Spiral-generation mechanism in the two-dimensional FitzHugh-Nagumo system

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual de Mato Grosso do Sul (UEMS)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorUniversidad de Cádiz-
Autor(es): dc.creatorRubio-Mercedes, C. E.-
Autor(es): dc.creatorLozada-Cruz, G.-
Autor(es): dc.creatorGallego, F. Ortegón-
Data de aceite: dc.date.accessioned2025-08-21T15:32:57Z-
Data de disponibilização: dc.date.available2025-08-21T15:32:57Z-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2021-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s11587-022-00725-1-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/240525-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/240525-
Descrição: dc.descriptionSpiral waves are a mathematical concept that organizes spatio-temporal dynamics in dissipative, spatially extended biological, physical and chemical systems. They support a variety of important phenomena, such as re-entrant cardiac arrhythmias and spatial patterns in chemical reactions. In this paper we consider a two-dimensional (2D) disturbance wave that can make the pulse wave travel around the disturbance and generate a self-sustaining spiral wave. The use of a region temporarily refractory as a disturbance in format wave is a novel mechanism for generating activity in spiral shape. In addition, it is robust for a wide variety of refractory areas and geometry shapes. This situation models the appearance of abnormal electrical activity in the heart, where the disturbance is a cardiac tissue in damage. We present a Finite Element Method (FEM) scheme for the two-dimensional FitzHugh-Nagumo (FHN) system to simulate the spiral-generation mechanism in cardiac tissue. This scheme is based on the semi implicit Eyres algorithm and we present some numerical results to demonstrate the effectiveness and usefulness of the present technique.-
Descrição: dc.descriptionMathematics and Engineering Physics Programs Mato Grosso do Sul State University (UEMS), MS-
Descrição: dc.descriptionInstitute of Biosciences Humanities and Exact Sciences Department of Mathematics São Paulo State University (UNESP), SP-
Descrição: dc.descriptionDepartamento de Matemáticas Facultad de Ciencias del Mar y Ambientales Universidad de Cádiz, Puerto Real-
Descrição: dc.descriptionInstitute of Biosciences Humanities and Exact Sciences Department of Mathematics São Paulo State University (UNESP), SP-
Idioma: dc.languageen-
Relação: dc.relationRicerche di Matematica-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectDiffusion-
Palavras-chave: dc.subjectFinite Element Method-
Palavras-chave: dc.subjectFitzHugh-Nagumo-
Palavras-chave: dc.subjectSpiral-generation-
Título: dc.titleSpiral-generation mechanism in the two-dimensional FitzHugh-Nagumo system-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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