Mathematical Aspects of Pattern Formation in Biological Systems (Record no. 91902)
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000 -LEADER | |
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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. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
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-- | rda |
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 |
912 ## - | |
-- | ZDB-2-SMA |
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