Picture of virus under microscope

Research under the microscope...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

Explore SIPBS research

Diffraction of spherical waves by a toroidal obstacle: eikonal approach to excitable reaction-diffusion systems

Mulholland, A.J. and Gomatam, J. and McQuillan, P. (1996) Diffraction of spherical waves by a toroidal obstacle: eikonal approach to excitable reaction-diffusion systems. Proceedings A: Mathematical, Physical and Engineering Sciences, 452 (1955). pp. 2785-2799.

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

Diffraction of spherical waves by a toroidal obstacle is analysed using the eikonal approximation to the reaction-diffusion equations with excitable kinetics. We demonstrate the existence of two stationary spherical wave segments, one larger and the other smaller than a hemisphere, blocking the hole of the torus. A detailed stability analysis indicates that the former is unstable and the latter is stable. This analysis suggests that the trapping of a spherical wave front by a toroidal obstacle may be verified experimentally using a chemical medium like the Belouzov-Zhabotinsky reagent in the excitable regime.