Spiral, Core-defect and Wave break in a modified Oregonator Model
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910620589228032 |
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| author | Khan, Parvej Dutta, Sumana |
| author_facet | Khan, Parvej Dutta, Sumana |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15731 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spiral, Core-defect and Wave break in a modified Oregonator Model Khan, Parvej Dutta, Sumana Pattern Formation and Solitons 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. |
| title | Spiral, Core-defect and Wave break in a modified Oregonator Model |
| topic | Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2403.15731 |