Random walk networks

Author(s): Luque, B; Ballesteros, FJ

Conference: 8th Latin American Workshop[ on Nonlinear Phenomena Location: Salvador, BRAZIL Date: SEP 28-OCT 03, 2003

Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS  Volume: 342   Issue: 1-2   Pages: 207-213   DOI: 10.1016/j.physa.2004.04.080   Published: OCT 15 2004

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. (C) 2004 Elsevier B.V. All rights reserved.