Coverart for item
The Resource Mathematical aspects of pattern formation in biological systems, Juncheng Wei, Matthias Winter

Mathematical aspects of pattern formation in biological systems, Juncheng Wei, Matthias Winter

Label
Mathematical aspects of pattern formation in biological systems
Title
Mathematical aspects of pattern formation in biological systems
Statement of responsibility
Juncheng Wei, Matthias Winter
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1968-
http://library.link/vocab/creatorName
Wei, Juncheng
Dewey number
570.1/5118
Illustrations
illustrations
Index
index present
LC call number
QH323.5
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
http://library.link/vocab/relatedWorkOrContributorName
Winter, Matthias
Series statement
Applied mathematical sciences,
Series volume
v. 189
http://library.link/vocab/subjectName
  • Biological systems
  • Biology
  • Mathematics
  • NATURE
  • SCIENCE
  • SCIENCE
  • Biological systems
Label
Mathematical aspects of pattern formation in biological systems, Juncheng Wei, Matthias Winter
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
859673638
Dimensions
unknown
Extent
1 online resource (xii, 319 pages)
File format
unknown
Form of item
online
Isbn
9781447155263
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-5526-3
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)859673638
Label
Mathematical aspects of pattern formation in biological systems, Juncheng Wei, Matthias Winter
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
859673638
Dimensions
unknown
Extent
1 online resource (xii, 319 pages)
File format
unknown
Form of item
online
Isbn
9781447155263
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-5526-3
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)859673638

Library Locations

    • Ellis LibraryBorrow it
      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
Processing Feedback ...