Signal anticipation and delay in excitable media: group delay of the FitzHugh-Nagumo model

2021/01/02 by Akke Mats Houben, Houben, Akke Mats
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Biological sciences #FOS: Physical sciences #Mechanical and Optical Resonators #Neurons and Cognition (q-bio.NC) #Nonlinear Dynamics and Pattern Formation #Quantum optics and atomic interactions #nlin.CD #q-bio.NC #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.2101.00500

9 pages, 6 figures

arxiv created 2021/01/02 · openalex publication_date 2021/01/02 · arxiv updated 2021/01/05 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

An expression for the group delay of the FitzHugh-Nagumo model in response to low amplitude input is obtained by linearisation of the cubic term of the voltage equation around its stable fixed-point. It is found that a negative group delay exists for low frequencies, indicating that the evolution of slowly fluctuating signals are anticipated by the voltage dynamics. The effects of the group delay for different types of signals are shown numerically for the non-linearised FitzHugh-Nagumo model, and some observations on the signal aspects that are anticipated are stated.

Citations

• Impulses and Physiological States in Theoretical Models of Nerve Membrane

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