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000695557 020__ $$a9781447155263 $$qelectronic book
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000695557 0247_ $$a10.1007/978-1-4471-5526-3$$2doi
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000695557 08204 $$a570.1/5118$$223
000695557 1001_ $$aWei, Juncheng,$$d1968-,$$eauthor.
000695557 24510 $$aMathematical aspects of pattern formation in biological systems$$h[electronic resource]  /$$cJuncheng Wei, Matthias Winter.
000695557 264_1 $$aLondon :$$bSpringer,$$c[2013?]
000695557 264_4 $$c©2014
000695557 300__ $$a1 online resource (xii, 319 pages) :$$billustrations.
000695557 336__ $$atext$$btxt$$2rdacontent
000695557 337__ $$acomputer$$bc$$2rdamedia
000695557 338__ $$aonline resource$$bcr$$2rdacarrier
000695557 4901_ $$aApplied mathematical sciences,$$x0066-5452 ;$$vv.189
000695557 504__ $$aIncludes bibliographical references and index.
000695557 5050_ $$aExistence 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.
000695557 506__ $$aAccess limited to authorized users.
000695557 520__ $$aThis 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.
000695557 588__ $$aDescription based on online resource; title from PDF title page (SpringerLink, viewed September 24, 2013).
000695557 650_0 $$aBiological systems$$xMathematical models.
000695557 7001_ $$aWinter, Matthias,$$eauthor.
000695557 830_0 $$aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$$vv.189.
000695557 85280 $$bebk$$hSpringerLink
000695557 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4471-5526-3$$zOnline Access
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