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On Serreʼs conjecture over imaginary quadratic fields

We study an analog of Serre?s conjecture over imaginary quadratic fields. In particular, we ask whether the weight recipe of Buzzard, Diamond and Jarvis will hold in this setting. Using a program written by the author, we provide computational evidence that this is in fact the case. In order to justify the method used in the program, we prove that a modular symbols method will work for arbitrary weights over imaginary quadratic fields.     

Investigation of Factors Affecting Controlled Release from Photosensitive DMPC and DSPC Liposomes

An investigation of liposomes comprised of 1,2-dimyristoyl-sn-glycero-3-phosphocholine (DMPC) or 1,2-distearoyl-sn-glycero-3-phosphocholine (DSPC) lipids with cholesterol and zinc phthalocyanine (ZnPC) revealed that several fundamental liposome properties are influenced by composition and by lipid-specific features. DMPC and DSPC liposomes were synthesized, and their compositional changes, encapsulation capacities, morphologies, and release properties were evaluated. In this research, liposome degradation, lysis, and content release were initiated by photolysis, i.e., rupture induced by exposure to light. A controlled release mechanism was created through the introduction of photosensitizers (i.e., ZnPC) embedded within the cholesterol-stabilized liposome membrane. The light wavelength and light exposure time accelerated photodegradation properties of DMPC liposomes compared to DSPC liposomes, which exhibited a slower release rate. Morphological changes in the liposomes were strongly influenced by light wavelength and light exposure time. For both the DMPC and DSPC liposomes, visible light with wavelengths in the red end of the spectrum and broad spectrum ambient lighting (400?C700?nm) were more effective for lysis than UV-A light (365?nm). Heating liposomes to 100?°C decreased the stability of liposomes compared to liposomes kept at room temperatures. In addition, the optimal lipid-to-cholesterol-to-photoactivator ratio that produced the most stable liposomes was determined.     

An Exponential Growth Learning Trajectory: Students’ Emerging Understanding of Exponential Growth Through Covariation

This article presents an Exponential Growth Learning Trajectory (EGLT), a trajectory identifying and characterizing middle grade students’ initial and developing understanding of exponential growth as a result of an instructional emphasis on covariation. The EGLT explicates students’ thinking and learning over time in relation to a set of tasks and activities developed to engender a view of exponential growth as a relation between two continuously covarying quantities. Developed out of two teaching experiments with early adolescents, the EGLT identifies three major stages of students’ conceptual development: prefunctional reasoning, the covariation view, and the correspondence view. The learning trajectory is presented along with three individual students’ progressions through the trajectory as a way to illustrate the variation present in how the participants made sense of ideas about exponential growth.     

Synthesis of unsymmetrical sulfamides and polysulfamides via SuFEx click chemistry

As hydrogen-bond donors and acceptors, N,N′-disubstituted sulfamides have been used in a range of applications from medicinal chemistry to anion-binding catalysis. However, compared to ureas or thioureas, the utilization of this unique moiety remains marginal, in part because of a lack of general synthetic methods to access unsymmetrical sulfamides. Specifically, polysulfamides are a virtually unknown type of polymer despite their potential utility in non-covalent dynamic networks, an intense area of research in materials science. We report herein a practical and efficient process to prepare unsymmetrical sulfamides via Sulfur(vi)-Fluoride Exchange (SuFEx) click chemistry. This process was then applied to synthesize polysulfamides. Thermal analysis showed that this family of polymers possess high thermal stability and tunable glass transition temperatures. Finally, hydrolysis studies indicated that aromatic polysulfamides could be recycled back to their constituting monomers at the end of their life cycle.

A general, practical, and efficient synthesis of N,N′-disubstituted sulfamides has been developed and applied to the preparation of polysulfamides, a virtually unknown class of polymers.     

The vocal athlete and endotracheal intubation: A management protocol

Endotracheal intubation is associated with significant laryngeal sequelaethat range in severity from mild hoarseness to life-threatening tracheal stenosis. Although the most severe trauma appears to be related to prolonged intubation, even short-term intubation (< 1 day) can adversely affect laryngeal and vocal function. Concern is warranted for all intubated patients, but particularly for the vocal athlete whose livelihood and identity depend on optimal vocal function. It is proposed that the vocal athlete faced with endotracheal intubation risk warrants careful multidisciplinary management. A number of intubation risk factors have been identified in the literature; however, clinical management of vocal athletes who undergo intubation has not been addressed. In medical settings where adverse intubation outcomes can lead to litigation, this clinical management protocol is expected to improve the probability of favorable voice outcome following endotracheal intubation.     

Insights into scanning probe high-field chemistry of diphenylgermane

Experiments and simulations are used to elucidate a new class of chemical reactions occurring near the tip-sample interface during high field chemistry of diphenylgermane. Current data during writing and bias dependent growth rate are analyzed, supplemented with data from ionization mass spectrometry, and compared with the simulation results.     

Detection of Liposome Lysis Utilizing an Enzyme–Substrate System

A novel optical reporter system was developed to verify encapsulation and subsequent release of a foreign molecule in liposomes. The protocol utilizes a single enzyme and substrate. We encapsulate o-nitrophenyl-β,d-galactopyranoside (ONPG) and measure its release by detecting the levels of o-nitrophenol created when the encapsulated ONPG is released and hydrolyzed by β-galactosidase. Using this method, liposome formation and subsequent lysis with Triton X-100 were verified. This new protocol eliminates the complications of multiple reaction enzyme detection methods, along with the chance for false negatives and unreliable data seen when using fluorescent particles as reporters.