Literature DB >> 30088181

Network Translation and Steady-State Properties of Chemical Reaction Systems.

Elisa Tonello1, Matthew D Johnston2.   

Abstract

Network translation has recently been used to establish steady-state properties of mass action systems by corresponding the given system to a generalized one which is either dynamically or steady-state equivalent. In this work, we further use network translation to identify network structures which give rise to the well-studied property of absolute concentration robustness in the corresponding mass action systems. In addition to establishing the capacity for absolute concentration robustness, we show that network translation can often provide a method for deriving the steady-state value of the robust species. We furthermore present a MILP algorithm for the identification of translated chemical reaction networks that improves on previous approaches, allowing for easier application of the theory.

Keywords:  Biochemical reaction graph; Dynamical systems; Linear programming; Mass action systems; Robustness

Mesh:

Year:  2018        PMID: 30088181     DOI: 10.1007/s11538-018-0458-7

Source DB:  PubMed          Journal:  Bull Math Biol        ISSN: 0092-8240            Impact factor:   1.758


  1 in total

1.  A Deficiency-Based Approach to Parametrizing Positive Equilibria of Biochemical Reaction Systems.

Authors:  Matthew D Johnston; Stefan Müller; Casian Pantea
Journal:  Bull Math Biol       Date:  2018-12-31       Impact factor: 1.758

  1 in total

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