Random walk networks

Random Boolean networks are among the best-known systems used to model genetic networks. They show an on–off dynamics and it is easy to obtain analytical results with them. Unfortunately very few genes are strictly on–off switched. On the other hand, continuous methods are in principle more suitable...

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Bibliographic Details
Published in:Physica A 2004-10, Vol.342 (1), p.207-213
Main Authors: Luque, Bartolo, Ballesteros, Fernando J.
Format: Article
Language:English
Subjects:
Monte Carlo methods
Random networks
Random walks
Stochastic processes
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Summary:Random Boolean networks are among the best-known systems used to model genetic networks. They show an on–off dynamics and it is easy to obtain analytical results with them. Unfortunately very few genes are strictly on–off switched. On the other hand, continuous methods are in principle more suitable to capture the real behavior of the genome, but have difficulties when trying to obtain analytical results. In this work, we introduce a new model of random discrete network: random walk networks, where the state of each gene is changed by small discrete variations, being thus a natural bridge between discrete and continuous models.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2004.04.080