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: Mathematical neuroscience
  name:
    name part: Brzychczy, Stanisław.
    role:
      role term: creator
  name:
    name part: Poznanski, Roman R.
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: Electronic books.
  genre: Internet Resources.
  genre: Plates.
  genre: Portraits.
  origin info:
    place:
      place term: ne
    place:
      place term: Amsterdam
    place:
      place term: Boston
    publisher: Academic Press
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: Mathematical Neuroscience is a book for mathematical biologists seeking to discover the complexities of brain dynamics in an integrative way. It is the first research monograph devoted exclusively to the theory and methods of nonlinear analysis of infinite systems based on functional analysis techniques arising in modern mathematics. Neural models that describe the spatio-temporal evolution of coarse-grained variables-such as synaptic or firing rate activity in populations of neurons -and often take the form of integro-differential equations would not normally reflect an integrative approach. This book examines the solvability of infinite systems of reaction diffusion type equations in partially ordered abstract spaces. It considers various methods and techniques of nonlinear analysis, including comparison theorems, monotone iterative techniques, a truncation method, and topological fixed point methods. Infinite systems of such equations play a crucial role in the integrative aspects of neuroscience modeling. The first focused introduction to the use of nonlinear analysis with an infinite dimensional approach to theoretical neuroscience. Combines functional analysis techniques with nonlinear dynamical systems applied to the study of the brain. Introduces powerful mathematical techniques to manage the dynamics and challenges of infinite systems of equations applied to neuroscience modeling.
  table of contents: Pt. I. Methods of nonlinear analysis -- pt. II. Application of nonlinear analysis.
  note: Stanisław Brzychczy, Roman R. Poznanski.
  subject:
    topic: Neurosciences
    topic: Mathematics
  subject:
    topic: Neurosciences
  subject:
    topic: Mathematics
  subject:
    topic: Neurosciences
  subject:
    topic: Mathematics
  subject:
    topic: Models, Neurological
  subject:
    topic: Neurosciences
    topic: Mathématiques
  subject:
    topic: Neurosciences
  subject:
    topic: Mathématiques
  subject:
    topic: mathematics
  subject:
    topic: applied mathematics
  subject:
    topic: Neurosciences
  subject:
    topic: Mathematics
  subject:
    topic: Neurosciences
    topic: Mathematics
  classification: QP357.5
  classification: 612.801/51
  classification: 2013 I-797
  classification: WL 20
  identifier: 1299804152
  identifier: 9781299804159
  identifier: 9780124114685
  identifier: 0124114687
  identifier: 511666 MIL
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: IDEBK
    record creation date: 130823
    record change date: 20260326195129.4
    record identifier: in00005752787
    language of cataloging:
      language term: eng