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Author, Editor(s)

Author(s):

Weber, Andreas
Sturm, Thomas
Abdel-Rahman, Essam O.

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Not MPG Author(s):

Weber, Andreas
Abdel-Rahman, Essam O.

BibTeX cite key*:

WeberSturm:11a

Title

Title*:

Algorithmic Global Criteria for Excluding Oscillations

Journal

Journal Title*:

Bulletin of Mathematical Biology

Journal's URL:

http://www.springerlink.com/content/0092-8240/

Download URL
for the article:

http://www.springerlink.com/content/5238455w344h1066/fulltext.pdf

Language:

English

Publisher

Publisher's
Name:

Springer

Publisher's URL:

http://www.springer-ny.com/

Publisher's
Address:

New York, NY

ISSN:

0092-8240

Vol, No, pp, Date

Volume*:

73

Number:

4

Publishing Date:

April 2011

Pages*:

899-916

Number of
VG Pages:

31

Page Start:

899

Page End:

916

Sequence Number:


DOI:

10.1007/s11538-010-9618-0

Note, Abstract, ©

Note:


(LaTeX) Abstract:

We investigate algorithmic methods to tackle the following problem: Given a system of parametric ordinary differential equations built by a biological model, does there exist ranges of values for the model parameters and variables which are both meaningful from a biological point of view and where oscillating trajectories, can be found? We show that in the common case of polynomial vector fields known criteria excluding the existence of non-constant limit cycles lead to quantifier elimination problems over the reals. We apply these criteria to various models that have been previously investigated in the context of algebraic biology.

URL for the Abstract:

http://www.springerlink.com/content/5238455w344h1066/

Categories,
Keywords:

Oscillations, Mass action kinetics

HyperLinks / References / URLs:


Copyright Message:


Personal Comments:


Download
Access Level:

Public

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Automation of Logic

Audience:

experts only

Appearance:

MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort


BibTeX Entry:

@ARTICLE{WeberSturm:11a,
AUTHOR = {Weber, Andreas and Sturm, Thomas and Abdel-Rahman, Essam O.},
TITLE = {Algorithmic Global Criteria for Excluding Oscillations},
JOURNAL = {Bulletin of Mathematical Biology},
PUBLISHER = {Springer},
YEAR = {2011},
NUMBER = {4},
VOLUME = {73},
PAGES = {899--916},
ADDRESS = {New York, NY},
MONTH = {April},
ISBN = {0092-8240},
DOI = {10.1007/s11538-010-9618-0},
}


Entry last modified by Thomas Sturm, 03/16/2012
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Editor(s)
[Library]
Created
01/16/2012 12:33:19 PM
Revision
0.



Editor
Thomas Sturm



Edit Date
01/16/2012 12:33:19 PM



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