NDLI: Evaluating the robustness of a biochemical network model

Content Provider	IEEE Xplore Digital Library
Author	Ghaemi, R. Del Vecchio, D.
Copyright Year	2007
Description	Author affiliation: Michigan Univ., Ann Arbor (Ghaemi, R.; Del Vecchio, D.)
Abstract	Mathematical models of robust biological systems are expected to be robust against small variations in the model's parameters. In this paper, we investigate the robustness of the model proposed by Laub and Loomis for the molecular network underlying adenosine 3',5'-cycle monophosphate (cAMP) oscillations observed in populations of Dictyostelium cells 4 hours after the initiation of development. This is performed by using bifurcation analysis. In particular, we reduce the problem to study the persistence of the periodic orbit that arises from Hopf bifurcation as one key parameter is varied. By introducing an optimization problem, we determine the maximum allowed parameter variation under which the oscillatory behavior of the system persists. We obtain maximum allowed variation of 0.51% and show that this bound is tight.
Starting Page	615
Ending Page	620
File Size	340866
Page Count	6
File Format	PDF
ISBN	9781424414970
ISSN	01912216
DOI	10.1109/CDC.2007.4434348
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-12-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Robustness Biological systems Bifurcation Robust control Biological system modeling Mathematical model Extraterrestrial measurements Computer networks Linear approximation Biological control systems
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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