Fig. 3
Simulated network connectivity degeneration determines a phase-transition in network topology with cascading effects on functional connectivity. A Average FC for various level of stimulus intensity at fixed \(cp\) and \(lp\), \(cp\)<0.5. FC steeply increase with stimulus intensity (see inset). B Average FC for various level of stimulus intensity at fixed \(cp\) and \(lp\), \(cp\)>0.5. C Simulated FC according to \(cp\) and \(lp\) values. FC is computed as percentage of relevant functional connections from occipital regions to extra-occipital regions. Each point represents the value of the FC computed from a simulation with a given combination of \(cp\) and \(lp\). Values are normalized for better visualization. D Efficiency in the brain network. Blue edges represent high Efficiency links, while red edges represent low Efficiency links. E Assortativity in the brain network. Notation is the same as (D). F Efficiency values according to \(cp\) for different values of number of disconnected regions. Red represents the value used for simulations. At \(cp\)=0.5 there is a first-order phase transition dependent on the number of disconnected regions. Red curve represents the value used for simulations. G Efficiency values according to \(cp\) for different values of neuroplasticity. Same notations as in (F). H Linear regression between magnitude of phase transition in Efficiency and number of disconnected nodes. Red box represents the value selected for simulations. I Logarithmic fit capturing the relationship between the magnitude of phase transition in Efficiency and neuroplasticity. Notation is the same as in (H). J Assortativity according to \(cp\) for different values of number of disconnected regions. Same notation as in (F). K Assortativity according to \(cp\) for different values of neuroplasticity. Same notations as in (F). L Linear regression between average Assortativity and number of disconnected nodes. Error bars represent standard deviation values. Red box represents the value selected for simulations. M Logarithmic fit between neuroplasticity and Assortativity values. Notation is the same as in (L). Abbreviations: \(cp\): connectivity parameter; FC: Functional Connectivity; \(lp\): local parameter