Random walk networks

Bartolo Luque and Fernando J. Ballesteros

Physica A: Statistical Mechanics and its Applications, 2004, vol. 342, issue 1, 207-213

Abstract: 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.

Keywords: Random networks; Stochastic processes; Random walks; Monte Carlo methods (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:342:y:2004:i:1:p:207-213

DOI: 10.1016/j.physa.2004.04.080

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