3 papers
math.NA2026
An adaptive split-combine Gaussian mixture filter for nonlinear and multimodal state estimation
San Kim, Won Chang, Daniel B. Forger +1
Filtering combines model predictions with measurements to estimate the probability density function (PDF) of a system state over time. The PDF often becomes highly asymmetric and e…
math.NA2021
The asymmetric particle population density method for simulation of coupled noisy oscillators
Ningyuan Wang, Daniel B Forger
A wide variety of biological phenomena can be modeled by the collective activity of a population of individual units. A common strategy for simulating such a system, the population…
q-bio.NC2019
Seasonality and Light Phase-Resetting in the Mammalian Circadian Rhythm
Kevin M. Hannay, Daniel B. Forger, Victoria Booth
We study the impact of light on the mammalian circadian system using the theory of phase response curves. Using a recently developed ansatz we derive a low-dimensional macroscopic…