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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London :
Springer London : Imprint: Springer,
2014.
|
| Edición: | 1st ed. 2014. |
| Colección: | Applied Mathematical Sciences,
189 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-1-4471-5526-3 | ||
| 003 | DE-He213 | ||
| 005 | 20220118183758.0 | ||
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| 008 | 130918s2014 xxk| s |||| 0|eng d | ||
| 020 | |a 9781447155263 |9 978-1-4471-5526-3 | ||
| 024 | 7 | |a 10.1007/978-1-4471-5526-3 |2 doi | |
| 050 | 4 | |a QA370-380 | |
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| 072 | 7 | |a PBKJ |2 thema | |
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| 100 | 1 | |a Wei, Juncheng. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Mathematical Aspects of Pattern Formation in Biological Systems |h [electronic resource] / |c by Juncheng Wei, Matthias Winter. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a London : |b Springer London : |b Imprint: Springer, |c 2014. | |
| 300 | |a XII, 319 p. 20 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Applied Mathematical Sciences, |x 2196-968X ; |v 189 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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 phenomena in nature. Of particular concern are large-amplitude patterns far from equilibrium in biologically relevant models. The approach adopted in the monograph is based on the following paradigms: • Examine the existence of spiky steady states in reaction-diffusion systems and select as observable patterns only the stable ones • Begin by exploring spatially homogeneous two-component activator-inhibitor systems in one or two space dimensions • Extend the studies by considering extra effects or related systems, each motivated by their specific roles in developmental biology, such as spatial inhomogeneities, large reaction rates, altered boundary conditions, saturation terms, convection, many-component systems. Mathematical Aspects of Pattern Formation in Biological Systems will be of interest to graduate students and researchers who are active in reaction-diffusion systems, pattern formation and mathematical biology. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Biomathematics. | |
| 650 | 0 | |a Population genetics. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Mathematical and Computational Biology. |
| 650 | 2 | 4 | |a Population Genetics. |
| 700 | 1 | |a Winter, Matthias. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781447155270 |
| 776 | 0 | 8 | |i Printed edition: |z 9781447155256 |
| 776 | 0 | 8 | |i Printed edition: |z 9781447172611 |
| 830 | 0 | |a Applied Mathematical Sciences, |x 2196-968X ; |v 189 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-1-4471-5526-3 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||