3 papers
q-bio.NC2026
Numerical Twin with Two Dimensional Ornstein--Uhlenbeck Processes of Transient Oscillations in EEG signal
P. O. Michel, C. Sun, S. Jaffard +2
Stochastic burst-like oscillations are common in physiological signals, yet there are few compact generative models that capture their transient structure. We propose a numerical-t…
q-bio.NC2025
Modeling, Segmenting and Statistics of Transient Spindles via Two-Dimensional Ornstein-Uhlenbeck Dynamics
C. Sun, D. Fettahoglu, D. Holcman
We develop here a stochastic framework for modeling and segmenting transient spindle-like oscillatory bursts in electroencephalogram (EEG) signals. At the modeling level, individua…
cond-mat.soft2024
Voltage laws in nanodomains revealed by asymptotics and simulations of electro-diffusion equations
Frédéric Paquin-Lefebvre, Alejandro Barea Moreno, David Holcman
Characterizing the local voltage distribution within nanophysiological domains, driven by ionic currents through membrane channels, is crucial for studying cellular activity in mod…