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 Modeling of Complex Biological Systems
    sub title: A Kinetic Theory Approach
  name:
    name part: Bellouquid, Abdelghani.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Delitala, Marcello.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 188 p. 47 illus. online resource.
  abstract: This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systems—comprised of large populations of interacting cells—whose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. The authors propose a new biological model for the analysis of competition between cells of an aggressive host and cells of a corresponding immune system. Because the microscopic description of a biological system is far more complex than that of a physical system of inert matter, a higher level of analysis is needed to deal with such complexity. Mathematical models using kinetic theory may represent a way to deal with such complexity, allowing for an understanding of phenomena of nonequilibrium statistical mechanics not described by the traditional macroscopic approach. The proposed models are related to the generalized Boltzmann equation and describe the population dynamics of several interacting elements (kinetic population models). The particular models proposed by the authors are based on a framework related to a system of integro-differential equations, defining the evolution of the distribution function over the microscopic state of each element in a given system. Macroscopic information on the behavior of the system is obtained from suitable moments of the distribution function over the microscopic states of the elements involved. The book follows a classical research approach applied to modeling real systems, linking the observation of biological phenomena, collection of experimental data, modeling, and computational simulations to validate the proposed models. Qualitative analysis techniques are used to identify the prediction ability of specific models. The book will be a valuable resource for applied mathematicians as well as researchers in the field of biological sciences. It may be used f…
  table of contents: On the Modelling of Complex Biological Systems -- Mathematical Frameworks of the Generalized Kinetic (Boltzmann) Theory -- Modelling the Immune Competition and Applications -- On the Cauchy Problem -- Simulations, Biological Interpretations, and Further Modelling Perspectives -- Models with Space Structure and the Derivation of Macroscopic Equations -- Critical Analysis and Forward Perspectives.
  note: by Abdelghani Bellouquid, Marcello Delitala.
  subject:
    topic: Life sciences
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematical models
  subject:
    topic: Biomathematics
  subject:
    topic: Life Sciences
  subject:
    topic: Life Sciences, general
  subject:
    topic: Mathematical Modeling and Industrial Mathematics
  subject:
    topic: Mathematical and Computational Biology
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Genetics and Population Dynamics
  subject:
    topic: Physiological, Cellular and Medical Topics
  classification: QH301-705
  classification: 570
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Modeling and Simulation in Science, Engineering and Technology
  identifier: 9780817645038
  identifier: http://dx.doi.org/10.1007/978-0-8176-4503-8
  record info:
    record creation date: 100301
    record change date: 20151204143227.0
    record identifier: 978-0-8176-4503-8