We generalized the phase resetting curve (PRC) to a more realistic case of neural oscillators receiving two or more inputs per cycle. The PRC tabulates the transient change in the firing period of a neuron due to an external perturbation, such as a presynaptic stimulus. We used a conductance-based model neuron to estimate experimentally the two-stimulus PRC and compared the results against our mathematical prediction based on the assumption of instantaneous recurrent stimulation. Within the limits of the recurrent stimulation assumptions, we found that the newly introduced prediction for the two-stimulus PRC matched experimental measurements. Our new results open the possibility of a more realistic approach to predicting phase-locked modes in neural networks, such as the synchronous activity of large networks during epileptic seizures.
Vollmer, Kelsey M.; Vanderweyen, Davy C.; Tuck, Derek R.; and Oprisan, Sorinel A.
"Predicting phase resetting due to multiple stimuli,"
Journal of the South Carolina Academy of Science: Vol. 13
, Article 5.
Available at: https://scholarcommons.sc.edu/jscas/vol13/iss2/5