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    Lyapunov-Based Nonlinear Control Strategies for Manipulation of Particles and Biomolecules Using Optical Tweezers

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    Tweezers-based nanorobots, optical tweezers in particular, are renowned for their exceptional precision, and among their biomedical applications are cellular manipulation, unzipping DNAs, and elongating polypeptide chains. This thesis introduces a series of Lyapunov-based feedback control frameworks that address both stability and controlled instability for biological manipulation, applied within the context of optical tweezers. At the core of this work are novel controllers that stabilize or destabilize specific molecular configurations, enabling fine manipulation of particles like polystyrene beads and tethered polymers under focused laser beams. Chapter 1 covers the foundational principles and surveys existing literature on the modeling and control of optical tweezers, emphasizing gaps in the stability and instability control of molecular systems. Chapter 2 presents a robust Control Lyapunov Function (CLF) approach, designed to stabilize spherical particles under optical trapping. By formulating a smooth, norm-bounded feedback controller, we achieve lateral stabilization despite external disturbances, using a real-time, static nonlinear programming (NLP) solution. Simulations verify the effectiveness of this CLF framework, even with significant initial displacements from the laser focus and under thermal forces modeled as a white Gaussian noise. Chapter 3 addresses controlled instability through a Control Chetaev Function (CCF) framework, specifically targeting protein unfolding applications. Linearization with respect to the control input facilitates the application of destabilizing universal controls for affine- in-control system dynamics. The resulting CCF-based norm-bounded feedback controller induces system instability by laterally extending the trapped DNA handle, thereby increasing the molecular extension and providing insights into protein denaturation and unfolding pathways. This controller is robust to stochastic thermal forces and optimized for real-time computational efficiency. These Lyapunov and Chetaev-based control designs collectively expand the capabilities of optical tweezers, advancing single-molecule manipulation under both stable and unstable conditions. These findings advance precision nanomanipulation, opening new avenues for exploring the molecular mechanics of protein unfolding and DNA elasticity

    Heaven Imagined in Literature: Dante’s Paradiso Reimagined in the Works of C.S. Lewis and Olaf Stapledon

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    This dissertation will examine the reception and transformation of Dante’s Paradiso, meaning, the reception of the medieval imaginative vision of the Heavens by two modern artists, C.S. Lewis and Olaf Stapledon. In The Discarded Image, C.S. Lewis presents the medieval cosmological model to a modern audience as the “supreme medieval work of art,” the artistic backdrop and assumed context of Dante’s Comedy, particularly the Paradiso. In the Paradiso, Dante creatively reinterpreted both classical and medieval texts. Likewise, both Lewis and Stapledon were twentieth-century British artists and academics who reinterpreted Dante’s Paradiso within their own contemporary cosmic fictions. Both Lewis and Stapledon recaptured the medieval poetics of the cosmic narrative of the Heavens, the medieval mystic quest, and the theme of transfiguration in Dante’s Paradiso. However, morally and philosophically, Lewis’ and Stapledon’s literary transformations produced two very different outcomes. Lewis, attempted to recapture the emotional effect or the comedy of the medieval Heavens, and therefore challenged the reader’s expectations of the medieval Heavens and proposed by his experiment to try and recapture as much of the medieval imagination as possible. On the other hand, Stapledon completely transformed his reading of Dante, just as Dante transformed the classical works before him, and thereby produced a tragic reception of Dante’s Paradiso. And yet, although Stapledon does preserve Dante’s image of a direct encounter with the Divine, he instead presents an apathetic Creator, the complete reversal of Dante’s and Lewis’ depiction of the Divine as Love. Still, both Lewis and Stapledon wrote modern myths which aimed to recapture the medieval interior quest or the soul’s journey towards the Divine

    Noise: Waves on the Edge

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    Noise is a multipart multimedia experience utilizing live ambisonics, projection, lighting, and sculpture to disrupt the institution of traditional art and live production. This work will ask participants to interact with five sound sculptures that will evolve over the exhibition to showcase the participants and what they provide to the work. By taking simple sound principles and incorporating them into sculpture, it allows the audience to relate and interact with the everyday sound around them. During the exhibition, I will further the idea of everyday Noise by utilizing field recordings and electronics to create a live ambisonic performance around the audience

    Advanced Bearing Condition Monitoring for Electrical Machines

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    Effective condition monitoring of bearing faults in electrical machines is vital for ensuring industrial reliability and optimal performance. Bearings, as crucial components, facilitate the smooth operation of rotating machinery, such as motors, by supporting the rotor and maintaining a consistent air gap. Bearing faults, particularly distributed faults, are a major contributor to machinery failures. Timely detection and diagnosis of these faults are essential, as undetected issues can result in unplanned downtime, significant repair expenses, and, in severe cases, catastrophic equipment failure. Bearing faults generally emerge due to gradual wear and tear, with distributed faults triggered by factors such as insufficient lubrication, contamination, or electrical erosion. Unlike localized faults, which are confined to a specific area of the bearing and are more easily identified through conventional methods, distributed faults pose a greater challenge for detection. These faults affect multiple areas of the bearing simultaneously, creating complex and unpredictable patterns that complicate the diagnostic process. In industrial environments, where bearings are subjected to varying loads and speeds, the challenges of detecting distributed faults become even more pronounced. While traditional condition monitoring methods are effective for localized fault detection, they are less reliable for identifying distributed faults, particularly under variable operating conditions. These methods may fail to capture the subtle, widespread nature of distributed faults, making it difficult to ensure the longevity and reliability of electrical machines. Hence, there is an increasing demand for advanced condition monitoring techniques capable of more accurately detecting and diagnosing distributed bearing faults, thereby ensuring the performance and extending the operational lifespan of industrial machinery. This dissertation focuses on detecting and classifying common distributed bearing faults in industrial settings, specifically in low- and high-power motors, through the analysis of both electrical and mechanical signals. The research begins with an in-depth study of vibration signals under both healthy and faulty conditions, encompassing localized and distributed bearing faults. These distributed fault patterns were systematically generated in a controlled laboratory environment, allowing for a thorough analysis of vibration spectra. Particular attention is given to the characteristics of distributed faults, which result from random defects spread across the bearing surfaces. Additionally, specific formulae are introduced to detect vibration signal signatures associated with these faults. Deep learning architectures are subsequently proposed to detect and classify distributed bearing faults. This is achieved through fusion analysis, utilizing vibration signals, stray mag- netic flux signals, and motor current signals. For low-power motors, a real-time, low-resource algorithm designed for microcontrollers is developed using motor current data to identify the most prevalent bearing faults. The study examines distributed bearing faults caused by lubrication and contamination across seven low-power motors, tested under no-load and fan-load conditions at ten different speeds, with controlled bearing aging. Key time-domain features, such as Root Mean Square (RMS), peak values, and crest factors of motor current, are analyzed to develop the proposed algorithm. The algorithm is thoroughly evaluated in various experimental scenarios using the TI F280049 microcontroller and compared to a baseline machine learning model. It demonstrated significant efficiency, requiring five times fewer instruction cycles and half the memory resources compared to the standard machine learning model. Furthermore, an enhanced deep learning-based model is proposed for estimating the remaining useful life (RUL) of bearings in low-power electrical machines using motor current signal analysis. This model achieved a remarkable accuracy of 95%, underscoring its effectiveness in predicting bearing lifespan

    Antiblackness in Egyptian Cinema and Arab Premodern Textual Heritage

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    This dissertation explores the similarities between racial notions of Black people in premodern Arabic texts and in Egyptian cinema. For example, premodern texts described Black people as uncivilized, primitive, less human, and less intelligent, among other negative attitudes. Both early and modern Egyptian films have notable parallels with these premodern racial views, representing Black characters as second-class citizens, troublemakers, criminals, subordinate, unintelligent, and hypersexual. I examine portrayals in eight Egyptian films released from 1938 through 2012 and analyze how antiblackness has continued to appear on screen due to the legacy of slavery in the Arab world, racial ideologies in the region, sociopolitical challenges in Egypt, and a lack of deconstruction of these racial stereotypes at the academic level

    Synthesis and Bioactivity Evaluation of KDM4 Inhibitors in Prostate Cancer Cells

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    The need for alternative therapeutic targets has grown due to the stagnating progress of treatment for metastatic prostate cancer with activity independent of the androgen receptor. Inhibition of histone lysine demethylases belonging to the KDM4 subfamily are of significant interest due to their aberrant expression and role in castration-resistant prostate cancer. This dissertation presents the design, synthesis, and biochemical evaluation for a library of 8-hydroxyquinoline-based derivatives of B3, a KDM4 inhibitor that has previously demonstrated therapeutic potential. Motivated by the search for improved efficacy for KDM4 inhibition in prostate cancer, the first investigation highlights the structure-activity relationship discovered from modifying the phenylpropyl moiety of B3. Screening a comprehensive list of different chemical groups revealed several with improved inhibitor activity and stability. Continuing our search for improved efficacy, the second investigation explored augmentation of the benzamide moiety of B3 that led to the identification of a new lead inhibitor using 4-(3-methoxypropyl)morpholine. This modification to B3 led to the desired cytotoxicity to tumor viability during in vitro MTT assays and in vivo murine studies

    Causarum Cognitio: the Architecture, Collections, and Social Agency of Three American Athenaea: Redwood, Boston, and Caltech

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    Is the athenaeum an adaptable concept in the twenty-first century university environment? What evidence exists to conclude that it contributes to a discursive community? This dissertation explores the legacy of the concept of the athenaeum in America and examines the organically formed social circles who share an interest in continuing discourse, often within multiple disciplines, and who contribute to their communities by modeling habits and behaviors reflecting their desire for improvement of themselves and their communities. From before and since our nation’s founding, the societies of the American Athenaeum have served as community-organized intellectual and artistic hubs, providing access to information, pursuing thought-provoking discourse, and applying their aggregate knowledge resources as agency for social change while presenting the most inspirational architecture, lectures, artistic performances, and collections to their communities. I focus on the eighteenth century Redwood Library and Athenaeum of Newport, Rhode Island, the nineteenth century Boston Athenaeum, and the twentieth century Caltech Athenaeum. The newest of these, Caltech Athenaeum, has been in service over one hundred years, and the oldest, the Redwood Library and Athenaeum, has been in service to its community continuously over 300 years

    Risk-based Motion Planning and Control for Robotic Systems

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    A robot autonomy stack usually consists of several modules that enable it to perceive the environment and decide how to interact with it to achieve a desired task. At the heart of this stack are the motion planning and control modules. The motion planning module is generally responsible for decision making and generating a plan for the robot to follow, such as determining how an autonomous car should drive around pedestrians and other vehicles. The control module computes a finer sequence of control actions that can be issued to the actuators to operate the robot. One issue that plagues robot motion planning and control is the effect of uncertainty, of which there are different types, on the system. This includes unknown and unmodeled disturbances that affect the system such as noise, aerodynamics, or simplified dynamics models. However, addressing these uncertainties is non-trivial and often requires a trade-off between accounting for the uncertainty accurately and the tractability of solving the problems. This dissertation develops risk-based solutions for a few robot motion planning and control problems. The contributions of the dissertation are categorized into four main types. The first part addresses control design with complex spatio-temporal requirements under uncertainty. An optimization-based control algorithm is designed to guarantee the completion of the requirements when the robot dynamics are affected by process noise. The second part addresses sampling-based motion planning under uncertainty. RRT*, a famous motion planning algorithm in robotics, is considered and risk-aware variants of it are developed to account for process and measurement noise affecting the robotic system. The third part addresses a limitation of learning-based planning approaches with an application to multi-agent motion planning. A reinforcement learning (RL) framework is considered for learning policies then an optimization-based module, called a safety filter, is proposed to enforce collision avoidance as hard constraints, which learning algorithms cannot do. The safety filter is designed to handle process, state, and measurement noise. Finally, the fourth part addresses data-driven planning in dynamic and uncertain environments. This assumes that the robot has access to some future predictions of the obstacles in the environment, such as where they may be in the next few seconds. A safety filter is then developed using these sample predictions to plan a safe trajectory for the robot. In several sections, uncertainties whose distribution is unknown, which is generally the case, are considered and addressed using the concept of distributionally robust optimization (DRO) to develop solutions that guarantee safety or the successful completion of the task despite the lack of knowledge of the underlying distribution. Throughout, examples are provided to emphasize and clarify core concepts, and simulations and physical experiments are performed to demonstrate the efficacy of the developed solutions

    Global Characteristics of Large-scale Traveling Ionospheric Disturbances During Geomagnetic Storms

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    This dissertation presents an investigation of the vertical and longitudinal behavior of Large Scale Traveling Ionospheric Disturbances (LSTIDs). LSTIDs are an ionospheric signature of perturbations propagating in the neutral atmosphere which are generated, for example, due to the change in energy deposition rate within the auroral zone during a geomagnetic storm. Geomagnetic storms are natural phenomena that arise from the interaction between the solar wind and Earth’s magnetic field. Among the various disturbances occurring as a result of this interaction, LSTIDs have garnered significant attention in recent years due to their potential to disrupt communication and navigation systems. LSTIDs are wave-like perturbations in the ionosphere, a layer of Earth’s atmosphere where particles are largely ionized, which cause variations in plasma density, temperature, and drift velocity. The electron density perturbations in particular alter the index of refraction of the ionosphere, affecting the integrity of radio waves propagating through the region. The investigation of LSTIDs during geomagnetic storms is of paramount importance, as it offers insights into the behavior of the ionosphere under extreme conditions, and it may help mitigate potential technological vulnerabilities. The central objective is to comprehensively analyze the global distribution of these ionospheric disturbances and determine the impact of season, onset time, and the local time of geomagnetic storm onset on LSTID characteristics. To achieve this, a novel combination of the Global Ionosphere Thermosphere Model (GITM) and SAMI3 is Also a Model of the Ionosphere (SAMI3) is used to model LSTID behavior throughout a variety of synthetic geomagnetic storms. Geophysical indices are generated which represent a geomagnetic storm, allowing control of the exact date and time of storm onset. The response of ionosphere-thermosphere system to geomagnetic storms at solstices, equinoxes, and across several onset times are compared. This isolates the effect of the offset between the geographic and geomagnetic poles. Results focus on how the differing patterns of Joule heating influence the LSTIDs produced across the range of storms modeled. Additionally, the models facilitate the view of the full altitude range of the ionosphere (unlike most measurements which are attributed to a single altitude), simulating measurements in regions where ground-based measurements are not available (e.g. over the oceans), and allow the investigation into the time-evolution of satellite point-measurements. These models are used to illustrate how satellites (DMSP) density measurements can be used to characterize the behavior of LSTIDs where ground-based receivers cannot be placed. The validity of the analysis of simulated and in-situ data are shown from a selected geomagnetic storm. This research contributes to the broader field of aeronomy by advancing the understanding of the distribution of LSTIDs and will give insight into utilizing novel observational techniques to further the understanding of the behavior of LSTIDs

    The Topos of Unhomeliness: Representations of Home and Homeland in Chinese American and Tibetan Chinese Literature

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    This dissertation studies the representations of home and homeland in the literary works of some major writers in Chinese American and Tibetan Chinese literature. The chosen writers include Amy Tan, Frank Chin, Ha Jin, Yan Geling, Zhaxi Dawa, Alai, Pema Tseden, and Takbum Gyel. By examining their fictional and non-fictional works, this dissertation explores an interesting phenomenon: even as the writers are in their homes, they are (un)consciously haunted by a sense of homelessness, which has formed a major theme in their literary works. According to the current scholarship of Asian American and Tibetan Chinese literature, the anxiety over home for Chinese American and Tibetan Chinese writers comes from different sources. While for the former is rooted in their ancestral home, for the latter is derived from the loss of traditional home. This dissertation argues that the anxiety over home for both ethnic groups is much more complicated than it is recognized. For the Chinese American writers, the anxiety figures in literary representations of Tan’s disharmonious home, Chin’s estranged home, Ha Jin’s transitional homeland, and Yan’s dualistic homeland. In those representations, the home loses its homeliness in the conflict between the mother and daughter, the dispute between the father and son, the rootless movement from filiation to affiliation, and the fruitless search for an ideal home. For the chosen Tibetan Chinese authors, the anxiety is represented as Zhaxi Dawa’s hybrid homeland, Alai’s universal homeland, Pema Tseden’s incompatible home, and Takbum Gyel’s transitional homeland. In those writers’ works, the home loses its simplicity, uniqueness, harmony, and authenticity as a result of the hybridity of primitivity and modernity, the merge into modern history, the confrontation between tradition and modernity, and the transition from the old era to the new one. By analyzing the images of home and homeland in the two ethnic minority groups’ literature, the dissertation argues that the home plays different roles in the two group of writers’ writing careers. For Chinese American writers, it is like a haunting ghost, which stimulates both love and hate; for Tibetan Chinese writers, it is a changing muse, whose transformations make it difficult for them to show their love for it. The difference comes from the different nature of their identities and structures of feelings. Each group’s identity consists of two parts: one natural and the other national. The dominant variant and the recessive variant of their identities are opposite. The opposite determinants of the dominant and the recessive variants are responsible for different representations of home and homeland in the Chinese American and Tibetan Chinese writers’ works

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