عنوان

Mathematical aspects of pattern formation in biological systems /

شابک

1447155262 (electronic bk.)

شابک

9781447155263 (electronic bk.)

شابک اشتباه

9781447155256

شماره

b430672

عنوان اصلي

Mathematical aspects of pattern formation in biological systems /

نام عام مواد

[Book]

نام نخستين پديدآور

Juncheng Wei, Matthias Winter

نام خاص و کميت اثر

1 online resource (xii, 319 pages) :

ساير جزييات

illustrations

عنوان فروست

Applied mathematical sciences,

مشخصه جلد

v.189

شاپا ي ISSN فروست

0066-5452 ;

متن يادداشت

Includes bibliographical references and index

متن يادداشت

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

بدون عنوان

0

متن يادداشت

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

موضوع مستند نشده

Biological systems-- Mathematical models

موضوع مستند نشده

Differential equations, Partial

موضوع مستند نشده

Biology

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Genetics and Population Dynamics

موضوع مستند نشده

Mathematical and Computational Biology

موضوع مستند نشده

Physiological, Cellular and Medical Topics

موضوع مستند نشده

MAT007000

موضوع مستند نشده

NAT-- 027000

موضوع مستند نشده

PBKJ

موضوع مستند نشده

SCI-- 008000

موضوع مستند نشده

SCI-- 086000

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Wei, Juncheng,1968-

مستند نام اشخاص تاييد نشده

Winter, Matthias

مستند نام تنالگان تاييد نشده

Ohio Library and Information Network

تاريخ عمليات

20160203201647.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y