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    Determining How Biophysical Cues Regulate the Myofibroblast Differentiation of Corneal Keratocytes

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    Following traumatic injury or refractive surgery, corneal wound healing can initiate a fibrotic response which can lead to a decrease in ocular function. This fibrosis is due to, in part, the differentiation of quiescent corneal keratocytes into mechanically active myofibroblasts. Signaling downstream of transforming growth factor beta 1 (TGF-β1) has been shown to be a key regulator of this transformation. Myofibroblast differentiation is characterized by an increase is contractility and secretion of unorganized extracellular matrix (ECM) proteins, which can disrupt the organization of the stroma’s highly-aligned ECM structure and lead to corneal hazing. Past works have shown that ECM stiffness can modulate keratocyte behaviors; however, the biophysical cues that guide these changes are still unclear. Here, to better understand how ECM stiffness can modulate keratocyte behavior in response to TGF- β1, we fabricated soft (1 kPa) or stiff (10 kPa) polyacrylamide gels, functionalized with unpolymerized collagen I, to mimic normal or fibrotic corneal tissue. Harvested rabbit corneal keratocytes (NRKs) were then plated on these substrata or collagen-coated glass coverslips in the presence or absence of exogenous TGF-β1 with or without pharmacological inhibitors for either contractility (blebbistatin) or focal adhesion assembly (PF- 573228). After 5 days of culture, cells were fixed and stained for molecular markers of myofibroblast differentiation (α-SMA), contractility (pMLC), focal adhesion formation (vinculin), or TGF-β1 signaling (pSmad3). In other experiments, polystyrene microspheres were embedded within the gels to preform traction force microscopy (TFM). Results from these in vitro experiments show that when cultured in serum-free media regardless of substratum stiffness or the addition of inhibitors, NRKs exhibited morphologies characteristic of quiescent keratocytes, exerted low contractile forces with negligible levels myofibroblast differentiation, and focal adhesions were observed to be small, few and localized at the tips of cellular extensions. When NRKs were cultured in the presence of TGF-β1 without inhibitors, NRKs on stiff PA gels or collagen-coated glass coverslips displayed phenotypes typical of a myofibroblast differentiation: broad morphologies, increased numbers α-SMA-positive cells, increased contractility corresponding with large, abundant focal adhesions. On softer substrata, cells exhibited a more quiescent phenotype displaying long dendritic processes, less myofibroblast differentiation, decreased contractility and small focal adhesions localized at the tips of cellular extensions. The use of pharmacological inhibitors targeted the phosphorylation of non-muscle myosin light chain or focal adhesion kinase (FAK) significantly reduced stiffness-dependent differences in contractility and morphology. Treatment with FAK inhibitor also resulted in a significant decrease in myofibroblast differentiation and striking changes in subcellular patterning and size of focal adhesions. In other experiments, lamellar constructs were made by sandwiching FBS- or TGF-β1- treated NRKs between functionalized soft or stiff PA gels. In lamellar constructs of varying stiffness, FBS-induced fibroblasts remained viable and exerted relatively equal peak contractile stresses on both top and bottom substrates of varying stiffness. pSMAD3 nuclearization was observed in nearly all TGF-β1-treated NRKs cultured in the lamellar constructs regardless of ECM stiffness. Together, these data provide insight into the potential role of ECM stiffness on the myofibroblast differentiation of corneal keratocytes in response to TGF-β1 during wound healing

    Micro-earthquake Source Characterization With Full-wavefield Imaging, Uncertainty Analysis, and Deep-learning

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    Microseismic events are very weak earthquakes that occur at very small spatial scales, either natural or induced by man-made changes to the in-situ stress conditions of the earth’s interior. This induced seismicity or induced earthquakes can be used to monitor fluid and pressure fronts, characterize reservoirs (oil and gas, geothermal resource, CO2 storage, etc.), and help optimize production. However, if the increasing fluid pressure pushes a fault or fracture closer to failure, it can trigger larger and sometimes felt earthquakes. In this sense, correctly locating micro-earthquakes events in or near the reservoir help improve reservoir characterization and production recovery, and locating events near faults, especially in basement rocks, can help avoid triggering large felt earthquakes which may cause damage to infrastructure or people. In practice, observed arrival times of P and S wave phases are often used to locate the micro- earthquake sources and estimate the relative source origin times. For low signal-to-noise ratio microseismic data, or complex wave phenomena, phase picking can be inaccurate and ray- based methods may fail to focus seismic energy at the correct source location. In terms of source location uncertainty and resolution, how to reduce the uncertainty and enhance the resolution based on a certain kind of earthquake source location method and incorporating as much information as we can in the recorded waveforms is still an important research topic. In addition, extracting useful information from the continuously-recorded microseismic data and using these micro-earthquake events to characterize the subsurface fracture growth helps us to understand the mechanisms of induced seismicity. In this study, instead of using acoustic data or direct P wave arrivals only, I use elastic multicomponent data and present a new method that uses the full P and S adjoint wavefields to image the micro-earthquake source locations. I separate the P and S waves from the data, and extrapolate the P and S wavefields of each receiver subarray by solving the P and S adjoint wave equations in parallel. I formulate three source imaging conditions by multiplying over subarrays the adjoint P wavefield, S wavefield and cross-correlated P and S wavefields. I perform numerical experiments on the highly realistic SEG SEAM4D reservoir model using surface acquisition array geometries. I discuss the impacts of S-wave attenuation and frequency bandwidth on the source location images. I perform noise tests to mimic the surface monitoring data contaminated by ambient noise. I test the source imaging results using smoothed velocity models and provide 90% confidence ellipse of the source location due to Gaussian-distributed velocity model errors. Furthermore, I have developed a P- and PS-wavefront imaging method to estimate the source origin time sequentially, which overcomes the unknown variable of source origin time in Kirchhoff-type imaging and helps to reduce the location uncertainties originating from the source origin time. I also develop a 3D synthetic example by finite-difference modeling the realistic elastic 3C data using the SEG SEAM4D earth model, and jointly compare the reservoir and basement microearthquake source location uncertainties based on traveltime inversion, wavefront imaging and full wavefield imaging methods. For each method, we also investigate the source location uncertainties between the P- and PS-wave results. We compare the source location uncertainties from data noise and velocity scaling errors, as well as the computational costs based on different imaging methods. Finally, since many observed induced seismicity events have characteristics that are similar to natural earthquake events dominated by shear slip across a fault plane, it would be interesting to find out the evidence if a certain type of induced seismicity involves the direct interaction between the injected fluid and the fracture system through which the fluid flows. Based on a continuously-recorded real data set from a fluid injection project in Texas, I use a 7-layer U-Net autoencoder neural network (UANN) to observe and classify two distinct types of long-duration microseismic events which are frequency-drop long-duration (FDLD) events and low-frequency long-duration (LFLD) events. I perform Gaussian Mixture model clustering to label the event signals based on the latent feature vectors from the UANN. I discuss the potential causes and applications of LFLD events using proppant injection histories, cumulative seismic moments, and spatiotemporal evolution of microseismic event locations

    Ultrafast Charge Recombination Mechanism in Single 0D All-inorganic Perovskite Nanocrystals

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    Nanoscale semiconductors possess many attractive properties as compared to bulk counterparts. Main advantages are tunable energy levels, size-controlled carrier-carrier interactions and, often times, facile synthesis methods offering broad possibilities in optoelectronic applications. A rigorous understanding of the elemental physical properties in these nanos- tructures would provide deep insights for designing and improving the quality of materials. Among many spectroscopic detection methods, single particle spectroscopy is a powerful and sensitive tool for understanding interactions of multiple charge-carrier species in a wide range of materials, from bulk crystals down to individual nanoparticles . In this work, we study various types of so-called “0D” cesium-based perovskite nanocrystals, whose photo and environmental stability has been reported to exceed the conventional 3D perovskites nanocrystals. Due to specific, nearly complete isolation of halide octahedra in 0D structures, their optical properties bear strong resemblance to molecular-type defects, necessitating use of single particle detection methods. The following work concerns with perovskites’ ultrafast charge-carrier dynamics, stability and change of photoluminescence quantum yield (PLQY) inferred from single particle blinking signatures and modified by application of nanoscale alumina layers via the atomic layer deposition (ALD) encapsulation

    Spherically Symmetric Static Solutions in General Relativity

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    This thesis studies spherically symmetric static solutions in general relativity. The most general form of matter in general relativity compatible with staticity and spherical symmetry is anisotropic fluid. We study all possible algorithms that can generate all solutions of the anisotropic fluid system via quadrature using all possible pairs of the four basic functions of the system as input functions. We also study sub-algorithms that generate all solutions that are regular at the center and, for this, we revisit the conditions for central regularity for both isotropic and anisotropic systems and obtain all possible sets of equivalent initial conditions for regularity by combining the Einstein equations with the previouslyknown geometric conditions of regularity. Our study provides a reformulation of an existing algorithm for the system and provides its first regularity analysis. A surprisingly simple new algorithm for the anisotropic system follows from our study that aligns itself with the regularity conditions. This concordance enables us to find solutions that satisfy all the other hard-to-achieve conditions of physical acceptability. Anisotropy has increasingly been shown to be physically relevant in recent times. We keep the well-studied isotropic system as a special case and use it as a frame of reference for measuring the success of our study of the anisotropic system. We then study the hydrostatic equilibrium of static (an)isotropic fluid spheres. From the condition of hydrostatic equilibrium, we explore maps between (an)isotropic solutions with the same density profiles and develop solution-generating techniques to find new solutions from existing ones. We compare and give physical interpretations of several equilibrium configurations in terms of fluid variables and provide several examples where the solutiongenerating theorems can be utilized to find physically acceptable anisotropic solutions. This include a new exact solution that satisfies all physically desirable conditions. Finally, we study light propagation in Kottler, i.e., Schwarzschild-(anti-)de Sitter, spacetime. The metric of this spacetime is known in canonical coordinates and, unlike its Λ = 0 version (i.e, Schwarzschild metric), this metric was not known in isotropic coordinates (in which the constant-time hypersurfaces are flat). We obtain the Kottler metric in isotropic coordinates. This further enables us to plot the refractive indices of Kottler spacetime and show that the invariance of Snell’s law in ordinary geometric optics is analogous to projective equivalence in isotropic static coordinates. We conclude with a summary and some future directions

    Alpha-diimine Nickel (II) and Palladium (II) Complexes in Cross-coupling Reactions

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    Cross-couplings reactions are the most versatile synthetic tools and extensively applied for organic syntheses in the industrial production plants. Traditionally established cross-coupling reactions, including Suzuki–Miyaura, have been investigated over the last two decades because of synthetic applicability for manufacturing valuable functionalized building blocks in organic electronics, natural products, and drug discovery. Apart from Suzuki–Miyaura carbon-carbon cross-coupling, carbon-sulfur cross-coupling has been established as a potential synthetic method for synthesizing biologically and pharmaceutically active compounds. Remarkably, the introduction of heteroaromatics through carbon-sulfur cross-coupling added a new dimension to the pharmaceutical industries. Recently, direct arylation has gained much popularity for making πconjugated monomers and polymers through carbon-carbon bond formation that is an alternative tool to the Suzuki–Miyaura cross-coupling technique. Nonetheless, these useful synthetic procedures are facing enormous challenges arising from the catalytic systems. A significant portion of the catalysts employed in these cross-coupling reactions are air- and moisture-sensitive. Moreover, thermal instability is another drawback of implementing in elevated temperature. Notably, ligand design plays a crucial role in catalytic outcomes. The existing ligand design for the cross-coupling reactions lacks essential features, including steric and electronic requirements. Consequently, these shortcomings are subject to the poor catalytic performance that significantly hinders the industrial-scale application. In this dissertation, ligand design based on α-diimine frameworks is investigated in the Suzuki–Miyaura cross-coupling, carbon-sulfur cross-coupling, and direct arylation methods. Both nickel and palladium complexes with α-diimine cores were synthesized and applied to examine their potential scope in the cross-coupling reactions. Recent advances in the nickel and palladium-based catalytic systems in the cross-coupling reactions are described in chapter 1. In situ and well-defined nickel and palladium catalytic systems are discussed in this chapter. Moreover, existing challenges and possible solutions are also explained. Chapter 2 is designed to investigate the potential application of α-diimine-based nickel (II) and palladium (II) complexes in the Suzuki–Miyaura cross-coupling reaction. Notably, ligand design is extensively examined for making four different complexes by varying the ligand structure and metal center. Notably, a wide variety of substrates having challenging functional moieties are synthesized through carbon-carbon cross-coupling. Chapter 3 describes the synthesis and application of α-diimine-based nickel (II) and palladium (II) complexes in the carbon-sulfur cross-coupling. Both mono- and dinuclear complexes are synthesized and practiced for making aryl/alkyl sulfides. Mostly, pharmaceutically relevant heteroaryl moieties both from thiols and aryl halides are coupled. Chapter 4 is dedicated to examining the α-diimine-based nickel (II) and palladium (II) complexes in making valuable functionalized π-conjugated monomers through the direct arylation method. Mainly, five-membered heteroaromatics, including thiazole and thiophene derivatives, are applied with a wide variety of aryl halides. Moreover, the findings propose that α-diimine-based complexes can deliver direct arylation as an alternative technique to the carbon-carbon bond formation through Suzuki–Miyaura cross-coupling

    Beyond Tiebout: Towards a Theory of Philanthropic Engagement in Education in Local Communities

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    Philanthropy has been a central component of the American experiment since its inception, and philanthropic concern with education continues to be a central and accelerating theme among national and local philanthropies. Scholarly study of philanthropy in the context of education finance and student achievement is often limited to larger national foundations that attract public scrutiny, leaving a gap in understanding influential local philanthropic entities. This dissertation builds knowledge about local philanthropy by asking how philanthropic contributions influence school district budgets and student achievement, and how philanthropists approach their efforts to support and reform education. Through empirical analyses utilizing new data from the National Center for Education Statistics, and through structured interviews with philanthropists and philanthropic organizations who invest in education on a local scale, this dissertation finds that philanthropic contributions are correlated with financial “extras” and with long-term student achievement. Its core insight is the role of the relationship in mediating community consensus around educational needs, investment strategies, and accountability mechanisms, building towards a theory of how philanthropy engages in K-12 education at a local level

    Personnel Policies, Educator Labor Markets and Student Achievement

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    The dissertation consists of three chapters on the impacts of personnel policies on educator labor market outcomes and student achievements. The first two essays study effects on teachers and students of an educational reform which dramatically alter the way how educators are evaluated and compensated. These two papers introduce the integrated system which include two parts - Teachers Excellence Initiative (TEI) and Principal Excellence Initiative (PEI) - and which were introduced in the school year 2014-2015 and the school year 2012-2013, respectively. The system links educator’s compensation with their effectiveness to improve student academic proficiency. The goal of the school district is to bring highly effective teachers to every student to ensure their success in the schools. By applying the regression discontinuity design (RDD) and constructing the difference-in-discontinuities estimates, the first chapter finds that the lower salary increases the likelihood of teacher leaving the school district. Second, receiving a lower salary because of a lower rating shows a slightly positive effect on teacher’s subsequent performance. The second chapter uses the method of synthetic control analysis to show that the educator reforms have a significantly positive effect on grade 3 to 8 student math achievements. The last paper looks at the effectiveness of principals who are believed to be an important factor to both teacher workforce and student achievement. This chapter uses the administrative data across six states to examine both variations in principal effectiveness and the relationship between principial effectiveness and their pathways. It finds variation in principal effectiveness across states and that the prior administrative or teaching experience is not related to the principal effectiveness that is measured by the estimates of value-added

    Modeling and Analysis of Stochastic Base Flow Uncertainties in Wall-bounded Shear Flows

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    Spatially distributed dynamical systems arise in a variety of science and engineering problems and are typically described by Partial Integro-Differential (P(I)DEs) equations. Important examples of such systems include the wave equations, Maxwell equations, Burgers equations, Schrodinger equations, and the Navier-Stokes equations. An appropriate way to study and control such systems often involves the spatio-temporal analysis of linearized forms of these equations around base profiles, which either describe a steady-state solution or a long-time averaged mean of a simulation- or experiment-based field. In addition, deterministic or stochastic forcing is commonly used to compensate for the neglected nonlinear terms and evaluate the input-output features of the linearized dynamics. However, uncertainty in both the base profile and nature of the inputs challenge the effectiveness of linearized models for analysis and control design. Motivated by applications in the analysis and control of complex fluid flows, this thesis demonstrates how modeling sources of stochastic base flow uncertainty can enable physical discovery and statistical modeling of quantities of interest. We provide an input-output framework to analyze the effect of base flow perturbations on the stability and receptivity properties of transitional and turbulent channel flows. Such base flow variations are modeled as persistent white-in-time stochastic excitations that enter the linearized dynamics as multiplicative sources of uncertainty that can alter the stability of the linearized dynamics and their receptivity to exogenous excitation. We provide verifiable conditions for mean-square stability and study the frequency response of the flow subject to additive and multiplicative sources of uncertainty using the solution to the generalized Lyapunov equation. Our approach does not rely on costly stochastic simulations or adjointbased sensitivity analyses. We use our framework to uncover the Reynolds number scaling of critically destabilizing variance levels of the base flow uncertainty, study the reliability of numerically estimated mean velocity profiles in turbulent channel flows, and the robust performance of a typical boundary control strategy for turbulence suppression in the wake of parametric uncertainties. For small-amplitude base flow perturbations, we adopt a perturbation analysis to provide a computationally efficient method for computing the variance amplification of velocity fluctuations around the uncertain base. Moreover, we study the flow structures that are extracted from a modal decomposition of the resulting velocity covariance matrix at energetically dominant locations of wall-parallel wavenumbers. In the final part of this thesis, we use the developed input-output framework to evaluate the robust performance transverse lower-wall oscillations as a flow control strategy when oscillations are subject to imperfections in amplitude and phase. These imperfections, cause the nominally harmonic flow control strategy to resemble a random oscillatory pattern

    The Unique and Combined Impact of Mother and Child Temperamental Negative Reactivity on Mother-child Interactions: the Protective Role of Maternal Coping Strategies

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    The mother-child relationship can be influenced by individual characteristics of the mother and child. Negative reactivity, a dimension of temperament, has been shown to be highly heritable, yet research has only focused on the consequences of child negative reactivity. It is important to understand if levels of negative reactivity are associated with displays of negative behavior in mothers and their children, given these behaviors can be barriers to conflict resolution in familial relationships. Additionally, it is important to understand if maternal positive coping skills may act as a buffer between negative reactivity and negative behavior in mother-child interactions, as these skills could offer protective benefits to the relationship. In this dissertation, I had three principal aims. The first aim was to investigate if both maternal and child negative reactivity would individually and jointly contribute to observed negativity in a discussion of conflict and their associations with the type of resolution reached. The second aim was to investigate if positive maternal coping behaviors would act as a buffer between negative reactivity and observed negativity during a discussion of conflict. And lastly, the third aim was to identify distinct mother-child dyads based on the negative affectivity domain of temperament, and whether those dyad groupings had associations with observed negativity in the discussion of conflict as well as the resolution outcomes. Participants included 189 mother-child dyads, where the study child participant ranged in age between five and seven years old. Variable-centered analyses were used to test the first two aims of the study and did not reveal significant associations between mother or child negative reactivity and the observed negativity variables, outside of the initial bivariate correlations. A person-centered approach was the focus of the third aim and results revealed that there were two distinct mother-child negative reactivity profiles among the study participants: a group where mothers reported moderate levels of negative reactivity in themselves and slightly lower levels in their children (Moderate Mother/ Slightly Low Child Negative Reactivity) and a group where mothers reported higher levels of negative reactivity in themselves and slightly higher levels of negative reactivity in their children (High Mother/Slightly High Child Negative Reactivity). There were no significant associations between the dyadic reactivity groups and observed negativity in the conflict discussion. However, a main effect emerged for the racial or ethnic group of children in these groups and the resolution outcomes, where children that were identified as African American were more likely to have the resolution outcome be a “win/loss” in favor of the mother when compared to children identified as European American. Results are discussed in terms of temperament heritability and the usefulness of person-centered analyses in conjunction with traditional variable-centered approaches

    Investigating the Functional Impacts of Tetrel Bonding in the Reaction Mechanism of Methyltransferases and Screening of Peptidomimetic Inhibitors

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    While protein methyltransferases have important roles in many biological processes such as gene regulation and RNA processing, their dysregulation has been implicated in the progression of a number of diseases such as cancers and neurological conditions. These enzymes catalyze the methylation of lysine and arginine residues of target proteins using the cofactor and methyl donor, S-adenosyl methionine (SAM). A study of crystal structures of SAM-bound methyltransferases, along with computational studies using small molecule models, have revealed the presence of a type of non-covalent interaction termed a tetrel bond between the SAM methyl group and electron donating atoms of the target substrate. Since the tetrel-bonded complex in methyltransferase active site precedes the transition state in the SN2 methylation pathway, in this project it was hypothesized that methyltransferase active site promotes the formation of the tetrel-bonded complex, which is fundamental to the catalytic role of these enzymes. Using an optimized coupled fluorescent kinetic assay and site-directed mutagenesis to change a tyrosine residue to a phenylalanine in the active site of a model methyltransferase, SET7/9, a hydrogen bond which is believed to hold the tetrel- bonded complex in the correct orientation was removed, resulting in a 15-fold decrease in enzyme activity. Moreover, using this optimized fluorescence-based assay, ~80 peptidomimetic compounds were screened for inhibition of SET7/9, with the most potent compound, B21-2, having an IC50 value of 5.2 μM. Through understanding tetrel bonding and the use of lead compounds discovered, inhibitors may be designed to exploit unique interactions yielding potent and selective inhibitors for these enzymes

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