2019
DOI: 10.1007/978-3-030-19432-1_7
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On the Existence of Synergies and the Separability of Closed Reaction Networks

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Cited by 3 publications
(7 citation statements)
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“…There are various mathematical properties that on the one hand facilitate their computation and on the other hand provide conceptual tools to understand the inner workings of selforganization. We will not dig in the details of the theory, but refer the interested reader to (Veloz and Razeto-Barry, 2017b;Veloz et al, 2018) and references therein. COT complements a solid and actively growing theoretical framework to study the dynamics of a reaction networks at both quantitative and qualitative level.…”
Section: Reaction Network Cot and Emergencementioning
confidence: 99%
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“…There are various mathematical properties that on the one hand facilitate their computation and on the other hand provide conceptual tools to understand the inner workings of selforganization. We will not dig in the details of the theory, but refer the interested reader to (Veloz and Razeto-Barry, 2017b;Veloz et al, 2018) and references therein. COT complements a solid and actively growing theoretical framework to study the dynamics of a reaction networks at both quantitative and qualitative level.…”
Section: Reaction Network Cot and Emergencementioning
confidence: 99%
“…From here, several computational and structural properties have been developed in recent years. We will not dig further on the structural properties of closed sets but refer to (Veloz et al, 2018) for further analysis.…”
Section: Closed Reaction Networkmentioning
confidence: 99%
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“…When two or more organizations interact, a new reaction network is formed. As the new reaction network can have reactions that are not in any of the former organizations, the union of two (or more) organizations may or may not be an organization [34]. These new reactions can trigger new products, and thus the union is not necessarily closed.…”
Section: Discussionmentioning
confidence: 99%
“…Moreover, in [28], Theorem 1 is extended to other stable asymptotic behaviors such as periodic orbits and limit cycles. In addition to these results, necessary conditions for the existence of adequate processes, and their relation to other theories that connect structure and dynamics such as Petri-Nets and Deficiency theory, are explored in [14,15,29], and algorithmic studies concerning the computation of the organizations of a reaction network are presented in [30][31][32][33][34].…”
Section: Goal-oriented Systems Are Organizationsmentioning
confidence: 99%