Minimal-area metrics on the Swiss cross and punctured torus

The closed string field theory minimal-area problem asks for the conformal metric of least area on a Riemann surface with the condition that all non-contractible closed curves have length at least 2\pi. Through every point in such a metric there is a geodesic that saturates the length condition, and saturating geodesics in a given homotopy class form a band. The extremal metric is unknown when bands of geodesics cross, as it happens for surfaces of non-zero genus. We use recently proposed convex programs to numerically find the minimal-area metric on the square torus with a square boundary, for various sizes of the boundary. For large enough boundary the problem is equivalent to the "Swiss cross" challenge posed by Strebel. We find that the metric is positively curved in the two-band region and flat in the single-band regions. For small boundary the metric develops a third band of geodesics wrapping around it, and has both regions of positive and negative curvature. This surface can be completed to provide the minimal-area metric on a once-punctured torus, representing a closed-string tadpole diagram.Comment: 59 pages, 41 figures. v2: Minor edits and reference update

Kalman-filter-based EEG source localization

This thesis uses the Kalman filter (KF) to solve the electroencephalographic (EEG) inverse problem to image its neuronal sources. Chapter 1 introduces EEG source localization and the KF and discusses how it can solve the inverse problem. Chapter 2 introduces an EEG inverse solution using a spatially whitened KF (SWKF) to reduce the computational burden. Likelihood maximization is used to fit spatially uniform neural model parameters to simulated and clinical EEGs. The SWKF accurately reconstructs source dynamics. Filter performance is analyzed by computing the innovations’ statistical properties and identifying spatial variations in performance that could be improved by use of spatially varying parameters. Chapter 3 investigates the SWKF via one-dimensional (1D) simulations. Motivated by Chapter 2, two model parameters are given Gaussian spatial profiles to better reflect brain dynamics. Constrained optimization ensures estimated parameters have clear biophysical interpretations. Inverse solutions are also computed using the optimal linear KF. Both filters produce accurate state estimates. Spatially varying parameters are correctly identified from datasets with transient dynamics, but estimates for driven datasets are degraded by the unmodeled drive term. Chapter 4 treats the whole-brain EEG inverse problem and applies features of the 1D simulations to the SWKF of Chapter 2. Spatially varying parameters are used to model spatial variation of the alpha rhythm. The simulated EEG here exhibits wave-like patterns and spatially varying dynamics. As in Chapter 3, optimization constrains model parameters to appropriate ranges. State estimation is again reliable for simulated and clinical EEG, although spatially varying parameters do not improve accuracy and parameter estimation is unreliable, with wave velocity underestimated. Contributing factors are identified and approaches to overcome them are discussed. Chapter 5 summarizes the main findings and outlines future work

Increased Cardiac Events with Use of Supplemental Oxygen Therapy for Adult Patients Suffering From Uncomplicated STEMIs

Background: Although providers have been using supplemental oxygen therapy in the treatment of myocardial infarction for over 100 years, there are currently no current guidelines established for the treatment of normoxic patients. Research has shown possible worsened outcomes for uncomplicated myocardial infarctions when oxygen is used; including worsened ischemic area and increased arrhythmias. The aim of this systematic review is to evaluate the research on whether or not supplemental oxygen therapy can cause increased cardiac events for patients presenting with an uncomplicated AMI. Methods: An exhaustive search of the literature was performed using MEDLINE-Ovid, Web of Science, and ClinicalKey. Key words included myocardial infarction, oxygen, and oximetry. Results: Out of the 16 relevant articles found, only two articles fit all inclusion and exclusion criteria. Both studies showed evidence of increase infarct size and cardiac arrhythmias with supplemental oxygen use in uncomplicated myocardial infarctions. The overall quality of evidence was found to be moderate. Further studies are needed to show the long-term morbidity and mortality. Conclusion: The use of supplemental oxygen in an uncomplicated AMI has been shown to cause an increase in infarct size as well as increased cardiac arrhythmias and recurrent myocardial infarcts. Although there is evidence to support short term worsened cardiac events, there are currently no studies for long-term morbidity and mortality. Further research is required to determine the long-term effects of oxygen supplementation for normoxic patients with acute myocardial infarctions

A stadium of hope: A rhetorical analysis of the Promise Keepers

The historical ebb and flow of the Men\u27s Christian Movement has been one of interest and concern to the American public. This concern surfaced once again with the popularity of the Promise Keepers organization. This paper focuses on the rhetorical discourse and strategies of the Promise Keepers organization from a social movement perspective. This study examines the evolutionary states through which social movements evolve; look at specific examples of the discourse to examine the persuasive appeals; and address the leadership tactics and character of Bill McCartney, founder of the Promise Keepers

Electrical and magnetic properties of the complete solid solution series between SrRuO3 and LaRhO3: Filling t2g versus tilting

A complete solid solution series between the t2g^4 perovskite ferromagnet SrRuO3 and the diamagnetic t2g^6 perovskite LaRhO3 has been prepared. The evolution with composition x in (SrRuO3)(1-x)(LaRhO3)(x) of the crystal structure and electrical and magnetic properties has been studied and is reported here. As x increases, the octahedral tilt angle gradually increases, along with the pseudocubic lattice parameter and unit cell volume. Electrical resistivity measurements reveal a compositionally driven metal to insulator transition between x = 0.1 and 0.2. Ferromagnetic ordering gives over to glassy magnetism for x > 0.3 and no magnetic ordering is found above 2 K for x > 0.5. M_sat and Theta_CW decrease with increasing x and remain constant after x = 0.5. The magnetism appears poised between localized and itinerant behavior, and becomes more localized with increasing x as evidenced by the evolution of the Rhodes-Wohlfarth ratio. mu_eff per Ru is equal to the quenched spin-only S value across the entire solid solution. Comparisons with Sr(1-x)Ca(x)RuO3 reinforce the important role of structural distortions in determining magnetic ground state. It is suggested that electrical transport and magnetic properties are not strongly coupled in this system

Deconvolving mutational patterns of poliovirus outbreaks reveals its intrinsic fitness landscape.

Vaccination has essentially eradicated poliovirus. Yet, its mutation rate is higher than that of viruses like HIV, for which no effective vaccine exists. To investigate this, we infer a fitness model for the poliovirus viral protein 1 (vp1), which successfully predicts in vitro fitness measurements. This is achieved by first developing a probabilistic model for the prevalence of vp1 sequences that enables us to isolate and remove data that are subject to strong vaccine-derived biases. The intrinsic fitness constraints derived for vp1, a capsid protein subject to antibody responses, are compared with those of analogous HIV proteins. We find that vp1 evolution is subject to tighter constraints, limiting its ability to evade vaccine-induced immune responses. Our analysis also indicates that circulating poliovirus strains in unimmunized populations serve as a reservoir that can seed outbreaks in spatio-temporally localized sub-optimally immunized populations