| Autor: |
Cloet, Marie, Arno, Louise, Kabus, Desmond, Van der Veken, Joeri, Panfilov, Alexander V., Dierckx, Hans |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Physical Review Letters, 131(20), 208401 (2023) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevLett.131.208401 |
| Popis: |
Excitable media are ubiquitous in nature, and in such systems the local excitation tends to self-organize in traveling waves, or in rotating spiral-shaped patterns in two or three spatial dimensions. Examples include waves during a pandemic or electrical scroll waves in the heart. Here we show that such phenomena can be extended to a space of four or more dimensions and propose that connections of excitable elements in a network setting can be regarded as additional spatial dimensions. Numerical simulations are performed in four dimensions using the FitzHugh-Nagumo model, showing that the vortices rotate around a two-dimensional surface which we define as the superfilament. Evolution equations are derived for general superfilaments of co-dimension two in an N -dimensional space and their equilibrium configurations are proven to be minimal surfaces. We suggest that biological excitable systems, such as the heart or brain which have non-local connections can be regarded, at least partially, as multidimensional excitable media and discuss further possible studies in this direction. |
| Databáze: |
arXiv |
| Externí odkaz: |
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