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arxiv: 1710.10637 · v2 · pith:UBQLTXMOnew · submitted 2017-10-29 · 🧮 math.DS · q-bio.MN

Network translation and steady state properties of chemical reaction systems

classification 🧮 math.DS q-bio.MN
keywords networkstatesteadytranslationsystemsabsoluteactionchemical
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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.

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