Mathematical Aspects of Pattern Formation in Biological Systems

This monograph is concerned with the mathematical analysis of patterns which are encountered in biological systems. It summarises, expands and relates results obtained in the field during the last fifteen years. It also links the results to biological applications and highlights their relevance to p...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Wei, Juncheng (Autor), Winter, Matthias (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Applied Mathematical Sciences, 189
Temas:
Differential equations.
Biomathematics.
Population genetics.
Differential Equations.
Mathematical and Computational Biology.
Population Genetics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Existence of spikes for the Gierer-Meinhardt system in one dimension
  • The Nonlocal Eigenvalue Problem (NLEP)
  • Stability of spikes for the Gierer-Meinhardt system in one dimension
  • Existence of spikes for the shadow Gierer-Meinhardt system
  • Existence and stability of spikes for the Gierer-Meinhardt system in two dimensions
  • The Gierer-Meinhardt system with inhomogeneous coefficients
  • Other aspects of the Gierer-Meinhardt system
  • The Gierer-Meinhardt system with saturation
  • Spikes for other two-component reaction-diffusion systems
  • Reaction-diffusion systems with many components
  • Biological applications
  • Appendix.

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