2000/04/30 by Hans E. Plesser, Hans Ekkehard Pleßer, T. Geisel +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Diffusion and Search Dynamics #Gene Regulatory Network Analysis #physics.bio-ph #q-bio #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.63.033101
published as Phys Rev E 63:031916 · Some typos fixed, esp. Eq. 15. Results and conclusions are not affected
arxiv created 2001/01/05 · openalex publication_date 2001/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paradigm of stochastic resonance (SR)---the idea that signal detection and transmission may benefit from noise---has met with great interest in both physics and the neurosciences. We investigate here the consequences of reducing the dynamics of a periodically driven neuron to a renewal process (stimulation with reset or endogenous stimulation). This greatly simplifies the mathematical analysis, but we show that stochastic resonance as reported earlier occurs in this model only as a consequence of the reduced dynamics.