Chemical Reaction Network Decomposition Technique for Stability Analysis

Lu, Yafei;Gao, Chuanhou;Dochain, Denis
(2022) Automatica — p. 110650 (2021)

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Authors
  • Lu, YafeiZhejiang University
    Author
  • Gao, ChuanhouZhejiang University
    Author
  • Dochain, Denisorcid-logoUCLouvain
    Author
Abstract
This paper develops the concept of decomposition for chemical reaction networks, based on which a network decomposition technique is proposed to capture the stability of large-scale networks characterized by a high number of species, high dimension, high deficiency, and/or non-weakly reversible structure. We present some sufficient conditions to capture the stability of a network (may possess any dimension, any deficiency, and/or any topological structure) when it can be decomposed into a complex balanced subnetwork and a few 1-dimensional subnetworks (and/or a few two-species subnetworks), especially in the case when there are shared species in different subnetworks. The results cover encouraging applications on autocatalytic networks with some frequently-encountered biochemical reactions examples of interest, such as the autophosphorylation of PAK1 and Aurora B kinase, autocatalytic cycles originating from metabolism, etc.
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Citations

Lu, Y., Gao, C., & Dochain, D. (2022). Chemical Reaction Network Decomposition Technique for Stability Analysis. Automatica, 110650. https://hdl.handle.net/2078.5/217969 (Original work published 2021)