Mathematical Aspects of Pattern Formation in Biological Systems (Record no. 91902)

000 -LEADER
fixed length control field 03670nam a22005055i 4500
001 - CONTROL NUMBER
control field 978-1-4471-5526-3
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220082456.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130918s2014 xxk| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781447155263
-- 978-1-4471-5526-3
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-1-4471-5526-3
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA370-380
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKJ
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT007000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.353
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Wei, Juncheng.
Relator term author.
245 10 - TITLE STATEMENT
Title Mathematical Aspects of Pattern Formation in Biological Systems
Medium [electronic resource] /
Statement of responsibility, etc by Juncheng Wei, Matthias Winter.
264 #1 -
-- London :
-- Springer London :
-- Imprint: Springer,
-- 2014.
300 ## - PHYSICAL DESCRIPTION
Extent XII, 319 p. 20 illus.
Other physical details online resource.
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-- text
-- txt
-- rdacontent
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-- computer
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-- rdamedia
338 ## -
-- online resource
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347 ## -
-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Applied Mathematical Sciences,
International Standard Serial Number 0066-5452 ;
Volume number/sequential designation 189
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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 ## - SUMMARY, ETC.
Summary, etc 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 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential equations, partial.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Genetics
General subdivision Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physiology
General subdivision Mathematics.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Partial Differential Equations.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical and Computational Biology.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Genetics and Population Dynamics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physiological, Cellular and Medical Topics.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Winter, Matthias.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9781447155256
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Applied Mathematical Sciences,
-- 0066-5452 ;
Volume number/sequential designation 189
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-1-4471-5526-3
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