Related Experiment Video
Updated: Jul 7, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Stochastic dynamics of uncoupled neural oscillators: Fokker-Planck studies with the finite element method
Roberto F Galán1, G Bard Ermentrout, Nathaniel N Urban
1Department of Biological Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA. galan@cnbc.cmu.edu
Abstract:
We have investigated the effect of the phase response curve on the dynamics of oscillators driven by noise in two limit cases that are especially relevant for neuroscience. Using the finite element method to solve the Fokker-Planck equation we have studied (i) the impact of noise on the regularity of the oscillations quantified as the coefficient of variation, (ii) stochastic synchronization of two uncoupled phase oscillators driven by correlated noise, and (iii) their cross-correlation function. We show that, in general, the limit of type II oscillators is more robust to noise and more efficient at synchronizing by correlated noise than type I.
Related Concept Videos
Damped Oscillations
Although friction and other non-conservative...
Forced Oscillations
Partial Differential Equations
Fermi Level Dynamics
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Modeling with Differential Equations
Poisson's And Laplace's Equation
