Wave-driven phase wave patterns in a ring of FitzHugh-Nagumo oscillators
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910773906767872 |
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| author | Cebrián-Lacasa, Daniel Leda, Marcin Goryachev, Andrew B. Gelens, Lendert |
| author_facet | Cebrián-Lacasa, Daniel Leda, Marcin Goryachev, Andrew B. Gelens, Lendert |
| contents | We explore a biomimetic model that simulates a cell, with the internal cytoplasm represented by a two-dimensional circular domain and the external cortex by a surrounding ring, both modeled using FitzHugh-Nagumo systems. The external ring is dynamically influenced by a pacemaker-driven wave originating from the internal domain, leading to the emergence of three distinct dynamical states based on the varying strengths of coupling. The range of dynamics observed includes phase patterning, the propagation of phase waves, and interactions between traveling and phase waves. A simplified linear model effectively explains the mechanisms behind the variety of phase patterns observed, providing insights into the complex interplay between a cell's internal and external environments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13363 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wave-driven phase wave patterns in a ring of FitzHugh-Nagumo oscillators Cebrián-Lacasa, Daniel Leda, Marcin Goryachev, Andrew B. Gelens, Lendert Pattern Formation and Solitons Mathematical Physics Biological Physics Cell Behavior We explore a biomimetic model that simulates a cell, with the internal cytoplasm represented by a two-dimensional circular domain and the external cortex by a surrounding ring, both modeled using FitzHugh-Nagumo systems. The external ring is dynamically influenced by a pacemaker-driven wave originating from the internal domain, leading to the emergence of three distinct dynamical states based on the varying strengths of coupling. The range of dynamics observed includes phase patterning, the propagation of phase waves, and interactions between traveling and phase waves. A simplified linear model effectively explains the mechanisms behind the variety of phase patterns observed, providing insights into the complex interplay between a cell's internal and external environments. |
| title | Wave-driven phase wave patterns in a ring of FitzHugh-Nagumo oscillators |
| topic | Pattern Formation and Solitons Mathematical Physics Biological Physics Cell Behavior |
| url | https://arxiv.org/abs/2404.13363 |