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Methods of Small Parameter in Mathematical Biology

This monograph presents new tools for modeling multiscale biological processes. Natural processes are usually driven by mechanisms widely differing from each other in the time or space scale at which they operate and thus should be described by appropriate multiscale models. However, looking at all...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Banasiak, Jacek (Author), Lachowicz, Mirosław (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
Edition:1st ed. 2014.
Series:Modeling and Simulation in Science, Engineering and Technology,
Subjects:
Online Access:Texto Completo
Table of Contents:
  • 1 Small parameter methods - basic ideas
  • 2 Introduction to the Chapman-Enskog method - linear models with migrations
  • 3 Tikhonov-Vasilyeva theory
  • 4 The Tikhonov theorem in some models of mathematical biosciences
  • 5 Asymptotic expansion method in a singularly perturbed McKendrick problem
  • 6 Diffusion limit of the telegraph equation
  • 7 Kinetic model of alignment
  • 8 From microscopic to macroscopic descriptions. - 9 Conclusion.