Mean Field Model of Genetic Regulatory Networks

Details Mean Field Model of Genetic Regulatory Networks Mean Field Model of Genetic Regulatory Networks

2006-06-16

arxiv.org/abs/q-bio/0606022v2

Biology

Quantitative Biology

Quantitative Methods

Changed content and notation

Scientific paper

10.1088/1367-2630/8/8/148

In this paper, we propose a mean-field model which attempts to bridge the gap between random Boolean networks and more realistic stochastic modeling of genetic regulatory networks. The main idea of the model is to replace all regulatory interactions to any one gene with an average or effective interaction, which takes into account the repression and activation mechanisms. We find that depending on the set of regulatory parameters, the model exhibits rich nonlinear dynamics. The model also provides quantitative support to the earlier qualitative results obtained for random Boolean networks.

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