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Solution methods for certain linear and nonlinear evolution equations are presented in this dissertation. Emphasis is placed mainly on the analytical treatment of nonautonomous differential equations, which are challenging to solve despite the existent numerical and symbolic computational software programs available. Ideas from the transformation theory are adopted allowing one

Solution methods for certain linear and nonlinear evolution equations are presented in this dissertation. Emphasis is placed mainly on the analytical treatment of nonautonomous differential equations, which are challenging to solve despite the existent numerical and symbolic computational software programs available. Ideas from the transformation theory are adopted allowing one to solve the problems under consideration from a non-traditional perspective. First, the Cauchy initial value problem is considered for a class of nonautonomous and inhomogeneous linear diffusion-type equation on the entire real line. Explicit transformations are used to reduce the equations under study to their corresponding standard forms emphasizing on natural relations with certain Riccati(and/or Ermakov)-type systems. These relations give solvability results for the Cauchy problem of the parabolic equation considered. The superposition principle allows to solve formally this problem from an unconventional point of view. An eigenfunction expansion approach is also considered for this general evolution equation. Examples considered to corroborate the efficacy of the proposed solution methods include the Fokker-Planck equation, the Black-Scholes model and the one-factor Gaussian Hull-White model. The results obtained in the first part are used to solve the Cauchy initial value problem for certain inhomogeneous Burgers-type equation. The connection between linear (the Diffusion-type) and nonlinear (Burgers-type) parabolic equations is stress in order to establish a strong commutative relation. Traveling wave solutions of a nonautonomous Burgers equation are also investigated. Finally, it is constructed explicitly the minimum-uncertainty squeezed states for quantum harmonic oscillators. They are derived by the action of corresponding maximal kinematical invariance group on the standard ground state solution. It is shown that the product of the variances attains the required minimum value only at the instances that one variance is a minimum and the other is a maximum, when the squeezing of one of the variances occurs. Such explicit construction is possible due to the relation between the diffusion-type equation studied in the first part and the time-dependent Schrodinger equation. A modication of the radiation field operators for squeezed photons in a perfect cavity is also suggested with the help of a nonstandard solution of Heisenberg's equation of motion.
ContributorsVega-Guzmán, José Manuel, 1982- (Author) / Sulov, Sergei K (Thesis advisor) / Castillo-Chavez, Carlos (Thesis advisor) / Platte, Rodrigo (Committee member) / Chowell-Puente, Gerardo (Committee member) / Arizona State University (Publisher)
Created2013
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This study was conducted to determine the difference in compressive strength between decayed and healthy teeth. The teeth were subjected to a compressive force to simulate the process of mastication. This was done to show that healthy teeth would be better at handling these compressive forces since they have more

This study was conducted to determine the difference in compressive strength between decayed and healthy teeth. The teeth were subjected to a compressive force to simulate the process of mastication. This was done to show that healthy teeth would be better at handling these compressive forces since they have more enamel. 26 teeth samples were collected (19 molars, 4 canines, and 3 premolars) evenly distributed between healthy and decayed. The samples were dimensionally analyzed using electronic calipers and then categorized as either decayed or healthy. The samples were then placed in a nut bolt with epoxy so that the samples could be compressed. Each sample was recorded on video while they were being exposed to the compressive force. This was done to observe how the samples were coming in contact with the Shimadzu compression machine. The amount of force that was required for the samples to exhibit the first point of breakage was recorded by the machine in pounds of force. Various analyses were conducted to determine relationships between several variables. The results showed that as the total and occlusal surface area increased, so did the amount of force the samples could absorb before breakage. As the machine came in contact with more cusps among the molar samples, those samples were able to absorb a larger compressive force. The average force that the decayed and healthy molar samples endured before breakage was roughly even, with the decayed samples average being slightly greater.

ContributorsHenscheid, Keaton J (Author) / Quaranta, Kimberly (Thesis director) / Peoples, Samuel (Committee member) / College of Health Solutions (Contributor) / Dean, W.P. Carey School of Business (Contributor) / Barrett, The Honors College (Contributor)
Created2021-05
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This study examines the effectiveness of two modes of exercise on inhibitory control in adults with Down Syndrome (DS). Thirteen participants attended four sessions: a baseline assessment, an Assisted Cycling Therapy (ACT) session, a Resistance Training (RT) session, and a session of No Training (NT). In the baseline assessment, 1-repetition

This study examines the effectiveness of two modes of exercise on inhibitory control in adults with Down Syndrome (DS). Thirteen participants attended four sessions: a baseline assessment, an Assisted Cycling Therapy (ACT) session, a Resistance Training (RT) session, and a session of No Training (NT). In the baseline assessment, 1-repetition max (1RM) measurements and voluntary pedal rate measurements were taken. In the resistance training session, the leg press, chest press, seated row, leg curl, shoulder press, and latissimus pulldown were performed. In the cycling intervention, the participant completed 30 minutes of cycling. The Erikson Flanker task was administered prior to each session (i.e., pretest) and after the intervention (i.e., post-test). The results were somewhat consistent with the hypothesis that inhibition time improved more following RT and ACT than NT. there was also a significant difference between ACT and NT. Additionally, it was hypothesized that all measures would improve following each acute exercise intervention, but the most significant improvements were seen following ACT. In conclusion, an acute session of ACT demonstrated a significant trend towards improvements in inhibitory control in adults with DS which we interpreted using a model of neural changes.

ContributorsHayes, Claire (Author) / Ringenbach, Shannon (Thesis director) / Arnold, Nate (Committee member) / Rand, Miya (Committee member) / Edson College of Nursing and Health Innovation (Contributor) / College of Health Solutions (Contributor) / Barrett, The Honors College (Contributor)
Created2021-05
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The various health benefits of vinegar ingestion have been studied extensively in the<br/>literature. Moreover, emerging research suggests vinegar may also have an effect on mental<br/>health. Beneficial effects of certain diets on mood have been reported, however, the mechanisms<br/>are unknown. The current study aimed to determine if vinegar ingestion positively affects

The various health benefits of vinegar ingestion have been studied extensively in the<br/>literature. Moreover, emerging research suggests vinegar may also have an effect on mental<br/>health. Beneficial effects of certain diets on mood have been reported, however, the mechanisms<br/>are unknown. The current study aimed to determine if vinegar ingestion positively affects mood<br/>state in healthy young adults. This was a randomized, single blinded controlled trial consisting of<br/>25 subjects. Participants were randomly assigned to either the vinegar group (consumed 2<br/>tablespoons of liquid vinegar diluted in one cup water twice daily with meals) or the control<br/>group (consumed one vinegar pill daily with a meal), and the intervention lasted 4 weeks.<br/>Subjects completed mood questionnaires pre- and post-intervention. Results showed a significant<br/>improvement in CES-D and POMS-Depression scores for the vinegar group compared to the<br/>control. This study suggests that vinegar ingestion may improve depressive symptoms in healthy<br/>young adults.

ContributorsWilliams, Susanna (Author) / Johnston, Carol (Thesis director) / Whisner, Corrie (Committee member) / College of Health Solutions (Contributor) / Barrett, The Honors College (Contributor)
Created2021-05
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Mortality of 1918 influenza virus was high, partly due to bacteria coinfections. We characterize pandemic mortality in Arizona, which had high prevalence of tuberculosis. We applied regressions to over 35,000 data points to estimate the basic reproduction number and excess mortality. Age-specific mortality curves show elevated mortality for all age

Mortality of 1918 influenza virus was high, partly due to bacteria coinfections. We characterize pandemic mortality in Arizona, which had high prevalence of tuberculosis. We applied regressions to over 35,000 data points to estimate the basic reproduction number and excess mortality. Age-specific mortality curves show elevated mortality for all age groups, especially the young, and senior sparing effects. The low value for reproduction number indicates that transmissibility was moderately low.
ContributorsJenner, Melinda Eva (Author) / Chowell-Puente, Gerardo (Thesis director) / Kostelich, Eric (Committee member) / Barrett, The Honors College (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / School of Life Sciences (Contributor)
Created2015-05
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Background: While research has quantified the mortality burden of the 1957 H2N2 influenza pandemic in the United States, little is known about how the virus spread locally in Arizona, an area where the dry climate was promoted as reducing respiratory illness transmission yet tuberculosis prevalence was high.
Methods: Using archival

Background: While research has quantified the mortality burden of the 1957 H2N2 influenza pandemic in the United States, little is known about how the virus spread locally in Arizona, an area where the dry climate was promoted as reducing respiratory illness transmission yet tuberculosis prevalence was high.
Methods: Using archival death certificates from 1954 to 1961, this study quantified the age-specific seasonal patterns, excess-mortality rates, and transmissibility patterns of the 1957 pandemic in Maricopa County, Arizona. By applying cyclical Serfling linear regression models to weekly mortality rates, the excess-mortality rates due to respiratory and all-causes were estimated for each age group during the pandemic period. The reproduction number was quantified from weekly data using a simple growth rate method and generation intervals of 3 and 4 days. Local newspaper articles from The Arizona Republic were analyzed from 1957-1958.
Results: Excess-mortality rates varied between waves, age groups, and causes of death, but overall remained low. From October 1959-June 1960, the most severe wave of the pandemic, the absolute excess-mortality rate based on respiratory deaths per 10,000 population was 17.85 in the elderly (≥65 years). All other age groups had extremely low excess-mortality and the typical U-shaped age-pattern was absent. However, relative risk was greatest (3.61) among children and young adolescents (5-14 years) from October 1957-March 1958, based on incidence rates of respiratory deaths. Transmissibility was greatest during the same 1957-1958 period, when the mean reproduction number was 1.08-1.11, assuming 3 or 4 day generation intervals and exponential or fixed distributions.
Conclusions: Maricopa County largely avoided pandemic influenza from 1957-1961. Understanding this historical pandemic and the absence of high excess-mortality rates and transmissibility in Maricopa County may help public health officials prepare for and mitigate future outbreaks of influenza.
ContributorsCobos, April J (Author) / Jehn, Megan (Thesis director) / Chowell-Puente, Gerardo (Committee member) / Barrett, The Honors College (Contributor) / School of Human Evolution and Social Change (Contributor) / School of Life Sciences (Contributor)
Created2015-05
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Childhood obesity is a growing public health concern in the United States. For several years, many interventions have been established to reduce the prevalence of childhood obesity. However, these interventions have not adequately utilized existing models of behavior change, and as a result, have been unsuccessful in increasing levels of

Childhood obesity is a growing public health concern in the United States. For several years, many interventions have been established to reduce the prevalence of childhood obesity. However, these interventions have not adequately utilized existing models of behavior change, and as a result, have been unsuccessful in increasing levels of physical activity and healthy dietary intake. One such model of change, the Transtheoretical Model, views behavior change as occurring through a series of stages with progression through the stages being facilitated by cognitive and behavioral processes. Within these processes the constructs of consciousness-raising, helping relationships, and self-efficacy have been shown to be most influential in changing behaviors. Thus, the objective of this paper is to evaluate the effectiveness of such constructs and establish a multi-faceted approach to combat this epidemic.
ContributorsWang, Janice (Author) / Broman, Tannah (Thesis director) / Hoffner, Kristin (Committee member) / Baldwin, Marjorie (Committee member) / Barrett, The Honors College (Contributor) / College of Health Solutions (Contributor)
Created2012-12
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Children's wellbeing has been of utmost concern to society, and recently this topic has taken a particular focus in both health and achievement. As the focus shifts towards promoting a healthier and more academically successful youth, the relationship between the two warrants investigation. Specifically, the relationship between physical fitness and

Children's wellbeing has been of utmost concern to society, and recently this topic has taken a particular focus in both health and achievement. As the focus shifts towards promoting a healthier and more academically successful youth, the relationship between the two warrants investigation. Specifically, the relationship between physical fitness and academic performance (i.e. grades) in 4th grade students was assessed. A cross-sectional design was used to assess physical fitness of children (M=9.39 years) by means of the FITNESSGRAM assessment tool. Third-quarter grades were used to measure academic performance. Relationships between the variables were determined through bivariate plots, Pearson product moment correlation analysis, independent t-tests, and a three-step regression analysis. The results show a significant relationship between students' aerobic fitness and academic performance. Furthermore, the findings of this study suggest incremental validity between aerobic fitness and academic performance, thus implying predictive value associated with increased physical fitness and academic achievement.
ContributorsMoore, Shannon (Author) / Kulinna, Pamela (Thesis director) / Hoffner, Kristin (Committee member) / Stylianou, Michalis (Committee member) / Barrett, The Honors College (Contributor) / College of Health Solutions (Contributor)
Created2012-12
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Description

It is well known that the lack of care coordination in the healthcare system causes numerous problems including cost inefficiency and inconsistent care, specifically for complex pediatric and adult patients. Many pediatric patients have complex medical and social service needs which can be expensive for both the patient’s parents and

It is well known that the lack of care coordination in the healthcare system causes numerous problems including cost inefficiency and inconsistent care, specifically for complex pediatric and adult patients. Many pediatric patients have complex medical and social service needs which can be expensive for both the patient’s parents and the general healthcare system. Therefore, it is difficult for the healthcare system to deliver the highest quality care possible, due to the number of appointments that have to be scheduled (with some being out of state), the large volume of physical health records, and overall lack of time parents have to coordinate this care while also caring for themselves and other family members. It is integral to find a more efficient way to coordinate care for these patients, in order to improve overall care, cost efficiency, and outcomes. <br/>A number of stakeholders in Arizona came together to work on this problem over several years. They were funded through a PCORI Eugene Washington Engagement grant to investigators at ASU. This project, Take Action for Arizona's Children through Care Coordination: A Bridge to Action was developed in order to further develop a research agenda and build the network (PCOR). Regional conferences were conducted in Flagstaff, Yuma, Phoenix, and Tucson, as well as a final capstone conference held in Phoenix. At these conferences, frustrations, suggestions, and opinions regarding Children with Special Health Care Needs (CSHCN) and navigating the healthcare system were shared and testimonials were transcribed.<br/>This study focused on the capstone conference. The study design was a strategic design workshop; results of the design analysis were analyzed qualitatively using descriptive content analysis. Themes described parent’s common experiences navigating the system, impacts resulting from such experiences, and desires for the care coordination system. Quotes were then grouped into major themes and subthemes for the capstone conference. After these themes were determined, the overarching goals of stakeholders could be assessed, and implementation projects could be described.

ContributorsBrennan, Bayley (Author) / Doebbeling, Bradley (Thesis director) / Lamb, Gerri (Committee member) / College of Health Solutions (Contributor, Contributor) / School of Life Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2021-05
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This thesis discusses why there is so much employee turnover in the Sports Programs department, which is a working department of the Sun Devil Fitness Complex on Arizona State’s Tempe Campus. The analysis discusses the problems that have been noticed from personal experience, and the problems that have been

This thesis discusses why there is so much employee turnover in the Sports Programs department, which is a working department of the Sun Devil Fitness Complex on Arizona State’s Tempe Campus. The analysis discusses the problems that have been noticed from personal experience, and the problems that have been explained by employees that left about why they decided to leave. The analysis is done based on the concepts of the four frames, based on research documented by Bolman and Deal in their book. There is an overview of all of the departments and specifically the Sports Programs department, and a deep dive into what that department does. There is a discussion of what problems may be present, and some solutions such as debriefings, trainings, and more objective evaluations that can be implemented into the department to try to fix the problems that have been noticed.

ContributorsRoegge, Kylie Anne (Author) / deLusé, Stephanie (Thesis director) / Cobb, Ethan (Committee member) / School of International Letters and Cultures (Contributor) / College of Health Solutions (Contributor) / Department of Psychology (Contributor) / Barrett, The Honors College (Contributor)
Created2021-05