A Computational Approach to Steady State Correspondence of Regular and Generalized Mass Action Systems.

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 Biol

authors

Johnston MD

doi

10.1007/s11538-015-0077-5

subject

Has Abstract

pub_date

2015-06-01 00:00:00

pages

1065-100

issue

6

eissn

0092-8240

issn

1522-9602

journal_volume

77

pub_type

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