\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2007, Volume 8, Issue 1: 45-60. Doi: 10.3934/dcdsb.2007.8.45
This issue Previous Article Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions Next Article Some remarks on a singular reaction-diffusion system arising in predator-prey modeling

An age and spatially structured model of tumor invasion with haptotaxis

  • 1.

    Department of Mathematics, Mansfield College, Oxford University, Oxford, England

  • 2.

    Depto. de Matemática Aplicada, E.T.S.I. Industriales, c. José Gutiérrez Abascal, 2, 28006 Madrid

  • 3.

    Dipartimento di Matematica Pura e Applicata, Universita' di Padova, Padua

  • 4.

    Mathematics Department, Vanderbilt University, Nashville, TN 37240

Received:  October 31, 2006
Revised:  November 30, 2006
Published:  December 2006
Abstract Related Papers Cited by
    Abstract
  • A model of tumor growth into surrounding tissue is analyzed. The model consists of a system of nonlinear partial differential equations for the populations of tumor cells, extracellular matrix macromolecules, oxygen concentration, and extracellular matrix degradative enzyme concentration. The spatial growth of the tumor involves the directed movement of tumor cells toward the extracellular matrix through haptotaxis. Cell age is used to track progression of cells through the cell cycle. The existence of unique global solutions is proved using the theory of fractional powers of analytic semigroup generators.
    Mathematics Subject Classification: Primary:92B05,92D25,47D03,47H20; Secondary: 35M10.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(102) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2023 American Institute of Mathematical Sciences