Mathematical aspects of pattern formation in biological systems:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2013
|
| Schriftenreihe: | Applied mathematical sciences
189 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4471-5526-3 https://doi.org/10.1007/978-1-4471-5526-3 https://doi.org/10.1007/978-1-4471-5526-3 https://doi.org/10.1007/978-1-4471-5526-3 https://doi.org/10.1007/978-1-4471-5526-3 https://doi.org/10.1007/978-1-4471-5526-3 https://doi.org/10.1007/978-1-4471-5526-3 https://doi.org/10.1007/978-1-4471-5526-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026908214&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026908214&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | 1 Online-Ressource (XII, 319 S.) |
| ISBN: | 9781447155256 9781447155263 |
| DOI: | 10.1007/978-1-4471-5526-3 |
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Datensatz im Suchindex
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| adam_text | MATHEMATICAL ASPECTS OF PATTERN FORMATION IN BIOLOGICAL SYSTEMS
/ WEI, JUNCHENG
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
MATHEMATICAL ASPECTS OF PATTERN FORMATION IN BIOLOGICAL SYSTEMS
/ WEI, JUNCHENG
: 2014
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Wei, Juncheng 1968- Winter, Matthias |
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| discipline | Biologie Mathematik |
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| language | English |
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| spellingShingle | Wei, Juncheng 1968- Winter, Matthias Mathematical aspects of pattern formation in biological systems Applied mathematical sciences Partielle Differentialgleichung (DE-588)4044779-0 gnd Biomathematik (DE-588)4139408-2 gnd |
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| title | Mathematical aspects of pattern formation in biological systems |
| title_auth | Mathematical aspects of pattern formation in biological systems |
| title_exact_search | Mathematical aspects of pattern formation in biological systems |
| title_full | Mathematical aspects of pattern formation in biological systems Juncheng Wei ; Matthias Winter |
| title_fullStr | Mathematical aspects of pattern formation in biological systems Juncheng Wei ; Matthias Winter |
| title_full_unstemmed | Mathematical aspects of pattern formation in biological systems Juncheng Wei ; Matthias Winter |
| title_short | Mathematical aspects of pattern formation in biological systems |
| title_sort | mathematical aspects of pattern formation in biological systems |
| topic | Partielle Differentialgleichung (DE-588)4044779-0 gnd Biomathematik (DE-588)4139408-2 gnd |
| topic_facet | Partielle Differentialgleichung Biomathematik |
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