Reaction-diffusion waves in the vicinity of obstacles: The eikonal approach

✍ Scribed by Simon P. Gibbs; Jagannathan Gomatam

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 706 KB
• Volume: 5
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/0960-0779(95)95763-h

✦ Synopsis

The behaviour of excitable reaction-diffusion waves in the presence of non-excitable obstacles and boundaries is a complex phenomenon and portends pathological consequences in physiological systems such as cardiac tissue. The objective is to investigate, with the aid of the eikonal equation, the behaviour of three-dimensional waves in the proximity of spherical obstacles, and the extent to which this behaviour can be inferred by a study of the surface waves. The main conclusion is that an expanding spherical wave located symmetrically between identical spherical obstacles, is not stabilized as a stationary sphere by the Neumann conditions.