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EnglishWe 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.
Bilotta, E., Gargano, F., Giunta, V., Lombardo, M.C., Pantano, P., & Sammartino, M. (2018). Eckhaus and zigzag instability in a chemotaxis model of multiple sclerosis. ATTI DELLA ACCADEMIA PELORITANA DEI PERICOLANTI, CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI, 96(S3), 1-18.
| Data di pubblicazione: | 2018 |
| Titolo: | Eckhaus and zigzag instability in a chemotaxis model of multiple sclerosis |
| Autori: | SAMMARTINO, Marco Maria Luigi (Corresponding) |
| Citazione: | Bilotta, E., Gargano, F., Giunta, V., Lombardo, M.C., Pantano, P., & Sammartino, M. (2018). Eckhaus and zigzag instability in a chemotaxis model of multiple sclerosis. ATTI DELLA ACCADEMIA PELORITANA DEI PERICOLANTI, CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI, 96(S3), 1-18. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1478/AAPP.96S3A9 |
| Abstract: | 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. |
| URL: | http://cab.unime.it/journals/index.php/AAPP/article/view/AAPP.96S3A9/AAPP96S3A9 |
| Settore Scientifico Disciplinare: | Settore MAT/07 - Fisica Matematica |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| 2019_AAPP.pdf | Versione Editoriale | Open Access Visualizza/Apri |
http://hdl.handle.net/10447/340307
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