Abstract:
:It has been recently observed that the dynamical properties of mass action systems arising from many models of biochemical reaction networks can be characterized by considering the corresponding properties of a related generalized mass action system. The correspondence process known as network translation in particular has been shown to be useful in characterizing a system's steady states. In this paper, we further develop the theory of network translation with particular focus on a subclass of translations known as improper translations. For these translations, we derive conditions on the network topology of the translated network which are sufficient to guarantee the original and translated systems share the same steady states. We then present a mixed-integer linear programming algorithm capable of determining whether a mass action system can be corresponded to a generalized system through the process of network translation.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Johnston MDdoi
10.1007/s11538-015-0077-5subject
Has Abstractpub_date
2015-06-01 00:00:00pages
1065-100issue
6eissn
0092-8240issn
1522-9602journal_volume
77pub_type
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