tiling number. In this project, we focus on finding the game tiling number for the game played with dominoes on 2 x n rectangles, modified 2 x n rectangles, and rectangular annular regions