000 03846nam a22005535i 4500
001 978-3-642-11443-4
003 DE-He213
005 20140220084530.0
007 cr nn 008mamaa
008 100623s2010 gw | s |||| 0|eng d
020 _a9783642114434
_9978-3-642-11443-4
024 7 _a10.1007/978-3-642-11443-4
_2doi
050 4 _aQC174.7-175.36
072 7 _aPHS
_2bicssc
072 7 _aPHDT
_2bicssc
072 7 _aSCI055000
_2bisacsh
082 0 4 _a621
_223
100 1 _aHorsthemke, Werner.
_eauthor.
245 1 0 _aReaction-Transport Systems
_h[electronic resource] :
_bMesoscopic Foundations, Fronts, and Spatial Instabilities /
_cby Werner Horsthemke, Sergei Fedotov, Vicenc Mendez.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aX, 450p. 72 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Series in Synergetics,
_x0172-7389
505 0 _aGeneral Concepts -- Reaction Kinetics -- Reactions and Transport: Diffusion, Inertia, and Subdiffusion -- Random Walks and Mesoscopic Reaction-Transport Equations -- Front Propagation -- Reaction–Diffusion Fronts -- Reaction–Transport Fronts Propagating into Unstable States -- Reaction–Diffusion Fronts in Complex Structures -- Ecological Applications -- Biomedical Applications -- Spatial Instabilities and Patterns -- Persistence and Extinction of Populations in Finite Domains -- Turing Instabilities in Homogeneous Systems -- Turing Instabilities in Reaction–Diffusion Systems with Temporally or Spatially Varying Parameters. -- Chemical and Biological Applications of Turing Systems -- Pattern Formation in Spatially Discrete Systems.
520 _aThis book is an introduction to the dynamics of reaction-diffusion systems, with a focus on fronts and stationary spatial patterns. Emphasis is on systems that are non-standard in the sense that either the transport is not simply classical diffusion (Brownian motion) or the system is not homogeneous. A important feature is the derivation of the basic phenomenological equations from the mesoscopic system properties. Topics addressed include transport with inertia, described by persistent random walks and hyperbolic reaction-transport equations and transport by anomalous diffusion, in particular subdiffusion, where the mean square displacement grows sublinearly with time. In particular reaction-diffusion systems are studied where the medium is in turn either spatially inhomogeneous, compositionally heterogeneous or spatially discrete. Applications span a vast range of interdisciplinary fields and the systems considered can be as different as human or animal groups migrating under external influences, population ecology and evolution, complex chemical reactions, or networks of biological cells. Several chapters treat these applications in detail.
650 0 _aPhysics.
650 0 _aChemistry, Physical organic.
650 0 _aChemical engineering.
650 0 _aEcology.
650 0 _aGenetics
_xMathematics.
650 1 4 _aPhysics.
650 2 4 _aStatistical Physics, Dynamical Systems and Complexity.
650 2 4 _aPhysical Chemistry.
650 2 4 _aTheoretical Ecology/Statistics.
650 2 4 _aGenetics and Population Dynamics.
650 2 4 _aIndustrial Chemistry/Chemical Engineering.
700 1 _aFedotov, Sergei.
_eauthor.
700 1 _aMendez, Vicenc.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642114427
830 0 _aSpringer Series in Synergetics,
_x0172-7389
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-11443-4
912 _aZDB-2-PHA
999 _c111851
_d111851