Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Maria Carmela Lombardo"'
Autor:
Eleonora Bilotta, Francesco Gargano, Valeria Giunta, Maria Carmela Lombardo, Pietro Pantano, Paolo Falsaperla
Publikováno v:
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Vol 96, Iss S3, p A9 (2018)
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 stabilizati
Externí odkaz:
https://doaj.org/article/f4cf3a36f5164ed696ec89a2bac9e944
We investigate a reaction-diffusion-chemotaxis system that describes the immune response during an inflammatory attack. The model is a modification of the system proposed in Penner, Ermentrout, and Swigon [SIAM J. Appl. Dyn. Syst., 11 (2012), pp. 629
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08d6a884bb013d8cfa147f98cbc93cff
http://hdl.handle.net/10447/525685
http://hdl.handle.net/10447/525685
We consider a 2D vorticity configuration where vorticity is highly concentrated around a curve and exponentially decaying away from it: the intensity of the vorticity is $O(1/epsilon)$ on the curve while it decays on an $O(epsilon)$ distance from the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbe0d02cc8e10b59c1a6662496734953
http://hdl.handle.net/10447/386700
http://hdl.handle.net/10447/386700
Publikováno v:
Discrete and Continuous Dynamical Systems - B. 27:7783
We investigate the formation of stationary patterns in the FitzHugh-Nagumo reaction-diffusion system with linear cross-diffusion terms. We focus our analysis on the effects of cross-diffusion on the Turing mechanism. Linear stability analysis indicat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3bf9a2a52d4cf22bcc2841803a86b03
https://doi.org/10.3934/dcdsb.2022063
https://doi.org/10.3934/dcdsb.2022063
Publikováno v:
Ricerche di Matematica. 68:535-549
We construct square and target patterns solutions of the FitzHugh–Nagumo reaction–diffusion system on planar bounded domains. We study the existence and stability of stationary square and super-square patterns by performing a close to equilibrium
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc32f3d3f97ee21899f296a7673a2f8b
https://doi.org/10.1007/s11587-018-0424-6
https://doi.org/10.1007/s11587-018-0424-6
Autor:
Francesco Gargano, Maria Carmela Lombardo, Pietro Pantano, Valeria Giunta, Eleonora Bilotta, Marco Sammartino
Publikováno v:
Ricerche di Matematica. 68:281-294
In this paper we study radially symmetric solutions for our recently proposed reaction–diffusion–chemotaxis model of Multiple Sclerosis. Through a weakly nonlinear expansion we classify the bifurcation at the onset and derive the amplitude equati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45b43bfee046872ba0ab5cc744b84245
https://doi.org/10.1007/s11587-018-0406-8
https://doi.org/10.1007/s11587-018-0406-8
Publikováno v:
Ricerche di Matematica. 65:449-467
In this paper the Turing pattern formation mechanism of a two components reaction-diffusion system modeling the Schnakenberg chemical reaction is considered. In Ref. (Madzavamuse et al., J Math Biol 70(4):709–743, 2015) it was shown how the presenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::edbb53e6459eb9d5d2ca1cd9d5b9a4c8
https://doi.org/10.1007/s11587-016-0267-y
https://doi.org/10.1007/s11587-016-0267-y
Autor:
Maria Carmela Lombardo, Pietro Pantano, Marco Sammartino, Eleonora Bilotta, Francesca Bertacchini
A new approach to the study of the brain and its functions known as Human Connectomics has been recently established. Starting from magnetic resonance images (MRI) of brain scans, it is possible to identify the fibers that link brain areas and to bui
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d58ebc46d8a72dff5a1c5cce37d195c
http://hdl.handle.net/10447/327131
http://hdl.handle.net/10447/327131
Publikováno v:
Physical review. E. 97(1-1)
In this paper we investigate the complex dynamics originated by a cross-diffusion-induced subharmonic destabilization of the fundamental subcritical Turing mode in a predator-prey reaction-diffusion system. The model we consider consists of a two-spe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e218e1b5070f89d74464885f858dd561
https://pubmed.ncbi.nlm.nih.gov/29448421
https://pubmed.ncbi.nlm.nih.gov/29448421
Publikováno v:
Acta Applicandae Mathematicae. 132:139-149
In this paper we prove the well-posedness of the Prandtl boundary layer equations on a periodic strip when the initial and the boundary data are not assigned to be compatible.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cab9afefcc76a5973d43ebaf3ef5571b
https://doi.org/10.1007/s10440-014-9912-1
https://doi.org/10.1007/s10440-014-9912-1