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Clara Bender

Publications and source records attributed to Clara Bender.

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Peak-Nadir Encoding for Efficient CGM Data Compression and High-Fidelity Reconstruction

Aim/background: Continuous glucose monitoring (CGM) generates dense time-series data, posing challenges for efficient storage, transmission, and analysis. This study evaluates novel encoding strategies that reduce CGM profiles to a compact set of landmark points while maintaining fidelity in reconstructed signals and derived glycemic metrics. Methods: We utilized two complementary CGM datasets, synthetic data generated via a Conditional Generative Adversarial Network (CGAN) and real-world measurements from a randomized crossover trial, to develop and validate three encoding approaches: (1) Peaks & Nadirs (PN), (2) Peaks, Nadirs, and Support Points (PN+), and (3) Uniform Downsampling. Each method compresses CGM profiles by selecting key timestamps and glucose values, followed by signal reconstruction via interpolation. Performance was assessed using compression ratio, mean absolute error (MAE), and R^2 between original and reconstructed clinically relevant CGM-derived metrics. Statistical analyses evaluated the preservation of clinically relevant glucose features. Results: Across varying compression settings, PN+ consistently outperformed PN and downsampling, achieving the highest R^2 and lowest MAE. At a compression ratio of 13 (22 landmark points per 24-hour profile), PN+ reduced MAE by a factor of 3.6 compared to downsampling (0.77 vs. 2.75), with notable improvements in metrics sensitive to glucose excursions. Encoding and decoding required an average of 0.13 seconds per profile. Validation on real-world data confirmed these trends. Conclusions: The proposed PN+ method produces a compact CGM representation that retains critical glycemic dynamics while discarding redundant portions of the profiles. The CGM signal can be reconstructed with high precision from the encoding representation.

q-bio.QM

A simplified drift-diffusion model for pandemic propagation

Predicting Pandemic evolution involves complex modeling challenges, often requiring detailed discrete mathematics executed on large volumes of epidemiological data. Differential equations have the advantage of offering smooth, well-behaved solutions that try to capture overall predictive trends and averages. We further simplify one of those equations, the SIR model, by offering quasi-analytical solutions and fitting functions that agree well with the numerics, as well as COVID-19 data across a few countries. The equations provide an elegant way to visualize the evolution, by mapping onto the dynamics of an overdamped classical particle moving in the SIR configuration space, drifting down gradient of a potential whose shape is set by the model and parameters in hand. We discuss potential sources of errors in our analysis and their growth over time, and map those uncertainties into a diffusive jitter that tends to push the particle away from its minimum. The combined physical understanding and analytical expressions offered by such an intuitive drift-diffusion model could be particularly useful in making policy decisions going forward.

physics.bio-ph