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Figure 5 | BMC Systems Biology

Figure 5

From: Monotonicity, frustration, and ordered response: an analysis of the energy landscape of perturbed large-scale biological networks

Figure 5

Relative Hamming distance (number of spin flips over the number of nodes) between pairs of minima found by the algorithms for a transcriptional, E.coli-transcr , (a), a signaling, EGFR-signal , (b), and a metabolic, Yeast-metab , (c), network. The top plots refer to pairs of global minima; the middle row to pairs global-local minima and the bottom row to pairs of local minima. In all three networks the red line delimits the global symmetry axis of the spin assignment (the locations of the minima have a global spin flip symmetry; the different height of the peaks means that an area has been explored less by the random searches of the algorithm, not that they have different "probabilities"). While for E.coli-transcr and Yeast-metab the minima are concentrated in a single well, which is quite tight and located near the right margin of the histograms (i.e., short interminimum distances), in EGFR-signal there are two such wells and they are disjoint and quite broad. In all 3 networks, adding the local minima, the landscape of minima becomes diffuse, with many different local minima located at varying distances from the global ones.

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