Percolation on an autonomous network
Percolation on the gene regulatory network
Giuseppe Torrisi, Reimer Kühn, and Alessia Annibale
King’s College London, UK
A theoretical analysis, adapting percolation theory to directed bipartite graphs (such as coupled dynamics of transcription factors and genes), investigating conditions under which genetic networks can support a multiplicity of stable gene expression patterns, as required in stable cell types.
The analysis uses a framework for autonomous dynamical systems, which is particular relevant for the long-term evolution of a system with weak external input.