### Resumen

It is well known that closure is a necessary topological property for a reaction network to be dynamically stable. In this work we combine notions of chemical organization theory with structural properties of reaction networks to distill a minimal set of closed reaction networks that encodes the non-trivial stable dynamical regimes of the network. In particular, these non-trivial closed sets are synergetic, in the sense that their dynamics cannot always be computed from the dynamics of its closed constituents. We introduce a notion of separability for reaction networks and prove that it is strictly related to the notion of synergy. In particular, we provide a characterization of the non-trivial closed reaction networks by means of their degree of internal synergy. The less trivial the dynamics of the reaction network, the less can be separated into constituents, and equivalently the more synergies the reaction network has. We also discuss the computational and analytical benefits of this new representation of the dynamical structure of a reaction network.

Idioma original | English |
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Título de la publicación alojada | Molecular Logic and Computational Synthetic Biology - 1st International Symposium, MLCSB 2018, Revised Selected Papers |

Editores | Manuel A. Martins, Madalena Chaves |

Editorial | Springer Verlag |

Páginas | 105-120 |

Número de páginas | 16 |

ISBN (versión impresa) | 9783030194314 |

DOI | |

Estado | Published - 1 ene 2019 |

Evento | 1st International Symposium on Molecular Logic and Computational Synthetic Biology, MLCSB 2018 - Santiago, Chile Duración: 17 dic 2018 → 18 dic 2018 |

### Serie de la publicación

Nombre | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volumen | 11415 LNCS |

ISSN (versión impresa) | 0302-9743 |

ISSN (versión digital) | 1611-3349 |

### Conference

Conference | 1st International Symposium on Molecular Logic and Computational Synthetic Biology, MLCSB 2018 |
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País | Chile |

Ciudad | Santiago |

Período | 17/12/18 → 18/12/18 |

### Huella dactilar

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

### Citar esto

*Molecular Logic and Computational Synthetic Biology - 1st International Symposium, MLCSB 2018, Revised Selected Papers*(pp. 105-120). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11415 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-030-19432-1_7

}

*Molecular Logic and Computational Synthetic Biology - 1st International Symposium, MLCSB 2018, Revised Selected Papers.*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11415 LNCS, Springer Verlag, pp. 105-120, 1st International Symposium on Molecular Logic and Computational Synthetic Biology, MLCSB 2018, Santiago, Chile, 17/12/18. https://doi.org/10.1007/978-3-030-19432-1_7

**On the Existence of Synergies and the Separability of Closed Reaction Networks.** / Veloz, Tomas; Bassi, Alejandro; Maldonado, Pedro; Razeto, Pablo.

Resultado de la investigación: Conference contribution

TY - GEN

T1 - On the Existence of Synergies and the Separability of Closed Reaction Networks

AU - Veloz, Tomas

AU - Bassi, Alejandro

AU - Maldonado, Pedro

AU - Razeto, Pablo

PY - 2019/1/1

Y1 - 2019/1/1

N2 - It is well known that closure is a necessary topological property for a reaction network to be dynamically stable. In this work we combine notions of chemical organization theory with structural properties of reaction networks to distill a minimal set of closed reaction networks that encodes the non-trivial stable dynamical regimes of the network. In particular, these non-trivial closed sets are synergetic, in the sense that their dynamics cannot always be computed from the dynamics of its closed constituents. We introduce a notion of separability for reaction networks and prove that it is strictly related to the notion of synergy. In particular, we provide a characterization of the non-trivial closed reaction networks by means of their degree of internal synergy. The less trivial the dynamics of the reaction network, the less can be separated into constituents, and equivalently the more synergies the reaction network has. We also discuss the computational and analytical benefits of this new representation of the dynamical structure of a reaction network.

AB - It is well known that closure is a necessary topological property for a reaction network to be dynamically stable. In this work we combine notions of chemical organization theory with structural properties of reaction networks to distill a minimal set of closed reaction networks that encodes the non-trivial stable dynamical regimes of the network. In particular, these non-trivial closed sets are synergetic, in the sense that their dynamics cannot always be computed from the dynamics of its closed constituents. We introduce a notion of separability for reaction networks and prove that it is strictly related to the notion of synergy. In particular, we provide a characterization of the non-trivial closed reaction networks by means of their degree of internal synergy. The less trivial the dynamics of the reaction network, the less can be separated into constituents, and equivalently the more synergies the reaction network has. We also discuss the computational and analytical benefits of this new representation of the dynamical structure of a reaction network.

KW - Chemical organization theory

KW - Closure

KW - Reaction networks

KW - Self-organization

KW - Separability

KW - Synergy

UR - http://www.scopus.com/inward/record.url?scp=85065794482&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-19432-1_7

DO - 10.1007/978-3-030-19432-1_7

M3 - Conference contribution

AN - SCOPUS:85065794482

SN - 9783030194314

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 105

EP - 120

BT - Molecular Logic and Computational Synthetic Biology - 1st International Symposium, MLCSB 2018, Revised Selected Papers

A2 - Martins, Manuel A.

A2 - Chaves, Madalena

PB - Springer Verlag

ER -