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## Details

Additional Physical Format: | E-book: Wei, Juncheng, Mathematical aspects of pattern formation in biological systems 1968- (OCoLC)859673638 |
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Material Type: | Internet resource |

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
Juncheng Wei; Matthias Winter, (Mathematician) |

ISBN: | 9781447155256 1447155254 |

OCLC Number: | 857974005 |

Description: | xii, 319 pages : illustrations ; 25 cm. |

Contents: | 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. |

Series Title: | Applied mathematical sciences (Springer-Verlag New York Inc.), v. 189. |

Responsibility: | Juncheng Wei, Matthias Winter. |

### Abstract:

Focusing on large-amplitude patterns far from equilibrium in biologically relevant models, this book summarizes and expands on fifteen years of results in the mathematical analysis of patterns which are encountered in biological systems.
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## Reviews

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Publisher Synopsis

From the book reviews:"This book deals with the mathematical analysis of patterns encountered in biological systems, using a variety of functional analysis methods to prove the existence of solutions. ... It is indeed written for advanced graduates and experts interested in the mathematics of pattern formation and reaction-diffusion equations. ... this is a good reference source for various advanced theories and mathematical applications in this field." (J. Michel Tchuenche, zbMATH, Vol. 1295, 2014) Read more...

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