Advertisement
Published in:
2007 | OriginalPaper | Chapter
Synchronization between neuronal spiking activity and sub-threshold sinusoidal stimuli based on the FitzHugh-Nagumo model
Authors : Mahmut Ozer, Muhammet Uzuntarla
Published in: Mathematical Methods in Engineering
Publisher: Springer Netherlands
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
The FitzHugh-Nagumo (FHN) model was proposed as a simplification of the neuronal model and provided insight into the more complex neuronal models. Recently, an analytical approach has been proposed for determining the response of a neuron or of the activity in a network of connected neurons based on the FHN model with Gaussian white noise current. In this study, we investigate the synchronization between neuronal spiking activity and sub-threshold sinusoidal stimuli. For this purpose, we obtain the phase probability density of the spiking events for the sub-threshold stimuli. We show that the system exhibits the phase locking behaviour. We also show that the phase synchronization clusters the spiking activity on the positive phase of the sub- threshold sinusoidal driving for smaller frequencies while it shifts the spiking activity towards the negative phase for larger frequencies.