Scroll waves and filaments in excitable media of higher spatial dimension
- Author
- Marie Cloet, Louise Arno, Desmond Kabus, Joeri Van der Veken, Alexander Panfilov (UGent) and Hans Dierckx
- Organization
- Abstract
- 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 codimension 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 nonlocal connections can be regarded, at least partially, as multidimensional excitable media and discuss further possible studies in this direction.
- Keywords
- General Physics and Astronomy, SPIRAL WAVES, DYNAMICS, DIFFUSION, ORGANIZATION, PATTERNS, MOTION, MODEL, RING, Biophysics
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01HNNAP3VRHKKMSA2MEEQPKMTM
- MLA
- Cloet, Marie, et al. “Scroll Waves and Filaments in Excitable Media of Higher Spatial Dimension.” PHYSICAL REVIEW LETTERS, vol. 131, no. 20, American Physical Society (APS), 2023, doi:10.1103/physrevlett.131.208401.
- APA
- Cloet, M., Arno, L., Kabus, D., Van der Veken, J., Panfilov, A., & Dierckx, H. (2023). Scroll waves and filaments in excitable media of higher spatial dimension. PHYSICAL REVIEW LETTERS, 131(20). https://doi.org/10.1103/physrevlett.131.208401
- Chicago author-date
- Cloet, Marie, Louise Arno, Desmond Kabus, Joeri Van der Veken, Alexander Panfilov, and Hans Dierckx. 2023. “Scroll Waves and Filaments in Excitable Media of Higher Spatial Dimension.” PHYSICAL REVIEW LETTERS 131 (20). https://doi.org/10.1103/physrevlett.131.208401.
- Chicago author-date (all authors)
- Cloet, Marie, Louise Arno, Desmond Kabus, Joeri Van der Veken, Alexander Panfilov, and Hans Dierckx. 2023. “Scroll Waves and Filaments in Excitable Media of Higher Spatial Dimension.” PHYSICAL REVIEW LETTERS 131 (20). doi:10.1103/physrevlett.131.208401.
- Vancouver
- 1.Cloet M, Arno L, Kabus D, Van der Veken J, Panfilov A, Dierckx H. Scroll waves and filaments in excitable media of higher spatial dimension. PHYSICAL REVIEW LETTERS. 2023;131(20).
- IEEE
- [1]M. Cloet, L. Arno, D. Kabus, J. Van der Veken, A. Panfilov, and H. Dierckx, “Scroll waves and filaments in excitable media of higher spatial dimension,” PHYSICAL REVIEW LETTERS, vol. 131, no. 20, 2023.
@article{01HNNAP3VRHKKMSA2MEEQPKMTM,
abstract = {{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 codimension 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 nonlocal connections can be regarded, at least partially, as multidimensional excitable media and discuss further possible studies in this direction.}},
articleno = {{208401}},
author = {{Cloet, Marie and Arno, Louise and Kabus, Desmond and Van der Veken, Joeri and Panfilov, Alexander and Dierckx, Hans}},
issn = {{0031-9007}},
journal = {{PHYSICAL REVIEW LETTERS}},
keywords = {{General Physics and Astronomy,SPIRAL WAVES,DYNAMICS,DIFFUSION,ORGANIZATION,PATTERNS,MOTION,MODEL,RING,Biophysics}},
language = {{eng}},
number = {{20}},
pages = {{6}},
publisher = {{American Physical Society (APS)}},
title = {{Scroll waves and filaments in excitable media of higher spatial dimension}},
url = {{http://doi.org/10.1103/physrevlett.131.208401}},
volume = {{131}},
year = {{2023}},
}
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