\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2011, Volume 2011: 32-43. Doi: 10.3934/proc.2011.2011.32 open access
This issue Previous Article Well-posedness and large-time behaviors of solutions for a parabolic equation involving $p(x)$-Laplacian Next Article On the Glimm Functional for general hyperbolic systems

A model for stem cell population dynamics with regulated maturation delay

  • 1.

    Centre de Recerca Matem, Campus de Bellaterra, Edifici C, 08193 Bellaterra, Barcelona

  • 2.

    BCAM (Basque Center For Applied Mathematics), Bizkaia Technology Park, Building 500, E-48160 Derio

  • 3.

    University of Heidelberg, Interdisciplinary Center for Scientific Computing (IWR), Institute of Applied Mathematics and BIOQUANT, Im Neuenheimer Feld 267, 69120 Heidelberg

  • 4.

    CIC BioGUNE, Bizkaia Technology Park, Building 801 A, E-48160 Derio

Received:  June 30, 2010
Revised:  March 31, 2011
Published:  August 2017
Abstract Related Papers Cited by
    Abstract
  • We develop a structured population model for the maturation process of stem cells in the form of a state-dependent delay di erential equation. Moreover, results on existence, uniqueness and positivity of solutions as well as conditions of existence for equilibria and representations of these are established. We give biological interpretations for the conditions of existence of equilibria.
    Mathematics Subject Classification: Primary: 34K05; Secondary: 92B05.

    Citation:
    shu

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

Article Metrics

HTML views() PDF downloads(148) 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