Spiral, Core-defect and Wave break in a modified Oregonator Model

TL;DR

This paper introduces a modified Oregonator model that captures spiral, core-defect, and wave break phenomena in reaction-diffusion systems, providing insights into biological and chemical spiral wave behaviors.

Contribution

A new three-variable modified Oregonator model that demonstrates spiral, defect, and breakup phenomena by parameter tuning.

Findings

Observation of spiral wave formation and breakup.

Identification of core-defect structures.

Demonstration of wave break phenomena.

Abstract

Target waves and spiral waves were discovered in the Belousov-Zhabotinsky (BZ) reaction around 50 years ago. Many biological systems demonstrate such rotating spiral patterns. Spiral waves are widely encountered in the glycolytic activity of yeast and cardiac and neuronal tissues. In the cardiac system, the spiral waves and their three dimensional counterparts, the scroll waves are the cause of arrhythmia. These waves are also widely studied in the experimental BZ reaction as a table-top model of the cardiac system. To understand the underlying physics or chemistry of the system, the Oregonator model is considered in correlation to the BZ reaction system. In this study, starting from the same FKN mechanism, we slightly modify the original Oregonator model. We present a three-variable model that can be called a modified Oregonator model in which we observe the presence of the spiral, spiral defect, and spiral breakup by tuning the parameters.