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Jesse Elder

Publications and source records attributed to Jesse Elder.

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Collaborative estimation and evaluation of SARS-CoV-2 variant nowcasting in the United States

The ability to estimate and predict pathogen variant dynamics can inform public health responses, including planning for increased transmission or severity, shifts in population immunity, or changes to vaccine or therapeutic effectiveness. The COVID-19 pandemic demonstrated the importance of monitoring SARS-CoV-2 variant evolution through viral genome sequencing, enabling predictive models to estimate variant frequencies in the recent past, present, and short-term future. Collaborative forecasting Hubs provided a valuable way to centralize predictive modeling of epidemiological indicators such as cases, hospitalizations, and deaths during the pandemic; however, none existed for variant dynamics. Here, we discuss the creation of the United States SARS-CoV-2 Variant Nowcast Hub, designed to solicit estimates of the relative abundance of a specified set of SARS-CoV-2 variants at the U.S. state level. We discuss the design decisions and challenges in building the Hub and its scoring procedures. Using submissions from the Hub's first respiratory virus season (nowcast dates October 9th, 2024 to June 4th, 2025), we evaluate five individual models and a baseline model. We found that the baseline model, which pools sequences across the U.S., performs well overall, with most individual models performing similarly or slightly worse. Locations with lower sequencing volumes exhibited greater variability in model performance. Models submitted for a single location outperformed those submitted for all locations, potentially due to greater timeliness and magnitude of local data. Much remains to be investigated regarding relative model performance across different phases of variant emergence, and we conclude by proposing future directions within and beyond this Hub.

stat.AP

Series Solution for Interaction of Scalar Plane Wave with Spatially Decaying Gravitational Wave

In this paper we present the power series solution of the Klein-Gordon equation in the spacetime background of a gravitational wave with amplitude that decays with distance from the source. The resulting solution describes the interaction of a scalar plane wave travelling in an arbitrary direction relative to the direction of propagation of the gravitational wave. This solution has the unexpected property that as the scalar wave approaches collinearity with the gravitational wave there is a rapid transition in the form of the solution. The solution in the collinear limit exhibits a resonance phenomenon which distinguishes these results from previous analyses involving plane gravitational wave backgrounds. We discuss in detail the similarities and differences between the solutions for plane gravitational waves and gravitational waves with amplitude that decreases with distance from the source. We give an argument that this solution of the Klein-Gordon equation only describes the interaction of a gravitational wave with a scalar wave and that the gravitational wave will not produce a scalar waveform in a vacuum. The interaction between the gravitational and scalar waves lead to both sinusoidal time-dependent fluctuations in, and time-independent enhancement of, the scalar current in the direction of the gravitational wave. Finally, we discuss the possibility of observable effects of this interaction.

gr-qc