Specific roles of the different Boolean mappings in random networks

F. Fogelman-Soulie; E. Goles-Chacc; G. Weisbuch

doi:10.1016/S0092-8240(82)80010-4

Specific roles of the different Boolean mappings in random networks

F. Fogelman-Soulie
, E. Goles-Chacc
, G. Weisbuch

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

23 Citas (Scopus)

Resumen

Random Boolean networks have striking properties of self-organization. In this paper we propose an algorithm based on the different roles of Boolean mappings and on the connection structure to analyze the organization of the network. For a few cases-transfer mappings, AND/OR, equivalence/XOR-rigorous results are obtained about the dynamics of homogeneous networks. Conclusions are then drawn concerning the non-homogeneous networks.

Idioma original	Inglés
Páginas (desde-hasta)	715-730
Número de páginas	16
Publicación	Bulletin of Mathematical Biology
Volumen	44
N.º	5
DOI	https://doi.org/10.1016/S0092-8240(82)80010-4
Estado	Publicada - 1982
Publicado de forma externa	Sí

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title = "Specific roles of the different Boolean mappings in random networks",

abstract = "Random Boolean networks have striking properties of self-organization. In this paper we propose an algorithm based on the different roles of Boolean mappings and on the connection structure to analyze the organization of the network. For a few cases-transfer mappings, AND/OR, equivalence/XOR-rigorous results are obtained about the dynamics of homogeneous networks. Conclusions are then drawn concerning the non-homogeneous networks.",

author = "F. Fogelman-Soulie and E. Goles-Chacc and G. Weisbuch",

note = "Funding Information: We thank Prof. H. Atlan for helpful discussions and Dr J. Salomon for help in programming. We also want to acknowledge criticism and remarks made by the referees. This research was supported by a CNRS grant (ATP Analyse de Syst\textasciitilde{}mes-ERA No. 373) and an INSERM (France)-CNRD (Israel) grant.",

year = "1982",

doi = "10.1016/S0092-8240(82)80010-4",

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AU - Fogelman-Soulie, F.

AU - Goles-Chacc, E.

AU - Weisbuch, G.

N1 - Funding Information: We thank Prof. H. Atlan for helpful discussions and Dr J. Salomon for help in programming. We also want to acknowledge criticism and remarks made by the referees. This research was supported by a CNRS grant (ATP Analyse de Syst~mes-ERA No. 373) and an INSERM (France)-CNRD (Israel) grant.

PY - 1982

Y1 - 1982

N2 - Random Boolean networks have striking properties of self-organization. In this paper we propose an algorithm based on the different roles of Boolean mappings and on the connection structure to analyze the organization of the network. For a few cases-transfer mappings, AND/OR, equivalence/XOR-rigorous results are obtained about the dynamics of homogeneous networks. Conclusions are then drawn concerning the non-homogeneous networks.

AB - Random Boolean networks have striking properties of self-organization. In this paper we propose an algorithm based on the different roles of Boolean mappings and on the connection structure to analyze the organization of the network. For a few cases-transfer mappings, AND/OR, equivalence/XOR-rigorous results are obtained about the dynamics of homogeneous networks. Conclusions are then drawn concerning the non-homogeneous networks.

UR - https://www.scopus.com/pages/publications/0020366348

U2 - 10.1016/S0092-8240(82)80010-4

DO - 10.1016/S0092-8240(82)80010-4

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VL - 44

SP - 715

EP - 730

JO - Bulletin of Mathematical Biology

JF - Bulletin of Mathematical Biology

IS - 5

ER -

Specific roles of the different Boolean mappings in random networks

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