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

Research output: Contribution to journal › Article › peer-review

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/10.1016/s0092-8240(82)80010-4
State	Published - Sep 1982
Externally published	Yes

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10.1016/s0092-8240(82)80010-4

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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",

year = "1982",

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AU - Weisbuch, G.

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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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U2 - 10.1016/s0092-8240(82)80010-4

DO - 10.1016/s0092-8240(82)80010-4

M3 - Article

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VL - 44

SP - 715

EP - 730

JO - Bulletin of Mathematical Biology

JF - Bulletin of Mathematical Biology

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Specific roles of the different boolean mappings in random networks

Abstract

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