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Sequences of events in noise-driven excitable systems with slow variables often show serial correlations among their intervals of events. Here, we employ a master equation for generalized non-renewal processes to calculate the interval and count statistics of superimposed processes governed by a slow adaptation variable. For an ensemble of neurons with spike-frequency adaptation, this results in the regularization of the population activity and an enhanced postsynaptic signal decoding. We confirm our theoretical results in a population of cortical neurons recorded in vivo.
Olaf Blanke, Fosco Bernasconi, Nathan Quentin Faivre, Michael Eric Anthony Pereira
Michael Reimann, András Ecker, James Bryden Isbister, Daniela Egas Santander, Sirio Bolaños Puchet
Alexander Mathis, Alberto Silvio Chiappa, Alessandro Marin Vargas, Axel Bisi