Mathematical Aspects of Pattern Formation in Biological Systems

by Juncheng Wei and Matthias Winter

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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.

Format:Hardcover

Language:English

ISBN:1447155254

ISBN13:9781447155256

Release Date:October 2013

Publisher:Springer

Length:319 Pages

Weight:1.41 lbs.

Dimensions:0.8" x 6.1" x 9.2"

Related Subjects

Math Mathematics Science Science & Math Science & Scientists Science & Technology

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Mathematical Aspects of Pattern Formation in Biological Systems

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