The Resource Mathematical Aspects of Pattern Formation in Biological Systems, by Juncheng Wei, Matthias Winter, (electronic resource)
Mathematical Aspects of Pattern Formation in Biological Systems, by Juncheng Wei, Matthias Winter, (electronic resource)
Resource Information
The item Mathematical Aspects of Pattern Formation in Biological Systems, by Juncheng Wei, Matthias Winter, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute Library.This item is available to borrow from 1 library branch.
Resource Information
The item Mathematical Aspects of Pattern Formation in Biological Systems, by Juncheng Wei, Matthias Winter, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute Library.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- XII, 319 pages 20 illustrations
- Contents
-
- 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
- Isbn
- 9781447155263
- Label
- Mathematical Aspects of Pattern Formation in Biological Systems
- Title
- Mathematical Aspects of Pattern Formation in Biological Systems
- Statement of responsibility
- by Juncheng Wei, Matthias Winter
- 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
- Cataloging source
- IT-FiEUI
- http://library.link/vocab/creatorDate
- 1968-
- http://library.link/vocab/creatorName
- Wei, Juncheng
- Image bit depth
- 0
- Literary form
- non fiction
- http://library.link/vocab/relatedWorkOrContributorName
-
- Winter, Matthias
- SpringerLink (Online service)
- Series statement
-
- Applied Mathematical Sciences,
- Springer eBooks
- Series volume
- 189
- http://library.link/vocab/subjectName
-
- Mathematics
- Differential equations, Partial
- Genetics
- Physiology
- Label
- Mathematical Aspects of Pattern Formation in Biological Systems, by Juncheng Wei, Matthias Winter, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier.
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent.
- Contents
- 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
- Control code
- 978-1-4471-5526-3
- Dimensions
- unknown
- Extent
- XII, 319 pages 20 illustrations
- File format
- multiple file formats
- Form of item
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9781447155263
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia.
- Media type code
-
- c
- Other control number
- 10.1007/978-1-4471-5526-3
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)896488034
- Label
- Mathematical Aspects of Pattern Formation in Biological Systems, by Juncheng Wei, Matthias Winter, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier.
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent.
- Contents
- 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
- Control code
- 978-1-4471-5526-3
- Dimensions
- unknown
- Extent
- XII, 319 pages 20 illustrations
- File format
- multiple file formats
- Form of item
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9781447155263
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia.
- Media type code
-
- c
- Other control number
- 10.1007/978-1-4471-5526-3
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)896488034
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/Mathematical-Aspects-of-Pattern-Formation-in/odJtmuuLm3M/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Mathematical-Aspects-of-Pattern-Formation-in/odJtmuuLm3M/">Mathematical Aspects of Pattern Formation in Biological Systems, by Juncheng Wei, Matthias Winter, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute Library</a></span></span></span></span></div>
