The IRMA Community
Newsletters
Research IRM
Click a keyword to search titles using our InfoSci-OnDemand powered search:
|
Modeling Colorectal Cancer: A Stability Analysis Approach
|
|
Author(s): Svetoslav Nikolov (University of Rostock, Germany & Institute of Mechanics and Biomechanics, Bulgaria), Mukhtar Ullah (University of Rostock, Germany), Momchil Nenov (Institute of Mechanics and Biomechanics, Bulgaria), Julio Vera Gonzalez (University of Rostock, Germany), Peter Raasch (University of Rostock, Germany) and Olaf Wolkenhauer (University of Rostock, Germany)
Copyright: 2013
Pages: 23
Source title:
Medical Advancements in Aging and Regenerative Technologies: Clinical Tools and Applications
Source Author(s)/Editor(s): Andriani Daskalaki (Max Planck Institute for Molecular Genetics, Germany)
DOI: 10.4018/978-1-4666-2506-8.ch003
Purchase
|
Abstract
Mathematical modeling is increasingly used to improve our understanding of colorectal cancer. In the first part of this chapter, the authors give a review of systems biology approaches to investigate colorectal cancer. In the second part, the mathematical model proposed by Johnston et al. (2007) is expanded to include time delays and analysed for its stability. For both models, the original and the extended version, the authors obtain the necessary and sufficient conditions for stability. This is confirmed by numerical simulations. Thus, some new mathematical and biological results are obtained.
Related Content
|
Julia Zimmer, Elisa Degenkolbe, Britt Wildemann, Petra Seemann.
© 2013.
30 pages.
|
|
George I. Lambrou, Maria Adamaki, Apostolos Zaravinos.
© 2013.
22 pages.
|
|
Svetoslav Nikolov, Mukhtar Ullah, Momchil Nenov, Julio Vera Gonzalez, Peter Raasch, Olaf Wolkenhauer.
© 2013.
23 pages.
|
|
Ana M. Sotoca, Michael Weber, Everardus J. J. van Zoelen.
© 2013.
19 pages.
|
|
Franz Ricklefs, Sonja Schrepfer.
© 2013.
16 pages.
|
|
Sonja Schallenberg, Cathleen Petzold, Julia Riewaldt, Karsten Kretschmer.
© 2013.
25 pages.
|
|
Ali Mobasheri.
© 2013.
32 pages.
|
|
|