Specific roles of the different boolean mappings in random networks

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

doi:10.1007/BF02462279

Specific roles of the different boolean mappings in random networks

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

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23 Scopus citations

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.

Original language	English
Pages (from-to)	715-730
Number of pages	16
Journal	Bulletin of Mathematical Biology
Volume	44
Issue number	5
DOIs	https://doi.org/10.1007/BF02462279
State	Published - Sep 1982
Externally published	Yes

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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~mes-ERA No. 373) and an INSERM (France)-CNRD (Israel) grant.",

year = "1982",

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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 - 1982/9

Y1 - 1982/9

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.

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JF - Bulletin of Mathematical Biology

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ER -

Specific roles of the different boolean mappings in random networks

Abstract

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