Abstract
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.
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Ozer, M., Uzuntarla, M. (2007). Synchronization between neuronal spiking activity and sub-threshold sinusoidal stimuli based on the FitzHugh-Nagumo model. In: Taş, K., Tenreiro Machado, J.A., Baleanu, D. (eds) Mathematical Methods in Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5678-9_36
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DOI: https://doi.org/10.1007/978-1-4020-5678-9_36
Publisher Name: Springer, Dordrecht
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