rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Waves in Neural Media
    sub title: From Single Neurons to Neural Fields
  name:
    name part: Bressloff, Paul C.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIX, 436 p. 151 illus., 18 illus. in color. online resource.
  abstract: Waves 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. .
  table of contents: Preface -- 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.
  note: by Paul C. Bressloff.
  subject:
    topic: Mathematics
  subject:
    topic: Neurosciences
  subject:
    topic: Differential equations
  subject:
    topic: Neural networks (Computer science)
  subject:
    topic: Probabilities
  subject:
    topic: Biomathematics
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Models of Cognitive Processes and Neural Networks
  subject:
    topic: Physiological, Cellular and Medical Topics
  subject:
    topic: Neurosciences
  subject:
    topic: Mathematical and Computational Biology
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Ordinary Differential Equations
  classification: QA76.87
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes on Mathematical Modelling in the Life Sciences
  identifier: 9781461488668
  identifier: http://dx.doi.org/10.1007/978-1-4614-8866-8
  record info:
    record creation date: 131017
    record change date: 20151126001126.0
    record identifier: 978-1-4614-8866-8