Hamiltonian energy as an efficient approach to identify the significant key regulators in biological networks
Fig 2
The Level in ARG network with Hamiltonian energy and probability of signal transduction of each hub.
(A) The descendants of ARG network in the basic levels of the network, showing the significant existence of modules with their corresponding sub-modules and sub-sub-modules in the network. Zoom in of ARG network, modules with their corresponding sub-modules and sub-sub-modules in the network are indicated in dotted line. Hubs, which present up to the last level (motif level) of the apoptosis network, referred to as motif hub node, are shown in cyan color. (B) The Hamiltonian energy of the network calculated shows a decrease in its value as levels of the network (U) increases indicating faster information processing in the ARG network. (C) Hamiltonian energy, based on hub interacting partners in modules also show similar behaviour as in (B) indicating NFk-B1 as a potential key regulator in the ARG network. (D) Hamiltonian energy based on the module having the particular hub indicating NFk-B1 as a potential key regulator in the ARG network.