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- All Subjects: Cancer
Description
Glioblastoma multiforme (GBM) is a malignant, aggressive and infiltrative cancer of the central nervous system with a median survival of 14.6 months with standard care. Diagnosis of GBM is made using medical imaging such as magnetic resonance imaging (MRI) or computed tomography (CT). Treatment is informed by medical images and includes chemotherapy, radiation therapy, and surgical removal if the tumor is surgically accessible. Treatment seldom results in a significant increase in longevity, partly due to the lack of precise information regarding tumor size and location. This lack of information arises from the physical limitations of MR and CT imaging coupled with the diffusive nature of glioblastoma tumors. GBM tumor cells can migrate far beyond the visible boundaries of the tumor and will result in a recurring tumor if not killed or removed. Since medical images are the only readily available information about the tumor, we aim to improve mathematical models of tumor growth to better estimate the missing information. Particularly, we investigate the effect of random variation in tumor cell behavior (anisotropy) using stochastic parameterizations of an established proliferation-diffusion model of tumor growth. To evaluate the performance of our mathematical model, we use MR images from an animal model consisting of Murine GL261 tumors implanted in immunocompetent mice, which provides consistency in tumor initiation and location, immune response, genetic variation, and treatment. Compared to non-stochastic simulations, stochastic simulations showed improved volume accuracy when proliferation variability was high, but diffusion variability was found to only marginally affect tumor volume estimates. Neither proliferation nor diffusion variability significantly affected the spatial distribution accuracy of the simulations. While certain cases of stochastic parameterizations improved volume accuracy, they failed to significantly improve simulation accuracy overall. Both the non-stochastic and stochastic simulations failed to achieve over 75% spatial distribution accuracy, suggesting that the underlying structure of the model fails to capture one or more biological processes that affect tumor growth. Two biological features that are candidates for further investigation are angiogenesis and anisotropy resulting from differences between white and gray matter. Time-dependent proliferation and diffusion terms could be introduced to model angiogenesis, and diffusion weighed imaging (DTI) could be used to differentiate between white and gray matter, which might allow for improved estimates brain anisotropy.
ContributorsAnderies, Barrett James (Author) / Kostelich, Eric (Thesis director) / Kuang, Yang (Committee member) / Stepien, Tracy (Committee member) / Harrington Bioengineering Program (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2016-05
Description
Rainbow Connection is an integrated choir with members on and off the autism spectrum. It was founded in the spring of 2012 by Barrett students Ali Friedman, Megan Howell, and Victoria Gilman as part of an honors thesis creative project. Rainbow Connection uses the rehearsal process and other creative endeavors to foster natural relationship building across social gaps. A process-oriented choir, Rainbow Connection's main goals concern the connections made throughout the experience rather than the final musical product. The authors believe that individual, non-hierarchical relationships are the keys to breaking down systemized gaps between identity groups and that music is an ideal facilitator for fostering such relationships. Rainbow Connection operates under the premise that, like colors in a rainbow, choir members create something beautiful not by melding into one homogenous group, but by collaboratively showcasing their individual gifts. This paper will highlight the basic premise and structure of Rainbow Connection, outline the process of enacting the choir, and describe the authors' personal reactions and takeaways from the project.
ContributorsFriedman, Alexandra (Co-author) / Gilman, Victoria (Co-author) / Howell, Megan (Co-author) / Rio, Robin (Thesis director) / Schildkret, David (Committee member) / Barrett, The Honors College (Contributor) / School of Music (Contributor) / School of Mathematical and Statistical Sciences (Contributor)
Created2014-12
Description
Independent artists are thriving in the modern music industry, creating and branding their own music, and developing rich concentrations of fans. Indie artists are progressively securing positions within mainstream music while also upholding individuality. With technology advancements, to include self-recording technology, wearable devices, and mobile operating systems, independent artists are able to extend their reach to a variety of audiences. Social media platforms' progression has further catalyzed artists' capability of growth, as they have the capacity to personalize marketing content, develop loyal fan-bases, and engage directly with potential consumers. Artists are increasingly fabricating their own unique spaces in an industry that was formerly controlled by conventions. This thesis involves the production of a three-song extended play, and ascertains how to effectively capitalize on the wide array of modern marketing platforms.
ContributorsBerk, Ruth C (Author) / Ostrom, Lonnie (Thesis director) / Schlacter, John (Committee member) / Barrett, The Honors College (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / Department of Supply Chain Management (Contributor)
Created2015-05
Description
Despite the 40-year war on cancer, very limited progress has been made in developing a cure for the disease. This failure has prompted the reevaluation of the causes and development of cancer. One resulting model, coined the atavistic model of cancer, posits that cancer is a default phenotype of the cells of multicellular organisms which arises when the cell is subjected to an unusual amount of stress. Since this default phenotype is similar across cell types and even organisms, it seems it must be an evolutionarily ancestral phenotype. We take a phylostratigraphical approach, but systematically add species divergence time data to estimate gene ages numerically and use these ages to investigate the ages of genes involved in cancer. We find that ancient disease-recessive cancer genes are significantly enriched for DNA repair and SOS activity, which seems to imply that a core component of cancer development is not the regulation of growth, but the regulation of mutation. Verification of this finding could drastically improve cancer treatment and prevention.
ContributorsOrr, Adam James (Author) / Davies, Paul (Thesis director) / Bussey, Kimberly (Committee member) / Barrett, The Honors College (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / Department of Chemistry and Biochemistry (Contributor) / School of Life Sciences (Contributor)
Created2015-05
Description
Magnetic resonance imaging (MRI) data of metastatic brain cancer patients at the Barrow Neurological Institute sparked interest in the radiology department due to the possibility that tumor size distributions might mimic a power law or an exponential distribution. In order to consider the question regarding the growth trends of metastatic brain tumors, this thesis analyzes the volume measurements of the tumor sizes from the BNI data and attempts to explain such size distributions through mathematical models. More specifically, a basic stochastic cellular automaton model is used and has three-dimensional results that show similar size distributions of those of the BNI data. Results of the models are investigated using the likelihood ratio test suggesting that, when the tumor volumes are measured based on assuming tumor sphericity, the tumor size distributions significantly mimic the power law over an exponential distribution.
ContributorsFreed, Rebecca (Co-author) / Snopko, Morgan (Co-author) / Kostelich, Eric (Thesis director) / Kuang, Yang (Committee member) / WPC Graduate Programs (Contributor) / School of Accountancy (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2018-12
Description
Glioblastoma Multiforme (GBM) is an aggressive and deadly form of brain cancer with a median survival time of about a year with treatment. Due to the aggressive nature of these tumors and the tendency of gliomas to follow white matter tracks in the brain, each tumor mass has a unique growth pattern. Consequently it is difficult for neurosurgeons to anticipate where the tumor will spread in the brain, making treatment planning difficult. Archival patient data including MRI scans depicting the progress of tumors have been helpful in developing a model to predict Glioblastoma proliferation, but limited scans per patient make the tumor growth rate difficult to determine. Furthermore, patient treatment between scan points can significantly compound the challenge of accurately predicting the tumor growth. A partnership with Barrow Neurological Institute has allowed murine studies to be conducted in order to closely observe tumor growth and potentially improve the current model to more closely resemble intermittent stages of GBM growth without treatment effects.
ContributorsSnyder, Lena Haley (Author) / Kostelich, Eric (Thesis director) / Frakes, David (Committee member) / Barrett, The Honors College (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / Harrington Bioengineering Program (Contributor)
Created2014-05
Description
This project is an arrangement of three movements from Igor Stravinsky's most famous and beloved ballets for performance by classical guitar quartet. The movements arranged were "Augurs of Spring" from The Rite of Spring (1913), "Russian Dance" from Petrouchka (1911), and "Infernal Dance of All Kastchei's Subjects" from The Firebird (1910). Because the appeal of this music is largely based on the exciting rhythms and interesting harmonies, these works translate from full orchestra to guitar quite well. The arrangement process involved studying both the orchestral scores and Stravinsky's own piano reductions. The sheet music for these arrangements is accompanied by a written document which explains arrangement decisions and provides performance notes. Select movements from Stravinsky for Guitar Quartet were performed at concerts in Tempe, Glendale, Flagstaff, and Tucson throughout April 2016. The suite was performed in its entirety in the Organ Hall at the ASU School of Music on April 26th 2016 at the Guitar Ensembles Concert as well as on April 27th 2016 at Katie Sample's senior recital. A recording of the April 27th performance accompanies the sheet music and arrangement/performance notes.
ContributorsSample, Katherine Elizabeth (Author) / Koonce, Frank (Thesis director) / Lake, Brendan (Committee member) / Herberger Institute for Design and the Arts (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / School of Music (Contributor) / Barrett, The Honors College (Contributor)
Created2016-05
Description
This expository thesis explores the financial health and actuarial analysis of a particular solution for those seeking stability and security in their golden years: the CCRC industry. A continuing care retirement community, or CCRC, is a comprehensive project and campus that offers its residents a full spectrum of care from independent living, to assisted living, to skilled nursing. After reading this paper, any person with no prior knowledge of a continuing care retirement community should gain a firm understanding of the background, risks and benefits, and legislative safeguards of this complex industry. Financially, a CCRC operates in some aspects similar to long-term care (LTC) insurance. However, CCRCs provide multiple levels of care operations while maintaining a pleasant, engaging community environment where seniors can have all their lifestyle needs met. The expensive and complex operations of a CCRC are not without risk: the industry has seen marked periods of bankruptcy followed by increasing and changing regulatory oversight. Thus, CCRCs require a periodic actuarial analysis and report, among array of other legislative safeguards against bankruptcy. A CCRC's insolvency or inability to meet its obligations can be catastrophic and inflict suffering and damages not only to its residents but also their friends and families. With seniors historically being one of the most vulnerable demographic groups, it is absolutely essential that an all-encompassing care facility continues to exist and fulfill its contractual promises by maintaining sound actuarial practices and financial health. This thesis, in addition to providing an exposition of the background and functions of the CCRC, describes the existing actuarial and financial studies and audits in practice to ensure sound governance and the quality of life of CCRC residents.
ContributorsTang, Julie (Author) / Milovanovic, Jelena (Thesis director) / Hassett, Matthew J. (Committee member) / School of Mathematical and Statistical Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2017-05
Description
This project is a small scale investigation of various factors concerning "Flow" in Piano Performance. "Flow" is the sweet spot where ability and challenge are about equal, and usually high (Csikszentmihalyi 1990). Piano performance is a state of playing the piano with some intent to perform. In this case, the intent is to create something new or improvise. Improvisation is one form of expressive creativity on the piano stemming from some knowledge and extrapolation upon that knowledge (Nachmanovitch 82). Creativity is essential to the development of new music, and though extensive literature exists on both creativity and music independently, there is a gap in research regarding links between the two (Macdonald et al. 2006). This project aims to address some of these gaps by working with piano players and non-musicians of various technical skill levels to examine the "Flow" state in improvisation as well as potential factors affecting creative performance. Factors such as listening, self-confidence, frustration in methodology, and meditation practices were found to correlate positively with technical skill. Participants who completed the practice program were able to reconstruct challenges and enter the "Flow" state in improvisation regardless of high or low technical scores.
ContributorsDorr, Alexander Nathan (Author) / Kaplan, Robert (Thesis director) / Parker, John (Committee member) / School of Mathematical and Statistical Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2016-05
Description
Over time, tumor treatment resistance inadvertently develops when androgen de-privation therapy (ADT) is applied to metastasized prostate cancer (PCa). To combat tumor resistance, while reducing the harsh side effects of hormone therapy, the clinician may opt to cyclically alternates the patient’s treatment on and off. This method,known as intermittent ADT, is an alternative to continuous ADT that improves the patient’s quality of life while testosterone levels recover between cycles. In this paper,we explore the response of intermittent ADT to metastasized prostate cancer by employing a previously clinical data validated mathematical model to new clinical data from patients undergoing Abiraterone therapy. This cell quota model, a system of ordinary differential equations constructed using Droop’s nutrient limiting theory, assumes the tumor comprises of castration-sensitive (CS) and castration-resistant (CR)cancer sub-populations. The two sub-populations rely on varying levels of intracellular androgen for growth, death and transformation. Due to the complexity of the model,we carry out sensitivity analyses to study the effect of certain parameters on their outputs, and to increase the identifiability of each patient’s unique parameter set. The model’s forecasting results show consistent accuracy for patients with sufficient data,which means the model could give useful information in practice, especially to decide whether an additional round of treatment would be effective.
ContributorsBennett, Justin Klark (Author) / Kuang, Yang (Thesis director) / Kostelich, Eric (Committee member) / Phan, Tin (Committee member) / School of Mathematical and Statistical Sciences (Contributor, Contributor) / Barrett, The Honors College (Contributor)
Created2021-05