Noise-driven transition to quasi-deterministic limit cycle dynamics in excitable systems
Cyrill B. Muratov, Eric Vanden-Eijnden, Weinan E
Abstract
The effect of small-amplitude noise on excitable systems with large time-scale separation is analyzed. It is found that small random perturbations of the fast excitatory variable result in the onset of a quasi-deterministic limit cycle behavior, absent without noise. The limit cycle is established at a critical value of the amplitude of the noise, and its period is nontrivially determined by the relationship between the noise amplitude and the time scale ratio. It is argued that this effect might provide a mechanism by which the function of biological systems operating in noisy environments can be robustly controlled by the level of the noise.
Create a lesson
Related papers
Automatic denoising and differentiation based on Savitzky-Golay filtering and Homogeneous Differentiators for attractor reconstruction via differential embedding
Uros Sutulovic, Daniele Proverbio, Rami Katz et al.
FlowLOT: Linearized Optimal Transport for Flow Cytometry Analysis
Naqib Sad Pathan, Mohammad Shifat-E-Rabbi, Kristofor E. Pas et al.
GIA: Germline-Informed Aging with AlphaGenome Finds Genetically Regulated CpGs
Sean Lim
Decoding Extrahepatic Targeting of Lipid Nanoparticles with Interpretable Machine Learning
Asal Mehradfar, Mohammad Shahab Sepehri, Owen Antholine et al.
GPCR Ligand Bioactivity Prediction with Physics-Informed Dual-State Query Learning
Shuo Zhang, Huifeng Zhang, Rongqi Hong et al.
Optical microelectrode arrays for differential readout of electrical and mechanical signals in cardiac cells
Alessandro Leronni, Rosalia Moreddu