{"ID":2823870,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2512.23922","arxiv_id":"2512.23922","title":"Non-stationary dynamics of interspike intervals in neuronal populations","abstract":"We study the joint dynamics of membrane potential and time since the last spike in a population of integrate-and-fire neurons using a population density framework. This leads to a two-dimensional Fokker-Planck equation that captures the evolution of the full neuronal state, along with a one-dimensional hierarchy of equations for the moments of the inter-spike interval (ISI). The formalism allows us to characterize the time-dependent ISI distribution, even when the population is far from stationarity, such as under time-varying external input or during network oscillations. By performing a perturbative expansion around the stationary state, we also derive an analytic expression for the linear response of the ISI distribution to weak input modulations.","short_abstract":"We study the joint dynamics of membrane potential and time since the last spike in a population of integrate-and-fire neurons using a population density framework. This leads to a two-dimensional Fokker-Planck equation that captures the evolution of the full neuronal state, along with a one-dimensional hierarchy of equ...","url_abs":"https://arxiv.org/abs/2512.23922","url_pdf":"https://arxiv.org/pdf/2512.23922v1","authors":"[\"Luca Falorsi\",\"Gianni V. Vinci\",\"Maurizio Mattia\"]","published":"2025-12-30T00:44:16Z","proceeding":"cond-mat.dis-nn","tasks":"[\"cond-mat.dis-nn\",\"q-bio.NC\"]","methods":"[]","has_code":false}