Random model for RNA interference yields scale free network

Details Random model for RNA interference yields scale free network Random model for RNA interference yields scale free network

2003-10-21

arxiv.org/abs/q-bio/0310027v1

Biology

Quantitative Biology

Genomics

9 pages, 13 figures, submitted to Midterm Conference COSIN on ``Growing Networks and Graphs in Statistical Physics, Finance, B

Scientific paper

10.1140/epjb/e2004-00055-7

We introduce a random bit-string model of post-transcriptional genetic regulation based on sequence matching. The model spontaneously yields a scale free network with power law scaling with $ \gamma=-1$ and also exhibits log-periodic behaviour. The in-degree distribution is much narrower, and exhibits a pronounced peak followed by a Gaussian distribution. The network is of the smallest world type, with the average minimum path length independent of the size of the network, as long as the network consists of one giant cluster. The percolation threshold depends on the system size.

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