Segregation and pursuit waves in activator-inhibitor systems

Vicenç Méndez; Werner Horsthemke; Evgeny P. Zemskov; José Casas-Vázquez

doi:10.1103/PhysRevE.76.046222

Segregation and pursuit waves in activator-inhibitor systems

Vicenç Méndez, Werner Horsthemke, Evgeny P. Zemskov, José Casas-Vázquez

Departamento de Física

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

5 Citas (Scopus)

Resumen

We investigate the effects of cross-diffusion on propagating waves in an activator-inhibitor system. The model consists of a piecewise linear approximation of FitzHugh-Nagumo kinetics and a cross-diffusion term for either the activator or the inhibitor. We obtain exact analytic solutions for traveling fronts and solitary pulses and discuss the corresponding speed diagrams. A detailed comparison with the corresponding Rinzel-Keller model for the usually studied case of self-diffusion is performed. © 2007 The American Physical Society.

Idioma original	Inglés
Número de artículo	046222
Publicación	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volumen	76
DOI	https://doi.org/10.1103/PhysRevE.76.046222
Estado	Publicada - 25 oct 2007

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title = "Segregation and pursuit waves in activator-inhibitor systems",

abstract = "We investigate the effects of cross-diffusion on propagating waves in an activator-inhibitor system. The model consists of a piecewise linear approximation of FitzHugh-Nagumo kinetics and a cross-diffusion term for either the activator or the inhibitor. We obtain exact analytic solutions for traveling fronts and solitary pulses and discuss the corresponding speed diagrams. A detailed comparison with the corresponding Rinzel-Keller model for the usually studied case of self-diffusion is performed. {\textcopyright} 2007 The American Physical Society.",

author = "Vicen{\c c} M{\'e}ndez and Werner Horsthemke and Zemskov, {Evgeny P.} and Jos{\'e} Casas-V{\'a}zquez",

year = "2007",

month = oct,

day = "25",

doi = "10.1103/PhysRevE.76.046222",

language = "English",

volume = "76",

journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",

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T1 - Segregation and pursuit waves in activator-inhibitor systems

AU - Méndez, Vicenç

AU - Horsthemke, Werner

AU - Zemskov, Evgeny P.

AU - Casas-Vázquez, José

PY - 2007/10/25

Y1 - 2007/10/25

N2 - We investigate the effects of cross-diffusion on propagating waves in an activator-inhibitor system. The model consists of a piecewise linear approximation of FitzHugh-Nagumo kinetics and a cross-diffusion term for either the activator or the inhibitor. We obtain exact analytic solutions for traveling fronts and solitary pulses and discuss the corresponding speed diagrams. A detailed comparison with the corresponding Rinzel-Keller model for the usually studied case of self-diffusion is performed. © 2007 The American Physical Society.

AB - We investigate the effects of cross-diffusion on propagating waves in an activator-inhibitor system. The model consists of a piecewise linear approximation of FitzHugh-Nagumo kinetics and a cross-diffusion term for either the activator or the inhibitor. We obtain exact analytic solutions for traveling fronts and solitary pulses and discuss the corresponding speed diagrams. A detailed comparison with the corresponding Rinzel-Keller model for the usually studied case of self-diffusion is performed. © 2007 The American Physical Society.

U2 - 10.1103/PhysRevE.76.046222

DO - 10.1103/PhysRevE.76.046222

M3 - Article

SN - 1539-3755

VL - 76

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

M1 - 046222

ER -

Segregation and pursuit waves in activator-inhibitor systems

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