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Graph theory and qualitative analysis of reaction networks
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Domijan, Mirela and Kirkilionis, Markus (2008) Graph theory and qualitative analysis of reaction networks. In: Annual European Conference on Complex Systems, Dresden, Germany, Oct 01-06, 2007. Published in: Networks and Heterogeneous Media , Vol.3 (No.2). pp. 295-322. ISSN 1556-1801.
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Abstract
Different types of macroscopic reaction kinetics can be derived from microscopic molecular interactions, with the law of mass action being the most widely used one in standard situations. After such a modeling step, where primarily the types of reactions are identified, it becomes a problem to analyse qualitative properties of complete regulatory networks. This problem has to be tackled, because chemical reaction networks play a part in some of the most fundamental cellular processes such as cell metabolism and regulation of cell signalling processes. This paper discusses how reaction networks can be described and analysed by graph theoretic means. Graph theory is a useful analysis tool for complex reaction networks, in situations where there is parameter uncertainty or modeling information is incomplete. Graphs are very robust tools, in the sense that whole classes of network topologies will show similar behaviour, independently of precise information that is available about the reaction constants. Nevertheless, one still has to take care to incorporate sufficient dynamical information in the network structure, in order to obtain meaningful results.
| Item Type: | Conference Item (UNSPECIFIED) | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Graph theory, Qualitative research, Chemical reactions -- Mathematical models | ||||
| Journal or Publication Title: | Networks and Heterogeneous Media | ||||
| Publisher: | American Institute of Mathematical Sciences | ||||
| ISSN: | 1556-1801 | ||||
| Official Date: | June 2008 | ||||
| Dates: |
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| Volume: | Vol.3 | ||||
| Number: | No.2 | ||||
| Number of Pages: | 28 | ||||
| Page Range: | pp. 295-322 | ||||
| Status: | Not Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Sixth Framework Programme (European Commission) (FP6) | ||||
| Title of Event: | Annual European Conference on Complex Systems | ||||
| Type of Event: | Conference | ||||
| Location of Event: | Dresden, Germany | ||||
| Date(s) of Event: | Oct 01-06, 2007 | ||||
| Related URLs: |
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