MARC Record from harvard_bibliographic_metadata

LEADER: 03670nam a22005055a 4500
001 013879500-2
005 20140103192740.0
008 131017s2014 xxu| s ||0| 0|eng d
020 $a9781461488668
020 $a9781461488668
020 $a9781461488651
024 7 $a10.1007/978-1-4614-8866-8$2doi
035 $a(Springer)9781461488668
040 $aSpringer
050 4 $aQA76.87
072 7 $aPBWH$2bicssc
072 7 $aMAT003000$2bisacsh
082 04 $a519$223
100 1 $aBressloff, Paul C.,$eauthor.
245 10 $aWaves in Neural Media :$bFrom Single Neurons to Neural Fields /$cby Paul C. Bressloff.
264 1 $aNew York, NY :$bSpringer New York :$bImprint: Springer,$c2014.
300 $aXIX, 436 p. 151 illus., 18 illus. in color.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aLecture Notes on Mathematical Modelling in the Life Sciences,$x2193-4789
505 0 $aPreface -- Part I Neurons -- Single Neuron Modeling -- Traveling Waves in One-Dimensional Excitable Media -- Wave Propagation Along Spiny Dendrites -- Calcium Waves and Sparks -- Part II Networks -- Waves in Synaptically-Coupled Spiking Networks -- Population Models and Neural Fields -- Waves in Excitable Neural Fields -- Neural Field Model of Binocular Rivalry Waves -- Part III Development and Disease -- Waves in the Developing and the Diseased Brain -- Index.
520 $aWaves in Neural Media: From Single Cells to Neural Fields surveys mathematical models of traveling waves in the brain, ranging from intracellular waves in single neurons to waves of activity in large-scale brain networks. The work provides a pedagogical account of analytical methods for finding traveling wave solutions of the variety of nonlinear differential equations that arise in such models. These include regular and singular perturbation methods, weakly nonlinear analysis, Evans functions and wave stability, homogenization theory and averaging, and stochastic processes. Also covered in the text are exact methods of solution where applicable. Historically speaking, the propagation of action potentials has inspired new mathematics, particularly with regard to the PDE theory of waves in excitable media. More recently, continuum neural field models of large-scale brain networks have generated a new set of interesting mathematical questions with regard to the solution of nonlocal integro-differential equations.  Advanced graduates, postdoctoral researchers and faculty working in mathematical biology, theoretical neuroscience, or applied nonlinear dynamics will find this book to be a valuable resource. The main prerequisites are an introductory graduate course on ordinary differential equations and partial differential equations, making this an accessible and unique contribution to the field of mathematical biology. 
650 20 $aNeurosciences.
650 10 $aMathematics.
650 0 $aDistribution (Probability theory)
650 0 $aMathematics.
650 0 $aNeurosciences.
650 0 $aDifferential Equations.
650 0 $aPhysiology$xMathematics.
650 24 $aMathematical Models of Cognitive Processes and Neural Networks.
650 24 $aPhysiological, Cellular and Medical Topics.
650 24 $aMathematical and Computational Biology.
650 24 $aProbability Theory and Stochastic Processes.
650 24 $aOrdinary Differential Equations.
776 08 $iPrinted edition:$z9781461488651
830 0 $aLecture Notes on Mathematical Modelling in the Life Sciences.
988 $a20131221
906 $0VEN