Modelling wave propagation across a series of gaps

Armstrong, Gavin R., Taylor, Annette F., Scott, Stephen K. and Gápár, Vilmos (2004) Modelling wave propagation across a series of gaps. Physical Chemistry Chemical Physics, 6 (19), 4677-4681. (doi:10.1039/b406301e).

Record type: Article

Abstract

Wave propagation across a series of gaps in a one-dimensional excitable medium is simulated using the Oregonator model of the Belousov–Zhabotinsky reaction. In agreement with recent experiments, we observe features such as the critical gap width Wcr, critical spacing between gaps S_crand frequency transformation of the passage of a train of waves across a gap with width W ≤ W_cr. The role of activator kinetics in the gap is studied and the effect of excitability (through variation of parameters f and ε) on the fraction of waves which successfully cross the domain is determined. We also find that the probability of a wave successfully propagating through the entire domain decreases with increasing number of gaps, and the profile of the activator species is examined for evidence of a “weakening” effect in a multiple gap system.

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