https://doi.org/10.1140/epjb/e2004-00055-7
Random model for RNA interference yields scale free network
1
Department of Physics, Faculty of Sciences and
Letters,
Istanbul Technical University, Maslak 34469, Istanbul, Turkey
2
Gürsey Institute, POB 6, Çengelköy, 34680 Istanbul,
Turkey
Corresponding author: a erzan@gursey.gov.tr
Received:
21
October
2003
Published online:
30
March
2004
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 
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.
PACS: 87.10.+e – General theory and mathematical aspects / 89.75.Hc – Networks and genealogical trees
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004
