Modelling wave propagation across a series of gaps

Autor: Vilmos Gáspár, Annette F. Taylor, Stephen K. Scott, Gavin R. Armstrong
Rok vydání: 2004
Předmět:
Zdroj: Phys. Chem. Chem. Phys.. 6:4677-4681
ISSN: 1463-9084
1463-9076
DOI: 10.1039/b406301e
Popis: 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 Scr and frequency transformation of the passage of a train of waves across a gap with width W ≤ Wcr. The role of activator kinetics in the gap is studied and the effect of excitability (through variation of parameters f and e) 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.
Databáze: OpenAIRE