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PRC Estimation with Varying Width Intervals

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Book cover Phase Response Curves in Neuroscience

Part of the book series: Springer Series in Computational Neuroscience ((NEUROSCI,volume 6))

Abstract

The definition of the infinitesimal phase-resetting curve implies that the period of oscillation is known and constant for all values of the perturbation phase. Experimental estimation of the infinitesimal phase-resetting curve in neurons requires estimation of the unperturbed period of oscillation and the changes in the period in response to perturbations along the phase. Action potentials provide well-defined, yet stochastic endpoints of the cycle of oscillation. Experimental estimation of the phase-resetting curve is substantially complicated as a result. Here, we discuss a common problem with experimental PRC estimation caused by using the mean interspike interval (ISI) to describe the resting period. We propose a solution through truncated estimators of the firing period, conditioned upon observed phase: i.e., an estimate of the period given that we have experienced up to phase τ.

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Correspondence to Daniel G. Polhamus .

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Polhamus, D.G., Wilson, C.J., Paladini, C.A. (2012). PRC Estimation with Varying Width Intervals. In: Schultheiss, N., Prinz, A., Butera, R. (eds) Phase Response Curves in Neuroscience. Springer Series in Computational Neuroscience, vol 6. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0739-3_7

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