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:
    non sort: The
    title: Mathematics and Mechanics of Biological Growth
  name:
    name part: Goriely, Alain.
    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: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXII, 646 p. 341 illus. online resource.
  abstract: This monograph presents a general mechanical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods is illustrated on a wide range of examples and applications. A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D’Arcy Wentworth Thompson’s 1917 book On Growth and Form. The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges. Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.
  table of contents: Basic aspects of growth -- Mechanics and growth -- Discrete computational models -- Growing on a line -- Elastic rods -- Morphoelastic rods -- Accretive growth -- Membranes and shells -- Growing membranes -- Morphoelastic plates -- Nonlinear elasticity -- The kinematics of growth -- Balance laws -- Evolution laws and stability -- Growing spheres -- Growing cylinders -- Ten challenges -- References -- Index.
  note: by Alain Goriely.
  subject:
    topic: Mathematics
  subject:
    topic: Cell physiology
  subject:
    topic: Developmental biology
  subject:
    topic: Biomathematics
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical and Computational Biology
  subject:
    topic: Biological and Medical Physics, Biophysics
  subject:
    topic: Developmental Biology
  subject:
    topic: Cell Physiology
  subject:
    topic: Classical Mechanics
  classification: QH323.5
  classification: QH324.2-324.25
  classification: 570.285
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Interdisciplinary Applied Mathematics, 45
  identifier: 9780387877105
  identifier: http://dx.doi.org/10.1007/978-0-387-87710-5
  record info:
    record creation date: 170531
    record change date: 20170531045122.0
    record identifier: 978-0-387-87710-5