Eckhaus and zigzag instability in a chemotaxis model of multiple sclerosis
| Autor: | Eleonora Bilotta, Francesco Gargano, Valeria Giunta, Maria Carmela Lombardo, Pietro Pantano, Paolo Falsaperla |
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| Jazyk: | English<br />Italian |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Vol 96, Iss S3, p A9 (2018) |
| Druh dokumentu: | article |
| ISSN: | 0365-0359 1825-1242 |
| DOI: | 10.1478/AAPP.96S3A9 |
| Popis: | We present a theoretical and numerical study of the bifurcations of the stationary patterns supported by a chemotactic model of Multiple Sclerosis (MS). We derive the normal forms of the dynamics which allows to predict the appearance and stabilization of the emerging branches describing the concentric patterns typical of Balo's sclerosis, a very aggressive variant of MS. Spatial modulation of the Turing-type structures through a zigzag instability is also addressed. The nonlinear stage of the Eckhaus and zigzag instability is investigated numerically: defect-mediated wavenumber adjustments are recovered and the time of occurrence of phase-slips is studied as the system parameters are varied. |
| Databáze: | Directory of Open Access Journals |
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