Scroll Waves and Filaments in Excitable Media of Higher Spatial Dimension
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Scroll Waves and Filaments in Excitable Media of Higher Spatial Dimension
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| Автор |
Cloet, M.
Arno, L. Kabus, D. Van, Der, Veken, J. Panfilov, A. V. Dierckx, H. |
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| Тематика |
EXCITABLE MEDIA
FITZHUGH-NAGUMO MODEL FOUR DIMENSIONS HIGH SPATIAL DIMENSIONS NETWORK SETTINGS SCROLL WAVES SELF-ORGANIZE SHAPED PATTERN SPATIAL DIMENSION TRAVELLING WAVES AGED ARTICLE HUMAN PANDEMIC SIMULATION |
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| Описание |
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. © 2023 American Physical Society.
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| Дата |
2024-04-05T16:36:43Z
2024-04-05T16:36:43Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/submittedVersion |
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| Идентификатор |
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, Том. 131, № 20, 208401. https://doi.org/10.1103/PhysRevLett.131.208401
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), [208401]. https://doi.org/10.1103/PhysRevLett.131.208401 0031-9007 Final All Open Access, Green https://www.scopus.com/inward/record.uri?eid=2-s2.0-85177240544&doi=10.1103%2fPhysRevLett.131.208401&partnerID=40&md5=d97b51e55c3dd829b3f28d3f2ffd4ff2 https://arxiv.org/pdf/2304.14861 http://elar.urfu.ru/handle/10995/130984 10.1103/PhysRevLett.131.208401 85177240544 001145457700001 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
American Physical Society
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| Источник |
Physical Review Letters
Physical Review Letters |
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