2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100064Analytical expressions are put forward to investigate the forced spiking activity of abstract neuron models such as the driven leaky integrate-and-fire (LIF) model. The method is valid in a wide parameter regime beyond the restraining limits of weak driving (linear response) and/or weak noise. The novel approximation is based on a discrete state Markovian modeling of the full dynamics with time-dependent rates. The scheme yields very good agreement with numerical Langevin and Fokker-Planck simulations of the full non-stationary dynamics for both, the first-passage time statistics and the interspike interval (residence time) distributions.4 pages, 4 figures, RevTeX4 used, final versionNeurons and CognitionDisordered Systems and Neural NetworksStatistical MechanicsAdaptation and Self-Organizing Systemstext