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Fig. 2 | BMC Systems Biology

Fig. 2

From: The decrease of consistence probability: at the crossroad of catastrophic transition of a biological system

Fig. 2

The validation of HMM-based method on a simulation dataset. To validate the sensitivity and effectiveness, our method was applied to the simulated dataset from a seven-node network. a The seven-node network, in which the nodes represent the biomolecules, and links represent the inter regulation between biomolecules. The network model described by a stochastic equation set is presented in Result. The tipping point is at a critical parameter value q c =0 in the theoretical model, where the system undergoes a critical transition. b From the C-score of the network, it can be seen that an abrupt decrease of the score signals the imminent critical transition at q c =0. c We illustrate the frequency distribution of the weight of links, i.e., the ratio of each emergent PCC value. It can be seen that when the system is in a normal state, i.e., the parameter q is far away from the critical value q c =0 (say, q=0.3,q=0.2), there are few edges with large PCC, which shows the weak correlation between the genes. However, while the parameter q approaches the critical value q c =0(q=0.005), the distribution is quite different, i.e., the ratio of 0.9-PCC-links increases considerably. The simulations were performed in MATLAB(R2013a) using the Euler-Maruyama integration method with the Ito calculus

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