The distribution of small avalanches of gene perturbationsis analytically studied in the quenched model ofrandom Boolean networks, providing formulae whichhold at a very good approximation for networks wherethe number of connections per node is much smaller thanthe number of nodes. The expressions are particularlysimple and elegant in the case of a Poissonian distributionof outgoing connectivities. Comparisons with simulationsof a large network, with 6000 nodes, show verygood agreement.
On the distribution of small avalanches in random boolean networks / Villani, Marco; Serra, Roberto; Graudenzi, Alex; Kauffman, S. A.. - ELETTRONICO. - 33:(2006), pp. 93-96. (Intervento presentato al convegno Fourth International Workshop on Computational Systems Biology, WCSB 2006 tenutosi a Tampere, Finland nel June 12-13, 2006).
On the distribution of small avalanches in random boolean networks
VILLANI, Marco;SERRA, Roberto;GRAUDENZI, Alex;
2006
Abstract
The distribution of small avalanches of gene perturbationsis analytically studied in the quenched model ofrandom Boolean networks, providing formulae whichhold at a very good approximation for networks wherethe number of connections per node is much smaller thanthe number of nodes. The expressions are particularlysimple and elegant in the case of a Poissonian distributionof outgoing connectivities. Comparisons with simulationsof a large network, with 6000 nodes, show verygood agreement.Pubblicazioni consigliate
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