Matching Items (73)
Description
Nonlinear dispersive equations model nonlinear waves in a wide range of physical and mathematics contexts. They reinforce or dissipate effects of linear dispersion and nonlinear interactions, and thus, may be of a focusing or defocusing nature. The nonlinear Schrödinger equation or NLS is an example of such equations. It appears as a model in hydrodynamics, nonlinear optics, quantum condensates, heat pulses in solids and various other nonlinear instability phenomena. In mathematics, one of the interests is to look at the wave interaction: waves propagation with different speeds and/or different directions produces either small perturbations comparable with linear behavior, or creates solitary waves, or even leads to singular solutions. This dissertation studies the global behavior of finite energy solutions to the $d$-dimensional focusing NLS equation, $i partial _t u+Delta u+ |u|^{p-1}u=0, $ with initial data $u_0in H^1,; x in Rn$; the nonlinearity power $p$ and the dimension $d$ are chosen so that the scaling index $s=frac{d}{2}-frac{2}{p-1}$ is between 0 and 1, thus, the NLS is mass-supercritical $(s>0)$ and energy-subcritical $(s<1).$ For solutions with $ME[u_0]<1$ ($ME[u_0]$ stands for an invariant and conserved quantity in terms of the mass and energy of $u_0$), a sharp threshold for scattering and blowup is given. Namely, if the renormalized gradient $g_u$ of a solution $u$ to NLS is initially less than 1, i.e., $g_u(0)<1,$ then the solution exists globally in time and scatters in $H^1$ (approaches some linear Schr"odinger evolution as $ttopminfty$); if the renormalized gradient $g_u(0)>1,$ then the solution exhibits a blowup behavior, that is, either a finite time blowup occurs, or there is a divergence of $H^1$ norm in infinite time. This work generalizes the results for the 3d cubic NLS obtained in a series of papers by Holmer-Roudenko and Duyckaerts-Holmer-Roudenko with the key ingredients, the concentration compactness and localized variance, developed in the context of the energy-critical NLS and Nonlinear Wave equations by Kenig and Merle. One of the difficulties is fractional powers of nonlinearities which are overcome by considering Besov-Strichartz estimates and various fractional differentiation rules.
ContributorsGuevara, Cristi Darley (Author) / Roudenko, Svetlana (Thesis advisor) / Castillo_Chavez, Carlos (Committee member) / Jones, Donald (Committee member) / Mahalov, Alex (Committee member) / Suslov, Sergei (Committee member) / Arizona State University (Publisher)
Created2011
Description
This thesis outlines the development of a vector retrieval technique, based on data assimilation, for a coherent Doppler LIDAR (Light Detection and Ranging). A detailed analysis of the Optimal Interpolation (OI) technique for vector retrieval is presented. Through several modifications to the OI technique, it is shown that the modified technique results in significant improvement in velocity retrieval accuracy. These modifications include changes to innovation covariance portioning, covariance binning, and analysis increment calculation. It is observed that the modified technique is able to make retrievals with better accuracy, preserves local information better, and compares well with tower measurements. In order to study the error of representativeness and vector retrieval error, a lidar simulator was constructed. Using the lidar simulator a thorough sensitivity analysis of the lidar measurement process and vector retrieval is carried out. The error of representativeness as a function of scales of motion and sensitivity of vector retrieval to look angle is quantified. Using the modified OI technique, study of nocturnal flow in Owens' Valley, CA was carried out to identify and understand uncharacteristic events on the night of March 27th 2006. Observations from 1030 UTC to 1230 UTC (0230 hr local time to 0430 hr local time) on March 27 2006 are presented. Lidar observations show complex and uncharacteristic flows such as sudden bursts of westerly cross-valley wind mixing with the dominant up-valley wind. Model results from Coupled Ocean/Atmosphere Mesoscale Prediction System (COAMPS®) and other in-situ instrumentations are used to corroborate and complement these observations. The modified OI technique is used to identify uncharacteristic and extreme flow events at a wind development site. Estimates of turbulence and shear from this technique are compared to tower measurements. A formulation for equivalent wind speed in the presence of variations in wind speed and direction, combined with shear is developed and used to determine wind energy content in presence of turbulence.
ContributorsChoukulkar, Aditya (Author) / Calhoun, Ronald (Thesis advisor) / Mahalov, Alex (Committee member) / Kostelich, Eric (Committee member) / Huang, Huei-Ping (Committee member) / Phelan, Patrick (Committee member) / Arizona State University (Publisher)
Created2013
Description
It is possible in a properly controlled environment, such as industrial metrology, to make significant headway into the non-industrial constraints on image-based position measurement using the techniques of image registration and achieve repeatable feature measurements on the order of 0.3% of a pixel, or about an order of magnitude improvement on conventional real-world performance. These measurements are then used as inputs for a model optimal, model agnostic, smoothing for calibration of a laser scribe and online tracking of velocimeter using video input. Using appropriate smooth interpolation to increase effective sample density can reduce uncertainty and improve estimates. Use of the proper negative offset of the template function has the result of creating a convolution with higher local curvature than either template of target function which allows improved center-finding. Using the Akaike Information Criterion with a smoothing spline function it is possible to perform a model-optimal smooth on scalar measurements without knowing the underlying model and to determine the function describing the uncertainty in that optimal smooth. An example of empiric derivation of the parameters for a rudimentary Kalman Filter from this is then provided, and tested. Using the techniques of Exploratory Data Analysis and the "Formulize" genetic algorithm tool to convert the spline models into more accessible analytic forms resulted in stable, properly generalized, KF with performance and simplicity that exceeds "textbook" implementations thereof. Validation of the measurement includes that, in analytic case, it led to arbitrary precision in measurement of feature; in reasonable test case using the methods proposed, a reasonable and consistent maximum error of around 0.3% the length of a pixel was achieved and in practice using pixels that were 700nm in size feature position was located to within ± 2 nm. Robust applicability is demonstrated by the measurement of indicator position for a King model 2-32-G-042 rotameter.
ContributorsMunroe, Michael R (Author) / Phelan, Patrick (Thesis advisor) / Kostelich, Eric (Committee member) / Mahalov, Alex (Committee member) / Arizona State University (Publisher)
Created2012
Description
Introduction/Purpose: the purpose of this study was to explore the perception of care after stillbirth and the use of physical activity and/or mindful approaches (e.g., yoga) to cope with grief in women of racial/ethnic minority who have experienced stillbirth.
Methods: This was an exploratory qualitative research study. Participants were African American, Hispanic, Asian, and American Indian women, between the ages of 26 and 38, who have experienced stillbirth within the past 3 years. Participants completed a 20-30 minute phone interview.
Results: Fourteen women participated in the study (M age = 31.02 ± 5.97 years; M time since stillbirth = 1.47 ± 0.94 years). Women’s perceptions about physical activity and mindfulness to cope with grief were coded into the following major themes: perception of health care after stillbirth (satisfaction with the level of care provided), recommendations about inter-conception health care from physician (relating to mental, emotional, and physical health), grief (comfort with communicating with the physician), coping mechanisms, perception of the relationship between physical activity and mood, barriers to participating in physical activity (social and behavioral), pre-pregnancy physical activity, and perception of mindful approach (e.g., yoga) as a coping mechanism.
Conclusion: This was the first study to explore perceptions of health care and the use of physical activity and/or mindful approaches (e.g., yoga) to cope with grief after stillbirth in women of racial/ethnic minority. Findings from this study may help inform health care professionals alter their care practices and introduce physical activity and mindfulness based approaches as coping mechanisms to mothers of stillborn babies.
Methods: This was an exploratory qualitative research study. Participants were African American, Hispanic, Asian, and American Indian women, between the ages of 26 and 38, who have experienced stillbirth within the past 3 years. Participants completed a 20-30 minute phone interview.
Results: Fourteen women participated in the study (M age = 31.02 ± 5.97 years; M time since stillbirth = 1.47 ± 0.94 years). Women’s perceptions about physical activity and mindfulness to cope with grief were coded into the following major themes: perception of health care after stillbirth (satisfaction with the level of care provided), recommendations about inter-conception health care from physician (relating to mental, emotional, and physical health), grief (comfort with communicating with the physician), coping mechanisms, perception of the relationship between physical activity and mood, barriers to participating in physical activity (social and behavioral), pre-pregnancy physical activity, and perception of mindful approach (e.g., yoga) as a coping mechanism.
Conclusion: This was the first study to explore perceptions of health care and the use of physical activity and/or mindful approaches (e.g., yoga) to cope with grief after stillbirth in women of racial/ethnic minority. Findings from this study may help inform health care professionals alter their care practices and introduce physical activity and mindfulness based approaches as coping mechanisms to mothers of stillborn babies.
ContributorsArvayo, Jordan Michelle (Author) / Huberty, Jennifer (Thesis director) / Hoffner, Kristin (Committee member) / Barrett, The Honors College (Contributor) / School of Nutrition and Health Promotion (Contributor)
Created2015-05
Description
This study examined the effect of an 8-week exercise intervention on functional exercise capacity in adolescents with Down syndrome (DS). Forty participants were randomly assigned to one of three groups: assisted cycling (ACT) (n = 17) where participants experienced at least a 35% increase in their voluntary cycling speed through the use of a motor, voluntary cycling (VC) (n = 15) where participants cycled at a self-selected cadence, and no cycling (NC) (n = 8) where participants did not participate in any cycling intervention. In each cycling intervention, each participant completed three, 30 minute cycling sessions per week for a total of eight weeks. The Six-Minute Walk Test (6MWT) was administered prior to and after the 8-week intervention in pre-test and post-test assessment sessions, respectively. Our hypothesis was somewhat supported in that functional exercise capacity improved after ACT as measured by an increase in total number of laps walked, total distance walked, and average walking speed during the 6MWT, when compared to VC or NC.
ContributorsCook, Megan Rey (Author) / Ringenbach, Shannon (Thesis director) / Huberty, Jennifer (Committee member) / Barrett, The Honors College (Contributor) / School of Nutrition and Health Promotion (Contributor)
Created2015-05
Description
Objective: Fewer than 50% of female college freshmen meet physical activity (PA) guidelines. Innovative approaches that help college women increase their PA are warranted. The study purpose was to pilot test a magazine-based discussion group for improving PA, self-worth, and nutrition behaviors in freshmen college females. Method: Thirty-seven women (18-20 years) were randomized to intervention (n=17) and control (n=20) groups. The intervention group participated in an 8-week magazine-based discussion group adapted from a previously tested social cognitive theory based intervention, Fit Minded. Excerpts from a popular women's health magazine were discussed during weekly meetings incorporating PA, self-worth and nutrition education. The control group did not attend meetings, but received the magazines. Outcomes and feasibility measures included: self-reported PA, general self-worth, knowledge self-worth, self-efficacy, social support, and daily fruits, vegetables, junk food, sugar-sweetened beverage consumption. Results: Twelve participants from the intervention group attended more than 75% of meetings. A time effect was observed for PA (p=0.001) and family social support (p=0.002). Time x group effects were observed for PA (p=0.001), general self-worth (p=0.04), knowledge self-worth (p=0.03), and daily sugar-sweetened beverage consumption (p=0.03), with the intervention group reporting greater increases in PA, general self-worth and knowledge self-worth and greater decreases in daily sugar-sweetened beverage consumption. Although not significant, the intervention group demonstrated positive trends in self-efficacy, friend social support and fruit and veggie consumption as compared to the control group. Conclusion: A magazine-based discussion group may provide a promising platform to improve PA, self-worth and nutrition behaviors in female college freshmen.
ContributorsPellitteri, Katelyn (Author) / Huberty, Jennifer (Thesis director) / Bruening, Meg (Committee member) / Barrett, The Honors College (Contributor) / T. Denny Sanford School of Social and Family Dynamics (Contributor) / School of Social Transformation (Contributor) / Sandra Day O'Connor College of Law (Contributor)
Created2014-05
Description
Background
The purpose of this study is to determine the feasibility of three widely used wearable sensors in research settings for 24 h monitoring of sleep, sedentary, and active behaviors in middle-aged women.
Methods
Participants were 21 inactive, overweight (M Body Mass Index (BMI) = 29.27 ± 7.43) women, 30 to 64 years (M = 45.31 ± 9.67). Women were instructed to wear each sensor on the non-dominant hip (ActiGraph GT3X+), wrist (GENEActiv), or upper arm (BodyMedia SenseWear Mini) for 24 h/day and record daily wake and bed times for one week over the course of three consecutive weeks. Women received feedback about their daily physical activity and sleep behaviors. Feasibility (i.e., acceptability and demand) was measured using surveys, interviews, and wear time.
Results
Women felt the GENEActiv (94.7 %) and SenseWear Mini (90.0 %) were easier to wear and preferred the placement (68.4, 80 % respectively) as compared to the ActiGraph (42.9, 47.6 % respectively). Mean wear time on valid days was similar across sensors (ActiGraph: M = 918.8 ± 115.0 min; GENEActiv: M = 949.3 ± 86.6; SenseWear: M = 928.0 ± 101.8) and well above other studies using wake time only protocols. Informational feedback was the biggest motivator, while appearance, comfort, and inconvenience were the biggest barriers to wearing sensors. Wear time was valid on 93.9 % (ActiGraph), 100 % (GENEActiv), and 95.2 % (SenseWear) of eligible days. 61.9, 95.2, and 71.4 % of participants had seven valid days of data for the ActiGraph, GENEActiv, and SenseWear, respectively.
Conclusion
Twenty-four hour monitoring over seven consecutive days is a feasible approach in middle-aged women. Researchers should consider participant acceptability and demand, in addition to validity and reliability, when choosing a wearable sensor. More research is needed across populations and study designs.
The purpose of this study is to determine the feasibility of three widely used wearable sensors in research settings for 24 h monitoring of sleep, sedentary, and active behaviors in middle-aged women.
Methods
Participants were 21 inactive, overweight (M Body Mass Index (BMI) = 29.27 ± 7.43) women, 30 to 64 years (M = 45.31 ± 9.67). Women were instructed to wear each sensor on the non-dominant hip (ActiGraph GT3X+), wrist (GENEActiv), or upper arm (BodyMedia SenseWear Mini) for 24 h/day and record daily wake and bed times for one week over the course of three consecutive weeks. Women received feedback about their daily physical activity and sleep behaviors. Feasibility (i.e., acceptability and demand) was measured using surveys, interviews, and wear time.
Results
Women felt the GENEActiv (94.7 %) and SenseWear Mini (90.0 %) were easier to wear and preferred the placement (68.4, 80 % respectively) as compared to the ActiGraph (42.9, 47.6 % respectively). Mean wear time on valid days was similar across sensors (ActiGraph: M = 918.8 ± 115.0 min; GENEActiv: M = 949.3 ± 86.6; SenseWear: M = 928.0 ± 101.8) and well above other studies using wake time only protocols. Informational feedback was the biggest motivator, while appearance, comfort, and inconvenience were the biggest barriers to wearing sensors. Wear time was valid on 93.9 % (ActiGraph), 100 % (GENEActiv), and 95.2 % (SenseWear) of eligible days. 61.9, 95.2, and 71.4 % of participants had seven valid days of data for the ActiGraph, GENEActiv, and SenseWear, respectively.
Conclusion
Twenty-four hour monitoring over seven consecutive days is a feasible approach in middle-aged women. Researchers should consider participant acceptability and demand, in addition to validity and reliability, when choosing a wearable sensor. More research is needed across populations and study designs.
ContributorsHuberty, Jennifer (Author) / Ehlers, Diane (Author) / Kurka, Jonathan (Author) / Ainsworth, Barbara (Author) / Buman, Matthew (Author) / College of Health Solutions (Contributor) / School of Nutrition and Health Promotion (Contributor)
Created2015-07-30
Description
The number of cancer survivors in the United States is growing rapidly and it is expected to double by 2040. Arizona is nationally ranked with the 14th highest number of survivors, many of which experience a wide range of persisting medical complications that result from the cancer and associated treatment. Consequently, there is an increased need for services tailored to the health and wellness of survivors. Studies have shown that exercise rehabilitation is effective in improving the physical and mental health of this patient population. This project aimed to investigate the status of medically-based exercise rehabilitation for cancer survivors in Arizona. It focused on services offered by cancer treatment centers and cardiac rehabilitation clinics, with cardiac rehabilitation providing a possible delivery method for future cancer exercise rehabilitation. A directory of resources was compiled based on responses to structured telephone interviews with the cancer treatment centers (n=32) and cardiac rehabilitation clinics (n=34) within the state. The directory will serve as a resource for both patients and clinicians by identifying statewide related services that are available at the medical institutions and within the community. Results showed that 42.9% and 39.4% of the cancer treatment centers and cardiac rehabilitation clinics, respectively, offered exercise related services for cancer survivors. 78.6% of cancer centers stated that they refer cancer survivors to physical therapy, while only 35.7% refer survivors to community-based programs. Only 2 cardiac rehabilitation clinics, or 6%, offered preventative cardiology exercise consultations to cancer survivors. In conclusion, rehabilitative exercise resources for cancer survivors in Arizona were limited. Additional cancer rehabilitation efficacy studies are needed to further clarify evidence-based practice guidelines and provide direction for optimal methods of healthcare delivery. It is recommended that this directory remains current with routine updates in an effort to increase patient accessibility to care.
ContributorsHitt, Ellen (Author) / Scales, Robert (Thesis director) / Huberty, Jennifer (Committee member) / School of Life Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2019-12
Description
Background:
The positive impacts of yoga on stress, pain, and chronic disease has recently led to the integration of yoga as part of physical therapy (PT) treatment. Due to the lack of training for PTs related to yoga, there is currently a need to provide knowledge and education about how to safely and easily implement therapeutic yoga (TY) as a complementary treatment approach.
Objective:
The purpose of this study was to assess the readiness of PTs (those who do not currently prescribe TY to patients) to integrate TY into treatment, and secondly, the feasibility (i.e., acceptability, demand, and practicality) of a 5-week online TY training to improve the readiness of PT’s to utilize TY in their practice.
Methods:
Licensed Physical Therapist’s (n=103) were recruited nationally through social media and email. Eligible and consented participants were asked to register in a 5-week online TY training course, Readiness for Integrating Yoga Therapeutics into Rehabilitation for PTs (intervention). PTs perceptions of TY and the role of safety and confidence in prescribing TY to patients were measured at baseline and post-intervention using a customized survey. Feasibility outcomes were measured after completion of the 5-week online training course with a survey. Feasibility was measured with acceptability, demand, and practicality. Our benchmarks included: (1) at least 70% of PTs would find the course acceptable, (2) at least 60% would finish the course (i.e., demand) and (3) there would be significant improvements in PTs perceptions of TY.
Results:
A total of 95 licensed PTs registered in the 5-week online TY training course, with 60 PTs (63%) completing the intervention and surveys. Of the PTs who completed the 5-week online training course, most PTs felt they were not ready (n=19/60, 31.7%) or somewhat ready (n=25/60, 41.7%) to integrate TY prior to taking the online training. Over half of PTs thought the online training was acceptable (n= 50/60, 83.3%) and finished the course (n=60/95, 63%). There were significant improvements in personal readiness to prescribe TY, safety prescribing TY, confidence to prescribe TY, current understanding/knowledge of TY and feeling adequately trained and educated to use some form of TY techniques with patients.
Conclusion:
Findings suggest a 5-week online TY training course is feasible in improving PTs readiness to prescribe TY, safety prescribing TY, confidence to prescribe TY, current understanding/knowledge of TY and feeling adequately trained and educated to use some form of TY techniques with patients. Future studies are proposed to test the effectiveness of TY training and education opportunities with PTs to further advance the adoption of TY into PT practice.
The positive impacts of yoga on stress, pain, and chronic disease has recently led to the integration of yoga as part of physical therapy (PT) treatment. Due to the lack of training for PTs related to yoga, there is currently a need to provide knowledge and education about how to safely and easily implement therapeutic yoga (TY) as a complementary treatment approach.
Objective:
The purpose of this study was to assess the readiness of PTs (those who do not currently prescribe TY to patients) to integrate TY into treatment, and secondly, the feasibility (i.e., acceptability, demand, and practicality) of a 5-week online TY training to improve the readiness of PT’s to utilize TY in their practice.
Methods:
Licensed Physical Therapist’s (n=103) were recruited nationally through social media and email. Eligible and consented participants were asked to register in a 5-week online TY training course, Readiness for Integrating Yoga Therapeutics into Rehabilitation for PTs (intervention). PTs perceptions of TY and the role of safety and confidence in prescribing TY to patients were measured at baseline and post-intervention using a customized survey. Feasibility outcomes were measured after completion of the 5-week online training course with a survey. Feasibility was measured with acceptability, demand, and practicality. Our benchmarks included: (1) at least 70% of PTs would find the course acceptable, (2) at least 60% would finish the course (i.e., demand) and (3) there would be significant improvements in PTs perceptions of TY.
Results:
A total of 95 licensed PTs registered in the 5-week online TY training course, with 60 PTs (63%) completing the intervention and surveys. Of the PTs who completed the 5-week online training course, most PTs felt they were not ready (n=19/60, 31.7%) or somewhat ready (n=25/60, 41.7%) to integrate TY prior to taking the online training. Over half of PTs thought the online training was acceptable (n= 50/60, 83.3%) and finished the course (n=60/95, 63%). There were significant improvements in personal readiness to prescribe TY, safety prescribing TY, confidence to prescribe TY, current understanding/knowledge of TY and feeling adequately trained and educated to use some form of TY techniques with patients.
Conclusion:
Findings suggest a 5-week online TY training course is feasible in improving PTs readiness to prescribe TY, safety prescribing TY, confidence to prescribe TY, current understanding/knowledge of TY and feeling adequately trained and educated to use some form of TY techniques with patients. Future studies are proposed to test the effectiveness of TY training and education opportunities with PTs to further advance the adoption of TY into PT practice.
ContributorsThompson, Abigail Ann (Co-author) / Thompson, Abigail (Co-author) / Huberty, Jennifer (Thesis director) / Taylor, Matthew (Committee member) / Ortiz, Alexis (Committee member) / College of Health Solutions (Contributor) / Barrett, The Honors College (Contributor)
Created2019-05
Description
Abstract Objective: The purpose of this study was to determine the feasibility (e.g., practicality and demand) of a 4-week series of yoga classes in a homeless shelter. Participants: Five current residents of Central Arizona Shelter Services (CASS) and the Chief of Programming at CASS. Methods: Each shelter resident participated in a 5-minute interview answering questions regarding the demand of implementing a yoga program at CASS. The Chief of Programming participated in a 30-minute interview answering questions regarding the practicality of implementing a 4-week series yoga program at the homeless shelter. Results: CASS residents reported a strong desire to attend a yoga program. The Chief of Programming at CASS reported that implementing a yoga program would conflict with the overall goal of the shelter. Conclusion: Implementing a 4-week series yoga program is not feasible at CASS although there is a strong demand for a yoga program among the homeless population of the Phoenix metro area.
ContributorsSamuels, Jasmyne Angelique (Author) / Hart, Teresa (Thesis director) / Huberty, Jennifer (Committee member) / Pearl, Julia (Committee member) / School of Nutrition and Health Promotion (Contributor) / Barrett, The Honors College (Contributor)
Created2016-12